On the structure of errors for Radau IA methods applied to index-2 DAEs

DOI10.1016/S0168-9274(96)00023-2zbMath0879.65046MaRDI QIDQ5961731

No author found.

Publication date: 21 April 1997

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

zbMATH Keywords

convergenceerror boundsdifferential-algebraic equationRunge-Kutta methodsGauss methodsRadau methods

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

Error analysis of one-leg methods for differential-algebraic equations of index 2 ⋮ Formal series and numerical integrators. II: Application to index-\(2\) differential-algebraic systems ⋮ Post-projected Runge-Kutta methods for index-2 differential-algebraic equations

Uses Software

• DASSL
• RODAS

Cites Work

• On smoothing and order reduction effects for implicit Runge-Kutta formulae
• Automatic integration of Euler-Lagrange equations with constraints
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Generalized symmetric Runge-Kutta methods
• Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Backward Differentiation Approximations of Nonlinear Differential/Algebraic Systems
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• Analysis of descriptor systems using numerical algorithms
• Internal Resonances in Weakly Nonlinearly Coupled Oscillators with Slowly Varying Parameters
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item