One-Dimensional Linear Singular Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-Dimensional Linear Singular Integral Equations write by I. Gohberg. This book was released on 2012-12-06. One-Dimensional Linear Singular Integral Equations available in PDF, EPUB and Kindle. This book is an introduction to the theory of linear one-dimensional singular integral equations. It is essentually a graduate textbook. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form. In this book material of the monograph [2] of the authors on one-dimensional singular integral operators is widely used. This monograph appeared in 1973 in Russian and later in German translation [3]. In the final text version the authors included many addenda and changes which have in essence changed character, structure and contents of the book and have, in our opinion, made it more suitable for a wider range of readers. Only the case of singular integral operators with continuous coefficients on a closed contour is considered herein. The case of discontinuous coefficients and more general contours will be considered in the second volume. We are grateful to the editor Professor G. Heinig of the volume and to the translators Dr. B. Luderer and Dr. S. Roch, and to G. Lillack, who did the typing of the manuscript, for the work they have done on this volume.
One-dimensional Linear Singular Integral Equations
One-dimensional Linear Singular Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-dimensional Linear Singular Integral Equations write by Israel Gohberg. This book was released on 1991. One-dimensional Linear Singular Integral Equations available in PDF, EPUB and Kindle.
One-Dimensional Linear Singular Integral Equations
One-Dimensional Linear Singular Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-Dimensional Linear Singular Integral Equations write by I. Gohberg. This book was released on 2012-12-06. One-Dimensional Linear Singular Integral Equations available in PDF, EPUB and Kindle. This monograph is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. The present text includes a large number of additions and complementary material, essentially changing the character, structure and contents of the book, and making it accessible to a wider audience. Our main subject in the first volume was the case of closed curves and continuous coeffi cients. Here, in the second volume, we turn to general curves and discontinuous coefficients. We are deeply grateful to the editor Professor G. Heinig, to the translator Dr. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 11 Introduction This book is the second volume of an introduction to the theory of linear one-dimensional singular integral operators. The main topics of both parts of the book are the invertibility and Fredholmness of these operators. Special attention is paid to inversion methods.
One-dimensional Linear Singular Integral Equations: General theory and applications
One-dimensional Linear Singular Integral Equations: General theory and applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-dimensional Linear Singular Integral Equations: General theory and applications write by Israel Gohberg. This book was released on 1992. One-dimensional Linear Singular Integral Equations: General theory and applications available in PDF, EPUB and Kindle.
Singular Integral Equations and Discrete Vortices
Singular Integral Equations and Discrete Vortices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Integral Equations and Discrete Vortices write by I. K. Lifanov. This book was released on 2018-11-05. Singular Integral Equations and Discrete Vortices available in PDF, EPUB and Kindle. This monograph is divided into five parts and opens with elements of the theory of singular integral equation solutions in the class of absolutely integrable and non-integrable functions. The second part deals with elements of potential theory for the Helmholtz equation, especially with the reduction of Dirichlet and Neumann problems for Laplace and Helmholtz equations to singular integral equations. Part three contains methods of calculation for different one-dimensional and two-dimensional singular integrals. In this part, quadrature formulas of discrete vortex pair type in the plane case and closed vortex frame type in the spatial case for singular integrals are described for the first time. These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable coefficients, in part four of the book. Finally, discrete mathematical models of some problems in aerodynamics, electrodynamics and elasticity theory are given.
