Items related to Introduction to Partial Differential Equations with...
Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) - Hardcover
Synopsis
At the heart of partial differential equations is an unchanging core of material, but the subject is constantly expanding and evolving. This advanced textbook reference is an introduction to partial differential equations covering the traditional subjects of the heat equation, wave equation and Laplace equation in the traditional manner using the method of separation of variables.
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Review
"Cooper's book stands out among a host of PDE works. It not only adequately treats traditional core partial differential equation methods but also integrates analytic solutions with numerical schemes through the implementation of MATLAB routines. As an application-oriented book that provides the basic definitions, theorems, and analyses of the solutions, it contains the core topics needed for a sound background in partial differential equations.... One of the book's excellent features is the availability of illustrative and challenging problems, some of which have been cast in the form of MATLAB projects. Such features undoubtedly make this a suitable work for a laboratory component of an introductory PDEs course. Recommended. Undergraduates through faculty." ―Choice
From the Author
Goals of the text and information about errata.
The field of partial differential equations has evolved greatly over the last 50 years. Many types of nonlinear problems are better understood, and the advent of convenient, powerful, computational tools has increased the importance of numerical methods. However, the usual first course in partial differential equations treats only linear boundary value problems with the technique of separation of variables.
The goal of this text is to provide a wider, more varied, first view of the subject, and to take advantage of the ease in programming of MATLAB and its excellent graphics.
In addition to the standard core material, I have introduced some nonlinear problems and numerical techniques. As each equation is discussed, an appropriate finite difference scheme is proposed. These schemes are implemented in MATLAB mfiles available on my web-page at the mathematics department of the University of Maryland, and on the publisher's web page.
On my web-page you will find an abbreviated table of contents and a sample of some of the MATLAB graphics.
I hope that the misprints will not cause great inconvenience. A list of errata is currently available in pdf and postscript formats on my web-page and on the publisher's web-page under "Additional Resources." It will be updated frequently.
I would appreciate receiving word of misprints by e-mail or regular mail. I welcome suggestions for improvements to the text or to the MATLAB codes.
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