Proof of the numerical method of 'discrete vortices' for solving singular integral equations

DOI10.1016/0021-8928(75)90077-5zbMath0339.45006OpenAlexW1856233388MaRDI QIDQ1231253

I. K. Lifanov, Ja. E. Polonskii

Publication date: 1975

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(75)90077-5

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05) Singular integral equations (45E99)

Related Items (12)

Approximate solution of a singular integral equation using the Sobolev method ⋮ Numerical evaluation for Cauchy type singular integrals on the interval ⋮ Approximate solutions of some Mellin equations with conjugation ⋮ Convergence of the method of discrete vortices ⋮ Method of calculating the longitudinal, lateral, and crossed aerodynamic derivatives of an aircraft at subsonic velocities ⋮ Hypersingular Integrals in Integral Equations and Inequalities: Fundamental Review Study ⋮ On the method of discrete vortices ⋮ Finite-dimensional approximations of singular integrals and direct methods of solution of singular integral and integrodifferential equations ⋮ Note on the box method and the linear segment method in the integral equation of thin aerofoil theory ⋮ Approximating the singular integrals of Cauchy type with weight function on the interval ⋮ Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges ⋮ Method of numerical solution of the problem of impressing a moving stamp into an elastic half-plane, taking heat generation into account

Cites Work

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