Solving PDEs in C++: Numerical Methods in a Unified Object-Oriented Approach, Second Edition (Computational Science and Engineering)

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9781611972160: Solving PDEs in C++: Numerical Methods in a Unified Object-Oriented Approach, Second Edition (Computational Science and Engineering)
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In this much-expanded second edition, author Yair Shapira presents new applications and a substantial extension of the original object-oriented framework to make this popular and comprehensive book even easier to understand and use. It 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).

New material in this edition includes new chapters on 3-D nonlinear applications and image processing applications; new sections on cryptography applications; and even more new sections, many including additional algorithms.

The book leads readers through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic system. The high level of abstraction available in C++ is particularly useful in the implementation of complex mathematical objects, such as unstructured mesh, sparse matrix, and multigrid hierarchy, often used in numerical modeling. The well-debugged and tested code segments implement the numerical methods efficiently and transparently in a unified object-oriented approach.

Audience: The book is written for researchers, engineers, and advanced students who wish to increase their familiarity with numerical methods and to implement them using modern programming tools. Solving PDEs in C++, Second Edition can be used as a textbook in courses in C++ with applications, C++ in engineering, numerical analysis, and numerical PDEs at the advanced undergraduate and graduate levels. Because it is self-contained, the book is also suitable for self-study by researchers and students in applied and computational science and engineering.

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This text provides a comprehensive and self-contained guide for the numerical solution of PDEs using C++ for students, engineers and researchers who want to use advanced programming tools to solve problems in applied science. The second edition contains new reader-friendly code to solve nonlinear systems of PDEs in three dimensions.

From the Inside Flap:

“There are dozens of excellent books on C++ and object-oriented programming, but very few of them put the language into the perspective of scientific computing. The introductory part of the present book acts as a language introduction, while the main contents focus on how C++ can be used to implement numerical algorithms. I would say that this is a long-awaited type of textbook in the scientific computing community.” -- Hans Petter Langtangen, Professor, Simula Research Laboratory and University of Oslo, Norway.

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9780898716016: Solving PDEs in C++ (Computational Science and Engineering)

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ISBN 10:  0898716012 ISBN 13:  9780898716016
Publisher: SIAM, Society for Industrial and..., 2006
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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2012. Paperback. Condition: New. 2nd Revised edition. Language: English . Brand New Book. This text provides a comprehensive guide for the numerical solution of PDEs using C++ within an object-oriented approach. The high level of abstraction available in C++ is particularly useful in the implementation of complex mathematical objects, such as unstructured meshes, sparse matrices and multigrid hierarchies, often used in numerical modeling. Assuming only an elementary knowledge of calculus and linear algebra, the reader is given a full introduction to programming, PDEs and numerical methods. The learning process is illuminated further by practical examples alongside exercises and solutions that are found at the end of each chapter. This massively expanded second edition contains a wealth of new material, including sections on cryptography, image processing and solution of nonlinear PDEs, accompanied by new reader-friendly code. This book is ideal for students, engineers and researchers who want to use advanced numerical programming methods to solve problems in applied science and engineering. Seller Inventory # AAN9781611972160

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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2012. Paperback. Condition: New. 2nd Revised edition. Language: English . Brand New Book. This text provides a comprehensive guide for the numerical solution of PDEs using C++ within an object-oriented approach. The high level of abstraction available in C++ is particularly useful in the implementation of complex mathematical objects, such as unstructured meshes, sparse matrices and multigrid hierarchies, often used in numerical modeling. Assuming only an elementary knowledge of calculus and linear algebra, the reader is given a full introduction to programming, PDEs and numerical methods. The learning process is illuminated further by practical examples alongside exercises and solutions that are found at the end of each chapter. This massively expanded second edition contains a wealth of new material, including sections on cryptography, image processing and solution of nonlinear PDEs, accompanied by new reader-friendly code. This book is ideal for students, engineers and researchers who want to use advanced numerical programming methods to solve problems in applied science and engineering. Seller Inventory # AAN9781611972160

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