Finite Difference Methods for Ordinary and Partial Differential Equations by Randall J. LeVeque
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Finite Difference Methods for Ordinary and Partial Differential Equations
By Randall J. LeVeque

Finite Difference Methods for Ordinary and Partial Differential Equations

Steady-state and Time-dependent Problems

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Format: Paperback

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Finite Difference Methods for Ordinary and Partial Differential Equations by Randall J. LeVeque

Book Description

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.

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Book Details

ISBN: 9780898716290
ISBN-10: 0898716292
Format: Paperback
(247mm x 174mm x 18mm)
Pages: 184
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 6-Sep-2007
Country of Publication: United States

Books By Author Randall J. LeVeque

Finite Volume Methods for Hyperbolic Problems by Randall J. LeVeque Finite Volume Methods for Hyperbolic Problems, Paperback (August 2002)

An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.

» View all books by Randall J. LeVeque

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Author Biography - Randall J. LeVeque

Randall J. LeVeque is a Professor in the Departments of Mathematics and Applied Mathematics at the University of Washington, Seattle.

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