Equilibrium states for predictor-corrector methods

DOI10.1016/S0377-0427(97)00239-2zbMath0905.65088MaRDI QIDQ1128077

Anila Usman, George Hall

Publication date: 3 January 1999

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

zbMATH Keywords

predictor-corrector methodsstiff problemsstepsize controlstability regionsAdams multistep methodsstep control stability

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) Multiple scale methods for ordinary differential equations (34E13)

Related Items

A fully spectral methodology for magnetohydrodynamic calculations in a whole sphere, A new variable step size algorithm for Cauchy problem, Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations, Modified order and stepsize strategies in Adams codes, Alternative stepsize strategies for Adams predictor-corrector codes

Cites Work

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• A new stepsize strategy for explicit Runge-Kutta codes
• Equilibrium states of Runge Kutta schemes
• Equilibrium states of Runge-Kutta schemes: part II
• Analysis of Stepsize Selection Schemes for Runge-Kutta Codes
• Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
• Stability Analysis of Predictor-Corrector Algorithms of Adams Type
• The Stability of Predictor-Corrector Methods