Spurios fixed points of a variable step size, variable order, predictor corrector algorithm

DOI10.1016/S0168-9274(98)00005-1zbMath0946.65053OpenAlexW2067485414MaRDI QIDQ1294469

Richard J. Wain

Publication date: 10 October 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00005-1

zbMATH Keywords

numerical examplevariable step sizevariable orderAdams-Bashforth-Moulton schemepredictor corrector algorithmShampine-Gordon methodspurious fixed points

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) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Uses Software

• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite
• Unnamed Item

Cites Work

• Unnamed Item
• Regular Runge-Kutta pairs
• The MATLAB ODE Suite
• A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory
• On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
• Spurious solutions of numerical methods for initial value problems
• Does Error Control Suppress Spuriosity?
• The automatic integration of ordinary differential equations

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