On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems

DOI10.1007/BF02238131zbMath0823.65074OpenAlexW1549127376MaRDI QIDQ1345432

Inmaculada Higueras

Publication date: 24 October 1995

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238131

zbMATH Keywords

Runge-Kutta methodslocal errororder conditionssimplifying assumptionsindex 2 differential algebraic 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)

Related Items

An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods, A four-stage index 2 diagonally implicit Runge-Kutta method, An analysis of the Prothero-Robinson example for constructing new adaptive ESDIRK methods of order 3 and 4

Uses Software

• RODAS

Cites Work

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• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Efficiently Implementable Algebraically Stable Runge–Kutta Methods
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods