Download or read book Recent Progress in Multivariate Approximation written by Werner Haussmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Recent Progress in Multivariate Approximation written by Werner Haussmann and published by Birkhauser. This book was released on 2001 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Advances in Multivariate Approximation written by Werner Haußmann and published by Wiley-VCH. This book was released on 1999-11-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Modern developments in multivariate approximation written by Werner Haussmann and published by Springer Science & Business Media. This book was released on 2003-10-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Topics in Multivariate Approximation Theory written by Carl De Boor and published by . This book was released on 1982 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures delivered at the S.R.C. Numerical Analysis Summer School and Workshop at the University of Lancaster, England, July 19 - August 20, 1981. Topics include tensor products, multivariate polynomial interpolation, esp. Kergin Interpolation, and the recent developments of multivariate B-splines. (Author).

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.

Download or read book Recent Developments in Multivariate and Random Matrix Analysis written by Thomas Holgersson and published by Springer Nature. This book was released on 2020-09-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multivariate Approximation written by Werner Haussmann and published by De Gruyter Akademie Forschung. This book was released on 1997 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book New Developments in Approximation Theory written by Manfred W. Müller and published by Springer. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book Multivariate Approximation Theory written by E. W. Cheney and published by SIAM. This book was released on 1986-10-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the development of algorithms or the derivation of approximations from linear projections.

Download or read book Multivariate Approximation From Cagd To Wavelets Proceedings Of The International Workshop written by Kurt Jetter and published by World Scientific. This book was released on 1993-11-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Topics in Multivariate Approximation and Interpolation written by Kurt Jetter and published by Elsevier. This book was released on 2005-11-15 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.

Download or read book Recent Advances in Constructive Approximation Theory written by Vijay Gupta and published by Springer. This book was released on 2018-07-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators.

Download or read book Multivariate Approximation Theory II written by Schempp and published by Birkhäuser. This book was released on 2012-12-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.