Advanced Topics In Multivariate Approximation
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Advanced Topics In Multivariate Approximation Proceedings Of The International Workshop
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Author : F Fontanella
language : en
Publisher: World Scientific
Release Date : 1996-11-13
Advanced Topics In Multivariate Approximation Proceedings Of The International Workshop written by F Fontanella 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.
Multivariate Approximation And Applications
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Author : N. Dyn
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-17
Multivariate Approximation And Applications written by N. Dyn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-17 with Mathematics categories.
Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography.
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.
Advances In Analysis Proceedings Of The 4th International Isaac Congress
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Author : Heinrich G W Begehr
language : en
Publisher: World Scientific
Release Date : 2005-07-04
Advances In Analysis Proceedings Of The 4th International Isaac Congress written by Heinrich G W Begehr and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-04 with Mathematics categories.
This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas — not given special emphasis in previous meetings — include special functions and orthogonal polynomials, harmonic analysis, and partial differential equations.
Sampling Theory In Fourier And Signal Analysis Advanced Topics
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Author : J. R. Higgins
language : en
Publisher: Oxford University Press
Release Date : 1999-11-25
Sampling Theory In Fourier And Signal Analysis Advanced Topics written by J. R. Higgins and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-25 with Mathematics categories.
Volume 1 in this series laid the mathematical foundations of sampling theory; Volume 2 surveys the many applications of the theory both within mathematics and in other areas of science. Topics range over a wide variety of areas, and each application is given a modern treatment.
Advances In Computational Mathematics
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Author : Zhongying Chen
language : en
Publisher: CRC Press
Release Date : 2023-08-25
Advances In Computational Mathematics written by Zhongying Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-25 with Mathematics categories.
This volume presents the refereed proceedings of the Guangzhou International Symposium on Computational Mathematics, held at the Zhongshan University, People's Republic of China. Nearly 90 international mathematicians examine numerical optimization methods, wavelet analysis, computational approximation, numerical solutions of differential and integral equations, numerical linear algebra, inverse and ill-posed problems, geometric modelling, and signal and image processing and their applications.
Multivariate Polysplines
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Author : Ognyan Kounchev
language : en
Publisher: Academic Press
Release Date : 2001-06-11
Multivariate Polysplines written by Ognyan Kounchev and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-11 with Mathematics categories.
Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature. - Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic - Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines - Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case - Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property
Introduction To The Theory Of Weighted Polynomial Approximation
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Author : H N Mhaskar
language : en
Publisher: World Scientific
Release Date : 1997-01-04
Introduction To The Theory Of Weighted Polynomial Approximation written by H N Mhaskar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-04 with Mathematics categories.
In this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years. There are other books and surveys reviewing the ideas from the perspective of either potential theory or orthogonal polynomials. The main thrust of this book is to introduce the subject from an approximation theory point of view. Thus, the main motivation is to study analogues of results from classical trigonometric approximation theory, introducing other ideas as needed. It is not our objective to survey the most recent results, but merely to introduce to the readers the thought processes and ideas as they are developed.This book is intended to be self-contained, although the reader is expected to be familiar with rudimentary real and complex analysis. It will also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.
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.
Computational Methods And Function Theory 1997 Proceedings Of The Third Cmft Conference
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Author : Nicolas Papamichael
language : en
Publisher: World Scientific
Release Date : 1999-04-14
Computational Methods And Function Theory 1997 Proceedings Of The Third Cmft Conference written by Nicolas Papamichael and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-14 with categories.
This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.