Approximation Of Functions By Polynomials And Splines

Author : S. B. Stechkin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830499
Total Pages : 280 pages
Book Rating : 4.9X/5 ( download)

DOWNLOAD NOW!

Download or read book Approximation of Functions by Polynomials and Splines written by S. B. Stechkin and published by American Mathematical Soc.. This book was released on 1981 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers and articles about polynomials and splines pproximation.

Author : Larry L. Schumaker
Publisher : SIAM
ISBN 13 : 1611973899
Total Pages : 420 pages
Book Rating : 4.91/5 ( download)

DOWNLOAD NOW!

Download or read book Spline Functions written by Larry L. Schumaker and published by SIAM. This book was released on 2015-08-13 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes in detail the key algorithms needed for computing with spline functions and illustrates their use in solving several basic problems in numerical analysis, including function approximation, numerical quadrature, data fitting, and the numerical solution of PDE?s. The focus is on computational methods for bivariate splines on triangulations in the plane and on the sphere, although both univariate and tensor-product splines are also discussed.? The book contains numerous examples and figures to illustrate the methods and their performance. All of the algorithms in the book have been coded in a separate MATLAB? package available for license. The package can be used to run all of the examples in the book and also provides readers with the essential tools needed to create software for their own applications. In addition to the included bibliography, a list of over 100 pages of additional references can be found on the book?s website. ?

Author : Theodore J. Rivlin
Publisher : Courier Corporation
ISBN 13 : 9780486640693
Total Pages : 164 pages
Book Rating : 4.98/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to the Approximation of Functions written by Theodore J. Rivlin and published by Courier Corporation. This book was released on 1981-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Author : Albert Y. Zomaya
Publisher : Springer
ISBN 13 : 9780387516189
Total Pages : 0 pages
Book Rating : 4.82/5 ( download)

DOWNLOAD NOW!

Download or read book Handbook of Nature-Inspired and Innovative Computing written by Albert Y. Zomaya and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computing devices proliferate, demand increases for an understanding of emerging computing paradigms and models based on natural phenomena. Neural networks, evolution-based models, quantum computing, and DNA-based computing and simulations are all a necessary part of modern computing analysis and systems development. Vast literature exists on these new paradigms and their implications for a wide array of applications. This comprehensive handbook, the first of its kind to address the connection between nature-inspired and traditional computational paradigms, is a repository of case studies dealing with different problems in computing and solutions to these problems based on nature-inspired paradigms. The "Handbook of Nature-Inspired and Innovative Computing: Integrating Classical Models with Emerging Technologies" is an essential compilation of models, methods, and algorithms for researchers, professionals, and advanced-level students working in all areas of computer science, IT, biocomputing, and network engineering.

Author : Larry L. Schumaker
Publisher : Krieger Publishing Company
ISBN 13 : 9780894647710
Total Pages : 553 pages
Book Rating : 4.17/5 ( download)

DOWNLOAD NOW!

Download or read book Spline Functions written by Larry L. Schumaker and published by Krieger Publishing Company. This book was released on 1993 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Boris I Kvasov
Publisher : World Scientific
ISBN 13 : 981449447X
Total Pages : 356 pages
Book Rating : 4.72/5 ( download)

DOWNLOAD NOW!

Download or read book Methods Of Shape-preserving Spline Approximation written by Boris I Kvasov and published by World Scientific. This book was released on 2000-07-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces.Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.

Author : M. J. D. Powell
Publisher : Cambridge University Press
ISBN 13 : 9780521295147
Total Pages : 356 pages
Book Rating : 4.49/5 ( download)

DOWNLOAD NOW!

Download or read book Approximation Theory and Methods written by M. J. D. Powell and published by Cambridge University Press. This book was released on 1981-03-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

Author : G.H Kirov
Publisher : CRC Press
ISBN 13 : 9780750301817
Total Pages : 266 pages
Book Rating : 4.13/5 ( download)

DOWNLOAD NOW!

Download or read book Approximation with Quasi-Splines written by G.H Kirov and published by CRC Press. This book was released on 1992-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension of this, allowing us to use any useful class of functions adapted to the problem. Approximation with Quasi-Splines is a detailed account of this highly useful technique in numerical analysis. The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he calls "cubature." This book should be required reading for all practitioners of the methods of approximation, including researchers, teachers, and students in applied, numerical and computational mathematics.

Author : P. M. Prenter
Publisher : Courier Corporation
ISBN 13 : 0486469026
Total Pages : 338 pages
Book Rating : 4.27/5 ( download)

DOWNLOAD NOW!

Download or read book Splines and Variational Methods written by P. M. Prenter and published by Courier Corporation. This book was released on 2008-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the clearest available introductions to variational methods, this text requires only a minimal background in linear algebra and analysis. It explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. Many helpful definitions, examples, and exercises appear throughout the book. 1975 edition.

Author : B.N. Sahney
Publisher : Springer
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.06/5 ( download)

DOWNLOAD NOW!

Download or read book Polynomial and Spline Approximation written by B.N. Sahney and published by Springer. This book was released on 1979-05-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Calgary, Canada, August 26-September 2, 1978