Implicit SDC Core (implicit_sdc_core)

class pypint.solvers.cores.implicit_sdc_core.ImplicitSdcCore

Bases: pypint.solvers.cores.sdc_solver_core.SdcSolverCore

Implicit SDC Core

run(state, **kwargs)

Implicit Euler step method.

\[u_{m+1}^{k+1} - \Delta_\tau F(t_{m+1}, u_{m+1}^{k+1}) = u_m^{k+1} + \Delta_\tau F(t_{m+1}, u_{m+1}^k) + \Delta_t I_m^{m+1} \left( F(\vec{u}^k) \right)\]