On one-leg methods for differential-algebraic equations

DOI10.1007/BF01600188zbMath0612.65042OpenAlexW2312196006MaRDI QIDQ1088382

Roswitha März

Publication date: 1986

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01600188

zbMATH Keywords

scalingNewton iterationsone-leg methodssystems of differential-algebraic equationsuniformly bounded condition number

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods ⋮ Stable numerical solution for a class of structured differential-algebraic equations by linear multistep methods ⋮ Chebyshev series approximation for solving differential–algebraic equations (DAEs)

Cites Work

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• On initial value problems in differential-algebraic equations and their numerical treatment
• Multistep and one-leg methods for implicit mixed differential algebraic systems
• ODE Methods for the Solution of Differential/Algebraic Systems
• Convergence and stability in the numerical integration of ordinary differential equations

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