ROW methods adapted to electric circuit simulation packages

DOI10.1016/S0377-0427(97)00043-5zbMath0889.65071MaRDI QIDQ1372032

Michael Günther, Markus Hoschek

Publication date: 6 November 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear systemsstiff systemsButcher seriesRosenbrock-Wanner methodsJacobian matrixelectric circuit simulation packages

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Technical applications of optics and electromagnetic theory (78A55) Analytic circuit theory (94C05) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales, Design of High-Order Decoupled Multirate GARK Schemes, Multirate timestepping methods for hyperbolic conservation laws, Implicit multirate GARK methods, ROW methods adapted to a cheap Jacobian, A Class of Multirate Infinitesimal GARK Methods, Stability for ROW‐methods adapted to circuit simulation, A multirate W-method for electrical networks in state-space formulation

Uses Software

• Matlab
• RODAS
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

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
• Classification and numerical simulation of electric circuits
• Parallel one-step methods with minimal parallel stages
• The MATLAB ODE Suite
• Solving Ordinary Differential Equations I
• Rosenbrock Methods using few LU-Decompositions