Stability and boundedness in the numerical solution of initial value problems

DOI10.1090/mcom/3191zbMath1368.65122OpenAlexW2420730797MaRDI QIDQ5270833

Marc N. Spijker

Publication date: 3 July 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c7052b17dab3c4ff9b51501f92471ccf957cb23d

zbMATH Keywords

monotonicityboundednessinitial value problemsmethod of linesnumerical stabilitylinear multistep methodforward Euler methodlinear problemtotal-variation-diminishingstrong-stability-preservingtotal-variation-boundedcircle condition

Mathematics Subject Classification ID

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) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space ⋮ Optimal subsets in the stability regions of multistep methods

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