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Topics in Multivariate Approximation

Topics in Multivariate Approximation PDF Author: C. K. Chui
Publisher: Elsevier
ISBN: 1483271005
Category : Mathematics
Languages : en
Pages : 346

Book Description
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.

Topics in Multivariate Approximation

Topics in Multivariate Approximation PDF Author: C. K. Chui
Publisher: Elsevier
ISBN: 1483271005
Category : Mathematics
Languages : en
Pages : 346

Book Description
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

Multivariate Approximation Theory PDF Author: E. W. Cheney
Publisher: SIAM
ISBN: 0898712076
Category : Mathematics
Languages : en
Pages : 74

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

Topics in Multivariate Approximation and Interpolation

Topics in Multivariate Approximation and Interpolation PDF Author: Kurt Jetter
Publisher: Elsevier
ISBN: 9780080462042
Category : Mathematics
Languages : en
Pages : 356

Book Description
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

Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop

Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop PDF Author: Fontanella F
Publisher: World Scientific
ISBN: 9814547190
Category :
Languages : en
Pages : 380

Book Description
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

Multivariate Approximation and Applications PDF Author: N. Dyn
Publisher: Cambridge University Press
ISBN: 0521800234
Category : Mathematics
Languages : en
Pages : 300

Book Description
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

Multivariate Approximation and Splines PDF Author: Günther Nürnberger
Publisher: Springer Science & Business Media
ISBN: 9783764356545
Category : Mathematics
Languages : en
Pages : 344

Book Description
This volume presents refereed papers covering a variety of topics in the growing field of multivariate approximation and slines.

Advanced Topics in Multivariate Approximation

Advanced Topics in Multivariate Approximation PDF Author: F. Fontanella
Publisher:
ISBN: 9789814530569
Category : MATHEMATICS
Languages : en
Pages :

Book Description


Recent Progress in Multivariate Approximation

Recent Progress in Multivariate Approximation PDF Author: Werner Haussmann
Publisher: Birkhäuser
ISBN: 3034882726
Category : Mathematics
Languages : en
Pages : 258

Book Description
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 Theory II

Multivariate Approximation Theory II PDF Author: Schempp
Publisher: Birkhäuser
ISBN: 3034871899
Category : Mathematics
Languages : en
Pages : 411

Book Description
The Third International Symposium on Hultivariate Approximation Theory was held at the Oberwolfach!1athematical Research Insti tute, Black Forest, February 8-12, 1982. The preceding conferen ces on this topic were held in 1976* and 1979**. The conference brought together 50 mathematicians from 14 coun tries. These Proceedings form arecord of most of the papers pre sented at the Symposium. The topics treated cover different problems on multivariate approximation theory such as new results concerning approxima tion by polynomials in Sobolev spaces, biorthogonal systems and orthogonal series of functions in several variables, multivariate spline functions, group theoretic and functional analytic methods, positive linear operators, error estimates for approximation procedures and cubature formulae, Boolean methods in multivari ate interpolation and the numerical application of summation procedures. Special emphasis was posed on the application of multivariate approximation in various fields of science. One mathematician was sorely missed at the Symposium. Professor Arthur Sard who had actively taken part in the earlier conferen ces passed away in August of 1980. Since he was a friend of many of the participants, the editors wish to dedicate these Procee dings to the memory of this distinguished mathematician. Abrief appreciation of his life and mathematical work appears as well *"Constructive Theory of Functions of Several Variables". Edited by w. Schempp and Karl Zeller. Lecture Notes in 1-1athematics, Vol

Multivariate Approximation

Multivariate Approximation PDF Author: V. Temlyakov
Publisher: Cambridge University Press
ISBN: 1108428754
Category : Computers
Languages : en
Pages : 551

Book Description
Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.