Multivariate Approximation Theory Iv

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Multivariate Approximation Theory IV

Author : CHUI
Publisher : Birkhäuser
ISBN 13 : 3034872984
Total Pages : 348 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Multivariate Approximation Theory IV by : CHUI

Download or read book Multivariate Approximation Theory IV written by CHUI and published by Birkhäuser. This book was released on 2013-03-08 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Approximation Theory forms a rapidly evolving field in Applied Mathematics. The reason for its particular current interest lies in its impact on Computer Aided Geometric Design (CAGD), Image Processing, Pattern Recogni tion, and Mult idimensional Signal Processing. Mul ti var iate Bernstein polynomials and box splines, for example, play an important role in CAGD. Conversely, the highly important filter bank design problem of signal processing, for instance, gives rise to a new family of multivariate approximating functions, the Gabor wavelets, with interesting technological and biological applications. The conferences on Multivariate Approximation Theory held at the Mathematical Research Institute at Oberwolfach, Black Forest, in 1976, 1979, 1982, 1985 and 1989 ref lect the progress made in this area and related fie Ids. The present volume which is a continuation of the preceding volumes Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571 (1977) Multivariate Approximation Theory, ISNM 51 (1979) Multivariate Approximation Theory II, ISNM 61 (1982) Multivariate Approximation Theory III, ISNM 75 (1985) is based on the conference held on February 12-18, 1989. It includes most of the lectures presented at the Oberwolfach meeting and reveals the wide spectrum of activities in the field of multivariate approximation. The organizers are grateful to the Director of the Oberwolfach Mathematical Research Institute, Professor Dr. M. Barner, and his staff for providing the facili ties, and to Dr. G. Baszenski, Professor Dr. F. J. Delvos, Dr. H.

Multivariate Approximation Theory

Author : E. W. Cheney
Publisher : SIAM
ISBN 13 : 9781611970197
Total Pages : 74 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Multivariate Approximation Theory by : E. W. Cheney

Download or read book Multivariate Approximation Theory written by E. W. Cheney and published by SIAM. This book was released on 1986-01-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such problems have yet to be written. This monograph is written for a broad audience of computational mathematicians and statisticians concerned with the development of algorithms or the derivation of approximations from linear projections, of which the interpolating operators are an important example. As an aid to both researchers and students, a bibliography of more than 200 titles is included.

Topics in Multivariate Approximation

Author : C. K. Chui
Publisher : Elsevier
ISBN 13 : 1483271005
Total Pages : 346 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Topics in Multivariate Approximation by : C. K. Chui

Download or read book Topics in Multivariate Approximation written by C. K. Chui and published by Elsevier. This book was released on 2014-05-10 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 III

Author : SCHEMPP
Publisher : Birkhäuser
ISBN 13 : 3034893213
Total Pages : 396 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Multivariate Approximation Theory III by : SCHEMPP

Download or read book Multivariate Approximation Theory III written by SCHEMPP and published by Birkhäuser. This book was released on 2013-03-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth International Symposium on Multivariate Approximation Theory was held at the Oberwolfach Mathematical Research Insti tute, Black Forest, W.-Germany, during the week of January 20 - 26, 1985. The preceding conferences on this topic were held in 1976, 1979, and 1982 * . We were pleased to have more than 50 mathematicians from 13 countries in attendance. The program in cluded 40 lectures. These Proceedings form a record of most of the papers presented at the Symposium. The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods. We would like to thank the director of the Oberwolfach Mathe matical Research Institute, Prof. Dr. M. Barner, and his staff for providing the facilities. Of the people who gave their time to help make this conference a success, we would like to mention in particular Prof. Dr. F.J. Delvos (Siegen), Dr. G. Baszenski (College Station, Texas), and Dipl.-Math. H. Nienhaus (Siegen). Finally, our thanks are due to Carl Einsele of Birkhauser Publishers for his valuable cooperation.

Approximation Theory Using Positive Linear Operators

Author : Radu Paltanea
Publisher : Springer Science & Business Media
ISBN 13 : 1461220580
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Approximation Theory Using Positive Linear Operators by : Radu Paltanea

Download or read book Approximation Theory Using Positive Linear Operators written by Radu Paltanea and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results

Multivariate Approximation

Author : V. Temlyakov
Publisher : Cambridge University Press
ISBN 13 : 1108428754
Total Pages : 551 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Multivariate Approximation by : V. Temlyakov

Download or read book Multivariate Approximation written by V. Temlyakov and published by Cambridge University Press. This book was released on 2018-07-19 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.

Approximation Theory VIII

Author : Charles K. Chui
Publisher : World Scientific
ISBN 13 : 9814532592
Total Pages : 606 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Approximation Theory VIII by : Charles K. Chui

Download or read book Approximation Theory VIII written by Charles K. Chui and published by World Scientific. This book was released on 1995 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.

Numerical Methods in Approximation Theory, Vol. 9

Author : D. Braess
Publisher : Birkhäuser
ISBN 13 : 3034886195
Total Pages : 365 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Methods in Approximation Theory, Vol. 9 by : D. Braess

Download or read book Numerical Methods in Approximation Theory, Vol. 9 written by D. Braess and published by Birkhäuser. This book was released on 2013-03-11 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the official proceedings of a conference on Numerical Methods in Approximation Theory which was held at the Mathematisches Forschungs institut in Oberwolfach during the week of November 24~30, 1991. It contains refereed and edited papers by 20 of the 49 participants. The book is dedicated to the memory of Prof. Lothar Collatz who main tained a long and active interest in numerical approximation. It is the ninth in a series of volumes published by Birkhiiuser resulting from conferences on the subject held at Oberwolfach, and co-organized by Prof. Collatz. We now briefly describe the contents of the book. The paper of BASZEN SKI, DELVOS and JESTER deals with blending using sine double series expan sions of functions defined on the unit square. In addition to giving explicit error estimates for partial sums and for interpolating sine polynomials, they also show that Boolean sums yield almost the same asymptotic error estimates as the conventional tensor-product approach, but with a reduced number of terms. The paper of BEATSON and LIGHT discusses approximation by quasi interpolants which are sums of scaled translates of a one-parameter family of functions. They do not require reproduction of low degree polynomials, but nevertheless are able to give error bounds and analyze quasi-interpolation based on Gaussians and exponentials. BINEV and JETTER deal with multivariate interpolation using shifts of a single basis function. They treat both gridded data and scattered data. As examples, they consider box splines and certain radial basis functions.

Multiscale, Nonlinear and Adaptive Approximation

Author : Ronald DeVore
Publisher : Springer Science & Business Media
ISBN 13 : 3642034136
Total Pages : 671 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Multiscale, Nonlinear and Adaptive Approximation by : Ronald DeVore

Download or read book Multiscale, Nonlinear and Adaptive Approximation written by Ronald DeVore and published by Springer Science & Business Media. This book was released on 2009-09-16 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building the foundation for most efficient numerical algorithms for simulating complex phenomena.

Multivariate Approximation and Splines

Author : Günther Nürnberger
Publisher : Birkhäuser
ISBN 13 : 3034888716
Total Pages : 329 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Multivariate Approximation and Splines by : Günther Nürnberger

Download or read book Multivariate Approximation and Splines written by Günther Nürnberger and published by Birkhäuser. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multivariate Splines

Author : Charles K. Chui
Publisher : SIAM
ISBN 13 : 9781611970173
Total Pages : 194 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Multivariate Splines by : Charles K. Chui

Download or read book Multivariate Splines written by Charles K. Chui and published by SIAM. This book was released on 1988-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research.

Trends and Applications in Constructive Approximation

Author : Detlef H. Mache
Publisher : Springer Science & Business Media
ISBN 13 : 3764373563
Total Pages : 300 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Trends and Applications in Constructive Approximation by : Detlef H. Mache

Download or read book Trends and Applications in Constructive Approximation written by Detlef H. Mache and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quasi-Interpolation

Author : Martin Buhmann
Publisher : Cambridge University Press
ISBN 13 : 1107072638
Total Pages : 291 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quasi-Interpolation by : Martin Buhmann

Download or read book Quasi-Interpolation written by Martin Buhmann and published by Cambridge University Press. This book was released on 2022-03-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delve into an in-depth description and analysis of quasi-interpolation, starting from various areas of approximation theory.

Meshfree Approximation Methods With Matlab (With Cd-rom)

Author : Gregory E Fasshauer
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101571
Total Pages : 520 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Meshfree Approximation Methods With Matlab (With Cd-rom) by : Gregory E Fasshauer

Download or read book Meshfree Approximation Methods With Matlab (With Cd-rom) written by Gregory E Fasshauer and published by World Scientific Publishing Company. This book was released on 2007-04-17 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods.The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.

Meshfree Approximation Methods with MATLAB

Author : Gregory E. Fasshauer
Publisher : World Scientific
ISBN 13 : 981270633X
Total Pages : 520 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Meshfree Approximation Methods with MATLAB by : Gregory E. Fasshauer

Download or read book Meshfree Approximation Methods with MATLAB written by Gregory E. Fasshauer and published by World Scientific. This book was released on 2007 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.

Numerical Analysis

Author : D.F. Griffiths
Publisher : Springer
ISBN 13 : 3540388818
Total Pages : 288 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Analysis by : D.F. Griffiths

Download or read book Numerical Analysis written by D.F. Griffiths and published by Springer. This book was released on 2006-12-08 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Acta Numerica 1993: Volume 2

Author : Arieh Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521443562
Total Pages : 344 pages
Book Rating : 4.4/5 (435 download)

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Book Synopsis Acta Numerica 1993: Volume 2 by : Arieh Iserles

Download or read book Acta Numerica 1993: Volume 2 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1993-04-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the tradition established with the 1992 volume, this 1993's Acta Numerica presents six invited papers on a broad range of topics from numerical analysis. Papers treat each topic at a level intelligible by any numerical analyst from graduate student to professional.