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Author : Dang Dinh Ang
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (46 download)
Download or read book Regularization of a generalized Abel integral equation written by Dang Dinh Ang and published by . This book was released on 1990 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dang Dinh Ang
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (897 download)
Download or read book Regularization of a Generalized Abel Integral Equation written by Dang Dinh Ang and published by . This book was released on 1990 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf Gorenflo
Publisher : Springer
ISBN 13 : 3540469494
Total Pages : 225 pages
Book Rating : 4.5/5 (44 download)
Download or read book Abel Integral Equations written by Rudolf Gorenflo and published by Springer. This book was released on 2006-11-14 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.
Author : Rudolf Gorenflo
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (758 download)
Download or read book On the Regularization of Linear Abel Type Integral Equations of First Kind with Hölder Continuous Kernels written by Rudolf Gorenflo and published by . This book was released on 1997 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 0203881052
Total Pages : 1143 pages
Book Rating : 4.2/5 (38 download)
Download or read book Handbook of Integral Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2008-02-12 with total page 1143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Author : M. L. Baart
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (897 download)
Download or read book Regularization and Generalized Inverse Solutions of Integral Equations of the First Kind in Reproducing Kernel Hilbert Space written by M. L. Baart and published by . This book was released on 1979 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. D. Gakhov
Publisher : Elsevier
ISBN 13 : 1483164985
Total Pages : 585 pages
Book Rating : 4.4/5 (831 download)
Download or read book Boundary Value Problems written by F. D. Gakhov and published by Elsevier. This book was released on 2014-07-10 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions. The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. Although the book treats the theory of boundary value problems, emphasis is on linear problems with one unknown function. The definition of the Cauchy type integral, examples, limiting values, behavior, and its principal value are explained. The Riemann boundary value problem is emphasized in considering the theory of boundary value problems of analytic functions. The book then analyzes the application of the Riemann boundary value problem as applied to singular integral equations with Cauchy kernel. A second fundamental boundary value problem of analytic functions is the Hilbert problem with a Hilbert kernel; the application of the Hilbert problem is also evaluated. The use of Sokhotski's formulas for certain integral analysis is explained and equations with logarithmic kernels and kernels with a weak power singularity are solved. The chapters in the book all end with some historical briefs, to give a background of the problem(s) discussed. The book will be very valuable to mathematicians, students, and professors in advanced mathematics and geometrical functions.
Author : M. L. Baart
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (255 download)
Download or read book Regularization and Generalized Inverse Solutions of Integral Equations of the First Kind in Reproducing Kernel Hilbert Spaves written by M. L. Baart and published by . This book was released on 1979 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abdul-majid Wazwaz
Publisher : World Scientific Publishing Company
ISBN 13 : 9814675148
Total Pages : 327 pages
Book Rating : 4.8/5 (146 download)
Download or read book First Course In Integral Equations, A (Second Edition) written by Abdul-majid Wazwaz and published by World Scientific Publishing Company. This book was released on 2015-05-04 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds. Numerous well-explained applications and examples as well as practical exercises are presented to guide readers through the text. Selected applications from mathematics, science and engineering are investigated by using the newly developed methods.This volume consists of nine chapters, pedagogically organized, with six chapters devoted to linear integral equations, two chapters on nonlinear integral equations, and the last chapter on applications. It is intended for scholars and researchers, and can be used for advanced undergraduate and graduate students in applied mathematics, science and engineering.Click here for solutions manual.
Author : Stanisław Lewanowicz
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (82 download)
Download or read book On the Numerical Solution of the Generalized Abel Integral Equation written by Stanisław Lewanowicz and published by . This book was released on 1988 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf Gorenflo
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (755 download)
Download or read book An operational method for solving generalized Abel integral equations of second kind written by Rudolf Gorenflo and published by . This book was released on 1995 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boris Rubin
Publisher : CRC Press
ISBN 13 : 9780582253414
Total Pages : 428 pages
Book Rating : 4.2/5 (534 download)
Download or read book Fractional Integrals and Potentials written by Boris Rubin and published by CRC Press. This book was released on 1996-06-24 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. Beyond some basic properties of fractional integrals in one and many dimensions, it contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaudís approach and its generalization, leading to wavelet type representations.
Author : Bernd Hofmann
Publisher : Springer
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.3/5 (91 download)
Download or read book Regularization for Applied Inverse and Ill-Posed Problems written by Bernd Hofmann and published by Springer. This book was released on 1986-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf Gorenflo
Publisher :
ISBN 13 : 9783662201886
Total Pages : 232 pages
Book Rating : 4.2/5 (18 download)
Download or read book Abel Integral Equations written by Rudolf Gorenflo and published by . This book was released on 2014-01-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria Louisa Baart
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (11 download)
Download or read book Regularization and Generalized Inverse Solution of Integral Equations of the First Kind in Reproducing Kernel Hilbert Spaces written by Maria Louisa Baart and published by . This book was released on 1979 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herman J. J. te Riele
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (256 download)
Download or read book A Comparative Survey of Numerical Methods for the Linear Generalized Abel Integral Equation written by Herman J. J. te Riele and published by . This book was released on 1983 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Changjun Cui
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.3/5 (129 download)
Download or read book Local Regularization Methods for N-dimensional First-kind Integral Equations written by Changjun Cui and published by . This book was released on 2005 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
