From Semi-discrete to Fully-discrete: Stability of Runge-kutta Schemes by the Energy Method

  • EITAN TADMORy
  • Published 1998

Abstract

The integration of semi-discrete approximations for time-dependent problems is encountered in a variety of applications. The Runge-Kutta (RK) methods are widely used to integrate the ODE systems which arise in this context, resulting in large ODE systems called methods of lines. These methods of lines are governed by possibly ill-conditioned systems with a… (More)

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