Open Access
Table 2
Time integration methods in MPI-AMRVAC 3.0, as implemented in mod_advance.t.
| Step | Explicit | IMEX |
|---|---|---|
| one-step | Forward Euler | IMEX-Euler or IMEX-SP |
| two-step | Predictor-Corrector (explicit midpoint) | IMEX-Midpoint |
| SSPRK(2,2) (Heun’s method) | IMEX-Trapezoidal | |
| RK2(α) | IMEX222(λ) | |
| three-step | SSPRK(3,3) or SSP(3,2) | IMEX-ARK(2,3,2) or IMEX-SSP(2,3,2) |
| RK3 (Butcher Table: Ralston3, RK-Wray3, Heun3, Nystrom3) | IMEX-ARS3 | |
| IMEX-CB3a | ||
| four-step | SSPRK(4,3) or SSP(4,2) | – |
| RK(4,4) | ||
| five-step | SSPRK(5,4) (Gottlieb 2005 or Spiteri & Ruuth 2002) | – |
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