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Numerical Solution of Partial Differential Equations
  
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Numerical Solution of Partial Differential Equations (Hardcover)

by K. W. Morton (Author), D. F. Mayers (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Product details

  • Hardcover: 239 pages
  • Publisher: Cambridge University Press; illustrated edition edition (20 Oct 1994)
  • Language English
  • ISBN-10: 0521418550
  • ISBN-13: 978-0521418553
  • Product Dimensions: 23.6 x 15.7 x 1.9 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon.co.uk Sales Rank: 3,868,158 in Books (See Bestsellers in Books)

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  • See Complete Table of Contents

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'… recommended to every student in applied mathematics and numerical analysis.' Numerical Algorithms


Product Description

Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasise finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations; finite element, finite volume and spectral methods are discussed briefly to see how they relate to the main theme. Stability is treated clearly and rigorously using maximum principles, energy methods, and discrete Fourier analysis. Methods are described in detail for simple problems, accompanied by typical graphical results. A key feature is the thorough analysis of the properties of these methods. Plenty of examples and exercises of varying difficulty are supplied. The book is based on the extensive teaching experience of the authors, who are also well-known for their work on practical and theoretical aspects of numerical analysis. It will be an excellent choice for students and teachers in mathematics, engineering and computer science departments seeking a concise introduction to the subject.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars Brilliant!, 22 Jul 2006
By Prof Dr Thomas Sonar - See all my reviews
(REAL NAME)   
This review is from: Numerical Solution of Partial Differential Equations: An Introduction (Paperback)
K.W. (Bill) Morton was my PhD advisor (centuries ago) and I learned to appreciate his unique focus towards numerial methods. In this book, which was already *very* successful in its first edition, the authors succeed in giving a beautiful introduction into numerical methods for PDEs. I used the book in courses for engineers and mathematicians and can only confirm that it guides you very, very well. Buy it!
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