Selected Topics In Approximation And Computation PDF Download
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Author | : Marek Kowalski |
Publisher | : Oxford University Press |
Total Pages | : 366 |
Release | : 1995-08-31 |
Genre | : Mathematics |
ISBN | : 0195359771 |
Download Selected Topics in Approximation and Computation Book in PDF, ePub and Kindle
Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals.
Author | : Marek A. Kowalski |
Publisher | : |
Total Pages | : 349 |
Release | : 1995 |
Genre | : Approximation theory |
ISBN | : 9780197560402 |
Download Selected Topics in Approximation and Computation Book in PDF, ePub and Kindle
'Selected Topics in Approximation and Computation' is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including sinc methods, elliptic function methods and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods e=with the theory of s-numbers and m-widths.
Author | : E. W. Cheney |
Publisher | : SIAM |
Total Pages | : 74 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 9781611970197 |
Download Multivariate Approximation Theory Book in PDF, ePub and Kindle
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.
Author | : Vijay Gupta |
Publisher | : Springer Nature |
Total Pages | : 107 |
Release | : 2021-11-29 |
Genre | : Mathematics |
ISBN | : 3030855635 |
Download Computation and Approximation Book in PDF, ePub and Kindle
This brief studies recent work conducted on certain exponential type operators and other integral type operators. It consists of three chapters: the first on exponential type operators, the second a study of some modifications of linear positive operators, and the third on difference estimates between two operators. It will be of interest to students both graduate and undergraduate studying linear positive operators and the area of approximation theory.
Author | : Kurt Jetter |
Publisher | : Elsevier |
Total Pages | : 357 |
Release | : 2005-11-15 |
Genre | : Mathematics |
ISBN | : 0080462049 |
Download Topics in Multivariate Approximation and Interpolation Book in PDF, ePub and Kindle
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
Author | : Lloyd N. Trefethen |
Publisher | : SIAM |
Total Pages | : 375 |
Release | : 2019-01-01 |
Genre | : Mathematics |
ISBN | : 1611975948 |
Download Approximation Theory and Approximation Practice, Extended Edition Book in PDF, ePub and Kindle
This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.
Author | : Vijay V. Vazirani |
Publisher | : Springer Science & Business Media |
Total Pages | : 380 |
Release | : 2013-03-14 |
Genre | : Computers |
ISBN | : 3662045656 |
Download Approximation Algorithms Book in PDF, ePub and Kindle
Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.
Author | : Theodore J. Rivlin |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981-01-01 |
Genre | : Mathematics |
ISBN | : 9780486640693 |
Download An Introduction to the Approximation of Functions Book in PDF, ePub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : Ding-Zhu Du |
Publisher | : Springer Science & Business Media |
Total Pages | : 450 |
Release | : 2011-11-18 |
Genre | : Mathematics |
ISBN | : 1461417015 |
Download Design and Analysis of Approximation Algorithms Book in PDF, ePub and Kindle
This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.
Author | : Mikhail J. Atallah |
Publisher | : CRC Press |
Total Pages | : 932 |
Release | : 2009-11-20 |
Genre | : Computers |
ISBN | : 1584888210 |
Download Algorithms and Theory of Computation Handbook, Volume 2 Book in PDF, ePub and Kindle
Algorithms and Theory of Computation Handbook, Second Edition: Special Topics and Techniques provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems.Along with updating and revising many of