A note on stability investigations for Rosenbrock-type methods for quasilinear-implicit differential equations

DOI10.1007/BF02238291zbMath0839.65088OpenAlexW1534291106MaRDI QIDQ1906682

Rüdiger Weiner, Mario Büttner, Karl Strehmel

Publication date: 16 June 1996

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238291

zbMATH Keywords

A-stabilitydifferential-algebraic equationsL-stabilityRosenbrock-type methodsquasilinear-implicit differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative
• Rosenbrock methods for differential algebraic equations
• Implementation of the GMRES Method Using Householder Transformations
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems

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