Theory and Numerics of Ordinary and Partial Differential Equations

Hardcover | April 30, 1999

byM. Ainsworth, J. Levesley, W. A. Light

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This book surveys the most recent research in six key areas related to numerical solutions of differential equations. It covers guaranteed error bounds for ordinary differential equations; an introduction to computational methods for differential equations; numerical solution ofdifferential-algebraic equations, boundary element methods; and perturbation theory for infinite dimensional dynamical systems. It draws together a method that is currently only available in journals, introducing the reader to important current research. This book is written at a level for graduatestudents and researchers in computational mathematics and in application areas in physics and engineering.

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From Our Editors

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 scienti...

From the Publisher

This book surveys the most recent research in six key areas related to numerical solutions of differential equations. It covers guaranteed error bounds for ordinary differential equations; an introduction to computational methods for differential equations; numerical solution ofdifferential-algebraic equations, boundary element methods...

W. A. Light, Professor, University of Leicester.

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Format:HardcoverDimensions:346 pages, 9.21 × 6.14 × 0.1 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198511930

ISBN - 13:9780198511939

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Table of Contents

George F. Corliss: Guaranteed Error Bounds for Ordinary Differential EquationsKenneth Eriksson, Don Estap, Peter Hansbo and Claes Johnson: Introduction to Computational Methods for Differential EquationsLinda R. Petzold: Numerical Solution of Differential-Algebraic EquationsIan H. Sloan: Boundary Element MethodsAndrew Stuart: Perturbation Theory for Infinite Dimensional Dynamical SystemsM. Zennaro: Delay Differential Equations: Theory and Numerics

From Our Editors

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.

Editorial Reviews

`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