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The Method of Weighted Residuals and Variational Principles Click on picture to view full-size image The Method of Weighted Residuals and Variational Principles

Bruce A. Finlayson



Classics in Applied Mathematics 73

This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems.

The Method of Weighted Residuals and Variational Principles
describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles;
illustrates how to use simple methods to find approximate solutions and how to use the finite element method for more complex problems; and
provides detailed information on error bounds.

Problem sets make this book ideal for self-study or as a course text.



Audience
Engineers and scientists who need to solve differential equations and want to have a deeper understanding of some of the available methods, particularly in fluid mechanics, will find this book useful. Instructors of graduate-level courses that cover approximate and numerical solutions can use it as a textbook.


About the Author
Bruce A. Finlayson is Rehnberg Professor Emeritus of Chemical Engineering at the University of Washington. He was a pioneer in the use of computers in chemical engineering education and has received numerous awards from the Chemical Engineering Division of the American Society for Engineering Education. He is the author of four books and a member of the National Academy of Engineering. He served as the President of the American Institute of Chemical Engineers in 2000.


Contents
Preface to the Classics Edition;
Preface;
Acknowledgments;

Part I: The Method of Weighted Residuals;
Chapter 1: Introduction;
Chapter 2: Boundary-Value Problems in Heat and Mass Transfer;
Chapter 3: Eigenvalue and Initial-Value Problems in Heat and Mass Transfer;
Chapter 4: Applications to Fluid Mechanics;
Chapter 5: Chemical Reaction Systems;
Chapter 6: Convective Instability Problems;

Part II: Variational Principles;
Chapter 7: Introduction to Variational Principles;
Chapter 8: Variational Principles in Fluid Mechanics;
Chapter 9: Variational Principles for Heat and Mass Transfer Problems;
Chapter 10: On the Search for Variational Principles;
Chapter 11: Convergence and Error Bounds;

Author Index;
Subject Index.


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Keywords
Variational principles, error bounds, Galerkin Method, finite element method, transport problems, approximate solutions

2014 / xiv +412 pages / Softcover / 978-1-611973-23-5
List Price $99.00 / SIAM Member Price $69.30 / Order Code CL73
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Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)