Implicit Runge–Kutta Methods for Lipschitz Continuous Ordinary Differential Equations

DOI10.1137/070688699zbMath1170.65062OpenAlexW2006593825MaRDI QIDQ3631915

Xiaojun Chen, Sayed Mahmoud

Publication date: 22 June 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070688699

zbMATH Keywords

numerical experimentsimplicit Runge-Kutta methodnonsmooth equationssuperlinear convergenceslanting Newton method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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)

A class of quadratic programs with linear complementarity constraints ⋮ A class of differential inverse quasi-variational inequalities in finite dimensional spaces ⋮ A verified inexact implicit Runge-Kutta method for nonsmooth ODEs

This page was built for publication: Implicit Runge–Kutta Methods for Lipschitz Continuous Ordinary Differential Equations