Integration schemes for highly oscillatory DAEs with applications to circuit simulation

DOI10.1016/S0377-0427(97)00042-3zbMath0889.65073MaRDI QIDQ1372053

Christian Penski, Georg Denk

Publication date: 2 June 1998

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

zbMATH Keywords

numerical examplesoscillatory solutionscircuit simulationsystems of differential algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Analytic circuit theory (94C05)

Related Items (2)

DAEs in Circuit Modelling: A Survey ⋮ Computation of Periodic Solutions of Differential-Algebraic Equations in the Neighborhood of Hopf Bifurcation Points

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Cites Work

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• Classification and numerical simulation of electric circuits
• Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation
• Solving Ordinary Differential Equations I
• Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
• A modified numerov integration method for second order periodic initial-value problems

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