Method of Weighted Residuals and Variational Principles

Author: Bruce A. Finlayson Series: Classics in Applied Mathematics

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

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Summary

Description

Approximation techniques and variational principles represent vital tools for solving partial differential equations. This classic text introduces the reader to such solution methods at a level suitable for novices, before progressing through increasingly challenging problems. The book describes variational principles, including how to find them, and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, how to use the finite element method for more complex problems, and how to ascertain error bounds. Applications to fluid mechanics and heat and mass transfer problems are emphasized throughout. With problem sets included, this book is ideal as both a resource for instructors of graduate-level courses on numerical analysis, and as a self-study guide for scientists and engineers.

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.