How to avoid accuracy and order reduction in Runge-Kutta methods as applied to stiff problems

DOI10.1134/S0965542517070119zbMath1379.65051OpenAlexW2741538429MaRDI QIDQ1683033

L. M. Skvortsov

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517070119

zbMATH Keywords

numerical exampleRunge-Kutta methodsstiff problemsorder reduction

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) Numerical methods for stiff equations (65L04)

Related Items

Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems ⋮ Algebraic Structure of the Weak Stage Order Conditions for Runge–Kutta Methods ⋮ Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations ⋮ Implicit Runge-Kutta methods with explicit internal stages

Uses Software

• RODAS

Cites Work

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