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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Leveque, Randall J.

Paperback

General Mathematics

Currently unavailable to order

ISBN10: 0898716292
ISBN13: 9780898716290
Publisher: Cambridge
Published: Sep 6 2007
Pages: 184
Weight: 1.40
Height: 0.70 Width: 7.00 Depth: 9.90
Language: English
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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