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Recent developments in numerical integration of differential equations
Author(s) -
Mathis Wolfgang
Publication year - 1994
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660070205
Subject(s) - ode , ordinary differential equation , differential algebraic equation , mathematics , differential equation , numerical methods for ordinary differential equations , numerical integration , integrating factor , point (geometry) , computer science , mathematical analysis , geometry
In this paper we demonstrate the use of differential equations by means of an example from network analysis and show that differential/algebraic equations (DAE), rather than explicit ordinary differential equations (ODE), are more suitable for the description of electrical systems and networks. The main ideas of numerical integration of ODEs are presented. We consider this material from the point of view of replacing the ODE by a difference equation (DE). In particular, the relationship between the ODE and the associated DE is discussed. In the last Section the application of integration methods for OEDs upon DAEs and its difficulties are discussed. The paper is intended as a review; but a few new results are also included.