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
Description
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.
Keywords
MathematicsDifferential EquationsNumber SystemsMathematical AnalysisFunctional AnalysisNumerical AnalysisScienceMechanicsPhysicsTechnology & EngineeringElectronicsSemiconductors
2003Book
Author(s)C.I.M.E. Course on "Multiscale Problems and Methods in Numerical Simulation" (2001 Martina Franca, Italy)
PublisherSpringer Science & Business Media
ISBN9783540200994
LanguageEnglish
