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Finite Difference Methods for Ordinary and Partial Differential Equations: Stea,

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Item specifics

Condition
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages. See the seller’s listing for full details and description of any imperfections. See all condition definitionsopens in a new window or tab
Seller Notes
“Used book in good condition. Shows typical wear. Quick shipping. Satisfaction guaranteed!”
Book Title
Finite Difference Methods for Ordinary and Partial Differential,
Topic
Reference
Narrative Type
Reference
Genre
N/A
Intended Audience
N/A
ISBN
9780898716290

About this product

Product Identifiers

Publisher
Society for Industrial AND Applied Mathematics
ISBN-10
0898716292
ISBN-13
9780898716290
eBay Product ID (ePID)
61805358

Product Key Features

Number of Pages
354 Pages
Publication Name
Finite Difference Methods for Ordinary and Partial Differential Equations : Steady-State and Time-Dependent Problems
Language
English
Subject
Differential Equations / General, Numerical Analysis, Mathematical Analysis
Publication Year
2007
Type
Textbook
Author
Randall J. Leveque
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
0.7 in
Item Weight
22.1 Oz
Item Length
9.9 in
Item Width
7 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2007-061732
Dewey Edition
22
Dewey Decimal
515/.35
Table Of Content
Preface Part I: Boundary Value Problems and Iterative Methods. Chapter 1: Finite Difference Approximations Chapter 2: Steady States and Boundary Value Problems Chapter 3: Elliptic Equations Chapter 4: Iterative Methods for Sparse Linear Systems Part II: Initial Value Problems. Chapter 5: The Initial Value Problem for Ordinary Differential Equations Chapter 6: Zero-Stability and Convergence for Initial Value Problems Chapter 7: Absolute Stability for Ordinary Differential Equations Chapter 8: Stiff Ordinary Differential Equations Chapter 9: Diffusion Equations and Parabolic Problems Chapter 10: Advection Equations and Hyperbolic Systems Chapter 11: Mixed Equations Appendix A: Measuring Errors Appendix B: Polynomial Interpolation and Orthogonal Polynomials Appendix C: Eigenvalues and Inner-Product Norms Appendix D: Matrix Powers and Exponentials Appendix E: Partial Differential Equations Bibliography Index.
Synopsis
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., 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.
LC Classification Number
QA431 .L548 2007

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