C.I.M.E. Foundation Subseries

Multiscale Problems and Methods in Numerical Simulations

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001

Authors: Bramble, James H., Cohen, Albert, Dahmen, Wolfgang

Editors: Canuto, Claudio (Ed.)

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About this book

This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.

Table of contents (3 chapters)

  • Theoretical, Applied and Computational Aspects of Nonlinear Approximation

    Cohen, Albert

    Pages 1-29

  • Multiscale and Wavelet Methods for Operator Equations

    Dahmen, Wolfgang

    Pages 31-96

  • Multilevel Methods in Finite Elements

    Bramble, James H.

    Pages 97-151

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-39810-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-20099-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multiscale Problems and Methods in Numerical Simulations
Book Subtitle
Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001
Authors
Editors
  • Claudio Canuto
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1825
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39810-3
DOI
10.1007/b13466
Softcover ISBN
978-3-540-20099-4
Edition Number
1
Number of Pages
XIV, 170
Topics