Topics In Multivariate Approximation And Interpolation

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Topics In Multivariate Approximation And Interpolation

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Author : Kurt Jetter
language : en
Publisher: Elsevier
Release Date : 2005-11-15

Topics In Multivariate Approximation And Interpolation written by Kurt Jetter and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-15 with Mathematics categories.

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. A collection of articles of highest scientific standard An excellent introduction and overview of recent topics from multivariate approximation A valuable source of references for specialists in the field A representation of the state-of-the-art in selected areas of multivariate approximation A rigorous mathematical introduction to special topics of interdisciplinary research

Topics In Multivariate Approximation

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Author : C. K. Chui
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Topics In Multivariate Approximation written by C. K. Chui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.

Multivariate Approximation Theory

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Author : E. W. Cheney
language : en
Publisher: SIAM
Release Date : 1986-10-01

Multivariate Approximation Theory written by E. W. Cheney and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-01 with Mathematics categories.

This monograph deals with the development of algorithms or the derivation of approximations from linear projections.

Multivariate Approximation And Splines

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Author : Günther Nürnberger
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Multivariate Approximation And Splines written by Günther Nürnberger and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.

Advanced Topics In Multivariate Approximation Proceedings Of The International Workshop

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Author : Fontanella F
language : en
Publisher: World Scientific
Release Date : 1996-11-13

Advanced Topics In Multivariate Approximation Proceedings Of The International Workshop written by Fontanella F and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-13 with categories.

This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.

Recent Progress In Multivariate Approximation

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Author : Werner Haussmann
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Recent Progress In Multivariate Approximation written by Werner Haussmann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. An essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

Multivariate Approximation And Interpolation

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Author : HAUSMANN
language : de
Publisher: Birkhäuser
Release Date : 1990-01-01

Multivariate Approximation And Interpolation written by HAUSMANN and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Science categories.

The "International Workshop on Multivariate Approximation and Interpolation" was held at the University of Duisburg, Germany, during August 14-18, 1989. It was the second workshop in aseries which started in 1986 at the University of Chile in Santiago with a previous conference on a similar subject (cf. Topics in Multivariate Approximation, C.K. Chui et al. (Eds.), Academic Press, New York, 1987). The conference was organized by an international organizing committee consisting of Charles Chui (USA), Werner Haussmann (Germany), Kurt Jetter (Germany), Larry Schumaker (USA), and Florencio Utreras (Chile). In addition, the local organizing committee included Hans-Bernd Knoop, Hauke Kruger, and Joachim Stockler from the University of Duisburg. We would like to thank all of them for their constant support. We also acknowledge the efforts of Uta Dick, Sabine Haussler, and Stefanie Messal who did most of the secretarial work. It was our pleasure to see that the workshop brought together 75 participants from 18 countries. 28 leading scientists gave invited (research or survey) lectures, with 24 of them summarized in the papers included in this proceedings volume. The topics of these lectures gave a state-of-the-art overview of current research in Multivariate Approximation and Interpolation, and they reflected the rapid development of the area."

Multivariate Approximation And Interpolation

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Author : HAUSMANN
language : de
Publisher: Birkhäuser
Release Date : 2014-04-11

Multivariate Approximation And Interpolation written by HAUSMANN and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-11 with Science categories.

The "International Workshop on Multivariate Approximation and Interpolation" was held at the University of Duisburg, Germany, during August 14-18, 1989. It was the second workshop in aseries which started in 1986 at the University of Chile in Santiago with a previous conference on a similar subject (cf. Topics in Multivariate Approximation, C.K. Chui et al. (Eds.), Academic Press, New York, 1987). The conference was organized by an international organizing committee consisting of Charles Chui (USA), Werner Haußmann (Germany), Kurt Jetter (Germany), Larry Schumaker (USA), and Florencio Utreras (Chile). In addition, the local organizing committee included Hans-Bernd Knoop, Hauke Krüger, and Joachim Stöckler from the University of Duisburg. We would like to thank all of them for their constant support. We also acknowledge the efforts of Uta Dick, Sabine Häußler, and Stefanie Messal who did most of the secretarial work. It was our pleasure to see that the workshop brought together 75 participants from 18 countries. 28 leading scientists gave invited (research or survey) lectures, with 24 of them summarized in the papers included in this proceedings volume. The topics of these lectures gave a state-of-the-art overview of current research in Multivariate Approximation and Interpolation, and they reflected the rapid development of the area.

Approximation Theory Wavelets And Applications

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Author : S.P. Singh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Approximation Theory Wavelets And Applications written by S.P. Singh 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 2013-03-09 with Mathematics categories.

Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Padé theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.

Modern Developments In Multivariate Approximation

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Author : Werner Haussmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-24

Modern Developments In Multivariate Approximation written by Werner Haussmann 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 2003-10-24 with Mathematics categories.

This volume contains a selection of eighteen peer-reviewed articles that were presented at the 5th International Conference on Multivariate Approximation, held in Witten-Bommerholz in September 2002. The contributions cover recent developments of constructive approximation on manifolds, approximation by splines and kernels, subdivision techniques and wavelet methods. The main topics are: - applications of multivariate approximation in finance - approximation and stable reconstruction of images, data reduction - multivariate splines for Lagrange interpolation and quasi-interpolation - radial basis functions - spherical point sets - refinable function vectors and non-stationary subdivision - applications of adaptive wavelet methods - blending functions and cubature formulae - singularities of harmonic functions The book provides an overview of state-of-the-art developments in a highly relevant field of applied mathematics, with many links to computer science and geophysics.