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Author : Matti Mäkelä
Publisher :
ISBN 13 : 9789514101502
Total Pages : 12 pages
Book Rating : 4.1/5 (15 download)
Download or read book On Some Generalized Hermite-Birkhoff Interpolation Problems written by Matti Mäkelä and published by . This book was released on 1974 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. J. Schoenberg
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (254 download)
Download or read book On Hermite-Birkhoff Interpolation written by I. J. Schoenberg and published by . This book was released on 1966 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theorem of Polya (1931) concerning the existence of a unique polynomial solution to an interpolation problem of the kind studied by G.D. Birkhoff (1906) is generalized from Polya's case of only two nodes to a more general type of interpolation problem here described as of the quasi-Hermite type. (Author).
Author : G. G. Lorentz
Publisher : Cambridge University Press
ISBN 13 : 9780521302395
Total Pages : 308 pages
Book Rating : 4.3/5 (23 download)
Download or read book Birkhoff Interpolation written by G. G. Lorentz and published by Cambridge University Press. This book was released on 1984-12-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.
Author : Günter Mühlbach
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (551 download)
Download or read book An Algorithmic Approach to the General Linear Interpolation Problem with Applications to Hermite-Birkhoff-Interpolation written by Günter Mühlbach and published by . This book was released on 1979 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolph A. Lorentz
Publisher : Springer
ISBN 13 : 3540473009
Total Pages : 200 pages
Book Rating : 4.5/5 (44 download)
Download or read book Multivariate Birkhoff Interpolation written by Rudolph A. Lorentz and published by Springer. This book was released on 2006-11-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to this subject which was introduced and developed by G.G. Lorentz and the author. One particularly interesting feature of this algorithmic approach is that it obviates the necessity of finding a formula for the Vandermonde determinant of a multivariate interpolation in order to determine its regularity (which formulas are practically unknown anyways) by determining the regularity through simple geometric manipulations in the Euclidean space. Although interpolation is a classical problem, it is surprising how little is known about its basic properties in the multivariate case. The book therefore starts by exploring its fundamental properties and its limitations. The main part of the book is devoted to a complete and detailed elaboration of the new technique. A chapter with an extensive selection of finite elements follows as well as a chapter with formulas for Vandermonde determinants. Finally, the technique is applied to non-standard interpolations. The book is principally oriented to specialists in the field. However, since all the proofs are presented in full detail and since examples are profuse, a wider audience with a basic knowledge of analysis and linear algebra will draw profit from it. Indeed, the fundamental nature of multivariate nature of multivariate interpolation is reflected by the fact that readers coming from the disparate fields of algebraic geometry (singularities of surfaces), of finite elements and of CAGD will also all find useful information here.
Author : Ying Guang Shi
Publisher : Nova Publishers
ISBN 13 : 9781590336922
Total Pages : 266 pages
Book Rating : 4.3/5 (369 download)
Download or read book Theory of Birkhoff Interpolation written by Ying Guang Shi and published by Nova Publishers. This book was released on 2003 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpolation by polynomials is a very old subject. The first systematic work was due to Newton in the seventeenth century. Lagrange developed his formula only a little later. In 1878 Hermie introduced so called Hermite interpolation. In 1906 Birkhoff published the first paper on lacunary (or Birkhoff) interpolation whose information about a function and its derivatives is irregular. It turns out that the Birkhoff interpolation problem is very difficult. The reasons are: the solvability of the problem is equivalent to non-singularity of the coefficient matrix of higher order, which of course is not easy to determine in general; should the solvability of the problem be known, it is difficult to get an explicit representation of the solution; although an explicit representation of the solution in some special cases can be acquired, it is usually complicated and is hard to study. This book is largely self-contained. It begins with the definitions and elementary properties of Birkhoff interpolation, to be followed by the formulating of the fundamental theorems for regularity and comparison theorems; also investigated are fundamental polynomials of interpolation in details. Interpolation follow.
Author : Yasuhiko Ikebe
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (729 download)
Download or read book Hermite-Birkhoff Interpolation Problems in Haar Subspaces written by Yasuhiko Ikebe and published by . This book was released on 1971 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y. Ikebe
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (12 download)
Download or read book Hermite-birkhoff Interpolation Problems in Haar Subspaces written by Y. Ikebe and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1282 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1982 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author :
Publisher :
ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.:/5 (36 download)
Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1975 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Armin Iske
Publisher : Springer Science & Business Media
ISBN 13 : 3540465510
Total Pages : 389 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algorithms for Approximation written by Armin Iske and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.
Author : Nicholas J. Daras
Publisher : Springer
ISBN 13 : 3319182757
Total Pages : 754 pages
Book Rating : 4.3/5 (191 download)
Download or read book Computation, Cryptography, and Network Security written by Nicholas J. Daras and published by Springer. This book was released on 2015-09-16 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.
Author : M.G. de Bruin
Publisher : Springer
ISBN 13 : 3540386068
Total Pages : 393 pages
Book Rating : 4.5/5 (43 download)
Download or read book Pade Approximation and its Applications, Amsterdam 1980 written by M.G. de Bruin and published by Springer. This book was released on 2006-12-08 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. K. Govil
Publisher : CRC Press
ISBN 13 : 1420011383
Total Pages : 476 pages
Book Rating : 4.4/5 (2 download)
Download or read book Frontiers in Interpolation and Approximation written by N. K. Govil and published by CRC Press. This book was released on 2006-07-20 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.
Author : R. S. Varga
Publisher : SIAM
ISBN 13 : 0898710030
Total Pages : 81 pages
Book Rating : 4.8/5 (987 download)
Download or read book Functional Analysis and Approximation Theory in Numerical Analysis written by R. S. Varga and published by SIAM. This book was released on 1971-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.
Author : Moni Naor
Publisher : Springer
ISBN 13 : 354024638X
Total Pages : 533 pages
Book Rating : 4.5/5 (42 download)
Download or read book Theory of Cryptography written by Moni Naor and published by Springer. This book was released on 2004-03-23 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the first International Theory of Cryptography Conference, TCC 2004, held in Cambridge, MA, USA in February 2004. The 28 revised full papers presented were carefully reviewed and selected from 70 submissions. The papers constitute a unique account of original research results on theoretical and foundational topics in cryptography; they deal with the paradigms, approaches, and techniques used to conceptualize, define, and provide solutions to natural cryptographic problems.
Author :
Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.:/5 (318 download)
Download or read book Annales Academiae Scientiarum Fennicae written by and published by . This book was released on 1979 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
