Theory and Numerics of Ordinary and Partial Differential Equations

Theory and Numerics of Ordinary and Partial Differential Equations book cover

Theory and Numerics of Ordinary and Partial Differential Equations

Author(s): M. Ainsworth (Editor), J. Levesley (Editor), W. A. Light (Editor), M. Marletta (Editor)

  • Publisher: Oxford University Press
  • Publication Date: 31 Aug. 1995
  • Language: English
  • Print length: 348 pages
  • ISBN-10: 0198511930
  • ISBN-13: 9780198511939

Book Description

This book draws together information previously available only in hard-to-find journals to introduce the most recent research in six key areas of numerical analysis: guaranteed error bounds for ordinary differential equations; computational methods for differential equations; numerical solution of differential-algebraic equations; boundary element methods; perturbation theory for infinite dimensional dynamical systems; and delay differential equations. Excellent up-to-date bibliographies are included, but the essential material is expertly presented to avoid lengthy searches. The research assumes a relatively low level of prerequisite knowledge, making it an important tool for graduate students and researchers in computational mathematics and in applications areas in physics and engineering.

Editorial Reviews

Review

A particularly appealing aspect of this work is the basic uniform methodology for elliptic as well as time-dependent parabolic and hyperbolic PDE's. Much of this material is relatively new having been developed in the last several years ― Mathematics of Computation Vol. 66

From the Back Cover

This book provides an up-to-date account of research in six major areas which are the subject of many of the most exciting new developments in numerical analysis. The level of presentation should be suitable for anyone with a good knowledge of analysis and numerical analysis at a first degree level, including mathematicians and scientists with a mathematical background. Each topic is presented by an acknowledged expert in the field, in a compact form which avoids the need for literature searches.

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