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 (Lecture Notes in Mathematics)

James H. Bramble, Albert Cohen, Wolfgang Dahmen, Claudio Canuto

ISBN 10: 3540200991 / ISBN 13: 9783540200994

Editore: Springer Berlin Heidelberg 2008-10-10, 2008

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Codice articolo 6666-IUK-9783540200994

Dati bibliografici

• Titolo: 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 (Lecture Notes in Mathematics)
• Editore: Springer Berlin Heidelberg 2008-10-10
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3540200991
• ISBN 13: 9783540200994
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

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.