Interpolation And Approximation By Rational Functions In The Complex Domain
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Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 1935-12-31
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1935-12-31 with Mathematics categories.
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher:
Release Date : 1935
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1935 with Functions categories.
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generaliz.
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : Joseph Leonard Walsh (Mathematiker)
language : en
Publisher:
Release Date : 1956
Interpolation And Approximation By Rational Functions In The Complex Domain written by Joseph Leonard Walsh (Mathematiker) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 1965
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
Interpolation And Approximation By Rational Functions In The Complex Domain By J L Walsh 2nd Edition
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Author : Joseph Leonard Walsh
language : en
Publisher:
Release Date : 1956
Interpolation And Approximation By Rational Functions In The Complex Domain By J L Walsh 2nd Edition written by Joseph Leonard Walsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.
Interpolation And Approximation By Rational Functions In The Complex Domains
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Author : J.L. Walsh
language : en
Publisher:
Release Date : 1956
Interpolation And Approximation By Rational Functions In The Complex Domains written by J.L. Walsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.
Walter Gautschi Volume 1
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Author : Claude Brezinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-22
Walter Gautschi Volume 1 written by Claude Brezinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Mathematics categories.
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi
Interpolation By Harmonic Polynomials
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Author : John Hamilton Curtiss
language : en
Publisher:
Release Date : 1961
Interpolation By Harmonic Polynomials written by John Hamilton Curtiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Interpolation categories.
Let Hn (u;z) denote the harmonic polynomial of degree at most n found by interpolation in 2n +1 points in a function u given on the boundary C of a region D of the complex z-plane. Explict formulas are derived for Hn in the case of interpolation on a circle and on an ellipse, and convergence is proved in these cases for arbitrary continuous boundary data. Various generalizations are indicated.
Selected Papers
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Author : Joseph L. Walsh
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-11
Selected Papers written by Joseph L. Walsh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-11 with Mathematics categories.
This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".
Generalized Multipole Techniques For Electromagnetic And Light Scattering
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Author : T. Wriedt
language : en
Publisher: Elsevier
Release Date : 1999-12-01
Generalized Multipole Techniques For Electromagnetic And Light Scattering written by T. Wriedt and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-01 with Technology & Engineering categories.
This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT). The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods. These include the multiple multipole method (MMP), the discrete sources method (DSM), Yasuura's method, method of auxiliary sources and null-field method with discrete sources. Each paper presents a full theoretical description as well as some applications of the method in electrical engineering and optics. It also includes both 2D and 3D methods and other applications developed in the former Soviet Union and Japan.