ParaDiag: diagonalization-based Parallel-in-Time (PinT) algorithms, which can handle both both dissipative and hyperbolic equations
Multigrid Reduction in Time algorithm developed at the LLNL
PFASST is a time-parallel expansion of spectral deferred corrections methods.
The parallel implicit time-integrator.
Parareal is one of the most widely studied time-parallel methods.
STMG is a time-parallel method for parabolic PDEs.