Prolate Spheroidal Wave Functions Of Order Zero
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Prolate Spheroidal Wave Functions Of Order Zero
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Author : Andrei Osipov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-12
Prolate Spheroidal Wave Functions Of Order Zero written by Andrei Osipov 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 2013-10-12 with Mathematics categories.
Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.
Prolate Spheroidal Wave Functions Of Order Zero
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Author : Andrei Osipov
language : en
Publisher: Springer
Release Date : 2013-10-12
Prolate Spheroidal Wave Functions Of Order Zero written by Andrei Osipov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-12 with Mathematics categories.
Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.
Spheroidal Wave Functions
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Author : Carson Flammer
language : en
Publisher: Courier Corporation
Release Date : 2014-03-05
Spheroidal Wave Functions written by Carson Flammer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal coordinates. Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products. Additional subjects include recurrence relations of Whittaker type, asymptotic expansions for large values of c, and vector wave functions. The text concludes with an appendix, references, and tables of numerical values.
Theory And Applications Of Gaussian Quadrature Methods
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Author : Narayan Kovvali
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Theory And Applications Of Gaussian Quadrature Methods written by Narayan Kovvali and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
Gaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. We study the approximation theory of trigonometric and orthogonal polynomials and related functions and examine the analytical framework of Gaussian quadrature. We discuss Gaussian quadrature for bandlimited functions, a topic inspired by some recent developments in the analysis of prolate spheroidal wave functions. Algorithms for the computation of the quadrature nodes and weights are described. Several applications of Gaussian quadrature are given, ranging from the evaluation of special functions to pseudospectral methods for solving differential equations. Software realization of select algorithms is provided. Table of Contents: Introduction / Approximating with Polynomials and Related Functions / Gaussian Quadrature / Applications / Links to Mathematical Software
Tables Of Radial Spheroidal Wave Functions
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Author : Sam Hanish
language : en
Publisher:
Release Date : 1970
Tables Of Radial Spheroidal Wave Functions written by Sam Hanish and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Functions, Spheroidal categories.
Tables Of Radical Spheroidal Wave Functions
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Author : Naval Research Laboratory (U.S.)
language : en
Publisher:
Release Date : 1970
Tables Of Radical Spheroidal Wave Functions written by Naval Research Laboratory (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Spheroidal functions categories.
Tables Of Angular Spheroidal Wave Functions
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Author :
language : en
Publisher:
Release Date : 1975
Tables Of Angular Spheroidal Wave Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Spheroidal functions categories.
Tables Of Angular Spheroidal Wave Functions
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Author : United States. Naval Research Office
language : en
Publisher:
Release Date : 1975
Tables Of Angular Spheroidal Wave Functions written by United States. Naval Research Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Journal Of Research Of The National Bureau Of Standards
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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1970
Journal Of Research Of The National Bureau Of Standards written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Chemistry categories.
The Limits Of Resolution
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Author : Geoffrey de Villiers
language : en
Publisher: CRC Press
Release Date : 2016-10-03
The Limits Of Resolution written by Geoffrey de Villiers and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-03 with Mathematics categories.
"This beautiful book can be read as a novel presenting carefully our quest to get more and more information from our observations and measurements. Its authors are particularly good at relating it." --Pierre C. Sabatier "This is a unique text - a labor of love pulling together for the first time the remarkably large array of mathematical and statistical techniques used for analysis of resolution in many systems of importance today – optical, acoustical, radar, etc.... I believe it will find widespread use and value." --Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics "The mix of physics and mathematics is a unique feature of this book which can be basic not only for PhD students but also for researchers in the area of computational imaging." --Mario Bertero, Professor, University of Geneva "a tour-de-force covering aspects of history, mathematical theory and practical applications. The authors provide a penetrating insight into the often confused topic of resolution and in doing offer a unifying approach to the subject that is applicable not only to traditional optical systems but also modern day, computer-based systems such as radar and RF communications." --Prof. Ian Proudler, Loughborough University "a ‘must have’ for anyone interested in imaging and the spatial resolution of images. This book provides detailed and very readable account of resolution in imaging and organizes the recent history of the subject in excellent fashion.... I strongly recommend it." --Michael A.? Fiddy, Professor, University of North Carolina at Charlotte This book brings together the concept of resolution, which limits what we can determine about our physical world, with the theory of linear inverse problems, emphasizing practical applications. The book focuses on methods for solving illposed problems that do not have unique stable solutions. After introducing basic concepts, the contents address problems with "continuous" data in detail before turning to cases of discrete data sets. As one of the unifying principles of the text, the authors explain how non-uniqueness is a feature of measurement problems in science where precision and resolution is essentially always limited by some kind of noise.