An Introduction to Scientific Computing

Twelve Computational Projects Solved with MATLAB

Authors: Danaila, I., Joly, P., Kaber, S.M., Postel, M.

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  • ISBN 978-0-387-49159-2
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Softcover $64.95
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  • ISBN 978-1-4419-2161-1
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About this Textbook

This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in the subject of numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods and wavelets).

The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers.

Reviews

From the reviews:

"In An Introduction to Scientific Computing, the authors present approaches to the numerical solution of problems drawn from a variety of applications. … This is a graduate-level introduction and the pace is brisk. … This is a strong text on scientific computing for advanced students in applied mathematics. … the book is most appropriate for students with some prior experience in scientific computing … ." (William J. Satzer, MathDL, February, 2007)

"The book is based on material offered by the authors at Universite Pierre et Marie Curie (Paris, France) and different engineering schools. It is intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It may also be used as a reference for researchers and practicing engineers. Since different possible levels of each project are suggested, the text can be used to propose assignments at different graduate levels." (I. N. Katz, Zentralblatt MATH, Vol. 1119 (21), 2007)

"An Introduction to Scientific Computing plunges into solving PDEs by numerical approximation. … the book is an attempt to completely discuss numerical issues for reasonably complex problems at the level of a graduate textbook. A project-based approach is used. … Overall, this is a pleasing and useful companion to more complete expositions of the topic. … If you’re preparing advanced students for a workshop, or organizing a numerical analysis club for the semester, then the book is perfect." (Sorin Mitran, SIAM Review, Vol. 50 (1), 2008)


Table of contents (7 chapters)

  • Numerical Approximation of Model Partial Differential Equations

    Pages 1-32

  • Solving an Advection-Diffusion Equation by a Finite Element Method

    Pages 85-109

  • Elasticity: Elastic Deformation of a Thin Plate

    Pages 151-164

  • Geometrical Design: Bézier Curves and Surfaces

    Pages 193-212

  • Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem

    Pages 213-233

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-0-387-49159-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $64.95
price for USA
  • ISBN 978-0-387-30889-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $64.95
price for USA
  • ISBN 978-1-4419-2161-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Scientific Computing
Book Subtitle
Twelve Computational Projects Solved with MATLAB
Authors
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-49159-2
DOI
10.1007/978-0-387-49159-2
Hardcover ISBN
978-0-387-30889-0
Softcover ISBN
978-1-4419-2161-1
Edition Number
1
Number of Pages
XVI, 294
Number of Illustrations and Tables
135 b/w illustrations
Topics