Kniha Finite Difference Methods for Ordinary and Partial Differential Equations Randall LeVeque

Finite Difference Methods for Ordinary and Partial Differential Equations

Steady-State and Time-dependent Problems

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: 50 % šance
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This book introduces finite difference methods for both ordinary differential equations (ODEs) and p...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2007
Stránek
341
EAN
9780898716290
ISBN
0898716292
Enbook ID
04176208
Hmotnost
638
Rozměry
178 x 254 x 19

Kompletní popis

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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