Last edited by Mezimi
Wednesday, October 21, 2020 | History

5 edition of Singular Integral Equations and Discrete Vortices found in the catalog.

Singular Integral Equations and Discrete Vortices

by I. K. Lifanov

  • 350 Want to read
  • 24 Currently reading

Published by Brill Academic Publishers .
Written in English

    Subjects:
  • Integral equations,
  • Numerical analysis,
  • General,
  • Interior Design - General,
  • Science/Mathematics,
  • Architecture

  • The Physical Object
    FormatHardcover
    Number of Pages476
    ID Numbers
    Open LibraryOL9342977M
    ISBN 10906764207X
    ISBN 109789067642071

      Lifanov I.K. () Singular Integral Equations and Discrete Vortices, p. Utrecht, The Netherlands, VSP. [The justification of the method for the numerical solution of singular integral equations known as the method of discrete vortices in aerodynamics is given.] Kress R. () Linear Integral Equations, p. Springer-Verlag, ://   () Galerkin's method for operator equations with nonnegative index — With application to Cauchy singular integral equations. Journal of Mathematical Analysis and Applications , () On the numerical solution of Cauchy type singular integral equations by the collocation ://

    Prossdorf, S. () On Approximate Methods for the Solution of One-Dimensional Singular Integral Equations. Applicable Analysis, 7, Zisis, V.A. and Ladopoulos, E.G. () Singular Integral Approximations in Hilbert Spaces for Elastic Stress Analysis in ?PaperID= We propose the generalized quadrature methods for numerical solution of singular integral equation of Abel type. We overcome the singularity using the analytic computation of the singular integral. The problem of solution of singular integral equation is reduced to nonsingular system of linear algebraic equations without shift meshes techniques employment. We also propose generalized

    DOI: / Corpus ID: Handbook of Integral Equations @inproceedings{PolyaninHandbookOI, title={Handbook of Integral Equations}, author={Andrei D. Polyanin}, year={} }   integral equations, this new book encompasses recent developments including some preliminary backgrounds of formulations of integral equations governing the physical situation of the problems. It also contains elegant analytical and numerical methods, and an important topic of the variational principles. This book is primarily


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Singular Integral Equations and Discrete Vortices by I. K. Lifanov Download PDF EPUB FB2

Interpolation methods Singular integral equations with multiple Cauchy integrals PART V. DISCRETE MATHEMATICAL MODELS AND CALCULATION EXAMPLES Discrete vortex systems Discrete vortex method for plane stationary problems Method of discrete vortices for spatial stationary problems Method of discrete vortices in nonstationary problems of Singular integral equations with multiple Cauchy integrals --PART V.

DISCRETE MATHEMATICAL MODELS AND CALCULATION EXAMPLES --Chapter Discrete vortex systems -- Chapter Discrete vortex method for plane stationary problems -- Chapter I.

Introduction. Author: I. Gohberg,Naum Krupnik. Publisher: Springer Science & Business Media ISBN: Page: View: Lifanov, I.K., Singular Integral Equations and Discrete Vortices, VSP, Utrecht, the Netherlands,In this article the method for numerical solution of boundary integral equations of the original problem is proposed.

This method is one of the modifications of Nystrom-type methods; particularly the method of discrete vortices.

The These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable co-efficients, in part four of the book.

Finally, discrete mathematical models of some problems of aerodynamics, electrodynamics and elasticity theory are   Information > Mathematical Books > Integral Equations. Books on Integral Equations. Agarwal, R. P., O'Regan, D., and Wong, P. Y., Positive Solutions of   Proof of the numerical method of “discrete vortices” for solving singular integral equations: PMM vol.

39, n≗ 4,pp. – Author links open Proof of the numerical method of ``discrete vortices'' for solving singular integral equations PMM vol.

39, n≗ 4,pp. If the address matches an existing account you will receive an email with instructions to reset your password This paper aims to present a Clenshaw–Curtis–Filon quadrature to approximate thesolution of various cases of Cauchy-type singular integral equations (CSIEs) of the second kind witha highly oscillatory kernel function.

We adduce that the zero case oscillation (k = 0) proposed methodgives more accurate results than the scheme introduced in Dezhbord at el. () and Eshkuvatovat el. (   In the numerical solving of boundary integral equations of electrodynamics, the problem is reduced to a system of linear algebraic equations with dense matrix.

A significant increase in the number of cells of the partition used for the solution can be achieved by applying special methods for compressing dense matrices and fast matrix ://   Handbook of Integral Equations, Second Edition - References.

References. Ablowitz, M. and Clarkson, P. A., Solitons, Non-linear Evolution Equations and Inverse Belotserkovskii S.M., Lifanov I.K., Nisht M.I. () The method of discrete vortices in aerohydrodynamic problems and the theory of multidimensional singular integral equations.

In: Cabannes H., Holt M., Rusanov V. (eds) Sixth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol   In this study, the solutionsof system of the first kind Cauchy type singular integral equation are presented for bounded at the left limit point x = −1 and unbounded at the right limit point.

Numerical solutions are presented for mentioned case by transforming first kind of singular integral equations to the system of linear equation using Chebyshev series :// Lifanov, Singular Integral Equations and Discrete Vortices, Reprint, Buch, Bücher schnell und portofrei In this paper, a numerical method has been proposed to find an approximate solution of Cauchy type singular integral equations of first kind.

Legendre polynomials have been used as basis :// Method of Discrete Vortices presents a mathematical substantiation and in-depth description of numerical methods for solving singular integral equations with one-dimensional and multiple Cauchy [5] I.K.

Lifanov, Singular Integral Equations and Discrete Vortices, VSP, Amsterdam, [6] S. Paszkowski, Numerical applications of Chebyshev polynomials and series, PWN, Warsaw, [in Polish].

[7] D. Pylak, M.A. Sheshko, Inversion of singular integrals with Cauchy kernels in the case of an infinite integration domain,   Sheshko, M. () Singular Integral Equations with Cauchy and Hilbert Kernels and Their Approximated Solutions. The Learned Society of the Catholic University of Lublin, Lublin.

(in Russian) Muskhelishvili, N.I. () Singular Integral Equations. Noordhoff International Publishing, :// Chebyshev Polynomials for Solving a Class of Singular Integral Equations Article (PDF Available) in Applied Mathematics 05(04) January with 97 Reads How we measure 'reads'.

MT - Integral equations Introduction Integral equations occur in a variety of applications, often being obtained from a differential equation. The reason for doing this is that it may make solution of the problem easier or, sometimes, enable us to prove fundamental results on the existence and uniqueness of the ~rac/MT/Integral   We overcome the singularity using the analytic computation of the singular integral.

The problem of solution of singular integral equation is reduced to nonsingular system of linear algebraic equations without shift meshes techniques employment. We also propose generalized quadrature method for solution of Abel equation using the singular ://  One of the popular methods (here readers may refer to work [3]) is Discrete Vortices Method where the integral with Cauchy kernel 1 2ˇ Z1 1 (x) x x 0 dx = f(x 0);1 equations (SLAE) with non zero