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Author : Matthew P. Brindle
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book The Numerical Solution of an Integral Equation Arising in Diffraction Theory written by Matthew P. Brindle and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. H. Yang
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Some Fredholm Integral Equations Arising in Diffraction Theory written by C. H. Yang and published by . This book was released on 1959 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Burridge
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (251 download)
Download or read book The Numerical Solution of Certain Integral Equations with Non-integrable Kernels Arising in the Theory of Crack Propagation and Elastic Wave Diffraction written by Robert Burridge and published by . This book was released on 1969 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chao-Hui Yang
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (15 download)
Download or read book On Some Fredholm Integral Equations Arising in Diffraction Theory written by Chao-Hui Yang and published by . This book was released on 1959 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kadum Allami
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book The Numerical Solution of the Fredholm Integral Equations of the First Kind that Arises in the Theory of Acoustic Diffraction written by Kadum Allami and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mezhlum A. Sumbatyan
Publisher : CRC Press
ISBN 13 : 0203643488
Total Pages : 307 pages
Book Rating : 4.2/5 (36 download)
Download or read book Equations of Mathematical Diffraction Theory written by Mezhlum A. Sumbatyan and published by CRC Press. This book was released on 2004-09-29 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.
Author : Chao Hui Yang
Publisher : Forgotten Books
ISBN 13 : 9780332598956
Total Pages : 28 pages
Book Rating : 4.5/5 (989 download)
Download or read book On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint) written by Chao Hui Yang and published by Forgotten Books. This book was released on 2017-12-10 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On Some Fredholm Integral Equations Arising in Diffraction Theory In these integral equations, we find that the kernels contain a para meter arin a, non-linearwmanner. It should also be noted that both kernels are symmetric in x and y but that they are neither hermitian symmetric nor normal, except for special values of a. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Chao-Hui Yang
Publisher : Palala Press
ISBN 13 : 9781342059819
Total Pages : 26 pages
Book Rating : 4.0/5 (598 download)
Download or read book On Some Fredholm Integral Equations Arising in Diffraction Theory written by Chao-Hui Yang and published by Palala Press. This book was released on 2015-09-09 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : H. J. J. te Riele
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.3/5 (91 download)
Download or read book Colloquium Numerical Treatment of Integral Equations written by H. J. J. te Riele and published by . This book was released on 1979 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Irving Jacob Epstein
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (835 download)
Download or read book A Study of Integrals and Integral Equations Arising in Diffraction Theory written by Irving Jacob Epstein and published by . This book was released on 1956 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Numerical Solution of One-Dimensional Integral and Differential Equations written by and published by . This book was released on 1991 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in mathematical physics can be formulated as one-dimensional integral equations. Examples include problems in electrostatics, crack problems in elastic bodies, and two-point boundary value problems for ordinary differential equations. Since most integral equations arising in applications do not have analytic solutions, there is considerable interest in the numerical solution of these problems. Unfortunately, discretization of integral equations leads to dense systems of linear algebraic equations, and the direct solution of a dense linear system of dimension N requires order O(N cubed) arithmetic operations. Alternatively, the solution to the linear system can be obtained using an iterative method such as the conjugate gradient algorithm or the conjugate residual algorithm. This thesis is based on the observation that one-dimensional integral operators can be recursively decomposed into sums of products of operators of low numerical rank. A complicated analytical apparatus is then constructed which allows for the direct solution of an integral equation in order O(N) operations. The algorithms of this thesis permit the use of schemes with extremely high orders of convergence, and are quite insensitive to end-point singularities. The performance of the methods is illustrated with numerical examples.
Author :
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (227 download)
Download or read book THE NUMERICAL SOLUTION OF THE SINGULAR INTEGRAL EQUATION FOR DIFFRACTION BY A SOFT STRIP. written by and published by . This book was released on 1962 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is difficult to obtain practical solutions for the scattering of waves by obstacles when the dimensions of the obstacle are comparable with the wavelength. It is shown that numerical solution of the integral equation for diffraction by a two-dimensional strip gives accurate results in this awkward range of wavelengths. A variational principle is used, with a comparatively simple step-function approximation to the unknown function in the integral equation. The results obtained justify further investigations to see whether the method can deal with diffraction by objects of more complicated shape.
Author : Abdul-Majid Wazwaz
Publisher : Springer Science & Business Media
ISBN 13 : 3642214495
Total Pages : 639 pages
Book Rating : 4.6/5 (422 download)
Download or read book Linear and Nonlinear Integral Equations written by Abdul-Majid Wazwaz and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Author : V. K. Dzyadyk
Publisher : VSP
ISBN 13 : 9789067641944
Total Pages : 340 pages
Book Rating : 4.6/5 (419 download)
Download or read book Approximation Methods for Solutions of Differential and Integral Equations written by V. K. Dzyadyk and published by VSP. This book was released on 1995 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of 20 years of investigations carried out by the author and his colleagues in order to bring closer and, to a certain extent, synthesize a number of well-known results, ideas and methods from the theory of function approximation, theory of differential and integral equations and numerical analysis. The book opens with an introduction on the theory of function approximation and is followed by a new approach to the Fredholm integral equations to the second kind. Several chapters are devoted to the construction of new methods for the effective approximation of solutions of several important integral, and ordinary and partial differential equations. In addition, new general results on the theory of linear differential equations with one regular singular point, as well as applications of the various new methods are discussed.
Author : Kadum Allami
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book The Application of an Integral Equation Method to the Numerical Solution of a Diffraction Problem written by Kadum Allami and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.F/5 ( download)
Download or read book Air Force Research Resumés written by and published by . This book was released on with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lotfollah Shafai
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (227 download)
Download or read book An Improved Integral Equation for the Numerical Solution of Two-dimensional Diffraction Problems written by Lotfollah Shafai and published by . This book was released on 1969 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a conformal transformation, the singularities of electromagnetic fields near a sharp edge are related to the geometry of the scatterer. The results are then used to treat the singularities of the current in the integral equations for the current distribution. The properties of the improved integral equations and the procedure for their evaluation is discussed by considering two-dimensional scattering by a conducting square prism. (Author).
