Efficient rational one-step numerical integrators for initial value problems in ordinary differential equations

DOI10.1080/00207169908804834zbMath0976.65069OpenAlexW2001523948MaRDI QIDQ4702123

M. N. O. Ikhile, F. O. Otunta

Publication date: 13 January 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804834

zbMATH Keywords

stabilityconvergencestiff systemsorder conditionsone-step methodsrational nonlinear methods

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)

Related Items (3)

Coefficients for studying one-step rational schemes for IVPs in ODEs: II ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. III: Extrapolation methods ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. I

Cites Work

• Order and stepsize control in extrapolation methods
• Non-linear one-step methods for initial value problems
• Stability of explicit time discretizations for solving initial value problems
• Nonlinear multistep methods for initial value problems
• Stability and accuracy of time discretizations for initial value problems
• Predictor-corrector formulas based on rational interpolants
• Rate of Convergence of Multistep Codes Started by Variation of Order and Stepsize
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• Comparing numerical methods for stiff systems of O.D.E:s
• Stability and convergence of a class of variable order non-linear one-step rational integrators of initial value problems in ordinary differential equations
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