Implicit-explicit methods for time-dependent partial differential equations. (English) Zbl 0841.65081

Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.

SIAM J. Numer. Anal. 32, No. 3, 797-823 (1995).

MSC:

65M20	Method of lines for initial value and initial-boundary value problems involving PDEs
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K57	Reaction-diffusion equations
65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L45	Initial value problems for first-order hyperbolic systems
65M55	Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs

Keywords:

implicit-explicit methods; reaction-diffusion problems; numerical experiments; method of lines; spectral methods; performance; fast multigrid algorithms; aliasing reduction; linear advection-diffusion equation; stability; finite difference; collocation