Solving Ordinary and Partial Boundary Value Problems in Science and Engineering (Applied and Computational Mechanics)

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9780849325526: Solving Ordinary and Partial Boundary Value Problems in Science and Engineering (Applied and Computational Mechanics)
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This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.
Discussions include:

  • ordinary differential equations
  • classical theory of partial differential equations
  • Laplace and Poisson equations
  • heat equation
  • variational methods of solution of corresponding boundary value problems
  • methods of solution for evolution partial differential equations
    The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary.
    Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.
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    About the Author:

    Rektorys, Technical University, Prague, Czech Republic.

    Review:

    "A very nice text...addressed to the non-mathematician." - Ivo Babuska, Professor of Engineering and Mathematics, University of Texas "This book is unusual in that it sits at the intersection of differential equations and numerical analysis, and in this regard it represents a modern approach to the subject. A good discussion" -CHOICE, May 1999

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