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math.NA2011★ 7 cited
Implicit-Explicit Runge-Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit
S. Boscarino, L. Pareschi, G. Russo
We consider Implicit-Explicit (IMEX) Runge-Kutta (R-K) schemes for hyperbolic systems with stiff relaxation in the so-called diffusion limit. In such regime the system relaxes towa…
math.NA2008★ 11 cited
Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations
Iasson Karafyllis, Lars Grune
In this work we study the problem of step size selection for numerical schemes, which guarantees that the numerical solution presents the same qualitative behavior as the original…