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Download Finite Difference Schemes and Partial Differential Equations fb2

by John Strikwerda
Download Finite Difference Schemes and Partial Differential Equations fb2
  • Author:
    John Strikwerda
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    SIAM: Society for Industrial and Applied Mathematics; 2 edition (November 30, 2004)
  • Pages:
    450 pages
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    1438 kb
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Numerical Partial Differential Equations: Finite Difference Methods (Texts . John Strikwerda is Professor in the Department of Computer Sciences at the University of Wisconsin, Madison.

In numerical analysis, finite-difference methods (FDM) are discretizations used for solving differential equations by approximating them with difference equations that finite differences approximate the derivatives.

Strikwerda provides a good introduction to the theory of consistency, stability, and convergence of finite difference schemes. Some books skimp on these topics and they really shouldn’t

Strikwerda, John C, 1947-Finite difference schemes and partial . 1 Hyperbolic Partial Differential Equations1. 1 Overview of Hyperbolic Partial Differential Equations1. 2 Boundary Conditions1

oceedings{DS, title {Finite Difference Schemes and Partial Differential Equations. author {John C. Strikwerda}, year {1989} }. John C. Strikwerda.

Strikwerda, John C. 1947- Verfasser (DE-588)131985205.

Автор: John Strikwerda Название: Finite Difference Schemes and Partial . Elliptic partial differential equations and difference schemes; 13.

This book provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. Originally published in 1989, its objective remains to clearly present the basic methods necessary to perform finite difference schemes and to understand the theory underlying these schemes. This is one of the few texts in the field to not only present the theory of stability in a rigorous and clear manner but also to discuss the theory of initial-boundary value problems in relation to finite difference schemes. In this updated edition the notion of a stability domain is now included in the definition of stability and is more prevalent throughout the book. The author has also added many new figures and tables to clarify important concepts and illustrate the properties of finite difference schemes.

It is normal.
This book deals with the broad range of PDE problems with wonderful numerical algorithms.

I was crushed on the 1st edition because it was really well-balanced (i.e.,just necessary math but full coverage of real world interests) and well-organized book.

This book (the 2nd edition) includes more pictures and examples which help the reader to undersand the important concepts with ease.

Sometimes, the brief sentences seem to be too concise to the fist reader, but that is not true.

Once the reader understand the previous stuff, he or she does not need to look other books to understand the next stuff.

(Of cousre, this claim might not be applied to undergrads, because this book is inteneded to the first year grads. See preface.)

This book can be used as a text book in math or computer science class, but to engineers like me, this book is amzing even to the researchers who are closely got involved with physical modeling or simulation.

It is very difficult to meet good people, and it seems to be lucky if we meet those kinds of people.

This is also true for us to meet well-written books.

I feel I am very lucky to find this book.
The book was in perfect condition for a great price. Exactly what I expected.