Stepsize Conditions for Boundedness in Numerical Initial Value Problems

DOI10.1137/090745842zbMath1209.65074OpenAlexW2159617505MaRDI QIDQ3056252

A. Mozartova, Marc N. Spijker, Willem H. Hundsdorfer

Publication date: 11 November 2010

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

Full work available at URL: https://ir.cwi.nl/pub/14979

zbMATH Keywords

monotonicityboundednessinitial value problemmethod of lineslinear multistep methodsAdams-Bashforth methodgeneral linear methodstrong stability preservingtotal-variation-diminishingtotal-variation-boundedsystems Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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