ROW methods adapted to a cheap Jacobian

DOI10.1016/S0168-9274(00)00040-4zbMath0982.65085OpenAlexW1995479130MaRDI QIDQ5932826

Markus Hoschek, Michael Günther, Rüdiger Weiner

Publication date: 20 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00040-4

zbMATH Keywords

numerical examplesButcher seriescheap Jacobian informationcircuit simulationRosenbrock-Wanner methodsstability inverter chain

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)

Uses Software

• RODAS

Cites Work

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• Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
• A study of Rosenbrock-type methods of high order
• CAD-based electric-circuit modeling in industry. II: Impact of circuit configurations and parameters
• ROW methods adapted to electric circuit simulation packages
• Simulating digital circuits numerically -- a charge-oriented ROW approach
• Solving Ordinary Differential Equations I
• A Class of Runge-Kutta-Rosenbrock Methods for Solving Stiff Differential Equations
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations

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