Classification and numerical simulation of electric circuits
type: Item
instance of: scholarly article
title: Classification and numerical simulation of electric circuits
zbMATH Open document ID: 0761.65059
author: Wilfried Kampowsky
author: Peter Rentrop
author: Walter Schmidt
published in: Surveys on Mathematics for Industry
publication date: 1993-01-17T00:00:00Z
review text: In most electric circuits simulation packages the modified nodal voltage analysis is the basis for the mathematical modeling. This approach leads to a system of implicit ordinary differential equations which are given in evaluated form at discrete time steps. An implicit differential equation introduces new theoretical and numerical problems like the index or the requirement of consistent initial values. The authors present a strategy for the computation of a stable periodic solution of an oscillator. The limit cycle is obtained from a two-point boundary value problem, which is solved by multiple shooting techniques.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 97593
zbMATH Keywords: differentiable-algebraic equations
zbMATH Keywords: index classification
zbMATH Keywords: electric circuits simulation
zbMATH Keywords: implicit differential equation
zbMATH Keywords: periodic solution
zbMATH Keywords: oscillator
zbMATH Keywords: limit cycle
zbMATH Keywords: multiple shooting
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 97593