The Implementation of Implicit Runge-Kutta Formulae for the Solution of Initial-Value Problems

DOI10.1093/IMAMAT/23.3.339zbMath0402.65043OpenAlexW2084569419MaRDI QIDQ4187256

A. R. Curtis

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1093/imamat/23.3.339

zbMATH Keywords

Stability RegionsBackward-Differentiation MethodsHigh Order Implicit Runge-Kutta MethodsHighly Oscillatory SituationsLarge Stiff ProblemsOrder and Stepsize SelectionTestt Results

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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