Enumeration results for Runge-Kutta methods for index 2 DAEs

DOI10.1016/J.CAM.2006.12.018zbMath1131.65070OpenAlexW2170496114MaRDI QIDQ2469630

Frank Cameron

Publication date: 6 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.12.018

zbMATH Keywords

differential-algebraic equationsenumerationRunge-Kutta methodsorder conditionsindex 2 DAEs

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)

Uses Software

• RODAS

Cites Work

• Unnamed Item
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Solving Ordinary Differential Equations I
• Runge-Kutta Methods Applied to Fully Implicit Differential-Algebraic Equations of Index 1
• A Matlab package for automatically generating Runge-Kutta trees, order conditions, and truncation error coefficients
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2

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