Error analysis of one-leg methods for differential-algebraic equations of index 2

DOI10.1016/S1007-5704(99)90012-6zbMath0948.65083MaRDI QIDQ1961625

Ai-Guo Xiao, Shou-fu Li

Publication date: 18 May 2000

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical exampleerror analysisone-leg methodsdifferential-algebraic equations of index twotwo step method

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)

Related Items (1)

Convergence of one-leg hybrid methods for implicit mixed differential algebraic systems

Uses Software

• RODAS

Cites Work

• Stability of numerical methods for differential-algebraic equations of higher index
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• On the structure of errors for Radau IA methods applied to index-2 DAEs
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