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.
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Yair Shapira is engaged in research in the Computer Science Department, Technion – Israel Institute of Technology, Haifa, Israel. His main research interests are multigrid, preconditioning and numerical methods. He is author of the books Matrix-Based Multigrid: Theory and Applications, 2nd Edition (2008) and Mathematical Objects in C++: Computational Tools in a Unified Object-Oriented Approach (2009).
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Paperback. Etat : New. Second Edition. 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. More new sections, many including additional algorithms. N° de réf. du vendeur LU-9781611972160
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Kartoniert / Broschiert. Etat : New. Über den AutorYair Shapira is engaged in research in the Computer Science Department, Technion - Israel Institute of Technology, Haifa, Israel. His main research interests are multigrid, preconditioning and numerical methods. He is . N° de réf. du vendeur 904511739
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