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The Method of Weighted Residuals and Variational Principles

The Method of Weighted Residuals and Variational Principles

£69.99

  • Date Published: March 2014
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9781611973235

£ 69.99
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
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  • 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.

    • Illustrates the theory and practice of variational principles in the solution of PDEs
    • Describes simple approximation techniques before moving on to the finite element method for more complex problems
    • Contains detailed information on error bounds
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    Product details

    • Date Published: March 2014
    • format: Paperback
    • isbn: 9781611973235
    • length: 430 pages
    • dimensions: 228 x 151 x 21 mm
    • weight: 0.59kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    Preface to the classics edition
    Preface
    Acknowledgments
    Part I. The Method of Weighted Residuals:
    1. Introduction
    2. Boundary-value problems in heat and mass transfer
    3. Eigenvalue and initial-value problems in heat and mass transfer
    4. Applications to fluid mechanics
    5. Chemical reaction systems
    6. Convective instability problems
    Part II. Variational Principles:
    7. Introduction to variational principles
    8. Variational principles in fluid mechanics
    9. Variational principles for heat and mass transfer problems
    10. On the search for variational principles
    11. Convergence and error bounds
    Author index
    Subject index.

  • Author

    Bruce Finlayson
    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.

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