Multiscale Problems and Methods in Numerical Simulations - Bramble, James H.; Cohen, Albert; Dahmen, Wolfgang
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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…mehr

Produktbeschreibung
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.
  • Produktdetails
  • Lecture Notes in Mathematics Vol.1825
  • Verlag: Springer, Berlin
  • 2003
  • Seitenzahl: 184
  • Erscheinungstermin: 22. Oktober 2003
  • Englisch
  • Abmessung: 235mm x 155mm x 10mm
  • Gewicht: 314g
  • ISBN-13: 9783540200994
  • ISBN-10: 3540200991
  • Artikelnr.: 14877123
Autorenporträt
James H. Bramble, Texas A&M University, College Station, TX, USA / Albert Cohen, Université Pierre et Marie Curie, Paris, France / Wolfgang Dahmen, RWTH, Aachen, Germany

Inhaltsangabe
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.