Solving Ordinary and Partial Boundary Value Problems in Science and Engineering : Applied and Computational Mechanics - Karel Rektorys

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Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

By: Karel Rektorys

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Hardcover | 20 October 1998 | Edition Number 1

At a Glance

Hardcover
226 Pages

Dimensions(cm)
23.4 x 15.6 x 1.42

Hardcover

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This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.
Discussions include:

ordinary differential equations

classical theory of partial differential equations

Laplace and Poisson equations

heat equation

variational methods of solution of corresponding boundary value problems

methods of solution for evolution partial differential equations
The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary.
Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.

Industry Reviews

"A very nice text...addressed to the non-mathematician." - Ivo Babuska, Professor of Engineering and Mathematics, University of Texas "This book is unusual in that it sits at the intersection of differential equations and numerical analysis, and in this regard it represents a modern approach to the subject. A good discussion" -CHOICE, May 1999

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Introduction	p. 1
Ordinary Differential Equations with Boundary Conditions; Eigenvalue Problems	p. 5
Partial Differential Equations: Classical Approach	p. 55
Variational Methods of Solution of Elliptical Boundary Value Problems; Generalized Solutions and Their Approximations; Weak Solutions	p. 85
The Finite-Difference Method for Partial Differential Equations; The Method of Discretization in Time (the Rothe Method)	p. 155
The Fourier Method	p. 183
References	p. 197
Index	p. 199
Table of Contents provided by Blackwell. All Rights Reserved.

Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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