
2012 / xxxii + 776 / Softcover / ISBN 9781611972160 / List Price $143.50 / SIAM Member Price $100.45 / Order Code CS09
Keywords: PDE, C++, objectoriented programming, numerical method
Contents
Preface
Index
Sample Chapter
"The present book therefore devotes more than 150 pages to introduce the reader to object oriented program development. In this vein, the languages C and C++ are exposed as are data structures and principles of object oriented programming. This is accomplished in a thoughtful way . . . . An essential part concerns the proper dealing with the meshes, including mesh refinement. . . . Once the reader has mastered the material, he will be in a good position to construct proper models, discretize the equation, and develop a professional code for quite a number of problems."
 H. Muthsam, Wien
Monatsch Math (2014) 174:163–168
In this muchexpanded second edition, author Yair Shapira presents new applications and a substantial extension of the original objectoriented 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). The complete code is available and explained in detail in the text or the appendix, tested on GNU, and easily adapted to other compilers as well.
New material in this edition includes
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 welldebugged and tested code segments implement the numerical methods efficiently and transparently in a unified objectoriented 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++ 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 selfcontained, the book is also suitable for selfstudy by researchers and students in applied and computational science and engineering.
About the Author
Yair Shapira is engaged in research in the Computer Science Department, TechnionIsrael Institute of Technology, Haifa, Israel. His main research interests are multigrid, preconditioning, and numerical methods. He is author of the books MatrixBased Multigrid: Theory and Applications, Second Edition (Springer, 2008) and Mathematical Objects in C++: Computational Tools in a Unified ObjectOriented Approach (CRC, 2009).
This second edition replaces Solving PDEs in C++: Numerical Methods in a Unified ObjectOriented Approach (CS01, 9780898716016), which is no longer available.
ISBN 9781611972160