Multiscale and adaptivity : modeling, numerics and applications : C.I.M.E. Summer School, Cetraro, Italy, 2009
Author(s)
Bibliographic Information
Multiscale and adaptivity : modeling, numerics and applications : C.I.M.E. Summer School, Cetraro, Italy, 2009
(Lecture notes in mathematics, 2040 . C.I.M.E. foundation subseries)
Springer, c2012
- : [pbk.]
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Note
"Fondazione CIME Roberto Conti"
Includes bibliographies
Description and Table of Contents
Description
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
AdaptiveWavelet Methods.- Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms.- Primer of Adaptive Finite Element Methods.- Mathematically Founded Design of Adaptive Finite Element Software.
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