A new approach to solving nonstiff initial-value problems

DOI10.1016/0377-0427(93)90263-BzbMath0782.65089OpenAlexW2008601421MaRDI QIDQ688021

Juan-Miguel Gracia

Publication date: 7 March 1994

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

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90263-b

zbMATH Keywords

Numerical resultsAdams formulaenonstiff equationspredictor-corrector formulae

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)

Uses Software

• MEBDF
• LSODE

Cites Work

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• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations
• Some Practical Runge-Kutta Formulas
• An MEBDF code for stiff initial value problems
• A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations
• Generalized Multistep Predictor-Corrector Methods
• Hybrid Methods for Initial Value Problems in Ordinary Differential Equations

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