Chebyshev Polynomials

Chebyshev Polynomials PDF
Author: J.C. Mason
Publisher: CRC Press
ISBN: 1420036114
Size: 45.71 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 360
View: 6535

Get Book

Chebyshev Polynomials

by J.C. Mason, Chebyshev Polynomials Books available in PDF, EPUB, Mobi Format. Download Chebyshev Polynomials books, Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focused primarily on the theoretical aspects. A broad, up-to-date treatment is long overdue. Providing highly readable exposition on the subject's state of the art, Chebyshev Polynomials is just such a treatment. It includes rigorous yet down-to-earth coverage of the theory along with an in-depth look at the properties of all four kinds of Chebyshev polynomials-properties that lead to a range of results in areas such as approximation, series expansions, interpolation, quadrature, and integral equations. Problems in each chapter, ranging in difficulty from elementary to quite advanced, reinforce the concepts and methods presented. Far from being an esoteric subject, Chebyshev polynomials lead one on a journey through all areas of numerical analysis. This book is the ideal vehicle with which to begin this journey and one that will also serve as a standard reference for many years to come.


The Chebyshev Polynomials

The Chebyshev Polynomials PDF
Author: Theodore J. Rivlin
Publisher: Wiley-Interscience
ISBN:
Size: 49.92 MB
Format: PDF, ePub
Category : Chebyshev polynomials
Languages : en
Pages : 186
View: 2645

Get Book

The Chebyshev Polynomials

by Theodore J. Rivlin, The Chebyshev Polynomials Books available in PDF, EPUB, Mobi Format. Download The Chebyshev Polynomials books,


Chebyshev Polynomials

Chebyshev Polynomials PDF
Author: Theodore J. Rivlin
Publisher: Courier Dover Publications
ISBN: 0486842339
Size: 48.41 MB
Format: PDF, Docs
Category : Chebyshev polynomials
Languages : en
Pages : 272
View: 3815

Get Book

Chebyshev Polynomials

by Theodore J. Rivlin, Chebyshev Polynomials Books available in PDF, EPUB, Mobi Format. Download Chebyshev Polynomials books, This survey of the most important properties of Chebyshev polynomials encompasses several areas of mathematical analysis: - Interpolation theory - Orthogonal polynomials - Approximation theory - Numerical integration - Numerical analysis - Ergodic theory Starting with some definitions and descriptions of elementary properties, the treatment advances to examinations of extremal properties, the expansion of functions in a series of Chebyshev polynomials, and iterative properties. The final chapter explores selected algebraic and number theoretic properties of the Chebyshev polynomials. For advanced undergraduates and graduate students in mathematics Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material.


Tables Of Chebyshev Polynomials

Tables of Chebyshev Polynomials PDF
Author: United States. National Bureau of Standards
Publisher:
ISBN:
Size: 24.57 MB
Format: PDF, ePub
Category : Chebyshev polynomials
Languages : en
Pages : 161
View: 4074

Get Book

Tables Of Chebyshev Polynomials

by United States. National Bureau of Standards, Tables Of Chebyshev Polynomials Books available in PDF, EPUB, Mobi Format. Download Tables Of Chebyshev Polynomials books,


On The Use Of Chebyshev Polynomials In Numerical Analysis

On the Use of Chebyshev Polynomials in Numerical Analysis PDF
Author: Arnold N. Lowan
Publisher:
ISBN:
Size: 56.49 MB
Format: PDF, ePub, Docs
Category : Chebyshev polynomials
Languages : en
Pages : 21
View: 2632

Get Book

On The Use Of Chebyshev Polynomials In Numerical Analysis

by Arnold N. Lowan, On The Use Of Chebyshev Polynomials In Numerical Analysis Books available in PDF, EPUB, Mobi Format. Download On The Use Of Chebyshev Polynomials In Numerical Analysis books, This report discusses the use of Chebyshev polynomials in the problem of interpolation and curve fitting and in the very important problem of obtaining "economized expansions" of differential equations, either in the form of polynomials in x or in the form of polynomials in 1/x.


Multivariate Approximation And Splines

Multivariate Approximation and Splines PDF
Author: G. Nurnberger
Publisher: Springer Science & Business Media
ISBN: 9783764356545
Size: 53.16 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 324
View: 4133

Get Book

Multivariate Approximation And Splines

by G. Nurnberger, Multivariate Approximation And Splines Books available in PDF, EPUB, Mobi Format. Download Multivariate Approximation And Splines books, This book contains the refereed papers which were presented at the international conference on multivariate approximation and splines held in Mannheim, Germany, on September 7-10, 1996. Fifty experts from Bulgaria, England, France, Israel, the Netherlands, Norway, Poland, Switzerland, Ukraine, the USA, and Germany participated in the symposium. The manuscripts cover a variety of topics from the rapidly developing field of multivariate approximation, including interpolation, data fitting, splines, radial basis functions, neural networks, computer-aided design, wavelets, subdivision, optimization, differential equations, and numerical integration. The research has applications in areas such as industrial production, visualization, image and signal processing, cognitive systems, and modeling in medicine and natural sciences. Series: International Series of Numerical Mathematics, Volume 125 Contents: Preface Multivariate Inequalities of Kolmogorov Type and Their Applications V. F. Babenko, V. A. Kofanov and S. A. Pichugov Monotone Iterative Technique for Impulsive Differential-Difference Equations with Variable Impulsive Perturbations D. Bainov, A. Dishliev, and S. Hristova Multivariate Cosine Wavelets K. Bittner, C. K. Chui, and J. Prestin On Almost Interpolation by Multivariate Splines O. Davydov, M. Sommer, and H. Strauss Locally Linearly Independent Systems and Almost Interpolation O. Davydov, M. Sommer and H. Strauss Exponential-Type Approximation in Multivariate Harmonic Hilbert Spaces F.-J. Delvos Interpolation by Continuous Function Spaces M. von Golitschek Discrete Characterization of Besov Spaces and Its Applications to Stochastics A. Kamont One-Sided Approximation and Interpolation Operators Generating Hyperbolic Sigma-Pi Neural Networks B. Lenze Unconstrained Minimization of Quadratic Splines and Applications W. Li Interpolation by Translates of a Basis Function W. Light On the Sup-Norm Condition Number of the Multivariate Triangular Bernstein Basis T. Lyche and K. Scherer Integration Methods of Clenshaw-Curtis Type, Based on Four Kinds of Chebyshev Polynomials J. C. Mason and E. Venturino Tensor Products of Convex Cones B. Mulansky The Curse of Dimension and a Universal Method for Numerical Integration E. Novak and K. Ritter Interpolation by Bivariate Splines on Crosscut Partitions G. Nurnberger, O.V. Davydov, G. Walz and F. Zeilfelder Necessary and Sufficient Conditions for Orthonormality of Scaling Vectors G. Plonka Trigonometric Preconditioners for Block Toeplitz Systems D. Potts, G. Steidl, and M. Tasche The Average Size of Certain Gram-Determinants and Interpolation on Non-Compact Sets M. Reimer Radial Basis Functions Viewed From Cubic Splines R. Schaback Wavelet Modeling of High Resolution Radar Imaging and Clinical Magnetic Resonance Tomography W. Schempp A New Interpretation of the Sampling Theorem and its Extension G. Schmeisser and J.J. Voss Gridded Data Interpolation with Restrictions on the First Order Derivatives J.W. Schmidt and M. Walther Affine Frames and Multiresolution J. Stoekler List of Participants


Tables Of Chebyshev Polynomials

Tables of Chebyshev Polynomials PDF
Author: Clement Workman Jones
Publisher:
ISBN:
Size: 72.12 MB
Format: PDF
Category : Chebyshev polynomials
Languages : en
Pages : 210
View: 7183

Get Book

Tables Of Chebyshev Polynomials

by Clement Workman Jones, Tables Of Chebyshev Polynomials Books available in PDF, EPUB, Mobi Format. Download Tables Of Chebyshev Polynomials books,


Chebyshev Polynomials In The Spectral Tau Method And Applications To Eigenvalue Problems

Chebyshev Polynomials in the Spectral Tau Method and Applications to Eigenvalue Problems PDF
Author:
Publisher:
ISBN:
Size: 44.31 MB
Format: PDF, ePub, Mobi
Category :
Languages : en
Pages : 52
View: 6431

Get Book

Chebyshev Polynomials In The Spectral Tau Method And Applications To Eigenvalue Problems

by , Chebyshev Polynomials In The Spectral Tau Method And Applications To Eigenvalue Problems Books available in PDF, EPUB, Mobi Format. Download Chebyshev Polynomials In The Spectral Tau Method And Applications To Eigenvalue Problems books,


Orthogonal Polynomials In Two Variables

Orthogonal Polynomials in Two Variables PDF
Author: P. K. Suetin
Publisher: CRC Press
ISBN: 9789056991678
Size: 17.79 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 368
View: 7501

Get Book

Orthogonal Polynomials In Two Variables

by P. K. Suetin, Orthogonal Polynomials In Two Variables Books available in PDF, EPUB, Mobi Format. Download Orthogonal Polynomials In Two Variables books, Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.