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Solving Pdes in C++: Numerical Methods In a Unified Object-Oriented Approach - Couverture souple

Shapira, Yair

 
9780898716016: Solving Pdes in C++: Numerical Methods In a Unified Object-Oriented Approach
Couverture souple
ISBN 10 : 0898716012 ISBN 13 : 9780898716016
Editeur : Society for Industrial and Applied Mathematics (SIAM), 1987

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

'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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Society for Industrial and Applied Mathematics (SIAM)
Date d'édition
1987
Langue
anglais
ISBN 10 
0898716012
ISBN 13 
9780898716016
Reliure
Broché
Nombre de pages
184
Coordonnées du fabricant
non disponible
Personne responsable
non disponible