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The method of weighted residuals and variational principles

By: Material type: TextTextSeries: Classics in Applied Mathematics Number 73Publication details: Philadelphia Society for Industrial and Applied Mathematics 2014Description: xxii, 412 pISBN:
  • 9781611973235
Subject(s): DDC classification:
  • 515.35 F4M3
Summary: 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. (http://www.cambridgeindia.org/showbookdetails1.asp?ISBN=9781611973235&category_id=718)
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1375 (0 Floor, East Wing) Non-fiction General Stacks 515.35 F4M3 (Browse shelf(Opens below)) Available 188520

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.
(http://www.cambridgeindia.org/showbookdetails1.asp?ISBN=9781611973235&category_id=718)

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