Function Spaces, Interpolation Theory and Related Topics
Function Spaces, Interpolation Theory and Related Topics

Author: Michael Cwikel

Publisher: Walter de Gruyter

Published: 2008-08-22

Total Pages: 473

ISBN-13: 3110198053

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This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.

Getting Acquainted with Homogenization and Multiscale
Getting Acquainted with Homogenization and Multiscale

Author: Leonid Berlyand

Publisher: Springer

Published: 2018-11-22

Total Pages: 187

ISBN-13: 303001777X

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The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.

Numerical Mathematics and Advanced Applications
Numerical Mathematics and Advanced Applications

Author: Alfredo Bermúdez de Castro

Publisher: Springer Science & Business Media

Published: 2007-10-08

Total Pages: 1202

ISBN-13: 3540342885

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These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, and more.