High-order linear multistep methods with general monotonicity and boundedness properties

DOI10.1016/j.jcp.2005.02.029zbMath1074.65085OpenAlexW2025363506MaRDI QIDQ2485682

Steven J. Ruuth, Willem H. Hundsdorfer

Publication date: 5 August 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2005.02.029

zbMATH Keywords

monotonicitycomparison of methodsnumerical experimentsRunge-Kutta methodslinear multistep methodsstrong stability preservingstrong-stability-preservingoptimal step size conditions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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