Step Sizes for Strong Stability Preservation with Downwind-Biased Operators

DOI10.1137/100818674zbMath1229.65136arXiv1105.5798OpenAlexW2024067306MaRDI QIDQ3097474

David I. Ketcheson

Publication date: 10 November 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5798

zbMATH Keywords

monotonicitysemidiscretizationRunge-Kutta methodslinear multistep methodsstep size controlstrong stability-preserving

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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