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Numerical Solution of Partial Differential Equations: An Introduction [Paperback]

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

11 April 2005
This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.

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Numerical Solution of Partial Differential Equations: An Introduction + Numerical Solution of Partial Differential Equations: Finite Difference Methods 3rd Edition (Oxford Applied Mathematics and Computing Science Series)
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Product details

  • Paperback: 294 pages
  • Publisher: Cambridge University Press; 2 edition (11 April 2005)
  • Language: English
  • ISBN-10: 0521607930
  • ISBN-13: 978-0521607933
  • Product Dimensions: 15.2 x 1.6 x 22.8 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 832,757 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Review

' … attractive text … very clear and supported by many illuminating figures. Therefore, the book is suitable for a course for applied mathematicians or engineers at the advanced undergraduate level.' Math. Meth. Oper. Res.

Book Description

The 2005 second edition of a highly successful 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.

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Most Helpful Customer Reviews
3 of 3 people found the following review helpful
5.0 out of 5 stars Brilliant! 22 July 2006
Format: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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Amazon.com: 3.5 out of 5 stars  2 reviews
2 of 2 people found the following review helpful
3.0 out of 5 stars Newer is not necessarily better. 20 Jun 2010
By A. I. Haque - Published on Amazon.com
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.
21 of 30 people found the following review helpful
4.0 out of 5 stars Good Starter 8 Mar 2001
By Sathya. Kaliyamoorthy - Published on Amazon.com
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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