Stepsize restrictions for boundedness and monotonicity of multistep methods

DOI10.1007/s10915-011-9487-1zbMath1261.65084OpenAlexW2136165012MaRDI QIDQ421333

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

Publication date: 23 May 2012

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/16707

zbMATH Keywords

boundednessnumerical examplesinitial value problemmethod of lineslinear multistep methodstotal-variation-diminishingnonlinear monotonicityRunge-Kutta starting proceduresstepsize coefficientstrong-stability-preservingtotal-variation-bounded

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) 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, Summation-by-parts in time, The SBP-SAT technique for initial value problems, Optimal subsets in the stability regions 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, A note on analysis and numerics of algae growth, Stability and boundedness in the numerical solution of initial value problems

Uses Software

• RODAS

Cites Work

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