Modern Developments In Multivariate Approximation

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Modern developments in multivariate approximation

Werner Haussmann
Modern developments in multivariate approximation Book PDF

Author : Werner Haussmann
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 44,5 Mb
Release : 2003-10-24
Category : Mathematics
ISBN : 3764321954

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Modern developments in multivariate approximation by Werner Haussmann Pdf

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.

Recent Progress in Multivariate Approximation

Werner Haussmann,Kurt Jetter,Manfred Reimer
Recent Progress in Multivariate Approximation Book PDF

Author : Werner Haussmann,Kurt Jetter,Manfred Reimer
Publisher : Birkhäuser
Page : 258 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882729

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Recent Progress in Multivariate Approximation by Werner Haussmann,Kurt Jetter,Manfred Reimer Pdf

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 Splines

Günther Nürnberger,Jochen W. Schmidt,Guido Walz
Multivariate Approximation and Splines Book PDF

Author : Günther Nürnberger,Jochen W. Schmidt,Guido Walz
Publisher : Birkhäuser
Page : 329 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034888714

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Multivariate Approximation and Splines by Günther Nürnberger,Jochen W. Schmidt,Guido Walz Pdf

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 Approximation: From CAGD to Wavelets

K Jetter,F I Utreras
Multivariate Approximation From CAGD to Wavelets Book PDF

Author : K Jetter,F I Utreras
Publisher : World Scientific
Page : 348 pages
File Size : 42,9 Mb
Release : 1993-11-30
Category : Electronic
ISBN : 9789814602525

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Multivariate Approximation: From CAGD to Wavelets by K Jetter,F I Utreras Pdf

Contents: Fast Algorithms for Simultaneous Polynomial Approximation (G Baszenski & M Tasche)α-Spline of Smoothing for Correlated Errors in Dimension Two (M Bozzini & L Lenarduzzi)New Developments in the Theory of Radial Basis Function Interpolation (M D Buhmann)Realization of Neural Networks with One Hidden Layer (C K Chui & X Li)A General Method for Constrained Curves with Boundary Conditions (P Costantini)Sign-Regular and Totally Positive Matrices: An Algorithmic Approach (M Gasca & J M Peña)Some Results on Blossoming and Multivariate B-Splines (R Gormaz & P-J Laurent)Riesz Bounds in Scattered Data Interpolation and L2-Approximation (K Jetter)On Multivariate Hermite Polynomial Interpolation (A Le Méhauté)Quantitative Approximation Results for Sigma-Pi-Type Neural Network Operators (B Lenze)Local Interpolation Schemes — From Curves to Surfaces (D Levin)Some Results on Approximation by Smoothing Dm-Splines (M C L de Silanes) Readership: Applied mathematicians.

Topics in Multivariate Approximation and Interpolation

Kurt Jetter,Martin Buhmann,Werner Haussmann,Robert Schaback,Joachim Stoeckler
Topics in Multivariate Approximation and Interpolation Book PDF

Author : Kurt Jetter,Martin Buhmann,Werner Haussmann,Robert Schaback,Joachim Stoeckler
Publisher : Elsevier
Page : 357 pages
File Size : 40,8 Mb
Release : 2005-11-15
Category : Mathematics
ISBN : 9780080462042

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Topics in Multivariate Approximation and Interpolation by Kurt Jetter,Martin Buhmann,Werner Haussmann,Robert Schaback,Joachim Stoeckler Pdf

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

Recent Developments in Multivariate and Random Matrix Analysis

Thomas Holgersson,Martin Singull
Recent Developments in Multivariate and Random Matrix Analysis Book PDF

Author : Thomas Holgersson,Martin Singull
Publisher : Springer Nature
Page : 377 pages
File Size : 51,8 Mb
Release : 2020-09-17
Category : Mathematics
ISBN : 9783030567736

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Recent Developments in Multivariate and Random Matrix Analysis by Thomas Holgersson,Martin Singull Pdf

This volume is a tribute to Professor Dietrich von Rosen on the occasion of his 65th birthday. It contains a collection of twenty original papers. The contents of the papers evolve around multivariate analysis and random matrices with topics such as high-dimensional analysis, goodness-of-fit measures, variable selection and information criteria, inference of covariance structures, the Wishart distribution and growth curve models.

Multivariate Approximation Theory

E. W. Cheney
Multivariate Approximation Theory Book PDF

Author : E. W. Cheney
Publisher : SIAM
Page : 74 pages
File Size : 47,9 Mb
Release : 1986-10-01
Category : Mathematics
ISBN : 9780898712070

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Multivariate Approximation Theory by E. W. Cheney Pdf

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

Multivariate Approximation

Werner Haussmann,K. Jetter,Manfred Reimer
Multivariate Approximation Book PDF

Author : Werner Haussmann,K. Jetter,Manfred Reimer
Publisher : De Gruyter Akademie Forschung
Page : 328 pages
File Size : 49,5 Mb
Release : 1997
Category : Mathematics
ISBN : STANFORD:36105022797216

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Multivariate Approximation by Werner Haussmann,K. Jetter,Manfred Reimer Pdf

This is the third edition of the leading practitioner's work on freedom of information. Designed to provide in-depth legal analysis and practical guidance, this book has become the first port of call for anyone either seeking or handling requests for official information. The latest edition maintains its authorship of expert lawyers. The two years since the previous edition have seen numerous important decisions from the courts and from the Information Tribunal on freedom of information law. The learning from all these has been incorporated into the text, enabling a practitioner to see immediately all relevant cases and the principles that emerge from them.The book is logically organised so that the practitioner can quickly find the topic of choice. The work commences with an historical analysis that sets out the object of the legislation and its relationship with other aspects of public law. Full references to Hansard and other Parliamentary materials is provided. This is followed by a summary of the regime in five comparative jurisdictions, providing a useful testbed for anticipated effects of disclosure and a normative yardstick. The impact of the Human Rights Act 1998 is given separate consideration. Next follows a series of chapters dealing with rights of access under provisions apart from the FOI Act: access to information held by EU bodies; access to information under the Data Protection Act; access to information under the Environmental Information Regulations; public records; and access under numerous other provisions in legislation. Together, these provide the practitioner with sources of access that might otherwise be overlooked. All are arranged thematically.The book then considers practical aspects of information requests: the persons who may make them; the bodies to whom they may be made; the time allowed for responding; the modes of response; fees and vexatious requests; the duty to advise and assist; the codes of practice; government guidance and its status; transferring of requests; third party consultation.The next 13 chapters, comprising over half the book, are devoted to exemptions. These start with two important chapters dealing with general principles, including the notions of "prejudice" and the "public interest." The arrangement of these chapters reflects the arrangement of the FOI Act, but the text is careful to include analogous references to the Environmental Information Regulations and the Data Protection Act 1998. With each chapter, the exemption is carefully analysed, starting with its Parliamentary history (giving full references to Hansard and other Parliamentary material) and the treatment given in the comparative jurisdictions. The analysis then turns to consider all court judgments and tribunal decisions dealing with the exemption. The principles are stated in the text, with footnotes giving all available references. Whether to prepare a case or to prepare a response to a request, these chapters allow the practitioner to get on top of the exemption rapidly and authoritatively.The book concludes with three chapters setting out the role of the Information Commissioner and the Tribunal, appeals and enforcement. The chapter on appeals allows the practitioner to be familiar with the processes followed in the tribunal, picking up on the jurisprudence as it has emerged over the last five or so years.Appendices include: precedent requests for information; a step-by-step guide to responding to a request; comparative tables; and a table of the FOI Act's Parliamentary history. Finally, the book includes an annotated copy of the FOIA Act, the Data Protection Act 1998, the Environmental Information Regulations 2004, all subordinate legislation made under them, EU legislation, Tribunal rules and practice directions, and the Codes of Practice.Throughout the book, full web references are given (including to all cases), facilitating ready access to primary material.From the reviews of previous editions:"The depth of analysis and thought that Philip Coppel brings to the topic is evident throughout....Careful analysis is a hallmark of the book which reflects, not merely an academic interest in the legal regime but a real and active interest in the wider societal issues involved in the development of the law in this area.... The text delivers excellent value for anyone working seriously in this area." - Rosemary Jay in Freedom of Information Journal"Encyclopaedic and authoritative...a very useful guide to practitioners as well as those seeking official information" - New Law Journal"This is not just a book for the library it is also a book to be held close at hand on any practitioner's desk, or in any public authority boardroom - the hope expressed by Coppel that his book will assist in resolving [FOI Act] complexities and in revealing its subtleties is realised in a well composed and intelligently written volume." - Solicitors Journal"...The best single resource in this area of the law.... Any practitioner who needs to consider information rights owes a considerable debt of thanks to Philip Coppel and his fellow authors." - Jonathan Crow QC in Public Law"This is an outstanding piece of legal scholarship, which will provide invaluable assistance to practitioners interested in information rights whether they be based in the United Kingdom or in comparable overseas jurisdictions." - John Griffiths SC in Australian Journal of Administrative Law

New Developments in Approximation Theory

Manfred W. Müller,Martin D. Buhmann,Detlef Mache,Michael Felten
New Developments in Approximation Theory Book PDF

Author : Manfred W. Müller,Martin D. Buhmann,Detlef Mache,Michael Felten
Publisher : Springer
Page : 337 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034886963

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New Developments in Approximation Theory by Manfred W. Müller,Martin D. Buhmann,Detlef Mache,Michael Felten Pdf

A collection of papers by international contributors describing new developments in the fields of univariate and multivariate approximation theory. This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e.g. computerized tomography).

Advances in Multivariate Approximation

Werner Haußmann,Kurt Jetter,Manfred Reimer
Advances in Multivariate Approximation Book PDF

Author : Werner Haußmann,Kurt Jetter,Manfred Reimer
Publisher : Wiley-VCH
Page : 344 pages
File Size : 45,6 Mb
Release : 1999-11-12
Category : Mathematics
ISBN : UOM:39015050821100

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Advances in Multivariate Approximation by Werner Haußmann,Kurt Jetter,Manfred Reimer Pdf

This volume deals with main results of the 3rd International Conference on Multivariate Approximation, organized by the University of Dortmund. Special emphasis is put on the following topics: Interpolation and approximation on spheres and balls, approximation by solutions of differential equations, construction of node systems, scattered data techniques.

Topics in Multivariate Approximation

C. K. Chui,L. L. Schumaker,F.I. Utreras
Topics in Multivariate Approximation Book PDF

Author : C. K. Chui,L. L. Schumaker,F.I. Utreras
Publisher : Elsevier
Page : 346 pages
File Size : 50,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483271002

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Topics in Multivariate Approximation by C. K. Chui,L. L. Schumaker,F.I. Utreras Pdf

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.

Trends and Applications in Constructive Approximation

Detlef H. Mache,József Szabados,Marcel G. de Bruin
Trends and Applications in Constructive Approximation Book PDF

Author : Detlef H. Mache,József Szabados,Marcel G. de Bruin
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 53,5 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783764373566

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Trends and Applications in Constructive Approximation by Detlef H. Mache,József Szabados,Marcel G. de Bruin Pdf

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.

Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

Rainer Ansorge,Hester Bijl,Andreas Meister,Thomas Sonar
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws Book PDF

Author : Rainer Ansorge,Hester Bijl,Andreas Meister,Thomas Sonar
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 50,8 Mb
Release : 2012-09-14
Category : Technology & Engineering
ISBN : 9783642332203

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Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws by Rainer Ansorge,Hester Bijl,Andreas Meister,Thomas Sonar Pdf

In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.

Multivariate Approximation

V. Temlyakov
Multivariate Approximation Book PDF

Author : V. Temlyakov
Publisher : Cambridge University Press
Page : 551 pages
File Size : 44,9 Mb
Release : 2018-07-19
Category : Computers
ISBN : 9781108428750

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Multivariate Approximation by V. Temlyakov Pdf

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

Trends and Applications in Constructive Approximation

Marcel G. de Bruin
Trends and Applications in Constructive Approximation Book PDF

Author : Marcel G. de Bruin
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 45,6 Mb
Release : 2005-05-19
Category : Mathematics
ISBN : 3764371242

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Trends and Applications in Constructive Approximation by Marcel G. de Bruin Pdf

During the last years, constructive approximation has reached out to enc- pass the computational and approximation-theoretical aspects of di?erent ?elds in applied mathematics, including multivariate approximation methods, qua- interpolation, and multivariate approximation by (orthogonal) polynomials, as well as modern mathematical developments in neuro fuzzy approximation, R- networks, industrial and engineering applications. Following the tradition of our internationalBommerholz conferencesin 1995, 1998, and 2001 we regard this 4th IBoMAT meeting as an important possibility for specialists in the ?eld of applied mathematics to communicateabout new ideas with colleaguesfrom 15 di?erent countries all over Europe and as far awayas New Zealand and the U.S.A. The conference in Witten Bommerholz was, as always, held in a very friendly and congenial atmosphere. The IBoMAT-series editor Detlef H. Mache (Bochum) would like to congr- ulate Marcel de Bruin (Delft) and Joz ́ sef Szabados (Budapest) for an excellent editing job of this 4th volume about Trends and Applications in constructive - proximation. After the previous three published books in Akademie Verlag (1995) and Birkh ̈ auser Verlag (1999 and 2003) we were pleased with the high quality of the contributions which could be solicited for the book. They are refereed and we should mention our gratitude to the referees and their reports.