Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2
type: Item
instance of: scholarly article
title: Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2
zbMATH Open document ID: 0881.65071
DOI: 10.1007/BF02684403
published in: Computing
publication date: 1998-01-13T00:00:00Z
review text: The author considers the initial value problem for semi-explicit differential-algebraic systems of index 2. For the numerical solution of this problem, he proposes a class of partitioned half-explicit Runge-Kutta methods. The methods compute at each step approximations of the solution for the \(y\)-component and also for the \(z\)-component. A few statements express the local uniqueness of the solution of the Runge-Kutta equations and the order of convergence of the numerical method. Some particular methods of order 4, 5 and 6 are derived and also one four-order continuous approximation. Numerical experiments are made on multibody systems.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 1057396
zbMATH Keywords: initial value problems
zbMATH Keywords: differential-algebraic systems of index 2
zbMATH Keywords: partitioned half explicit Runge-Kutta methods
zbMATH Keywords: convergence
zbMATH Keywords: multibody systems
author: Ander Murua
reviewed by: Iulian Coroian
describes a project that uses: RODAS
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1057396