On the extended one-step schemes for solving stiff systems of ordinary differential equations

DOI10.1080/00207169908804788zbMath0929.65042OpenAlexW2009713902MaRDI QIDQ4240631

Chenglie Hu

Publication date: 11 January 2000

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

Full work available at URL: https://doi.org/10.1080/00207169908804788

zbMATH Keywords

numerical examplesRunge-Kutta methodL-stabilitystiff accuracystiff initial value problemsextended one-step implicit 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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Safe Point Methods for Separably Stiff Systems of Ordinary Differential Equations
• Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems
• Comparing numerical methods for stiff systems of O.D.E:s
• A Numerical Integration Technique for Ordinary Differential Equations with Widely Separated Eigenvalues
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
• A special stability problem for linear multistep methods

This page was built for publication: On the extended one-step schemes for solving stiff systems of ordinary differential equations