Computational Partial Differential Equations: Numerical Methods and Diffpack Programming. Lecture notes in computational science and engineering Vol. 2

Langtangen, Hans Petter

ISBN 10: 3540652744 / ISBN 13: 9783540652748

Editore: Springer Verlag, Berlin - Heidelberg - New York, 1999

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XIX, 682 S., Literaturverz. S. 663 - 670, mit zahlr. Abb., 24 cm, Schnitt nachgedunkelt, Name im Vorsatz durchgestrichen, sonst gepflegtes Exemplar. VERSANDKOSTEN WEICHEN AB. . Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet. 682 p.

Codice articolo 20-358

Dati bibliografici

• Titolo: Computational Partial Differential Equations: Numerical Methods and Diffpack Programming. Lecture notes in computational science and engineering Vol. 2
• Editore: Springer Verlag, Berlin - Heidelberg - New York
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 3540652744
• ISBN 13: 9783540652748
• Rilegatura: Hardcover
• Edizione: 1. Auflage.
• Condizione: Sehr gut
• Tipo di libro: Buch

Descrizione articolo

Riassunto

During the last decades there has been a tremendous advancement of com­ puter hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore real­ world applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as weH as in most engineering disciplines, is the ap­ pearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields. Besides the physical application itself, one must master the tools of math­ ematical modeling, numerical methods, as weH as software design and im­ plementation. In addition, physical experiments or field measurements might play an important role in the derivation and the validation of models. This book is written in the spirit of computational sciences as inter-disciplinary activities. Although it would be attractive to integrate subjects like mathe­ matics, physics, numerics, and software in book form, few readers would have the necessary broad background to approach such a text.

Product Description

Book by Langtangen Hans Petter