Runge-Kutta methods for DAEs. A new approach

DOI10.1016/S0377-0427(99)00131-4zbMath0948.65081OpenAlexW1990149162MaRDI QIDQ1964101

Berta García-Celayeta, 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)00131-4

zbMATH Keywords

stabilityorderRunge-Kutta methodslinear time dependent differential algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items

Stability preserving integration of index-1 DAEs., Stability preserving integration of index-2 DAEs., Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations, Differential transform method applied to high index differential-algebraic equations, A variable step-size implementation of a variational method for stiff differential equations, Numerical solutions of linear time-varying descriptor systems via hybrid functions, Differential algebraic equations with properly stated leading terms, Urn models and differential algebraic equations, An algorithm for solving DAEs with mechanization, A unified approach to linear differential algebraic equations and their adjoints, Applications of differential transform methods to differential-algebraic equations, On the global error of special Runge-Kutta methods applied to linear differential algebraic equations, Multi-block generalized Adams-type integration methods for differential algebraic equations, Differential algebraic systems anew

Uses Software

• RODAS

Cites Work

• Index-2 differential-algebraic equations
• On the stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAEs
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• On Symmetric Schemes and Differential-Algebraic Equations
• Logarithmic Norms for Matrix Pencils
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods
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