IRK methods for DAE: Starting algorithms

DOI10.1016/S0377-0427(99)00133-8zbMath0948.65082OpenAlexW2008652949WikidataQ126849111 ScholiaQ126849111MaRDI QIDQ1964104

Teo Roldán, Inmaculada Higueras

Publication date: 22 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00133-8

zbMATH Keywords

nonlinear systemsimplicit Runge-Kutta methoddifferential-algebraic equationsemi-explicit index one

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (6)

Are high order variable step equistage initializers better than standard starting algorithms? ⋮ Starting algorithms for a class of RK methods for index-2 DAEs ⋮ An efficient scheme for the implementation of implicit Runge-Kutta methods ⋮ Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems. ⋮ Stage value predictors for additive and partitioned Runge-Kutta methods ⋮ Starting algorithms for low stage order RKN methods

Uses Software

• RODAS

Cites Work

• The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Unnamed Item
• Unnamed Item

This page was built for publication: IRK methods for DAE: Starting algorithms