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Numerical Solution of Partial Differential Equations [Paperback]

K. W. Morton , D. F. Mayers
3.5 out of 5 stars  See all reviews (2 customer reviews)


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Paperback, January 27, 1995 --  
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There is a newer edition of this item:
Numerical Solution of Partial Differential Equations: An Introduction Numerical Solution of Partial Differential Equations: An Introduction 3.5 out of 5 stars (2)
$57.00
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Book Description

January 27, 1995 0521429226 978-0521429221
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.


Editorial Reviews

Review

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

Book Description

Second edition of a highly succesful graduate text giving a complete introduction to partial differential equations and numerical analysis. Revised to include new sections on finite volume methods, modified equation analysis, multigrid, and conjugate gradient methods. The new text brings the reader up-to-date with the latest theoretical and industrial developments. --This text refers to the Digital edition.

Product Details

  • Paperback: 239 pages
  • Publisher: Cambridge University Press (January 27, 1995)
  • Language: English
  • ISBN-10: 0521429226
  • ISBN-13: 978-0521429221
  • Product Dimensions: 9 x 6 x 0.6 inches
  • Shipping Weight: 13.1 ounces
  • Average Customer Review: 3.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,680,670 in Books (See Top 100 in Books)

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3.5 out of 5 stars
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2 of 2 people found the following review helpful
3.0 out of 5 stars Newer is not necessarily better. June 20, 2010
Format:Paperback
This book could be viewed as an abridged/updated version of the classic earlier text by the author. However, it has significantly less content than the earlier book. I'm not sure what to make of this book. No overall consistent theme. Some topics treated in an ad-hoc manner. The book is ok if you already know the material, but I can see that it would be difficult and confusing for a beginner in this field.

It appears to me that this book was written in order to remove all of the rigorous mathematical details of the Richtmyer and Morton book on Finite Difference Methods. I would not use this as a text for any course in numerical PDE. As strange as this may sound, books on CFD tend to do a better job at numerical analysis but a poor job at CFD! I would shop around until you find something you feel comfortable with. This one just doesn't do it for me.
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21 of 30 people found the following review helpful
4.0 out of 5 stars Good Starter March 7, 2001
Format:Paperback
This book is a good starter for understanding how to numerically solve (Partial Differential Equations)PDE's. The chapters are arranged in an orderly manner and hints are provided then and there so that you wont need to switch back and forth between them. I myself a researcher in the field of Finite Element Analysis, which extensively involves PDE's for implementing the Finite element model. A thorough knowlegde of PDE's and the nature of their solutions is very important for such fields. This book is definitely the one which describes the nature of PDE's solutions and their interpretation, boundedness and applicability.
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