Modified order and stepsize strategies in Adams codes

DOI10.1016/S0377-0427(99)00135-1zbMath0941.65076OpenAlexW2095999356MaRDI QIDQ1964106

George Hall, Anila Usman

Publication date: 20 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00135-1

zbMATH Keywords

predictor-corrector methodsvan der Pol equationmildly stiff problemsstepsize strategyAdams multistep code

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 (1)

A new variable step size algorithm for Cauchy problem

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• A PI stepsize control for the numerical solution of ordinary differential equations
• Equilibrium states for predictor-corrector methods
• A new stepsize strategy for explicit Runge-Kutta codes
• Alternative stepsize strategies for Adams predictor-corrector codes
• Improved absolute stability of predictor-corrector schemes
• The MATLAB ODE Suite
• Equilibrium states of Runge Kutta schemes

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