Formal series and numerical integrators. II: Application to index-\(2\) differential-algebraic systems

DOI10.1016/S0168-9274(98)00070-1zbMath0940.34001MaRDI QIDQ1294534

Ander Murua

Publication date: 24 July 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Runge-Kutta methodorder conditionindex-2 differential-algebraic systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for differential-algebraic equations (65L80)

Related Items (1)

Formal series and numerical integrators. I: Systems of ODEs and symplectic integrators

Uses Software

• RODAS

Cites Work

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• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2
• Formal series and numerical integrators. I: Systems of ODEs and symplectic integrators
• Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2
• A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations
• Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
• Solving Ordinary Differential Equations I
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2
• On the structure of errors for Radau IA methods applied to index-2 DAEs

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