Multiscale problems and methods in numerical simulations : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy 2001, September 9-15, 2001


James H. Bramble
Bok Engelsk 2003
Utgitt
Berlin : Springer , c2003
Omfang
1 online resource (XIV, 170 p.)
Opplysninger
Bibliographic Level Mode of Issuance: Monograph. - Preface -- A. Cohen: Theoretical Applied and Computational Aspects of Nonlinear Approximation -- W. Dahmen: Multiscale and Wavelet Methods for Operator Equations -- J. H. Bramble: Multilevel Methods in Finite Elements.. - 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.
Emner
Dewey
ISBN
3540200991

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