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Theory and Numerics of Ordinary and Partial Differential Equations : Advances in Numerical Analysis - M. Ainsworth

Theory and Numerics of Ordinary and Partial Differential Equations

Advances in Numerical Analysis

Hardcover

Published: 20th July 1995
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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 of differential-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 graduate students and researchers in computational mathematics and in application areas in physics and engineering. This book is intended for research in computational mathematics and in its application area in physics and engineering.

`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

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

ISBN: 9780198511939
ISBN-10: 0198511930
Series: Advances in Numerical Analysis
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 346
Published: 20th July 1995
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.3  x 2.4
Weight (kg): 0.65