Overview

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 integrals. The book also discusses the fundamentals of the theory of singular equations and numerical methods as applied to solving problems in such branches of mechanics as aerodynamics and electrodynamics. Features of this volume include: quadrature formulae for singular integrals; numerical solution of singular integral equations; application of the method of discrete vortices to aerodynamics; verification of the method; and some problems of the theory of elasticity, electrodynamics and mathematical physics.

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