Solving Pdes in C++: Numerical Methods in a Unified Object-Oriented Approach Contributor(s): Shapira, Yair (Author) |
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ISBN: 0898716012 ISBN-13: 9780898716016 Publisher: Society for Industrial and Applied Mathematic OUR PRICE: $118.75 Product Type: Paperback Published: January 1987 |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis |
Dewey: 518.640 |
LCCN: 2005054086 |
Series: Computational Science and Engineering |
Physical Information: 184 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic system. The well-debugged and tested code segments implement the numerical methods efficiently and transparently. Basic and advanced numerical methods are introduced and implemented easily and efficiently in a unified object-oriented approach. It introduces a unified approach for the implementation of complex mathematical objects, such as unstructured mesh, sparse matrix, and multigrid hierarchy, often used in numerical modeling, where the high level of abstraction available in C++ is particularly useful, Included is all the required background in programming, PDEs, and numerical methods, and an elementary background in linear algebra and calculus. Useful exercises and solutions conclude each chapter. |