Partial Differential Equations

Language: English

Published by Society for Industrial and Applied Mathematics,U.S., US, 2005

0898715946 / 9780898715941

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Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.Partial Differential Equations enables readers to deepen their understanding of a topic ubiquitous in mathematics and science and to tackle practical problems. The advent of fast computers and the development of numerical methods have enabled the modern engineer to use a large variety of packages to find numerical approximations to solutions of PDEs. Problems are usually standard and a thorough knowledge of a well-chosen subset of analytical and numerical tools and methodologies is necessary when dealing with real-life problems. When one is dealing with PDEs in practice, it becomes clear that both numerical and analytical treatments of the problem are needed.

Seller Inventory # LU-9780898715941

Title
Partial Differential Equations
Author
J.H.M. Ten Thije Boonkkamp, R.M.M. Mattheij, S.W. Rienstra
Publisher
Society for Industrial and Applied Mathematics,U.S., US
Publication year
2005
Condition
New
Binding
Paperback
Language
English
ISBN 10
0898715946
ISBN 13
9780898715941
Item weight
1,187 grams
Dimensions
17.78 x 3.18 x 24.77 cm

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