Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Fundamental Solutions For A Class Of Singular Equations full books in PDF, epub, and Kindle. Read online Fundamental Solutions For A Class Of Singular Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : R. J. Weinacht
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.F/5 ( download)
Download or read book Fundamental Solutions for a Class of Singular Equations written by R. J. Weinacht and published by . This book was released on 1982 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
ISBN 13 : 0429641648
Total Pages : 359 pages
Book Rating : 4.4/5 (296 download)
Download or read book Singular Differential Equations and Special Functions written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions. Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions
Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
ISBN 13 : 9400999941
Total Pages : 453 pages
Book Rating : 4.4/5 (9 download)
Download or read book Singular Integral Equations written by N.I. Muskhelishvili and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An authors and subject index has been added. In particular, the former has been combined with the list of references of the original text, in order to enable the reader to find quickly all information on anyone reference in which he may be especially interested. This has been considered most important with a view to the difficulties experienced outside Russia in obtaining references, published in that country. Russian names have been printed in Russian letters in the authors index, in order to overcome any possible confusion arising from transliteration.
Author : L. G. Mikhailov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112729153
Total Pages : 232 pages
Book Rating : 4.1/5 (127 download)
Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by L. G. Mikhailov and published by Walter de Gruyter GmbH & Co KG. This book was released on 1970-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".
Author : Ricardo Estrada
Publisher : Springer Science & Business Media
ISBN 13 : 1461213827
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)
Download or read book Singular Integral Equations written by Ricardo Estrada and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0
Author : Raymond Gérard
Publisher : Springer Science & Business Media
ISBN 13 : 3322802841
Total Pages : 281 pages
Book Rating : 4.3/5 (228 download)
Download or read book Singular Nonlinear Partial Differential Equations written by Raymond Gérard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations.
Author : B. N. Mandal
Publisher : CRC Press
ISBN 13 : 1439876215
Total Pages : 274 pages
Book Rating : 4.4/5 (398 download)
Download or read book Applied Singular Integral Equations written by B. N. Mandal and published by CRC Press. This book was released on 2016-04-19 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.
Author : N. I. Muskhelishvili
Publisher : Courier Corporation
ISBN 13 : 0486145069
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)
Download or read book Singular Integral Equations written by N. I. Muskhelishvili and published by Courier Corporation. This book was released on 2013-02-19 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Author : Nikolaĭ Petrovich Vekua
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)
Download or read book Systems of Singular Integral Equations written by Nikolaĭ Petrovich Vekua and published by . This book was released on 1967 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan K. Lifanov
Publisher : VSP
ISBN 13 : 9789067642071
Total Pages : 494 pages
Book Rating : 4.6/5 (42 download)
Download or read book Singular Integral Equations and Discrete Vortices written by Ivan K. Lifanov and published by VSP. This book was released on 1996 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Leonid Grigorʹevich Mikhaĭlov
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (44 download)
Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by Leonid Grigorʹevich Mikhaĭlov and published by . This book was released on 1970 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zi-Cai LI
Publisher : EDP Sciences
ISBN 13 : 2759831728
Total Pages : 472 pages
Book Rating : 4.7/5 (598 download)
Download or read book The Method of Fundamental Solutions: Theory and Applications written by Zi-Cai LI and published by EDP Sciences. This book was released on 2023-12-04T00:00:00+01:00 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental solutions (FS) satisfy the governing equations in a solution domain S, and then the numerical solutions can be found from the exterior and the interior boundary conditions on ?S. The resource nodes of FS are chosen outside S, distinctly from the case of the boundary element method (BEM). This method is called the method of fundamental solutions (MFS), which originated from Kupradze in 1963. The Laplace and the Helmholtz equations are studied in detail, and biharmonic equations and the Cauchy-Navier equation of linear elastostatics are also discussed. Moreover, better choices of source nodes are explored. The simplicity of numerical algorithms and high accuracy of numerical solutions are two remarkable advantages of the MFS. However, the ill-conditioning of the MFS is notorious, and the condition number (Cond) grows exponentially via the number of the unknowns used. In this book, the numerical algorithms are introduced and their characteristics are addressed. The main efforts are made to establish the theoretical analysis in errors and stability. The strict analysis (as well as choices of source nodes) in this book has provided the solid theoretical basis of the MFS, to grant it to become an effective and competent numerical method for partial differential equations (PDE). Based on some of our works published as journal papers, this book presents essential and important elements of the MFS. It is intended for researchers, graduated students, university students, computational experts, mathematicians and engineers.
Author : A.V. Bitsadze
Publisher : Elsevier
ISBN 13 : 0323162266
Total Pages : 212 pages
Book Rating : 4.3/5 (231 download)
Download or read book Boundary Value Problems For Second Order Elliptic Equations written by A.V. Bitsadze and published by Elsevier. This book was released on 2012-12-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.
Author : Leonid Grigor'evič Mihajlov
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (75 download)
Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by Leonid Grigor'evič Mihajlov and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander S. Cherny
Publisher : Springer Science & Business Media
ISBN 13 : 9783540240075
Total Pages : 270 pages
Book Rating : 4.2/5 (4 download)
Download or read book Singular Stochastic Differential Equations written by Alexander S. Cherny and published by Springer Science & Business Media. This book was released on 2005 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. Air Force. Office of Scientific Research
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.3/5 (243 download)
Download or read book AFOSR. written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1968 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
