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MS&A

Numerical Models for Differential Problems

Authors: Quarteroni, Alfio

  • Author faces here the basic concepts for the numerical modeling of partial differential equations
  • An outstanding reference work in this branch of applied mathematics
  • In particular, the author discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs
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Buy this book

eBook  
  • ISBN 978-88-470-5522-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover ca. $69.99
price for USA
  • Due: January 13, 2014
  • ISBN 978-88-470-5521-6
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-88-470-5883-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

About the authors

The Author is Professor and Director of the Chair of Modelling and Scientific Computing (CMCS) at the Institute of Analysis and Scientific Computing of EPFL, Lausanne (Switzerland), since 1998, Professor of Numerical Analysis at the Politecnico di Milano (Italy) since 1989, and Scientific Director of MOX, since 2002. Author of 22 books published with Springer, and of about 200 papers published in refereed international Journals, Conference Proceedings and Magazines, Alfio Quarteroni is actually one of the strongest and reliable mathematicians in the world in the field of Modelling and SC.

Table of contents (19 chapters)

  • A brief survey of partial differential equations

    Quarteroni, Alfio

    Pages 1-10

  • Elements of functional analysis

    Quarteroni, Alfio

    Pages 11-29

  • Elliptic equations

    Quarteroni, Alfio

    Pages 31-60

  • The Galerkin finite element method for elliptic problems

    Quarteroni, Alfio

    Pages 61-119

  • Parabolic equations

    Quarteroni, Alfio

    Pages 121-140

Buy this book

eBook  
  • ISBN 978-88-470-5522-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover ca. $69.99
price for USA
  • Due: January 13, 2014
  • ISBN 978-88-470-5521-6
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-88-470-5883-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Models for Differential Problems
Authors
Series Title
MS&A
Series Volume
8
Copyright
2014
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer International Publishing
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-88-470-5522-3
DOI
10.1007/978-88-470-5522-3
Hardcover ISBN
978-88-470-5521-6
Softcover ISBN
978-88-470-5883-5
Series ISSN
2037-5255
Edition Number
2
Number of Pages
XIX, 658
Number of Illustrations and Tables
70 b/w illustrations, 93 illustrations in colour
Topics