Global optimization of explicit strong-stability-preserving Runge-Kutta methods

  title={Global optimization of explicit strong-stability-preserving Runge-Kutta methods},
  author={Steven J. Ruuth},
  journal={Math. Comput.},
Strong-stability-preserving Runge-Kutta (SSPRK) methods are a type of time discretization method that are widely used, especially for the time evolution of hyperbolic partial differential equations (PDEs). Under a suitable stepsize restriction, these methods share a desirable nonlinear stability property with the underlying PDE; e.g., positivity or stability with respect to total variation. This is of particular interest when the solution exhibits shock-like or other nonsmooth behaviour. A… CONTINUE READING
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