Runge-Kutta schemes that maintain invariant solutions for differential algebraic systems

DOI10.1007/BF01935645zbMath0872.65065MaRDI QIDQ1338530

Inmaculada Higueras

Publication date: 20 October 1997

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

implicit Runge-Kutta methodsquadratic invariantssemiexplicit index-2 systems of differential algebraic systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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)

Cites Work

• Runge-Kutta schemes for Hamiltonian systems
• On projected Runge-Kutta methods for differential-algebraic equations
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Stability of Runge-Kutta Methods for Trajectory Problems
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods

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