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Lectures On Constructive Approximation

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Lectures On Constructive Approximation

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Author : Volker Michel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-12

Lectures On Constructive Approximation written by Volker Michel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-12 with Mathematics categories.

Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth’s or the brain’s interior. Specific topics covered include: * the advantages and disadvantages of Fourier, spline, and wavelet methods * theory and numerics of orthogonal polynomials on intervals, spheres, and balls * cubic splines and splines based on reproducing kernels * multiresolution analysis using wavelets and scaling functions This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields.

Constructive Approximation

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Author : Ronald A. DeVore
language : en
Publisher:
Release Date : 1993

Constructive Approximation written by Ronald A. DeVore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Approximation theory categories.

Constructive Approximation

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Author : Michael F. Barnsley
language : en
Publisher: Springer
Release Date : 2013-12-14

Constructive Approximation written by Michael F. Barnsley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-14 with Mathematics categories.

Trends And Applications In Constructive Approximation

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Author : Detlef H. Mache
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Trends And Applications In Constructive Approximation written by Detlef H. Mache and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.

This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics.

Constructive Approximation

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Author : George G. Lorentz
language : en
Publisher: Springer
Release Date : 1996

Constructive Approximation written by George G. Lorentz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

In the last 30 years, Approximation Theory has undergone wonderful develop ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G. G. Lorentz, "Approximation of Functions." Soon after 1980, R. A. DeVore and Lorentz joined forces for this purpose. The outcome has been their "Constructive Approximation" (1993), volume 303 of this series. References to this book are given as, for example rCA, p.201]. Later, M. v. Golitschek and Y. Makovoz joined Lorentz to produce the present book, as a continuation of the first. Completeness has not been our goal. In some of the theories, our exposition offers a selection of important, representative theorems, some other cases are treated more systematically. As in the first book, we treat only approximation of functions of one real variable. Thus, functions of several variables, complex approximation or interpolation are not treated, although complex variable methods appear often.

Constructive Approximation

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Author : Ronald A. DeVore
language : en
Publisher:
Release Date : 1993

The book describes function spaces used in approximation, the needed functional analytic tools. It develops basic properties of polynomials, splines, linear operators that are used for approximation (and interpolation). The book takes the reader up to and into the recent great advances of Approximation Theory and emphasizes good proofs, logical selection of material, avoidance of superfluous details.

Constructive Aspects Of Functional Analysis

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Author : Giuseppe Geymonat
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-21

Constructive Aspects Of Functional Analysis written by Giuseppe Geymonat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-21 with Mathematics categories.

A. Balakrishnan: A constructive approach to optimal control.- R. Glowinski: Méthodes itératives duales pour la minimisation de fonctionnelles convexes.- J.L. Lions: Approximation numérique des inéquations d’évolution.- G. Marchuk: Introduction to the methods of numerical analysis.- U. Mosco: An introduction to the approximate solution of variational inequalities.- I. Singer: Best approximation in normed linear spaces.- G. Strang: A Fourier analysis of the finite element variational method.- M. Zerner: Caractéristiques d’approximation des compacts dans les espaces fonctionnels et problèmes aux limites elliptiques.