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Lecture Notes in Computational Science and Engineering

Numerical Solution of Partial Differential Equations on Parallel Computers

Editors: Bruaset, Are Magnus, Tveito, Aslak (Eds.)

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About this book

Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.

Table of contents (1 chapters)

  • Parallel Lattice Boltzmann Methods for CFD Applications

    Carolin Körner, et al.

    Pages

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-540-31619-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $209.00
price for USA
  • ISBN 978-3-540-29076-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Solution of Partial Differential Equations on Parallel Computers
Editors
  • Are Magnus Bruaset
  • Aslak Tveito
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
51
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-31619-0
DOI
10.1007/3-540-31619-1
Softcover ISBN
978-3-540-29076-6
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XII, 482
Number of Illustrations and Tables
171 b/w illustrations, 30 illustrations in colour
Topics