Implicit-Explicit Runge-Kutta Methods forTime-Dependent Partial Di erential

  title={Implicit-Explicit Runge-Kutta Methods forTime-Dependent Partial Di erential},
  author={EquationsUri and Mark Ascher and John Steven and Ruuthy and Jean-Pierre Raymond and SpiterizMarch},
  • EquationsUri, Mark Ascher, +3 authors SpiterizMarch
  • Published 1997
Implicit-explicit (IMEX) linear multistep time-discretization schemes for partial diierential equations have proved useful in many applications. However , they tend to have undesirable time-step restrictions when applied to convection-diiusion problems, unless diiusion strongly dominates and an appropriate BDF-based scheme is selected 2]. In this paper, we develop Runge-Kutta-based IMEX schemes that have better stability regions than the best known IMEX multistep schemes over a wide parameter… CONTINUE READING

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