A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations

DOI10.1007/BF01731981zbMath0854.65064MaRDI QIDQ1914865

Philippe Chartier, Robert P. K. Chan

Publication date: 15 August 1996

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

orderRunge-Kutta methodssymmetric compositionindex-2 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)

Related Items

Formal series and numerical integrators. II: Application to index-\(2\) differential-algebraic systems ⋮ Formal series and numerical integrators. I: Systems of ODEs and symplectic integrators ⋮ Post-projected Runge-Kutta methods for index-2 differential-algebraic equations

Uses Software

• RODAS

Cites Work

• Rosenbrock methods for differential algebraic equations
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
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