Solving ordinary and partial boundary value problems in science and engineering
Author(s)
Bibliographic Information
Solving ordinary and partial boundary value problems in science and engineering
（CRC series in computational mechanics and applied analysis）
CRC Press, c1999
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Note
Includes bibliographical references (p. 197) and index
Description and Table of Contents
Description
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.
Table of Contents
Ordinary Differential Partial Equations with Boundary Conditions - Eigenvalue Problems. Partial Differential Equations - Classical Approach. Variational Methods of Solutions of Elliptic Boundary Value Problems - Generalized Solutions and Their Approximations - Weak Solutions. The Finite-Difference Method for Partial Differential Equations - The Method of Discretization in Time (the Rothe Method). The Fourier Method.
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