Adaptive Multiscale Schemes for Conservation Laws, Siegfried M?ller

Автор: Pavliotis
Название: Multiscale Methods
ISBN: 0387738282 ISBN-13(EAN): 9780387738284
Издательство: Springer
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Цена: 9781.00 р.
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Описание: The book is meant to be an introduction, aimed primarily towards graduate students. Part I of the book (theoretical foundations) and Part III of the book (proving theorems concerning simplified versions of the models that are studied in Part II) are necessarily terse and present the wide range of applications of the ideas, and illustrate their unity. The subject matter in these set of notes has, for the most part, been known for several decades. However, the particular presentation of the material here is particularly suited to the pedagogical goal of communicating the subject area to the wide range of mathematicians, scientists and engineers who are currently engaged in the use of these tools to tackle the enormous range of applications that require them.Extensions and generalizations of the results presented in these notes, as well as references to the literature, are given in the Discussion and Bibliography section, at the end of each chapter. With the exception of Chapter 1, all chapters are supplemented with exercises.

Автор: Ronald DeVore; Angela Kunoth
Название: Multiscale, Nonlinear and Adaptive Approximation
ISBN: 3642424570 ISBN-13(EAN): 9783642424571
Издательство: Springer
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Цена: 33401.00 р.
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Описание: Introduction: Wolfgang Dahmen's mathematical work.- The way things were in multivariate splines: A personal view.- On the efficient computation of high-dimensional integrals and the approximation by exponential sums.- Adaptive and anisotropic piecewise polynomial approximation.- Anisotropic function spaces with applications.- Nonlinear approximation and its applications.- Univariate subdivision and multi-scale transforms: The nonlinear case.- Rapid solution of boundary integral equations by wavelet Galerkin schemes.- Learning out of leaders.- Optimized wavelet preconditioning.- Multiresolution schemes for conservation laws.- Theory of adaptive finite element methods: An introduction.- Adaptive wavelet methods for solving operator equations: An overview.- Optimal multilevel methods for (grad), (curl), and (div) systems on graded and unstructured grids.

Автор: Cristiani, Emiliano Piccoli, Benedetto Tosin, Andrea
Название: Multiscale modeling of pedestrian dynamics
ISBN: 3319066196 ISBN-13(EAN): 9783319066196
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Multiscale Modeling of Pedestrian Dynamics

Автор: Ivan G. Graham; Thomas Y. Hou; Omar Lakkis; Robert
Название: Numerical Analysis of Multiscale Problems
ISBN: 3642431240 ISBN-13(EAN): 9783642431241
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty.

Автор: Chen
Название: Multiscale Methods for Fredholm Integral Equations
ISBN: 1107103479 ISBN-13(EAN): 9781107103474
Издательство: Cambridge Academ
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Описание: The authors present the state of the art in fast multiscale methods, from traditional numerical methods to the recently developed wavelet-based approach. Theorems of functional analysis used throughout the book are summarised in an appendix. Selected chapters are suitable for a one-semester course for advanced undergraduates or beginning graduates.