Index

A

acceleration (class in pySDC.implementations.datatype_classes.particles) accumulate() (DeltaFormMixin method) acoustic_1d_imex (class in pySDC.implementations.problem_classes.AcousticAdvection_1D_FD_imex) AdamsBashforthExplicit1Step (class in pySDC.implementations.sweeper_classes.Multistep) AdamsMoultonImplicit1Step (class in pySDC.implementations.sweeper_classes.Multistep) AdamsMoultonImplicit2Step (class in pySDC.implementations.sweeper_classes.Multistep) AdaptiveAlpha (class in pySDC.implementations.convergence_controller_classes.adaptive_alpha) AdaptiveCollocation (class in pySDC.implementations.convergence_controller_classes.adaptive_collocation) Adaptivity (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityBase (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityCollocation (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityExtrapolationWithinQ (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityForConvergedCollocationProblems (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityPolynomialError (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityResidual (class in pySDC.implementations.convergence_controller_classes.adaptivity) AdaptivityRK (class in pySDC.implementations.convergence_controller_classes.adaptivity) add() (logging method) add_attr() (FrozenClass class method) add_axis() (SpectralHelper method) add_BC() (SpectralHelper method) add_component() (SpectralHelper method) add_convergence_controller() (Controller method) add_equation_lhs() (SpectralHelper method) add_hook() (Controller method) add_status_variable_to_level() (ConvergenceController method) add_status_variable_to_step() (ConvergenceController method) add_to_stats() (Hooks method) addField() (FieldsIO method) (Rectilinear method) advance_residual() (delta_implicit_MPI method) (DeltaFormMixin method) advectiondiffusion1d_imex (class in pySDC.implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT) advectiondiffusion1d_implicit (class in pySDC.implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT) advectionNd (class in pySDC.implementations.problem_classes.AdvectionEquation_ND_FD) allencahn2d_imex (class in pySDC.implementations.problem_classes.AllenCahn_2D_FFT) allencahn2d_imex_stab (class in pySDC.implementations.problem_classes.AllenCahn_2D_FFT) allencahn_front_finel (class in pySDC.implementations.problem_classes.AllenCahn_1D_FD) allencahn_front_fullyimplicit (class in pySDC.implementations.problem_classes.AllenCahn_1D_FD) allencahn_front_semiimplicit (class in pySDC.implementations.problem_classes.AllenCahn_1D_FD) allencahn_fullyimplicit (class in pySDC.implementations.problem_classes.AllenCahn_2D_FD) allencahn_imex (class in pySDC.implementations.problem_classes.AllenCahn_MPIFFT) allencahn_imex_timeforcing (class in pySDC.implementations.problem_classes.AllenCahn_MPIFFT) allencahn_multiimplicit (class in pySDC.implementations.problem_classes.AllenCahn_2D_FD)

allencahn_multiimplicit_v2 (class in pySDC.implementations.problem_classes.AllenCahn_2D_FD) allencahn_periodic_fullyimplicit (class in pySDC.implementations.problem_classes.AllenCahn_1D_FD) allencahn_periodic_multiimplicit (class in pySDC.implementations.problem_classes.AllenCahn_1D_FD) allencahn_periodic_semiimplicit (class in pySDC.implementations.problem_classes.AllenCahn_1D_FD) allencahn_semiimplicit (class in pySDC.implementations.problem_classes.AllenCahn_2D_FD) allencahn_semiimplicit_v2 (class in pySDC.implementations.problem_classes.AllenCahn_2D_FD) allencahn_temp_imex (class in pySDC.implementations.problem_classes.AllenCahn_Temp_MPIFFT) AllenCahnMonitor (class in pySDC.implementations.hooks.AllenCahn_monitor) ALLOW_OVERWRITE (FieldsIO attribute) allow_overwriting (LogToFile attribute) Allreduce() (FiredrakeEnsembleCommunicator method) (NCCLComm method) allreduce() (NCCLComm method) alpha (AdamsBashforthExplicit1Step attribute) (AdamsMoultonImplicit1Step attribute) (AdamsMoultonImplicit2Step attribute) (BackwardEuler attribute) (MultiStep attribute) apply() (pySDC_integrator method) apply_BCs() (RayleighBenard method) apply_mass_matrix() (fenics_grayscott method) (fenics_heat method) (fenics_vortex_2d method) (Problem method) apply_matrix() (controller_ParaDiag_MPI method) (controller_ParaDiag_nonMPI method) (ParaDiag method) ARK2 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK3 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK32 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK324L2SAERK (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK324L2SAESDIRK (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK54 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK548L2SA (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK548L2SAERK (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK548L2SAERK2 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK548L2SAESDIRK (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ARK548L2SAESDIRK2 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) asnumpy (firedrake_mesh property) attrs (Level attribute) (Pars attribute) (Status attribute) (Step attribute) auzinger (class in pySDC.implementations.problem_classes.Auzinger_implicit)

B

BackwardEuler (class in pySDC.implementations.sweeper_classes.Multistep) (class in pySDC.implementations.sweeper_classes.Runge_Kutta) Barrier() (NCCLComm method) base_transfer_mass (class in pySDC.implementations.transfer_classes.BaseTransfer_mass) base_transfer_MPI (class in pySDC.implementations.transfer_classes.BaseTransferMPI) BaseTransfer (class in pySDC.core.base_transfer) BasicRestarting (class in pySDC.implementations.convergence_controller_classes.basic_restarting) BasicRestartingMPI (class in pySDC.implementations.convergence_controller_classes.basic_restarting) BasicRestartingNonMPI (class in pySDC.implementations.convergence_controller_classes.basic_restarting) battery (class in pySDC.implementations.problem_classes.Battery) battery_implicit (class in pySDC.implementations.problem_classes.Battery) battery_n_capacitors (class in pySDC.implementations.problem_classes.Battery) bcast() (cupy_mesh method) (firedrake_mesh method) Bcast() (FiredrakeEnsembleCommunicator method) bcast() (mesh method) Bcast() (NCCLComm method) bcast() (petsc_vec method) bcs (GenericGusto property) bdf2 (class in pySDC.implementations.problem_classes.acoustic_helpers.standard_integrators) (class in pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators) beta (AdamsBashforthExplicit1Step attribute) (AdamsMoultonImplicit1Step attribute) (AdamsMoultonImplicit2Step attribute) (BackwardEuler attribute) (MultiStep attribute) BlockDecomposition (class in pySDC.helpers.blocks) border_padding() (in module pySDC.helpers.transfer_helper)

boris_2nd_order (class in pySDC.implementations.sweeper_classes.boris_2nd_order) boris_solver() (penningtrap method) boussinesq_2d_imex (class in pySDC.implementations.problem_classes.Boussinesq_2D_FD_imex) Brusselator (class in pySDC.implementations.problem_classes.Brusselator) buck_converter (class in pySDC.implementations.problem_classes.BuckConverter) build_f() (penningtrap method) buildGenerator() (Sweeper method) Burgers1D (class in pySDC.implementations.problem_classes.Burgers) Burgers2D (class in pySDC.implementations.problem_classes.Burgers) ButcherTableau (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ButcherTableauClass (ARK32 attribute) (ARK324L2SAERK attribute) (ARK54 attribute) (ARK548L2SA attribute) (ARK548L2SAERK attribute) (ARK548L2SAESDIRK2 attribute) (Cash_Karp attribute) (DIRK43 attribute) (ESDIRK43 attribute) (ESDIRK53 attribute) (Heun_Euler attribute) (RungeKutta attribute) (RungeKuttaNystrom attribute) ButcherTableauClass_explicit (ARK32 attribute) (ARK54 attribute) (ARK548L2SA attribute) (RungeKuttaIMEX attribute) ButcherTableauEmbedded (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ButcherTableauNoCollUpdate (class in pySDC.implementations.sweeper_classes.Runge_Kutta_Nystrom)

C

Cache (class in pySDC.implementations.sweeper_classes.Multistep) cache() (in module pySDC.helpers.spectral_helper) Callback (class in pySDC.implementations.problem_classes.boussinesq_helpers.helper_classes) Cash_Karp (class in pySDC.implementations.sweeper_classes.Runge_Kutta) CFLLimit (class in pySDC.implementations.problem_classes.RayleighBenard) ChebychevHelper (class in pySDC.helpers.spectral_helper) check_BCs() (SpectralHelper method) check_convergence() (CheckConvergence static method) check_iteration_status() (CheckConvergence method) (CheckIterationEstimatorNonMPI method) (ConvergenceController method) check_method() (ButcherTableau method) check_parameters() (AdaptiveCollocation method) (Adaptivity method) (AdaptivityCollocation method) (AdaptivityResidual method) (CheckIterationEstimatorNonMPI method) (ConvergenceController method) (EstimateExtrapolationErrorBase method) (EstimateExtrapolationErrorNonMPI method) (EstimatePolynomialError method) (HotRod method) check_variable_coefficients() (Controller method) check_weights() (ButcherTableau method) (ButcherTableauEmbedded method) CheckConvergence (class in pySDC.core.check_convergence) CheckIterationEstimatorNonMPI (class in pySDC.implementations.convergence_controller_classes.check_iteration_estimator) ChemicalReaction3Var (class in pySDC.implementations.problem_classes.odeSystem) coarse_reads_tau() (delta_transfer method) CollBase (class in pySDC.core.collocation) CollocationError comm (CrashBase attribute) (cupy_mesh attribute) (mesh attribute) (Rectilinear attribute) (SweeperMPI property) communicate_convergence() (CheckConvergence method) (ConvergenceController method) communicate_crash() (CrashBase method) communicate_tau_correction_for_full_interval() (SweeperMPI method) CommunicationError comp1 (comp2_cupy_mesh property) (comp2_mesh property) comp2 (comp2_cupy_mesh property) (comp2_mesh property) comp2_cupy_mesh (class in pySDC.implementations.datatype_classes.cupy_mesh) comp2_mesh (class in pySDC.implementations.datatype_classes.mesh) compareFields_MPI() (in module pySDC.helpers.fieldsIO) component_type (IMEX_firedrake_mesh attribute) (MultiComponentContainer attribute) (petsc_vec_comp2 attribute) (petsc_vec_imex attribute) (rhs_fenics_mesh attribute) components (comp2_cupy_mesh attribute) (comp2_mesh attribute) (fields attribute) (imex_cupy_mesh attribute) (IMEX_firedrake_mesh attribute) (imex_mesh attribute) (MultiComponentContainer attribute) (MultiComponentMeshMixin attribute) (petsc_vec_comp2 attribute) (petsc_vec_imex attribute) (rhs_fenics_mesh attribute)

compute_all_at_once_residual() (controller_ParaDiag_MPI method) (controller_ParaDiag_nonMPI method) compute_buoyancy_generation() (RayleighBenard method) compute_end_point() (boris_2nd_order method) (explicit method) (generic_implicit method) (generic_implicit_mass method) (generic_implicit_MPI method) (imex_1st_order method) (imex_1st_order_mass method) (imex_1st_order_MPI method) (multi_implicit method) (MultiStep method) (RungeKutta method) (RungeKuttaIMEX method) (RungeKuttaNystrom method) (Sweeper method) (SweeperMPI method) (verlet method) compute_max_step_size() (CFLLimit static method) compute_Nusselt_numbers() (RayleighBenard method) (RayleighBenard3D method) compute_optimal_step_size() (AdaptivityBase method) compute_residual() (delta_implicit_MPI method) (DeltaFormMixin method) (generic_implicit_mass method) (imex_1st_order_mass method) (MultiStep method) (QDiagonalization method) (Sweeper method) (SweeperMPI method) compute_residual_after_spread() (controller_MPI method) (controller_nonMPI method) (ParaDiag method) compute_residual_DAE() (in module pySDC.implementations.problem_classes.generic_spectral) compute_residual_DAE_MPI() (in module pySDC.implementations.problem_classes.generic_spectral) compute_viscous_dissipation() (RayleighBenard method) compute_vorticity() (Burgers2D method) (RayleighBenard method) computeDiagonalization() (QDiagonalization static method) connect_levels() (Step method) continue_periodic_array() (in module pySDC.helpers.transfer_helper) Controller (class in pySDC.core.controller) controller_MPI (class in pySDC.implementations.controller_classes.controller_MPI) controller_nonMPI (class in pySDC.implementations.controller_classes.controller_nonMPI) controller_ParaDiag_MPI (class in pySDC.implementations.controller_classes.controller_ParaDiag_MPI) controller_ParaDiag_nonMPI (class in pySDC.implementations.controller_classes.controller_ParaDiag_nonMPI) ControllerError convergence_control() (ConvergenceController method) ConvergenceController (class in pySDC.core.convergence_controller) ConvergenceError convert_operator_matrix_to_operator() (SpectralHelper method) copy() (cupy_mesh method) count_switches() (battery_n_capacitors method) (DiscontinuousTestODE method) counter (LogToFile attribute) (LogToPickleFile attribute) CPUTimings (class in pySDC.core.timings) CrankNicolson (class in pySDC.implementations.sweeper_classes.Runge_Kutta) CrashBase (class in pySDC.implementations.convergence_controller_classes.crash) cupy_mesh (class in pySDC.implementations.datatype_classes.cupy_mesh) CuPyMultiComponentMesh (class in pySDC.implementations.datatype_classes.cupy_mesh)

D

DataChecker (class in pySDC.helpers.testing) DataError debug() (ConvergenceController method) decrement() (WorkCounter method) default() (controller_MPI method) (controller_nonMPI method) default_phase_thresh (AllenCahnMonitor attribute) DefaultHooks (class in pySDC.core.default_hook) delta_acc (DeltaFormMixin attribute) delta_imex_1st_order (class in pySDC.implementations.sweeper_classes.delta_form) delta_implicit (class in pySDC.implementations.sweeper_classes.delta_form) delta_implicit_MPI (class in pySDC.implementations.sweeper_classes.delta_form_MPI) delta_transfer (class in pySDC.implementations.transfer_classes.BaseTransferDelta) delta_transfer_MPI (class in pySDC.implementations.transfer_classes.BaseTransferDeltaMPI) DeltaFormMixin (class in pySDC.implementations.sweeper_classes.delta_form) dependencies() (AdaptiveAlpha method) (Adaptivity method) (AdaptivityBase method) (AdaptivityCollocation method) (AdaptivityExtrapolationWithinQ method) (AdaptivityForConvergedCollocationProblems method) (AdaptivityPolynomialError method) (BasicRestarting method) (CFLLimit method) (CheckConvergence method) (CheckIterationEstimatorNonMPI method) (ConvergenceController method) (EstimateContractionFactor method) (EstimateEmbeddedError method) (EstimateEmbeddedErrorCollocation method) (HotRod method) (NewtonInexactness method) (StepSizeLimiter method) determine_restart() (AdaptivityBase method) (AdaptivityCollocation method) (AdaptivityForConvergedCollocationProblems method) (BasicRestarting method) (BasicRestartingMPI method) (BasicRestartingNonMPI method) (ConvergenceController method) (HotRod method) dg() (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) dg2() (ProtheroRobinsonAutonomous method) dgInv() (ProtheroRobinsonAutonomous method) dgInv_LIN() (ProtheroRobinsonAutonomous method) dgInv_NONLIN() (ProtheroRobinsonAutonomous method) dim (Rectilinear property) dirk (class in pySDC.implementations.problem_classes.acoustic_helpers.standard_integrators) (class in pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators) DIRK43 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) DIRK43_2 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) DiscontinuousTestODE (class in pySDC.implementations.problem_classes.DiscontinuousTestODE) distributable (FFTHelper attribute) (SpectralHelper1D attribute) dt (Level property) (Step property) dtype (SpectralHelper attribute) dtype_f (acoustic_1d_imex attribute) (advectiondiffusion1d_imex attribute) (advectiondiffusion1d_implicit attribute) (allencahn2d_imex attribute) (allencahn_front_fullyimplicit attribute) (allencahn_front_semiimplicit attribute) (allencahn_fullyimplicit attribute) (allencahn_multiimplicit attribute) (allencahn_multiimplicit_v2 attribute) (allencahn_periodic_fullyimplicit attribute) (allencahn_periodic_multiimplicit attribute) (allencahn_periodic_semiimplicit attribute) (allencahn_semiimplicit attribute) (allencahn_semiimplicit_v2 attribute) (allencahn_temp_imex attribute) (auzinger attribute) (battery attribute) (battery_implicit attribute) (battery_n_capacitors attribute) (boussinesq_2d_imex attribute) (buck_converter attribute) (Burgers1D attribute) (Burgers2D attribute) (ChemicalReaction3Var attribute) (DiscontinuousTestODE attribute) (fenics_grayscott attribute) (fenics_heat attribute) (fenics_vortex_2d attribute) (fermi_pasta_ulam_tsingou attribute) (full_solar_system attribute) (generalized_fisher attribute) (GenericGusto attribute) (GenericGustoImex attribute) (GenericNDimFinDiff attribute) (grayscott_mi_diffusion attribute) (grayscott_mi_linear attribute) (harmonic_oscillator attribute) (Heat1DChebychev attribute) (Heat1DForcedFiredrake attribute) (Heat1DUltraspherical attribute) (heat2d_petsc_forced attribute) (Heat2DChebychev attribute) (Heat2DUltraspherical attribute) (heatNd_forced attribute) (henon_heiles attribute) (IMEX_Laplacian_MPIFFT attribute) (JacobiElliptic attribute) (Kaps attribute) (logistics_equation attribute) (LorenzAttractor attribute) (nonlinear_ODE_1 attribute) (nonlinearschroedinger_fully_implicit attribute) (outer_solar_system attribute) (penningtrap attribute) (petsc_fisher_fullyimplicit attribute) (petsc_fisher_multiimplicit attribute) (petsc_fisher_semiimplicit attribute) (petsc_grayscott_fullyimplicit attribute) (petsc_grayscott_multiimplicit attribute) (petsc_grayscott_semiimplicit attribute) (piline attribute) (polynomial_testequation attribute) (polynomial_testequation_IMEX attribute) (Problem attribute) (ProtheroRobinson attribute) (ProtheroRobinsonAutonomous attribute) (Quench attribute) (QuenchIMEX attribute) (RayleighBenard attribute) (RayleighBenard3D attribute) (swfw_scalar attribute) (test_equation_IMEX attribute) (testequation0d attribute) (vanderpol attribute)

dtype_u (acoustic_1d_imex attribute) (advectiondiffusion1d_imex attribute) (advectiondiffusion1d_implicit attribute) (allencahn2d_imex attribute) (allencahn_front_fullyimplicit attribute) (allencahn_fullyimplicit attribute) (allencahn_periodic_fullyimplicit attribute) (allencahn_temp_imex attribute) (auzinger attribute) (battery_n_capacitors attribute) (boussinesq_2d_imex attribute) (buck_converter attribute) (Burgers1D attribute) (Burgers2D attribute) (ChemicalReaction3Var attribute) (DiscontinuousTestODE attribute) (fenics_grayscott attribute) (fenics_heat attribute) (fenics_vortex_2d attribute) (fermi_pasta_ulam_tsingou attribute) (full_solar_system attribute) (generalized_fisher attribute) (GenericGusto attribute) (GenericNDimFinDiff attribute) (harmonic_oscillator attribute) (Heat1DChebychev attribute) (Heat1DForcedFiredrake attribute) (Heat1DUltraspherical attribute) (heat2d_petsc_forced attribute) (Heat2DChebychev attribute) (Heat2DUltraspherical attribute) (henon_heiles attribute) (IMEX_Laplacian_MPIFFT attribute) (JacobiElliptic attribute) (Kaps attribute) (logistics_equation attribute) (LorenzAttractor attribute) (nonlinear_ODE_1 attribute) (nonlinearschroedinger_fully_implicit attribute) (outer_solar_system attribute) (penningtrap attribute) (petsc_fisher_multiimplicit attribute) (petsc_grayscott_multiimplicit attribute) (piline attribute) (polynomial_testequation attribute) (Problem attribute) (ProtheroRobinson attribute) (ProtheroRobinsonAutonomous attribute) (Quench attribute) (RayleighBenard attribute) (RayleighBenard3D attribute) (swfw_scalar attribute) (test_equation_IMEX attribute) (testequation0d attribute) (vanderpol attribute) dump_setup() (Controller method) dx (GenericNDimFinDiff property)

E

EDIRK4 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) elec (fields property) eliminate_zeros() (SpectralHelper method) Entry (class in pySDC.core.hooks) entry (Hooks attribute) eps_in (DeltaFormMixin attribute) ESDIRK43 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) ESDIRK53 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) estimate_embedded_error_serial() (EstimateEmbeddedError method) EstimateContractionFactor (class in pySDC.implementations.convergence_controller_classes.estimate_contraction_factor) EstimateEmbeddedError (class in pySDC.implementations.convergence_controller_classes.estimate_embedded_error) EstimateEmbeddedErrorCollocation (class in pySDC.implementations.convergence_controller_classes.estimate_embedded_error) EstimateEmbeddedErrorLinearizedMPI (class in pySDC.implementations.convergence_controller_classes.estimate_embedded_error) EstimateEmbeddedErrorLinearizedNonMPI (class in pySDC.implementations.convergence_controller_classes.estimate_embedded_error) EstimateExtrapolationErrorBase (class in pySDC.implementations.convergence_controller_classes.estimate_extrapolation_error) EstimateExtrapolationErrorNonMPI (class in pySDC.implementations.convergence_controller_classes.estimate_extrapolation_error) EstimateExtrapolationErrorWithinQ (class in pySDC.implementations.convergence_controller_classes.estimate_extrapolation_error) EstimatePolynomialError (class in pySDC.implementations.convergence_controller_classes.estimate_polynomial_error) EstimatePolynomialErrorFiredrake (class in pySDC.implementations.convergence_controller_classes.estimate_polynomial_error) eval_f() (acoustic_1d_imex method) (advectiondiffusion1d_imex method) (advectiondiffusion1d_implicit method) (allencahn2d_imex method) (allencahn2d_imex_stab method) (allencahn_front_finel method) (allencahn_front_fullyimplicit method) (allencahn_front_semiimplicit method) (allencahn_fullyimplicit method) (allencahn_imex method) (allencahn_imex_timeforcing method) (allencahn_multiimplicit method) (allencahn_multiimplicit_v2 method) (allencahn_periodic_fullyimplicit method) (allencahn_periodic_multiimplicit method) (allencahn_periodic_semiimplicit method) (allencahn_semiimplicit method) (allencahn_semiimplicit_v2 method) (allencahn_temp_imex method) (auzinger method) (battery method) (battery_implicit method) (battery_n_capacitors method) (boussinesq_2d_imex method) (Brusselator method) (buck_converter method) (Burgers1D method) (Burgers2D method) (ChemicalReaction3Var method) (DiscontinuousTestODE method) (ExactDiscontinuousTestODE method) (fenics_grayscott method) (fenics_grayscott_mass method) (fenics_heat method) (fenics_heat_mass method) (fenics_vortex_2d method) (fenics_vortex_2d_mass method) (fermi_pasta_ulam_tsingou method) (generalized_fisher method) (GenericGusto method) (GenericGustoImex method) (GenericNDimFinDiff method) (grayscott_imex_diffusion method) (grayscott_imex_linear method) (grayscott_mi_diffusion method) (grayscott_mi_linear method) (harmonic_oscillator method) (Heat1DChebychev method) (Heat1DForcedFiredrake method) (Heat1DUltraspherical method) (heat2d_petsc_forced method) (Heat2DChebychev method) (Heat2DUltraspherical method) (heatNd_forced method) (henon_heiles method) (IMEX_Laplacian_MPIFFT method) (JacobiElliptic method) (Kaps method) (logistics_equation method) (LorenzAttractor method) (nonlinear_ODE_1 method) (nonlinearschroedinger_fully_implicit method) (outer_solar_system method) (penningtrap method) (petsc_fisher_fullyimplicit method) (petsc_fisher_multiimplicit method) (petsc_fisher_semiimplicit method) (petsc_grayscott_fullyimplicit method) (petsc_grayscott_multiimplicit method) (petsc_grayscott_semiimplicit method) (piline method) (polynomial_testequation method) (polynomial_testequation_IMEX method) (Problem method) (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) (Quench method) (QuenchIMEX method) (RayleighBenard method) (RayleighBenard3D method) (swfw_scalar method) (test_equation_IMEX method) (testequation0d method) (vanderpol method)

eval_f_at_all_nodes() (QDiagonalization method) eval_f_increment() (fenics_heat method) (GenericNDimFinDiff method) (heatNd_forced method) eval_f_non_linear() (Quench method) eval_hamiltonian() (fermi_pasta_ulam_tsingou method) (harmonic_oscillator method) (henon_heiles method) (outer_solar_system method) eval_mode_energy() (fermi_pasta_ulam_tsingou method) evaluate() (CollBase static method) evaluate_labeled_term() (GenericGustoImex method) exact_radius() (AllenCahnMonitor method) exact_radius_squared() (AllenCahnMonitor method) exact_volume() (AllenCahnMonitor method) ExactDiscontinuousTestODE (class in pySDC.implementations.problem_classes.DiscontinuousTestODE) expand_matrix_ND() (SpectralHelper method) expl (imex_cupy_mesh property) (imex_mesh property) explicit (class in pySDC.implementations.sweeper_classes.explicit) ExplicitMidpointMethod (class in pySDC.implementations.sweeper_classes.Runge_Kutta)

F

f() (bdf2 method) (dirk method), [1] (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) (trapezoidal method) f_fast() (rk_imex method), [1] (SplitExplicit method) f_fast_solve() (rk_imex method), [1] f_fastMom() (SplitExplicit method) f_fastTher() (SplitExplicit method) f_init (Problem property) f_LIN() (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) f_NONLIN() (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) f_slow() (rk_imex method), [1] (SplitExplicit method) f_solve() (bdf2 method) (dirk method), [1] (trapezoidal method) fast_interactions() (penningtrap static method) fenics_grayscott (class in pySDC.implementations.problem_classes.GrayScott_1D_FEniCS_implicit) fenics_grayscott_mass (class in pySDC.implementations.problem_classes.GrayScott_1D_FEniCS_implicit) fenics_heat (class in pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced) fenics_heat_mass (class in pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced) fenics_heat_mass_timebc (class in pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced) fenics_mesh (class in pySDC.implementations.datatype_classes.fenics_mesh) fenics_vortex_2d (class in pySDC.implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic) fenics_vortex_2d_mass (class in pySDC.implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic) fermi_pasta_ulam_tsingou (class in pySDC.implementations.problem_classes.FermiPastaUlamTsingou) fft_backend (IMEX_Laplacian_MPIFFT attribute) (SpectralHelper attribute) fft_comm_backend (IMEX_Laplacian_MPIFFT attribute) (SpectralHelper attribute)

FFT_in_time() (ParaDiag method) fft_to_fft (class in pySDC.implementations.transfer_classes.TransferMesh_MPIFFT) FFTHelper (class in pySDC.helpers.spectral_helper) fields (class in pySDC.implementations.datatype_classes.particles) FieldsIO (class in pySDC.helpers.fieldsIO) figsize() (in module pySDC.helpers.plot_helper) figsize_by_journal() (in module pySDC.helpers.plot_helper) file_name (LogToPickleFile attribute) filename (LogToFile attribute) fileSize (FieldsIO property) filter_stats() (in module pySDC.helpers.stats_helper) firedrake_mesh (class in pySDC.implementations.datatype_classes.firedrake_mesh) FiredrakeEnsembleCommunicator (class in pySDC.helpers.firedrake_ensemble_communicator) firsttimestep() (bdf2 method), [1] Fisher_full (class in pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc) Fisher_reaction (class in pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc) fix_residual() (fenics_heat_mass method) format_index() (LogToPickleFile method) formatIndex() (FieldsIO method) formFunction() (Fisher_full method) (Fisher_reaction method) (GS_full method) (GS_reaction method) formJacobian() (Fisher_full method) (Fisher_reaction method) (GS_full method) (GS_reaction method) ForwardEuler (class in pySDC.implementations.sweeper_classes.Runge_Kutta) Free() (FiredrakeEnsembleCommunicator method) fromFile() (FieldsIO class method) FrozenClass (class in pySDC.helpers.pysdc_helper) fSize (FieldsIO property) full_solar_system (class in pySDC.implementations.problem_classes.FullSolarSystem)

G

G (outer_solar_system attribute) g() (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) generalized_fisher (class in pySDC.implementations.problem_classes.GeneralizedFisher_1D_FD_implicit) generate_description() (in module pySDC.helpers.setup_helper) generate_scipy_reference_solution() (Problem method) generate_starting_values() (AdamsMoultonImplicit2Step method) (MultiStep method) generator (ARK324L2SAERK attribute) (ARK324L2SAESDIRK attribute) (ARK548L2SAERK attribute) (ARK548L2SAESDIRK2 attribute) (BackwardEuler attribute) (Cash_Karp attribute) (CrankNicolson attribute) (DIRK43 attribute) (DIRK43_2 attribute) (EDIRK4 attribute) (ESDIRK43 attribute) (ESDIRK53 attribute) (ExplicitMidpointMethod attribute) (ForwardEuler attribute) (Heun_Euler attribute) (ImplicitMidpointMethod attribute) (RK4 attribute) generator_EXP (ARK2 attribute) (ARK3 attribute) (ARK548L2SAERK2 attribute) generator_IMP (ARK2 attribute) (ARK3 attribute) (ARK548L2SAESDIRK attribute) generic_implicit (class in pySDC.implementations.sweeper_classes.generic_implicit) generic_implicit_mass (class in pySDC.implementations.sweeper_classes.generic_implicit_mass) generic_implicit_MPI (class in pySDC.implementations.sweeper_classes.generic_implicit_MPI) GenericGusto (class in pySDC.implementations.problem_classes.GenericGusto) GenericGustoImex (class in pySDC.implementations.problem_classes.GenericGusto) GenericNDimFinDiff (class in pySDC.implementations.problem_classes.generic_ND_FD) GenericSpectralLinear (class in pySDC.implementations.problem_classes.generic_spectral) get() (FrozenClass method) get2DMatrix() (in module pySDC.implementations.problem_classes.boussinesq_helpers.build2DFDMatrix) get2DMesh() (in module pySDC.implementations.problem_classes.boussinesq_helpers.build2DFDMatrix) get2DUpwindMatrix() (in module pySDC.implementations.problem_classes.boussinesq_helpers.build2DFDMatrix) get_1d_grid() (in module pySDC.helpers.problem_helper) get_1dgrid() (ChebychevHelper method) (FFTHelper method) (SpectralHelper1D method) get_alpha() (ParaDiag method) get_basis_change_matrix() (ChebychevHelper method) (SpectralHelper method) (SpectralHelper1D method) (UltrasphericalHelper method) get_BC() (ChebychevHelper method) (FFTHelper method) (SpectralHelper method) (SpectralHelper1D method) get_Butcher_tableau() (RungeKutta class method) get_Butcher_tableau_bar() (RungeKuttaNystrom class method) get_Butcher_tableau_explicit() (RungeKuttaIMEX class method) get_conv() (ChebychevHelper method) get_convergence() (AdaptivityCollocation method) (AdaptivityExtrapolationWithinQ method) (AdaptivityForConvergedCollocationProblems method) (AdaptivityPolynomialError method) get_convergence_controllers_as_table() (Controller method) get_count() (NCCLComm static method) get_default_sweeper_class() (GenericNDimFinDiff class method) (Problem class method) get_diagnostics() (AllenCahnMonitor method) get_differentiation_matrix() (ChebychevHelper method) (FFTHelper method) (SpectralHelper method) (SpectralHelper1D method) (UltrasphericalHelper method) get_Dirichlet_BC_row() (ChebychevHelper method) get_Dirichlet_recombination_matrix() (ChebychevHelper method) (SpectralHelper method) get_dtype() (NCCLComm static method) get_E_matrix() (in module pySDC.helpers.ParaDiagHelper) get_empty_operator_matrix() (SpectralHelper method) (SpectralHelper1D method) get_ensemble() (in module pySDC.helpers.firedrake_ensemble_communicator) get_extrapolated_error() (EstimateExtrapolationErrorNonMPI method) get_extrapolated_solution() (EstimateExtrapolationErrorNonMPI method) get_extrapolation_coefficients() (EstimateExtrapolationErrorBase method) get_fft() (SpectralHelper method) get_FFT_matrices() (ParaDiag method) get_FFT_matrix() (in module pySDC.helpers.ParaDiagHelper) get_fig() (Brusselator method) (Burgers1D method) (Burgers2D method) (grayscott_imex_diffusion method) (Problem method) (RayleighBenard method) get_filter_matrix() (SpectralHelper method) (SpectralHelper1D method) get_finite_difference_matrix() (in module pySDC.helpers.problem_helper) get_finite_difference_stencil() (in module pySDC.helpers.problem_helper) get_frequency_spectrum() (RayleighBenard3D method) get_full_f() (RungeKutta method) (RungeKuttaNystrom method) get_G_inv_matrix() (in module pySDC.helpers.ParaDiagHelper) get_gamma() (AdaptiveAlpha method) get_grid() (SpectralHelper method) get_H_matrix() (in module pySDC.helpers.ParaDiagHelper) get_Id() (SpectralHelper method) (SpectralHelper1D method) get_implementation() (BasicRestarting class method) (EstimateEmbeddedError class method) (SpreadStepSizesBlockwise class method) get_indices() (SpectralHelper method) get_integ_BC_row() (ChebychevHelper method) (FFTHelper method) get_integration_constant() (UltrasphericalHelper method) get_integration_matrix() (ChebychevHelper method) (FFTHelper method) (SpectralHelper method) (SpectralHelper1D method) (UltrasphericalHelper method)

get_integration_weights() (ChebychevHelper method) (FFTHelper method) (SpectralHelper1D method) get_interactions() (penningtrap method) get_interface_width() (AllenCahnMonitor method) get_interpolated_solution() (EstimatePolynomialError method) (EstimatePolynomialErrorFiredrake method) get_J_inv_matrix() (in module pySDC.helpers.ParaDiagHelper) get_J_matrix() (in module pySDC.helpers.ParaDiagHelper) get_list_of_types() (in module pySDC.helpers.stats_helper) get_local_error_estimate() (Adaptivity method) (AdaptivityBase method) (AdaptivityCollocation method) (AdaptivityExtrapolationWithinQ method) (AdaptivityPolynomialError method) (AdaptivityResidual method) get_local_slice_of_1D_matrix() (SpectralHelper method) get_Neumann_BC_row() (ChebychevHelper method) get_new_step_size() (Adaptivity method) (AdaptivityBase method) (AdaptivityCollocation method) (AdaptivityExtrapolationWithinQ method) (AdaptivityPolynomialError method) (AdaptivityResidual method) (AdaptivityRK method) (CFLLimit method) (ConvergenceController method) (StepSizeLimiter method) (StepSizeRounding method) (StepSizeSlopeLimiter method) get_non_linear_Jacobian() (Quench method) get_norm() (ChebychevHelper method) get_Nyquist_mode_index() (FFTHelper method) get_op() (NCCLComm method) get_path() (LogToPickleFile class method) get_pfft() (SpectralHelper method) get_plan() (FFTHelper method) get_problem_dict() (battery_n_capacitors method) get_Q_matrix() (RungeKutta class method) get_Qdelta_explicit() (Sweeper method) get_Qdelta_implicit() (Sweeper method) get_real_space() (AllenCahnMonitor static method) get_residual() (QDiagonalization method) get_S() (UltrasphericalHelper method) get_scalar_problems_manysweep_mat() (imex_1st_order method) get_scalar_problems_manysweep_mats() (boris_2nd_order method) get_scalar_problems_picardsweep_mats() (boris_2nd_order method) get_scalar_problems_sweeper_mats() (boris_2nd_order method) (imex_1st_order method) get_sorted() (in module pySDC.helpers.stats_helper) get_stages() (controller_MPI method) (controller_nonMPI method) (ParaDiag method) get_step_from_which_to_spread() (SpreadStepSizesBlockwise method) (SpreadStepSizesBlockwiseMPI method) (SpreadStepSizesBlockwiseNonMPI method) get_steps() (in module pySDC.helpers.problem_helper) get_sweeper_mats() (boris_2nd_order method) (imex_1st_order method) get_switching_info() (battery_n_capacitors method) (DiscontinuousTestODE method) get_sys_mat() (petsc_fisher_multiimplicit method) get_transfer_matrix_Q() (BaseTransfer static method) get_update_order() (ARK32 class method) (ARK324L2SAERK class method) (ARK54 class method) (ARK548L2SA class method) (ARK548L2SAERK class method) (ARK548L2SAESDIRK2 class method) (Cash_Karp class method) (DIRK43 class method) (ESDIRK43 class method) (ESDIRK53 class method) (Heun_Euler class method) (RungeKutta class method) get_vertical_profiles() (RayleighBenard3D method) get_volume() (AllenCahnMonitor method) get_wavenumbers() (ChebychevHelper method) (FFTHelper method) (SpectralHelper method) (SpectralHelper1D method) get_weighted_FFT_matrix() (in module pySDC.helpers.ParaDiagHelper) get_weighted_iFFT_matrix() (in module pySDC.helpers.ParaDiagHelper) get_zero() (SpectralHelper1D method) getBoussinesq2DMatrix() (in module pySDC.implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix) getBoussinesq2DUpwindMatrix() (in module pySDC.implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix) getcounter() (Callback method) getFDMatrix() (in module pySDC.implementations.problem_classes.acoustic_helpers.buildWave1DMatrix) getLaplacian() (IMEX_Laplacian_MPIFFT method) getLocalGrid() (IMEX_Laplacian_MPIFFT method) getMatrix() (in module pySDC.implementations.problem_classes.boussinesq_helpers.buildFDMatrix) getOutputFile() (GenericSpectralLinear method) (Problem method) (RayleighBenard method) (testequation0d method) getresidual() (Callback method) getUpwindMatrix() (in module pySDC.implementations.problem_classes.boussinesq_helpers.buildFDMatrix) getWave1DAdvectionMatrix() (in module pySDC.implementations.problem_classes.acoustic_helpers.buildWave1DMatrix) getWave1DMatrix() (in module pySDC.implementations.problem_classes.acoustic_helpers.buildWave1DMatrix) global_slice() (SpectralHelper method) globally_stiffly_accurate (ButcherTableau property) (ButcherTableauEmbedded property) GPUTimings (class in pySDC.implementations.hooks.log_GPU_timings) grayscott_imex_diffusion (class in pySDC.implementations.problem_classes.GrayScott_MPIFFT) grayscott_imex_linear (class in pySDC.implementations.problem_classes.GrayScott_MPIFFT) grayscott_mi_diffusion (class in pySDC.implementations.problem_classes.GrayScott_MPIFFT) grayscott_mi_linear (class in pySDC.implementations.problem_classes.GrayScott_MPIFFT) grids (GenericNDimFinDiff property) gridSizes (Rectilinear property) GS_full (class in pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic) GS_reaction (class in pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic)

H

harmonic_oscillator (class in pySDC.implementations.problem_classes.HarmonicOscillator) hBase (FieldsIO property) Heat1DChebychev (class in pySDC.implementations.problem_classes.HeatEquation_Chebychev) Heat1DForcedFiredrake (class in pySDC.implementations.problem_classes.HeatFiredrake) Heat1DUltraspherical (class in pySDC.implementations.problem_classes.HeatEquation_Chebychev) heat2d_petsc_forced (class in pySDC.implementations.problem_classes.HeatEquation_2D_PETSc_forced) Heat2DChebychev (class in pySDC.implementations.problem_classes.HeatEquation_Chebychev) Heat2DUltraspherical (class in pySDC.implementations.problem_classes.HeatEquation_Chebychev) heatNd_forced (class in pySDC.implementations.problem_classes.HeatEquation_ND_FD) heatNd_unforced (class in pySDC.implementations.problem_classes.HeatEquation_ND_FD)

henon_heiles (class in pySDC.implementations.problem_classes.HenonHeiles) heterogeneous_setup() (GenericSpectralLinear method) Heun_Euler (class in pySDC.implementations.sweeper_classes.Runge_Kutta) hInfos (FieldsIO property) (Rectilinear property) (Scalar property) Hooks (class in pySDC.core.hooks) hooks (Controller property) HotRod (class in pySDC.implementations.convergence_controller_classes.hotrod) hSize (FieldsIO property)

I

iFFT_in_time() (ParaDiag method) imex_1st_order (class in pySDC.implementations.sweeper_classes.imex_1st_order) imex_1st_order_mass (class in pySDC.implementations.sweeper_classes.imex_1st_order_mass) imex_1st_order_MPI (class in pySDC.implementations.sweeper_classes.imex_1st_order_MPI) imex_cupy_mesh (class in pySDC.implementations.datatype_classes.cupy_mesh) IMEX_firedrake_mesh (class in pySDC.implementations.datatype_classes.firedrake_mesh) IMEX_Laplacian_MPIFFT (class in pySDC.implementations.problem_classes.generic_MPIFFT_Laplacian) imex_mesh (class in pySDC.implementations.datatype_classes.mesh) IMEXEuler (class in pySDC.implementations.sweeper_classes.Runge_Kutta) IMEXEulerStifflyAccurate (class in pySDC.implementations.sweeper_classes.Runge_Kutta) impl (imex_cupy_mesh property) (imex_mesh property) ImplicitMidpointMethod (class in pySDC.implementations.sweeper_classes.Runge_Kutta) increment_stats() (Hooks method) index() (SpectralHelper method) infer_alignment() (SpectralHelper method) init_step() (Step method) initGrid() (in module pySDC.helpers.fieldsIO) initialize() (FieldsIO method) (Rectilinear method) integrate() (boris_2nd_order method) (explicit method) (generic_implicit method) (generic_implicit_MPI method) (imex_1st_order method) (imex_1st_order_MPI method) (multi_implicit method) (QDiagonalizationIMEX method) (RungeKutta method) (RungeKuttaIMEX method) (Sweeper method) (verlet method)

InterpolateBetweenRestarts (class in pySDC.implementations.convergence_controller_classes.interpolate_between_restarts) interpolation_matrix_1d() (in module pySDC.helpers.transfer_helper) irecv() (cupy_mesh method) (firedrake_mesh method) Irecv() (FiredrakeEnsembleCommunicator method) irecv() (mesh method) (petsc_vec method) is_embedded() (RungeKutta class method) isend() (cupy_mesh method) (firedrake_mesh method) Isend() (FiredrakeEnsembleCommunicator method) isend() (mesh method) (particles method) (petsc_vec method) it_check() (controller_MPI method) (controller_nonMPI method) it_coarse() (controller_MPI method) (controller_nonMPI method) it_down() (controller_MPI method) (controller_nonMPI method) it_fine() (controller_MPI method) (controller_nonMPI method) it_ParaDiag() (controller_ParaDiag_MPI method) (controller_ParaDiag_nonMPI method) it_up() (controller_MPI method) (controller_nonMPI method) itemSize (FieldsIO property) iter (Entry attribute) itransform() (ChebychevHelper method) (FFTHelper method) (SpectralHelper method)

J

jac() (ProtheroRobinson method) jac_LIN() (ProtheroRobinson method)

jac_NONLIN() (ProtheroRobinson method) JacobiElliptic (class in pySDC.implementations.problem_classes.odeSystem)

K

Kaps (class in pySDC.implementations.problem_classes.odeSystem)

L

l2_pieces (mesh_to_mesh_fenics property) Level (class in pySDC.core.level) level (Entry attribute) (MultiStep property) (pySDC_integrator property) (RungeKutta property) (Sweeper property) live_plot (PlottingHook attribute) load() (LogToFile class method) (LogToPickleFile class method) local_slice() (SpectralHelper method) localBounds (BlockDecomposition property) log() (ConvergenceController method) log_error() (LogEmbeddedErrorEstimate method) log_global_error() (LogError method) log_local_error() (LogError method) log_to_file() (LogToPickleFile method) LogAnalysisVariables (class in pySDC.implementations.problem_classes.RayleighBenard) LogCFL (class in pySDC.implementations.problem_classes.RayleighBenard) LogEmbeddedErrorEstimate (class in pySDC.implementations.hooks.log_embedded_error_estimate) LogEmbeddedErrorEstimatePostIter (class in pySDC.implementations.hooks.log_embedded_error_estimate) LogError (class in pySDC.implementations.hooks.log_errors)

LogExtrapolationErrorEstimate (class in pySDC.implementations.hooks.log_extrapolated_error_estimate) logger (Hooks attribute) (Problem attribute) logging (class in pySDC.implementations.problem_classes.boussinesq_helpers.helper_classes) logging_condition() (LogToPickleFile method) LogGlobalErrorPostIter (class in pySDC.implementations.hooks.log_errors) LogGlobalErrorPostRun (class in pySDC.implementations.hooks.log_errors) LogGlobalErrorPostStep (class in pySDC.implementations.hooks.log_errors) logistics_equation (class in pySDC.implementations.problem_classes.LogisticEquation) LogLocalErrorPostIter (class in pySDC.implementations.hooks.log_errors) LogLocalErrorPostStep (class in pySDC.implementations.hooks.log_errors) LogResidualPostSweep (class in pySDC.implementations.hooks.log_residual) LogRestarts (class in pySDC.implementations.hooks.log_restarts) LogSDCIterations (class in pySDC.implementations.hooks.log_work) LogSolution (class in pySDC.implementations.hooks.log_solution) LogSolutionAfterIteration (class in pySDC.implementations.hooks.log_solution) LogStepSize (class in pySDC.implementations.hooks.log_step_size) LogTime (class in pySDC.helpers.pySDC_as_gusto_time_discretization) LogToFile (class in pySDC.implementations.hooks.log_solution) LogToPickleFile (class in pySDC.implementations.hooks.log_solution) LogToPickleFileAfterXS (class in pySDC.implementations.hooks.log_solution) LogWork (class in pySDC.implementations.hooks.log_work) LorenzAttractor (class in pySDC.implementations.problem_classes.Lorenz)

M

magn (fields property) mat_vec() (QDiagonalization method) matmul() (AdaptiveCollocation method) (EstimatePolynomialError method) (EstimatePolynomialErrorFiredrake method) matrix (ARK2 attribute) (ARK3 attribute) (ARK32 attribute) (ARK324L2SAERK attribute) (ARK324L2SAESDIRK attribute) (ARK54 attribute) (ARK548L2SA attribute) (ARK548L2SAERK attribute) (ARK548L2SAERK2 attribute) (ARK548L2SAESDIRK attribute) (ARK548L2SAESDIRK2 attribute) (BackwardEuler attribute) (Cash_Karp attribute) (CrankNicolson attribute) (DIRK43 attribute) (DIRK43_2 attribute) (EDIRK4 attribute) (ESDIRK43 attribute) (ESDIRK53 attribute) (ExplicitMidpointMethod attribute) (ForwardEuler attribute) (Heun_Euler attribute) (IMEXEuler attribute) (IMEXEulerStifflyAccurate attribute) (ImplicitMidpointMethod attribute) (RK4 attribute) (RKN attribute) (RungeKutta attribute) (Velocity_Verlet attribute) matrix_bar (RKN attribute) (RungeKuttaNystrom attribute) (Velocity_Verlet attribute) matrix_explicit (ARK2 attribute) (ARK3 attribute) (ARK32 attribute) (ARK54 attribute) (ARK548L2SA attribute) (IMEXEuler attribute) (IMEXEulerStifflyAccurate attribute) (RungeKuttaIMEX attribute) max_cached_factorizations (GenericNDimFinDiff attribute) measures_interface_width() (AllenCahnMonitor method) mesh (class in pySDC.implementations.datatype_classes.mesh) mesh_to_mesh (class in pySDC.implementations.transfer_classes.TransferMesh) (class in pySDC.implementations.transfer_classes.TransferMesh_NoCoarse) mesh_to_mesh_fenics (class in pySDC.implementations.transfer_classes.TransferFenicsMesh) mesh_to_mesh_fft (class in pySDC.implementations.transfer_classes.TransferMesh_FFT) mesh_to_mesh_fft2d (class in pySDC.implementations.transfer_classes.TransferMesh_FFT2D) mesh_to_mesh_petsc_dmda (class in pySDC.implementations.transfer_classes.TransferPETScDMDA) MeshToMeshFiredrake (class in pySDC.implementations.transfer_classes.TransferFiredrakeMesh) MeshToMeshFiredrakeHierarchy (class in pySDC.implementations.transfer_classes.TransferFiredrakeMesh) meta_data (Hooks attribute) module pySDC.core pySDC.core.base_transfer pySDC.core.check_convergence pySDC.core.collocation pySDC.core.common pySDC.core.controller pySDC.core.convergence_controller pySDC.core.default_hook pySDC.core.errors pySDC.core.hooks pySDC.core.level pySDC.core.problem pySDC.core.space_transfer pySDC.core.step pySDC.core.sweeper pySDC.core.timings pySDC.helpers pySDC.helpers.blocks pySDC.helpers.fft_helper pySDC.helpers.fieldsIO pySDC.helpers.firedrake_ensemble_communicator pySDC.helpers.NCCL_communicator pySDC.helpers.ParaDiagHelper pySDC.helpers.plot_helper pySDC.helpers.problem_helper pySDC.helpers.pySDC_as_gusto_time_discretization pySDC.helpers.pysdc_helper pySDC.helpers.setup_helper pySDC.helpers.spectral_helper pySDC.helpers.stats_helper pySDC.helpers.testing pySDC.helpers.transfer_helper pySDC.helpers.visualization_tools pySDC.helpers.vtkIO pySDC.implementations pySDC.implementations.controller_classes pySDC.implementations.controller_classes.controller_MPI pySDC.implementations.controller_classes.controller_nonMPI pySDC.implementations.controller_classes.controller_ParaDiag_MPI pySDC.implementations.controller_classes.controller_ParaDiag_nonMPI pySDC.implementations.controller_classes.ParaDiag pySDC.implementations.convergence_controller_classes pySDC.implementations.convergence_controller_classes.adaptive_alpha pySDC.implementations.convergence_controller_classes.adaptive_collocation pySDC.implementations.convergence_controller_classes.adaptivity pySDC.implementations.convergence_controller_classes.basic_restarting pySDC.implementations.convergence_controller_classes.check_iteration_estimator pySDC.implementations.convergence_controller_classes.crash pySDC.implementations.convergence_controller_classes.estimate_contraction_factor pySDC.implementations.convergence_controller_classes.estimate_embedded_error pySDC.implementations.convergence_controller_classes.estimate_extrapolation_error pySDC.implementations.convergence_controller_classes.estimate_polynomial_error pySDC.implementations.convergence_controller_classes.hotrod pySDC.implementations.convergence_controller_classes.inexactness pySDC.implementations.convergence_controller_classes.interpolate_between_restarts pySDC.implementations.convergence_controller_classes.spread_step_sizes pySDC.implementations.convergence_controller_classes.step_size_limiter pySDC.implementations.convergence_controller_classes.store_uold pySDC.implementations.datatype_classes pySDC.implementations.datatype_classes.container pySDC.implementations.datatype_classes.cupy_mesh pySDC.implementations.datatype_classes.fenics_mesh pySDC.implementations.datatype_classes.firedrake_mesh pySDC.implementations.datatype_classes.mesh pySDC.implementations.datatype_classes.particles pySDC.implementations.datatype_classes.petsc_vec pySDC.implementations.hooks pySDC.implementations.hooks.AllenCahn_monitor pySDC.implementations.hooks.log_embedded_error_estimate pySDC.implementations.hooks.log_errors pySDC.implementations.hooks.log_extrapolated_error_estimate pySDC.implementations.hooks.log_GPU_timings pySDC.implementations.hooks.log_residual pySDC.implementations.hooks.log_restarts pySDC.implementations.hooks.log_solution pySDC.implementations.hooks.log_step_size pySDC.implementations.hooks.log_work pySDC.implementations.hooks.plotting pySDC.implementations.problem_classes pySDC.implementations.problem_classes.acoustic_helpers pySDC.implementations.problem_classes.acoustic_helpers.buildWave1DMatrix pySDC.implementations.problem_classes.acoustic_helpers.standard_integrators pySDC.implementations.problem_classes.AcousticAdvection_1D_FD_imex pySDC.implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT pySDC.implementations.problem_classes.AdvectionEquation_ND_FD pySDC.implementations.problem_classes.AllenCahn_1D_FD pySDC.implementations.problem_classes.AllenCahn_2D_FD pySDC.implementations.problem_classes.AllenCahn_2D_FFT pySDC.implementations.problem_classes.AllenCahn_MPIFFT pySDC.implementations.problem_classes.AllenCahn_Temp_MPIFFT pySDC.implementations.problem_classes.Auzinger_implicit pySDC.implementations.problem_classes.Battery pySDC.implementations.problem_classes.Boussinesq_2D_FD_imex pySDC.implementations.problem_classes.boussinesq_helpers pySDC.implementations.problem_classes.boussinesq_helpers.build2DFDMatrix pySDC.implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix pySDC.implementations.problem_classes.boussinesq_helpers.buildFDMatrix pySDC.implementations.problem_classes.boussinesq_helpers.helper_classes pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators pySDC.implementations.problem_classes.boussinesq_helpers.unflatten pySDC.implementations.problem_classes.Brusselator pySDC.implementations.problem_classes.BuckConverter pySDC.implementations.problem_classes.Burgers pySDC.implementations.problem_classes.DiscontinuousTestODE pySDC.implementations.problem_classes.FastWaveSlowWave_0D pySDC.implementations.problem_classes.FermiPastaUlamTsingou pySDC.implementations.problem_classes.FullSolarSystem pySDC.implementations.problem_classes.GeneralizedFisher_1D_FD_implicit pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc pySDC.implementations.problem_classes.generic_MPIFFT_Laplacian pySDC.implementations.problem_classes.generic_ND_FD pySDC.implementations.problem_classes.generic_spectral pySDC.implementations.problem_classes.GenericGusto pySDC.implementations.problem_classes.GrayScott_1D_FEniCS_implicit pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic pySDC.implementations.problem_classes.GrayScott_MPIFFT pySDC.implementations.problem_classes.HarmonicOscillator pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced pySDC.implementations.problem_classes.HeatEquation_2D_PETSc_forced pySDC.implementations.problem_classes.HeatEquation_Chebychev pySDC.implementations.problem_classes.HeatEquation_ND_FD pySDC.implementations.problem_classes.HeatFiredrake pySDC.implementations.problem_classes.HenonHeiles pySDC.implementations.problem_classes.LogisticEquation pySDC.implementations.problem_classes.Lorenz pySDC.implementations.problem_classes.nonlinear_ODE_1 pySDC.implementations.problem_classes.NonlinearSchroedinger_MPIFFT pySDC.implementations.problem_classes.odeScalar pySDC.implementations.problem_classes.odeSystem pySDC.implementations.problem_classes.OuterSolarSystem pySDC.implementations.problem_classes.PenningTrap_3D pySDC.implementations.problem_classes.Piline pySDC.implementations.problem_classes.polynomial_test_problem pySDC.implementations.problem_classes.Quench pySDC.implementations.problem_classes.RayleighBenard pySDC.implementations.problem_classes.RayleighBenard3D pySDC.implementations.problem_classes.TestEquation_0D pySDC.implementations.problem_classes.Van_der_Pol_implicit pySDC.implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic pySDC.implementations.sweeper_classes pySDC.implementations.sweeper_classes.boris_2nd_order pySDC.implementations.sweeper_classes.delta_form pySDC.implementations.sweeper_classes.delta_form_MPI pySDC.implementations.sweeper_classes.explicit pySDC.implementations.sweeper_classes.generic_implicit pySDC.implementations.sweeper_classes.generic_implicit_mass pySDC.implementations.sweeper_classes.generic_implicit_MPI pySDC.implementations.sweeper_classes.imex_1st_order pySDC.implementations.sweeper_classes.imex_1st_order_mass pySDC.implementations.sweeper_classes.imex_1st_order_MPI pySDC.implementations.sweeper_classes.multi_implicit pySDC.implementations.sweeper_classes.Multistep pySDC.implementations.sweeper_classes.ParaDiagSweepers pySDC.implementations.sweeper_classes.Runge_Kutta pySDC.implementations.sweeper_classes.Runge_Kutta_Nystrom pySDC.implementations.sweeper_classes.verlet pySDC.implementations.transfer_classes pySDC.implementations.transfer_classes.BaseTransfer_mass pySDC.implementations.transfer_classes.BaseTransferDelta pySDC.implementations.transfer_classes.BaseTransferDeltaMPI pySDC.implementations.transfer_classes.BaseTransferMPI pySDC.implementations.transfer_classes.TransferFenicsMesh pySDC.implementations.transfer_classes.TransferFiredrakeMesh pySDC.implementations.transfer_classes.TransferMesh pySDC.implementations.transfer_classes.TransferMesh_FFT pySDC.implementations.transfer_classes.TransferMesh_FFT2D pySDC.implementations.transfer_classes.TransferMesh_MPIFFT pySDC.implementations.transfer_classes.TransferMesh_NoCoarse pySDC.implementations.transfer_classes.TransferParticles_NoCoarse pySDC.implementations.transfer_classes.TransferPETScDMDA

MPI_FILE_CLOSE() (Rectilinear method) MPI_FILE_OPEN() (Rectilinear method) MPI_ON (Rectilinear property) MPI_READ_AT_ALL() (Rectilinear method) MPI_ROOT (Rectilinear property) MPI_SETUP_FILETYPE() (Rectilinear method) MPI_WRITE() (Rectilinear method) MPI_WRITE_AT_ALL() (Rectilinear method) multi_implicit (class in pySDC.implementations.sweeper_classes.multi_implicit) MultiComponentContainer (class in pySDC.implementations.datatype_classes.container) MultiComponentMesh (class in pySDC.implementations.datatype_classes.mesh) MultiComponentMeshMixin (class in pySDC.implementations.datatype_classes.mesh) MultiStep (class in pySDC.implementations.sweeper_classes.Multistep)

N

name (LogSDCIterations attribute) NCCLComm (class in pySDC.helpers.NCCL_communicator) ncomponents (SpectralHelper property) ndim (GenericNDimFinDiff property) (SpectralHelper property) nDoF (Rectilinear property) newDistArray() (SpectralHelper method) newfig() (in module pySDC.helpers.plot_helper) NewtonInexactness (class in pySDC.implementations.convergence_controller_classes.inexactness) next (Step property) next_iteration_stage() (controller_MPI method) (controller_nonMPI method) (ParaDiag method) next_neighbors() (in module pySDC.helpers.transfer_helper) next_neighbors_periodic() (in module pySDC.helpers.transfer_helper) nFields (FieldsIO property) niter (WorkCounter attribute) nodes (ARK2 attribute) (ARK3 attribute) (ARK32 attribute) (ARK324L2SAERK attribute) (ARK54 attribute) (ARK548L2SA attribute) (ARK548L2SAERK attribute) (ARK548L2SAESDIRK2 attribute) (BackwardEuler attribute) (Cash_Karp attribute) (CrankNicolson attribute) (DIRK43 attribute) (DIRK43_2 attribute) (EDIRK4 attribute) (ESDIRK43 attribute) (ESDIRK53 attribute) (ExplicitMidpointMethod attribute) (ForwardEuler attribute) (Heun_Euler attribute) (IMEXEuler attribute) (IMEXEulerStifflyAccurate attribute) (ImplicitMidpointMethod attribute) (RK4 attribute) (RKN attribute) (RungeKutta attribute) (Velocity_Verlet attribute)

nonlinear_ODE_1 (class in pySDC.implementations.problem_classes.nonlinear_ODE_1) nonlinearschroedinger_fully_implicit (class in pySDC.implementations.problem_classes.NonlinearSchroedinger_MPIFFT) nonlinearschroedinger_imex (class in pySDC.implementations.problem_classes.NonlinearSchroedinger_MPIFFT) num_restarts (Entry attribute) NumSmallTimeSteps() (SplitExplicit method) nVar (Scalar property)

O

outer_solar_system (class in pySDC.implementations.problem_classes.OuterSolarSystem)

P

ParaDiag (class in pySDC.implementations.controller_classes.ParaDiag) ParameterError params (RegisterParams property) Pars (class in pySDC.core.convergence_controller) particles (class in pySDC.implementations.datatype_classes.particles) particles.position (class in pySDC.implementations.datatype_classes.particles) particles.velocity (class in pySDC.implementations.datatype_classes.particles) particles_to_particles (class in pySDC.implementations.transfer_classes.TransferParticles_NoCoarse) path (LogToPickleFile attribute) penningtrap (class in pySDC.implementations.problem_classes.PenningTrap_3D) petsc_fisher_fullyimplicit (class in pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc) petsc_fisher_multiimplicit (class in pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc) petsc_fisher_semiimplicit (class in pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc) petsc_grayscott_fullyimplicit (class in pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic) petsc_grayscott_multiimplicit (class in pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic) petsc_grayscott_semiimplicit (class in pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic) petsc_vec (class in pySDC.implementations.datatype_classes.petsc_vec) petsc_vec_comp2 (class in pySDC.implementations.datatype_classes.petsc_vec) petsc_vec_imex (class in pySDC.implementations.datatype_classes.petsc_vec) pfasst() (controller_MPI method) (controller_nonMPI method) PFFT (class in pySDC.helpers.fft_helper) piline (class in pySDC.implementations.problem_classes.Piline) plot() (Brusselator method) (Burgers1D method) (Burgers2D method) (grayscott_imex_diffusion method) (PlottingHook method) (Problem method) (RayleighBenard method) plot_every (PlotPostStep attribute) PlotPostStep (class in pySDC.implementations.hooks.plotting) PlottingHook (class in pySDC.implementations.hooks.plotting) Pmat (mesh_to_mesh_fenics property) polynomial_testequation (class in pySDC.implementations.problem_classes.polynomial_test_problem) polynomial_testequation_IMEX (class in pySDC.implementations.problem_classes.polynomial_test_problem) post_comm() (Hooks method) (Timings method) post_iteration() (DefaultHooks method) (Hooks method) (LogEmbeddedErrorEstimatePostIter method) (LogGlobalErrorPostIter method) (LogLocalErrorPostIter method) (LogSolutionAfterIteration method) (Timings method) post_iteration_processing() (AdaptiveCollocation method) (AdaptivityCollocation method) (ConvergenceController method) (EstimateContractionFactor method) (EstimateEmbeddedError method) (EstimateEmbeddedErrorCollocation method) (EstimateEmbeddedErrorLinearizedMPI method) (EstimateEmbeddedErrorLinearizedNonMPI method) (EstimateExtrapolationErrorNonMPI method) (EstimateExtrapolationErrorWithinQ method) (EstimatePolynomialError method) (HotRod method) (InterpolateBetweenRestarts method) (NewtonInexactness method) (StoreUOld method) post_iteration_processing_block() (AdaptiveAlpha method) (ConvergenceController method) post_predict() (Hooks method) (Timings method) post_run() (Hooks method) (LogGlobalErrorPostRun method) (LogToFile method) (Timings method) post_run_processing() (ConvergenceController method) post_setup() (Hooks method) (Timings method) post_spread_processing() (AdaptiveCollocation method) (ConvergenceController method) (InterpolateBetweenRestarts method) (StoreUOld method) post_step() (AllenCahnMonitor method) (DefaultHooks method) (Hooks method) (LogAnalysisVariables method) (LogCFL method) (LogEmbeddedErrorEstimate method) (LogEmbeddedErrorEstimatePostIter method) (LogExtrapolationErrorEstimate method) (LogGlobalErrorPostRun method) (LogGlobalErrorPostStep method) (LogLocalErrorPostStep method) (LogRestarts method) (LogSDCIterations method) (LogSolution method) (LogStepSize method) (LogTime method) (LogToFile method) (LogToPickleFile method) (LogToPickleFileAfterXS method) (LogWork method) (PlotPostStep method) (Timings method) post_step_processing() (ConvergenceController method) post_sweep() (Hooks method) (LogResidualPostSweep method) (Timings method) pre_comm() (Hooks method) (Timings method) pre_iteration() (Hooks method) (Timings method) pre_iteration_processing() (ConvergenceController method) (EstimateContractionFactor method) pre_predict() (Hooks method) (Timings method) pre_run() (AllenCahnMonitor method) (Hooks method) (LogToFile method) (LogToPickleFile method) (LogToPickleFileAfterXS method) (PlotPostStep method) (PlottingHook method) (Timings method) pre_setup() (Hooks method) (Timings method) pre_step() (Hooks method) (LogWork method) (Timings method) pre_sweep() (Hooks method) (Timings method) predict() (controller_MPI method) (controller_nonMPI method) (MultiStep method) (RungeKutta method) (RungeKuttaIMEX method) (Sweeper method) (SweeperMPI method) prefix (GPUTimings attribute) (Timings attribute) prepare_convergence_check() (controller_MPI method) (controller_nonMPI method) (ParaDiag method) prepare_Jacobians() (controller_ParaDiag_MPI method) (controller_ParaDiag_nonMPI method) prepare_MPI_datatypes() (ConvergenceController method) prepare_MPI_logical_operations() (ConvergenceController method) prepare_next_block() (BasicRestartingMPI method) (BasicRestartingNonMPI method) (ConvergenceController method) (EstimateExtrapolationErrorNonMPI method) (SpreadStepSizesBlockwiseMPI method) (SpreadStepSizesBlockwiseNonMPI method) (StopAtMaxRuntime method) (StopAtNan method) prepare_ParaDiag_params() (ParaDiag static method) prev (Step property) prob (Level property) Problem (class in pySDC.core.problem) ProblemError process (Entry attribute) process_solution() (LogToPickleFile method) process_sweeper (Entry attribute) processSolutionForOutput() (GenericSpectralLinear method) (Problem method) (RayleighBenard method) (testequation0d method) project() (mesh_to_mesh_fenics method) prolong() (base_transfer_mass method) (base_transfer_MPI method) (BaseTransfer method) (delta_transfer method) (delta_transfer_MPI method) (fft_to_fft method) (mesh_to_mesh method), [1] (mesh_to_mesh_fenics method) (mesh_to_mesh_fft method) (mesh_to_mesh_fft2d method) (mesh_to_mesh_petsc_dmda method) (MeshToMeshFiredrake method) (MeshToMeshFiredrakeHierarchy method) (particles_to_particles method) (SpaceTransfer method) prolong_f() (base_transfer_mass method) (base_transfer_MPI method) (BaseTransfer method) ProtheroRobinson (class in pySDC.implementations.problem_classes.odeScalar) ProtheroRobinsonAutonomous (class in pySDC.implementations.problem_classes.odeSystem) put_BCs_in_matrix() (SpectralHelper method) put_BCs_in_rhs() (SpectralHelper method) put_BCs_in_rhs_hat() (SpectralHelper method) pySDC.core module pySDC.core.base_transfer module pySDC.core.check_convergence module pySDC.core.collocation module pySDC.core.common module pySDC.core.controller module pySDC.core.convergence_controller module pySDC.core.default_hook module pySDC.core.errors module pySDC.core.hooks module pySDC.core.level module pySDC.core.problem module pySDC.core.space_transfer module pySDC.core.step module pySDC.core.sweeper module pySDC.core.timings module pySDC.helpers module pySDC.helpers.blocks module pySDC.helpers.fft_helper module pySDC.helpers.fieldsIO module pySDC.helpers.firedrake_ensemble_communicator module pySDC.helpers.NCCL_communicator module pySDC.helpers.ParaDiagHelper module pySDC.helpers.plot_helper module pySDC.helpers.problem_helper module pySDC.helpers.pySDC_as_gusto_time_discretization module pySDC.helpers.pysdc_helper module pySDC.helpers.setup_helper module pySDC.helpers.spectral_helper module pySDC.helpers.stats_helper module pySDC.helpers.testing module pySDC.helpers.transfer_helper module pySDC.helpers.visualization_tools module pySDC.helpers.vtkIO module pySDC.implementations module pySDC.implementations.controller_classes module pySDC.implementations.controller_classes.controller_MPI module pySDC.implementations.controller_classes.controller_nonMPI module pySDC.implementations.controller_classes.controller_ParaDiag_MPI module

pySDC.implementations.controller_classes.controller_ParaDiag_nonMPI module pySDC.implementations.controller_classes.ParaDiag module pySDC.implementations.convergence_controller_classes module pySDC.implementations.convergence_controller_classes.adaptive_alpha module pySDC.implementations.convergence_controller_classes.adaptive_collocation module pySDC.implementations.convergence_controller_classes.adaptivity module pySDC.implementations.convergence_controller_classes.basic_restarting module pySDC.implementations.convergence_controller_classes.check_iteration_estimator module pySDC.implementations.convergence_controller_classes.crash module pySDC.implementations.convergence_controller_classes.estimate_contraction_factor module pySDC.implementations.convergence_controller_classes.estimate_embedded_error module pySDC.implementations.convergence_controller_classes.estimate_extrapolation_error module pySDC.implementations.convergence_controller_classes.estimate_polynomial_error module pySDC.implementations.convergence_controller_classes.hotrod module pySDC.implementations.convergence_controller_classes.inexactness module pySDC.implementations.convergence_controller_classes.interpolate_between_restarts module pySDC.implementations.convergence_controller_classes.spread_step_sizes module pySDC.implementations.convergence_controller_classes.step_size_limiter module pySDC.implementations.convergence_controller_classes.store_uold module pySDC.implementations.datatype_classes module pySDC.implementations.datatype_classes.container module pySDC.implementations.datatype_classes.cupy_mesh module pySDC.implementations.datatype_classes.fenics_mesh module pySDC.implementations.datatype_classes.firedrake_mesh module pySDC.implementations.datatype_classes.mesh module pySDC.implementations.datatype_classes.particles module pySDC.implementations.datatype_classes.petsc_vec module pySDC.implementations.hooks module pySDC.implementations.hooks.AllenCahn_monitor module pySDC.implementations.hooks.log_embedded_error_estimate module pySDC.implementations.hooks.log_errors module pySDC.implementations.hooks.log_extrapolated_error_estimate module pySDC.implementations.hooks.log_GPU_timings module pySDC.implementations.hooks.log_residual module pySDC.implementations.hooks.log_restarts module pySDC.implementations.hooks.log_solution module pySDC.implementations.hooks.log_step_size module pySDC.implementations.hooks.log_work module pySDC.implementations.hooks.plotting module pySDC.implementations.problem_classes module pySDC.implementations.problem_classes.acoustic_helpers module pySDC.implementations.problem_classes.acoustic_helpers.buildWave1DMatrix module pySDC.implementations.problem_classes.acoustic_helpers.standard_integrators module pySDC.implementations.problem_classes.AcousticAdvection_1D_FD_imex module pySDC.implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT module pySDC.implementations.problem_classes.AdvectionEquation_ND_FD module pySDC.implementations.problem_classes.AllenCahn_1D_FD module pySDC.implementations.problem_classes.AllenCahn_2D_FD module pySDC.implementations.problem_classes.AllenCahn_2D_FFT module pySDC.implementations.problem_classes.AllenCahn_MPIFFT module pySDC.implementations.problem_classes.AllenCahn_Temp_MPIFFT module pySDC.implementations.problem_classes.Auzinger_implicit module pySDC.implementations.problem_classes.Battery module pySDC.implementations.problem_classes.Boussinesq_2D_FD_imex module pySDC.implementations.problem_classes.boussinesq_helpers module pySDC.implementations.problem_classes.boussinesq_helpers.build2DFDMatrix module pySDC.implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix module pySDC.implementations.problem_classes.boussinesq_helpers.buildFDMatrix module pySDC.implementations.problem_classes.boussinesq_helpers.helper_classes module pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators module pySDC.implementations.problem_classes.boussinesq_helpers.unflatten module pySDC.implementations.problem_classes.Brusselator module pySDC.implementations.problem_classes.BuckConverter module pySDC.implementations.problem_classes.Burgers module pySDC.implementations.problem_classes.DiscontinuousTestODE module pySDC.implementations.problem_classes.FastWaveSlowWave_0D module pySDC.implementations.problem_classes.FermiPastaUlamTsingou module pySDC.implementations.problem_classes.FullSolarSystem module pySDC.implementations.problem_classes.GeneralizedFisher_1D_FD_implicit module pySDC.implementations.problem_classes.GeneralizedFisher_1D_PETSc module pySDC.implementations.problem_classes.generic_MPIFFT_Laplacian module pySDC.implementations.problem_classes.generic_ND_FD module pySDC.implementations.problem_classes.generic_spectral module pySDC.implementations.problem_classes.GenericGusto module pySDC.implementations.problem_classes.GrayScott_1D_FEniCS_implicit module pySDC.implementations.problem_classes.GrayScott_2D_PETSc_periodic module pySDC.implementations.problem_classes.GrayScott_MPIFFT module pySDC.implementations.problem_classes.HarmonicOscillator module pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced module pySDC.implementations.problem_classes.HeatEquation_2D_PETSc_forced module pySDC.implementations.problem_classes.HeatEquation_Chebychev module pySDC.implementations.problem_classes.HeatEquation_ND_FD module pySDC.implementations.problem_classes.HeatFiredrake module pySDC.implementations.problem_classes.HenonHeiles module pySDC.implementations.problem_classes.LogisticEquation module pySDC.implementations.problem_classes.Lorenz module pySDC.implementations.problem_classes.nonlinear_ODE_1 module pySDC.implementations.problem_classes.NonlinearSchroedinger_MPIFFT module pySDC.implementations.problem_classes.odeScalar module pySDC.implementations.problem_classes.odeSystem module pySDC.implementations.problem_classes.OuterSolarSystem module pySDC.implementations.problem_classes.PenningTrap_3D module pySDC.implementations.problem_classes.Piline module pySDC.implementations.problem_classes.polynomial_test_problem module pySDC.implementations.problem_classes.Quench module pySDC.implementations.problem_classes.RayleighBenard module pySDC.implementations.problem_classes.RayleighBenard3D module pySDC.implementations.problem_classes.TestEquation_0D module pySDC.implementations.problem_classes.Van_der_Pol_implicit module pySDC.implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic module pySDC.implementations.sweeper_classes module pySDC.implementations.sweeper_classes.boris_2nd_order module pySDC.implementations.sweeper_classes.delta_form module pySDC.implementations.sweeper_classes.delta_form_MPI module pySDC.implementations.sweeper_classes.explicit module pySDC.implementations.sweeper_classes.generic_implicit module pySDC.implementations.sweeper_classes.generic_implicit_mass module pySDC.implementations.sweeper_classes.generic_implicit_MPI module pySDC.implementations.sweeper_classes.imex_1st_order module pySDC.implementations.sweeper_classes.imex_1st_order_mass module pySDC.implementations.sweeper_classes.imex_1st_order_MPI module pySDC.implementations.sweeper_classes.multi_implicit module pySDC.implementations.sweeper_classes.Multistep module pySDC.implementations.sweeper_classes.ParaDiagSweepers module pySDC.implementations.sweeper_classes.Runge_Kutta module pySDC.implementations.sweeper_classes.Runge_Kutta_Nystrom module pySDC.implementations.sweeper_classes.verlet module pySDC.implementations.transfer_classes module pySDC.implementations.transfer_classes.BaseTransfer_mass module pySDC.implementations.transfer_classes.BaseTransferDelta module pySDC.implementations.transfer_classes.BaseTransferDeltaMPI module pySDC.implementations.transfer_classes.BaseTransferMPI module pySDC.implementations.transfer_classes.TransferFenicsMesh module pySDC.implementations.transfer_classes.TransferFiredrakeMesh module pySDC.implementations.transfer_classes.TransferMesh module pySDC.implementations.transfer_classes.TransferMesh_FFT module pySDC.implementations.transfer_classes.TransferMesh_FFT2D module pySDC.implementations.transfer_classes.TransferMesh_MPIFFT module pySDC.implementations.transfer_classes.TransferMesh_NoCoarse module pySDC.implementations.transfer_classes.TransferParticles_NoCoarse module pySDC.implementations.transfer_classes.TransferPETScDMDA module pySDC_integrator (class in pySDC.helpers.pySDC_as_gusto_time_discretization)

Q

QDiagonalization (class in pySDC.implementations.sweeper_classes.ParaDiagSweepers) QDiagonalizationIMEX (class in pySDC.implementations.sweeper_classes.ParaDiagSweepers)

Quench (class in pySDC.implementations.problem_classes.Quench) QuenchIMEX (class in pySDC.implementations.problem_classes.Quench)

R

radius_from_volume() (AllenCahnMonitor method) rank (Sweeper property) (SweeperMPI property) ranks (BlockDecomposition property) RayleighBenard (class in pySDC.implementations.problem_classes.RayleighBenard) RayleighBenard3D (class in pySDC.implementations.problem_classes.RayleighBenard3D) reaction() (allencahn2d_imex method) (allencahn_fullyimplicit method) reaction_cubic() (allencahn_fullyimplicit method) reaction_cubic_prime() (allencahn_fullyimplicit method) reaction_linear() (allencahn_fullyimplicit method) reaction_prime() (allencahn_fullyimplicit method) readField() (FieldsIO method) (Rectilinear method) readFromVTR() (in module pySDC.helpers.vtkIO) readHeader() (FieldsIO method) (Rectilinear method) (Scalar method) ReadOnlyError record() (AllenCahnMonitor method) Rectilinear (class in pySDC.helpers.fieldsIO) recv() (controller_MPI method) Recv() (ConvergenceController method) recv() (ConvergenceController method) Recv() (NCCLComm method) recv() (particles method) recv_full() (controller_MPI method) (controller_nonMPI method) redistribute() (SpectralHelper method) Reduce() (FiredrakeEnsembleCommunicator method) (NCCLComm method) reduce() (NCCLComm method) register() (FieldsIO class method) RegisterParams (class in pySDC.core.common) remove_BC() (SpectralHelper method) reset_buffers_nonMPI() (BasicRestartingNonMPI method) (CheckIterationEstimatorNonMPI method) (ConvergenceController method) (EstimateEmbeddedErrorLinearizedNonMPI method) reset_level() (Level method) reset_stats() (Hooks method) reset_status_variables() (AdaptiveAlpha method) (AdaptiveCollocation method) (AdaptivityCollocation method) (BasicRestarting method) (ConvergenceController method) (EstimateEmbeddedErrorCollocation method) (EstimatePolynomialError method)

reset_step() (Step method) reshape() (FieldsIO method) (Rectilinear method) residual (pySDC_integrator property) resolve_alpha() (ParaDiag static method) restart_block() (controller_MPI method) (controller_nonMPI method) restrict() (base_transfer_mass method) (base_transfer_MPI method) (BaseTransfer method) (delta_transfer method) (delta_transfer_MPI method) (fft_to_fft method) (mesh_to_mesh method), [1] (mesh_to_mesh_fenics method) (mesh_to_mesh_fft method) (mesh_to_mesh_fft2d method) (mesh_to_mesh_petsc_dmda method) (MeshToMeshFiredrake method) (MeshToMeshFiredrakeHierarchy method) (particles_to_particles method) (SpaceTransfer method) restrict_dual() (mesh_to_mesh_fenics method) restrict_state() (delta_transfer method) restriction_matrix_1d() (in module pySDC.helpers.transfer_helper) return_stats() (Controller method) (Hooks method) rhs_fenics_mesh (class in pySDC.implementations.datatype_classes.fenics_mesh) rhs_n_labels (GenericGusto attribute) (GenericGustoImex attribute) RK3Lin() (SplitExplicit method) RK4 (class in pySDC.implementations.sweeper_classes.Runge_Kutta) rk_imex (class in pySDC.implementations.problem_classes.acoustic_helpers.standard_integrators) (class in pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators) RKN (class in pySDC.implementations.sweeper_classes.Runge_Kutta_Nystrom) run() (Controller method) (controller_MPI method) (controller_nonMPI method) RungeKutta (class in pySDC.implementations.sweeper_classes.Runge_Kutta) RungeKuttaIMEX (class in pySDC.implementations.sweeper_classes.Runge_Kutta) RungeKuttaNystrom (class in pySDC.implementations.sweeper_classes.Runge_Kutta_Nystrom)

S

save_plot (PlottingHook attribute) savefig() (in module pySDC.helpers.plot_helper) Scalar (class in pySDC.helpers.fieldsIO) Send() (ConvergenceController method) send() (ConvergenceController method) Send() (NCCLComm method) send() (particles method) send_full() (controller_MPI method) (controller_nonMPI method) set_G_inv() (controller_ParaDiag_nonMPI method) (QDiagonalization method) set_level_status_variable() (ConvergenceController method) set_maxiter() (NewtonInexactness method) set_step_status_variable() (ConvergenceController method) set_tolerance() (NewtonInexactness method) setHeader() (FieldsIO method) (Rectilinear method) (Scalar method) setup() (AdaptiveAlpha method) (AdaptiveCollocation method) (Adaptivity method) (AdaptivityBase method) (AdaptivityCollocation method) (AdaptivityExtrapolationWithinQ method) (AdaptivityForConvergedCollocationProblems method) (AdaptivityPolynomialError method) (AdaptivityResidual method) (AdaptivityRK method) (BasicRestarting method) (CFLLimit method) (CheckConvergence method) (CheckIterationEstimatorNonMPI method) (ConvergenceController method) (EstimateContractionFactor method) (EstimateEmbeddedError method) (EstimateEmbeddedErrorCollocation method) (EstimateEmbeddedErrorLinearizedNonMPI method) (EstimateExtrapolationErrorBase method) (EstimateExtrapolationErrorNonMPI method) (EstimateExtrapolationErrorWithinQ method) (EstimatePolynomialError method) (HotRod method) (InterpolateBetweenRestarts method) (NewtonInexactness method) (pySDC_integrator method) (SpreadStepSizesBlockwise method) (StepSizeLimiter method) (StepSizeRounding method) (StepSizeSlopeLimiter method) (StopAtMaxRuntime method) (StopAtNan method) (StoreUOld method) setup_BCs() (SpectralHelper method) setup_convergence_controllers() (Controller method) setup_CPU() (SpectralHelper method) (SpectralHelper1D method) setup_fft() (SpectralHelper method) setup_GPU() (allencahn2d_imex method) (allencahn_fullyimplicit method) (GenericNDimFinDiff method) (GenericSpectralLinear method) (heatNd_forced method) (IMEX_Laplacian_MPIFFT method) (SpectralHelper method) (SpectralHelper1D method) (testequation0d method) setup_L() (GenericSpectralLinear method) setup_M() (GenericSpectralLinear method) setup_mpl() (in module pySDC.helpers.plot_helper) setup_preconditioner() (GenericSpectralLinear method) setup_status_variables() (AdaptiveAlpha method) (AdaptiveCollocation method) (AdaptivityCollocation method) (AdaptivityResidual method) (BasicRestarting method) (CFLLimit method) (CheckIterationEstimatorNonMPI method) (ConvergenceController method) (EstimateContractionFactor method) (EstimateEmbeddedError method) (EstimateEmbeddedErrorCollocation method) (EstimateExtrapolationErrorBase method) (EstimateExtrapolationErrorNonMPI method) (InterpolateBetweenRestarts method) setupCoords() (Rectilinear static method) setUpFieldsIO() (GenericSpectralLinear method) (Problem method) setupMPI() (Rectilinear class method) shape (SpectralHelper property) show_residual_across_simulation() (in module pySDC.helpers.visualization_tools) sID (FieldsIO attribute) (Rectilinear attribute) (Scalar attribute) solve_jacobian() (Problem method) (vanderpol method) solve_system() (acoustic_1d_imex method) (advectiondiffusion1d_imex method) (advectiondiffusion1d_implicit method) (allencahn2d_imex method) (allencahn2d_imex_stab method) (allencahn_front_finel method) (allencahn_front_fullyimplicit method) (allencahn_front_semiimplicit method) (allencahn_fullyimplicit method) (allencahn_periodic_fullyimplicit method) (allencahn_periodic_semiimplicit method) (allencahn_semiimplicit method) (allencahn_semiimplicit_v2 method) (allencahn_temp_imex method) (auzinger method) (battery method) (battery_implicit method) (battery_n_capacitors method) (boussinesq_2d_imex method) (Brusselator method) (buck_converter method) (ChemicalReaction3Var method) (DiscontinuousTestODE method) (ExactDiscontinuousTestODE method) (fenics_grayscott method) (fenics_grayscott_mass method) (fenics_heat method) (fenics_heat_mass method) (fenics_heat_mass_timebc method) (fenics_vortex_2d method) (fenics_vortex_2d_mass method) (generalized_fisher method) (GenericGusto method) (GenericGustoImex method) (GenericNDimFinDiff method) (GenericSpectralLinear method) (grayscott_imex_diffusion method) (Heat1DForcedFiredrake method) (heat2d_petsc_forced method) (IMEX_Laplacian_MPIFFT method) (JacobiElliptic method) (Kaps method) (logistics_equation method) (LorenzAttractor method) (nonlinear_ODE_1 method) (nonlinearschroedinger_fully_implicit method) (petsc_fisher_fullyimplicit method) (petsc_fisher_semiimplicit method) (petsc_grayscott_fullyimplicit method) (petsc_grayscott_semiimplicit method) (piline method) (polynomial_testequation method) (Problem method) (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) (Quench method) (QuenchIMEX method) (swfw_scalar method) (test_equation_IMEX method) (testequation0d method) (vanderpol method)

solve_system_1() (allencahn_multiimplicit method) (allencahn_multiimplicit_v2 method) (allencahn_periodic_multiimplicit method) (grayscott_mi_diffusion method) (grayscott_mi_linear method) (petsc_fisher_multiimplicit method) (petsc_grayscott_multiimplicit method) solve_system_2() (allencahn_multiimplicit method) (allencahn_multiimplicit_v2 method) (allencahn_periodic_multiimplicit method) (grayscott_mi_diffusion method) (grayscott_mi_linear method) (petsc_fisher_multiimplicit method) (petsc_grayscott_multiimplicit method) solve_system_delta() (fenics_heat method) sort_stats() (in module pySDC.helpers.stats_helper) space_comm (FiredrakeEnsembleCommunicator property) SpaceTransfer (class in pySDC.core.space_transfer) SpectralHelper (class in pySDC.helpers.spectral_helper) SpectralHelper1D (class in pySDC.helpers.spectral_helper) Split() (FiredrakeEnsembleCommunicator method) SplitExplicit (class in pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators) spread() (controller_MPI method) (controller_nonMPI method) SpreadStepSizesBlockwise (class in pySDC.implementations.convergence_controller_classes.spread_step_sizes) SpreadStepSizesBlockwiseMPI (class in pySDC.implementations.convergence_controller_classes.spread_step_sizes) SpreadStepSizesBlockwiseNonMPI (class in pySDC.implementations.convergence_controller_classes.spread_step_sizes) Status (class in pySDC.core.convergence_controller) Step (class in pySDC.core.step) step (pySDC_integrator property) step_is_active() (Controller method) (ParaDiag method) steps (Controller property) StepSizeLimiter (class in pySDC.implementations.convergence_controller_classes.step_size_limiter) StepSizeRounding (class in pySDC.implementations.convergence_controller_classes.step_size_limiter) StepSizeSlopeLimiter (class in pySDC.implementations.convergence_controller_classes.step_size_limiter) StopAtMaxRuntime (class in pySDC.implementations.convergence_controller_classes.crash) StopAtNan (class in pySDC.implementations.convergence_controller_classes.crash) store_values() (EstimateExtrapolationErrorBase method) storeAndCheck() (DataChecker method) StoreUOld (class in pySDC.implementations.convergence_controller_classes.store_uold) STRUCTS (FieldsIO attribute) sweep (Entry attribute) (Level property) Sweeper (class in pySDC.core.sweeper) SweeperMPI (class in pySDC.implementations.sweeper_classes.generic_implicit_MPI) swfw_scalar (class in pySDC.implementations.problem_classes.FastWaveSlowWave_0D) switch_sweeper() (AdaptiveCollocation method) sync_initial_value() (DeltaFormMixin method)

T

t_next_log (LogToPickleFileAfterXS attribute) tag (Level property) test_equation_IMEX (class in pySDC.implementations.problem_classes.TestEquation_0D) testequation0d (class in pySDC.implementations.problem_classes.TestEquation_0D) time (Entry attribute) (Level property) (Step property) time() (FieldsIO method) time_comm (FiredrakeEnsembleCommunicator property) time_increment (LogToFile attribute) (LogToPickleFileAfterXS attribute) times (FieldsIO property) timestep() (bdf2 method), [1] (dirk method), [1] (rk_imex method), [1] (SplitExplicit method) (trapezoidal method), [1]

Timings (class in pySDC.core.timings) total_increment() (in module pySDC.implementations.sweeper_classes.delta_form) toVTR() (Rectilinear method) transfer() (Step method) TransferError transform() (ChebychevHelper method) (FFTHelper method) (SpectralHelper method) trapezoidal (class in pySDC.implementations.problem_classes.acoustic_helpers.standard_integrators) (class in pySDC.implementations.problem_classes.boussinesq_helpers.standard_integrators) trigger_restart_upon_nonconvergence() (AdaptivityForConvergedCollocationProblems method) tSize (FieldsIO attribute) type (Entry attribute)

U

u_exact() (acoustic_1d_imex method) (advectiondiffusion1d_imex method) (advectionNd method) (allencahn2d_imex method) (allencahn_front_fullyimplicit method) (allencahn_fullyimplicit method) (allencahn_imex method) (allencahn_periodic_fullyimplicit method) (allencahn_semiimplicit method) (allencahn_temp_imex method) (auzinger method) (battery method) (battery_n_capacitors method) (boussinesq_2d_imex method) (Brusselator method) (buck_converter method) (Burgers1D method) (Burgers2D method) (ChemicalReaction3Var method) (DiscontinuousTestODE method) (fenics_grayscott method) (fenics_heat method) (fenics_heat_mass_timebc method) (fenics_vortex_2d method) (fermi_pasta_ulam_tsingou method) (full_solar_system method) (generalized_fisher method) (grayscott_imex_diffusion method) (harmonic_oscillator method) (Heat1DChebychev method) (Heat1DForcedFiredrake method) (Heat1DUltraspherical method) (heat2d_petsc_forced method) (Heat2DChebychev method) (Heat2DUltraspherical method) (heatNd_forced method) (heatNd_unforced method) (henon_heiles method) (JacobiElliptic method) (Kaps method) (logistics_equation method) (LorenzAttractor method) (nonlinear_ODE_1 method) (nonlinearschroedinger_imex method) (outer_solar_system method) (penningtrap method) (petsc_fisher_multiimplicit method) (petsc_grayscott_multiimplicit method) (piline method) (polynomial_testequation method) (ProtheroRobinson method) (ProtheroRobinsonAutonomous method) (Quench method) (QuenchIMEX method) (RayleighBenard method) (RayleighBenard3D method) (swfw_scalar method) (test_equation_IMEX method) (testequation0d method) (vanderpol method)

u_init (Problem property) (SpectralHelper property) u_init() (harmonic_oscillator method) (penningtrap method) u_init_forward (SpectralHelper property) u_init_physical (SpectralHelper property) UltrasphericalHelper (class in pySDC.helpers.spectral_helper) unflatten() (in module pySDC.implementations.problem_classes.boussinesq_helpers.unflatten) UnlockError update() (Cache method) update_G_inv() (controller_ParaDiag_MPI method) (controller_ParaDiag_nonMPI method) (ParaDiag method) update_nodes() (boris_2nd_order method) (DeltaFormMixin method) (explicit method) (generic_implicit method) (generic_implicit_mass method) (generic_implicit_MPI method) (imex_1st_order method) (imex_1st_order_mass method) (imex_1st_order_MPI method) (multi_implicit method) (MultiStep method) (QDiagonalization method) (RungeKutta method) (RungeKuttaIMEX method) (RungeKuttaNystrom method) (Sweeper method) (verlet method) update_solution() (controller_ParaDiag_MPI method) (controller_ParaDiag_nonMPI method) updateVariableCoeffs() (Sweeper method) use_restricted_boundary_values() (GenericSpectralLinear method) (Problem method)

V

V (SpectralHelper property) vanderpol (class in pySDC.implementations.problem_classes.Van_der_Pol_implicit)

Velocity_Verlet (class in pySDC.implementations.sweeper_classes.Runge_Kutta_Nystrom) verlet (class in pySDC.implementations.sweeper_classes.verlet) VerletLin() (SplitExplicit method)

W

wait_for_request() (controller_MPI method) weights (ARK2 attribute) (ARK3 attribute) (ARK32 attribute) (ARK324L2SAERK attribute) (ARK54 attribute) (ARK548L2SA attribute) (ARK548L2SAERK attribute) (ARK548L2SAESDIRK2 attribute) (BackwardEuler attribute) (Cash_Karp attribute) (CrankNicolson attribute) (DIRK43 attribute) (DIRK43_2 attribute) (EDIRK4 attribute) (ESDIRK43 attribute) (ESDIRK53 attribute) (ExplicitMidpointMethod attribute) (ForwardEuler attribute) (Heun_Euler attribute) (IMEXEuler attribute) (IMEXEulerStifflyAccurate attribute) (ImplicitMidpointMethod attribute) (RK4 attribute) (RKN attribute) (RungeKutta attribute) (Velocity_Verlet attribute)

weights_bar (RKN attribute) (RungeKuttaNystrom attribute) (Velocity_Verlet attribute) weights_explicit (ARK2 attribute) (ARK3 attribute) (IMEXEulerStifflyAccurate attribute) (RungeKuttaIMEX attribute) welcome_message() (Controller method) WorkCounter (class in pySDC.core.problem) writeFields_MPI() (in module pySDC.helpers.fieldsIO) writeToJSON() (DataChecker method) writeToVTR() (in module pySDC.helpers.vtkIO)

X

x() (Heat1DForcedFiredrake method)