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Numerical Methods for Partial Differential Equations by William F. Ames, Werner Rheinboldt, Alan Jeffrey

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**About this book :- **
** Numerical Methods for Partial Differential Equations ** written by
** William F. Ames, Werner Rheinboldt, Alan Jeffrey **.

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation. It cover the following Key Features:

* Material on finite elements and finite differences have been merged, and now constitute equal partners

* Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods

* References have been updated, and reflect the additional material

* Self-contained nature of the Second Edition has been maintained

* Very suitable for PDE courses

**Book Detail :- **
** Title: ** Numerical Methods for Partial Differential Equations
** Edition: ** 2nd
** Author(s): ** Alan Jeffrey
** Publisher: ** Elsevier Inc, Academic Press Inc
** Series: ** Computer Science and Applied Mathmatics
** Year: ** 1977
** Pages: ** 372
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-0-12-056760-7,0120567601
** Country: ** UK

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**About Author :- **
**Alan Jeffrey**, University of Newcastle, NE1 7RU Newcastle upon Tyne, United Kingdom.

Alan Jeffrey Giacomin who Ontario, Canada (1959) is a professor of Chemical Engineering at Queen's University in Kingston, Ontario and cross-appointed in the Department of Mechanical & Materials Engineering. He has been Editor-In-Chief of Physics of Fluids since 2016.[2] He holds the Tier 1 Canada Research Chair in Rheology from the Canadian government's Natural Sciences and Engineering Research Council.[3] Since 2017, Giacomin has been President of the Canadian Society of Rheology.

Giacomin graduated from St. Thomas High School (Quebec) in Pointe-Claire, Quebec. He later went to Queen's University and completed a B.Sc. Honours in chemical engineering in 1981. He then completed a M.Sc. in chemical engineering in 1983 at Queen's University. Following this, Giacomin joined Professor John Dealy's group at McGill University and completed a Ph.D. in chemical engineering in 1987.

He has been a faculty member in Mechanical Engineering at Texas A&M University and at the University of Wisconsin-Madison. At the University of Wisconsin-Madison, he directed the Rheology Research Center for 20 years. He has held visiting professorships in North America, Europe, and Asia at: Université de Sherbrooke, McGill University, École Polytechnique Fédérale de Lausanne, École des Mines de Paris, the National University of Singapore, Chung Yuan University, National Yunlin University of Science and Technology, University of Crete, Shandong University, Shanghai University, Peking University and King Mongkut's University of Technology North Bangkok.

He has served The Society of Rheology as Associate Editor for Business for the Journal of Rheology.[2] In October 2016 he gave the keynote lecture for Rheology of Complex Fluids at the 66th Annual Canadian Chemical Engineering Conference.[4] Giacomin holds Professional Engineer status in Wisconsin and Ontario.[4]

**William F. Ames **, University of Iowa, Iowa City, Iowa, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia

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** • Download PDF Handbook of Mathematical Formulas and Integrals (4E) by Alan Jeffrey, Hui Hui Dai **

** • Download PDF Matrix Operations for Engineers and Scientists: An Essential Guide in Linear Algebra by Alan Jeffrey **

** • Download PDF Numerical Methods for Partial Differential Equations by William F. Ames, Werner Rheinboldt, Alan Jeffrey **

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**Book Contents :- **
** Numerical Methods for Partial Differential Equations ** written by
** William F. Ames, Werner Rheinboldt, Alan Jeffrey **
cover the following topics.

1. Fundamentals

2. Parabolic equations

3. Elliptic equations

4. Hyperbolic equations

5. Special topics

6. Weighted residuals and finite elements

Author Index

Subject Index

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