C. W. Gear

Research output: Chapter in Book/Report/Conference proceedingConference contribution

33 Scopus citations


In this paper we study the numerical solution of the differential/algebraic systems F(t, y, y prime ) equals 0. Many of these systems can be solved conveniently and economically using a range of ODE methods. Others can be solved only by a small subset of ODE methods, and still others present insurmountable difficulty for all current ODE methods. We examine the first two groups of problems and indicate which methods we believe to be best for them. Then we explore the properties of the third group which cause the methods to fail. A reduction technique described allows systems to be reduced to ones which can be solved. It also provides a tool for the analytical study of the structure of systems.

Original languageEnglish (US)
Title of host publicationNATO ASI Series, Series F
Subtitle of host publicationComputer and Systems Sciences
PublisherSpringer Verlag
Number of pages12
ISBN (Print)3540128875, 9783540128878
StatePublished - 1984

Publication series

NameNATO ASI Series, Series F: Computer and Systems Sciences

All Science Journal Classification (ASJC) codes

  • General Engineering


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