Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

Karel Rektorys

ISBN 10: 0849325528 / ISBN 13: 9780849325526

Edité par CRC Press, 1998

A propos de cet article

nach der Bestellung gedruckt Neuware - Printed after ordering - 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 equationsThe 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. TOC: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.

N° de réf. du vendeur 9780849325526

Détails bibliographiques

• Titre: Solving Ordinary and Partial Boundary Value Problems in Science and Engineering
• Éditeur: CRC Press
• Date de parution: 1998
• Langue: anglais
• ISBN à 10 chiffres: 0849325528
• ISBN à 13 chiffres: 9780849325526
• Reliure: Buch
• État de l'article: Neu

A propos de ce titre

Synopsis

This book provides an elementary, accessible introduction to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and efficient methods of constructing solutions or satisfactory approximations. The author motivates the mathematical theory by introducing useful technical or physical examples and presents special remarks for mathematical readers that demonstrate the possibility of generalizing the results obtained. For non-mathematicians, the author provides functional-analytical results without proofs and refers readers to the literature for further details. Numerous exercises complement each chapter.

À propos de l?auteur

Karel Rektorys