Multiscale and adaptivity : modeling, numerics and applications : C.I.M.E. Summer School, Cetraro, Italy 2009 / Silvia Bertoluzza, Ricardo H. Nochetto, Alfio Quarteroni... [et al.] ; Giovanni Naldi, Giovanni Russo, editors

Auteur principal collectivité : Centro internazionale matematico estivo (CIME), Summer school, 2009, AuteurCo-auteur : Bertoluzza, Silvia, Auteur • Nochetto, Ricardo H., Auteur • Quarteroni, Alfio, 1952-, AuteurAuteur secondaire : Naldi, Giovanni, Editeur scientifique • Russo, Giovanni, 1958-, Editeur scientifiqueType de document : CongrèsCollection : Lecture notes in mathematics, 2040Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2012Description : 1 vol. (XII-314 p.) : fig. ; 24 cmISBN: 9783642240782.ISSN: 0075-8434.Bibliographie : Bibliogr. en fin de contributions.Sujet MSC : 65-06, Proceedings, conferences, collections, etc. pertaining to numerical analysis
65M50, Numerical analysis, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65M55, Numerical analysis, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65M60, Numerical analysis, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65T60, Numerical analysis - Numerical methods in Fourier analysis, Numerical methods for wavelets
76Mxx, Basic methods in fluid mechanics
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Bibliogr. en fin de contributions

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. (Source : Springer)

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