Special boundedness properties in numerical initial value problems

DOI10.1007/s10543-011-0349-xzbMath1239.65045OpenAlexW2130056581MaRDI QIDQ657892

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

Publication date: 10 January 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/16648

zbMATH Keywords

monotonicityinitial value problemsmethod of linesRunge-Kutta methodstotal-variation diminishingstrong stability preservingtotal-variation-boundedlinear multistep

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space, Stepsize restrictions for boundedness and monotonicity of multistep methods, Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods, Exact optimal values of step-size coefficients for boundedness of linear multistep methods, Unconditionally strong stability preserving extensions of the TR-BDF2 method, Stability and boundedness in the numerical solution of initial value problems

Uses Software

• RODAS

Cites Work

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