C.I.M.E. Foundation Subseries

Multiscale and Adaptivity: Modeling, Numerics and Applications

C.I.M.E. Summer School, Cetraro, Italy 2009

Authors: Bertoluzza, S., Nochetto, R.H., Quarteroni, A., Siebert, K.G., Veeser, A.

Editors: Naldi, Giovanni, Russo, Giovanni (Eds.)

  • Gives an overview of state-of-the-art mathematical tools in multiscale modeling
  • Contains a chapter on multiscale modeling and related numerical methods in fluid dynamics
  • Provides a detailed description of adaptive finite element methods, ranging from the mathematical theory to implementation details and software development
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  • ISBN 978-3-642-24079-9
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About this book

This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Table of contents (4 chapters)

  • Adaptive Wavelet Methods

    Bertoluzza, Silvia

    Pages 1-56

  • Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms

    Discacciati, Marco (et al.)

    Pages 57-123

  • Primer of Adaptive Finite Element Methods

    Nochetto, Ricardo H. (et al.)

    Pages 125-225

  • Mathematically Founded Design of Adaptive Finite Element Software

    Siebert, Kunibert G.

    Pages 227-309

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-24079-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-24078-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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
Multiscale and Adaptivity: Modeling, Numerics and Applications
Book Subtitle
C.I.M.E. Summer School, Cetraro, Italy 2009
Authors
Editors
  • Giovanni Naldi
  • Giovanni Russo
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2040
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-24079-9
DOI
10.1007/978-3-642-24079-9
Softcover ISBN
978-3-642-24078-2
Edition Number
1
Number of Pages
XII, 314
Number of Illustrations and Tables
48 b/w illustrations, 24 illustrations in colour
Topics