Partial Differential Equations: Modeling, Analysis, Computation

Name: Partial Differential Equations: Modeling, Analysis, Computation
Brand: Orient Blackswan Pvt Ltd
SKU: 9789386235411
Price: 1400.0 INR
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by R. M. M. Mattheij, S. W. Rienstra and J. H. M. ten Thije Boonkkamp

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ISBN13: 9789386235411
Binding: Paperback
Subject: N/A
Publisher: Orient Blackswan Pvt Ltd
Publisher Imprint: Orient Blackswan Pvt Ltd
Publication Date: January 1, 2017
Pages: 704
Original Price: INR 2000.0
Language: English
Edition: N/A
Item Weight: 1140 grams
BISAC Subject(s): General

About The Book

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 componentâ€”modelingâ€”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.
The book 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.
This comprehensive book is intended for graduate students in applied mathematics, engineering, and physics and may be of interest to advanced undergraduate students. Mathematicians, scientists, and engineers also will find the book useful.

Keywords: partial differential equations, modelling, difference methods, perturbation methods, computational methods

About The Author

R. M. M. Mattheij is Chair of Scientific Computing in the Department of Mathematics and Computer Science at Technische Universiteit Eindhoven, The Netherlands.

S. W. Rienstra is on the faculty of the Department of Mathematics and Computer Science at Technische Universiteit Eindhoven, The Netherlands.

J. H. M. ten Thije Boonkkamp is on the faculty of the Department of Mathematics and Computer Science at Technische Universiteit Eindhoven, The Netherlands.

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