Finite Difference Methods for Ordinary and Partial Differential Equations (Paperback)

Randall J. LeVeque

ISBN 10: 0898716292 / ISBN 13: 9780898716290

Editore: Society for Industrial & Applied Mathematics,U.S., New York, 2007

Paperback. This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book's webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics. This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. The author provides a foundation from which students can approach more advanced topics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780898716290

Riassunto:

Introductory textbook from which students can approach more advance topics relating to finite difference methods.

Informazioni sull?autore: Randall J. LeVeque is a Professor in the Departments of Mathematics and Applied Mathematics at the University of Washington, Seattle.

Dati bibliografici

Titolo: Finite Difference Methods for Ordinary and ...
Casa editrice: Society for Industrial & Applied Mathematics,U.S., New York
Data di pubblicazione: 2007
Legatura: Paperback
Condizione: new