On the convergence of Runge-Kutta methods for stiff nonlinear differential equations

DOI10.1007/s002110050383zbMath0921.65051OpenAlexW2334140335MaRDI QIDQ1279836

S. González-Pinto, Manuel Calvo, Juan I. Montijano

Publication date: 16 September 1999

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050383

zbMATH Keywords

convergenceRunge-Kutta methodsstiff nonlinear initial value problems

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

Related Items (4)

An Approximate solution for a class of non-linear hill's equations ⋮ On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods ⋮ Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems ⋮ Implementation of high-order implicit Runge-Kutta methods

This page was built for publication: On the convergence of Runge-Kutta methods for stiff nonlinear differential equations