Singular Integral Equations and Discrete Vortices (Hardcover, Reprint 2018)

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.

General

Imprint:	De Gruyter
Country of origin:	Germany
Release date:	August 1996
First published:	1996
Authors:	I.K. Lifanov
Dimensions:	244 x 170 x 27mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	484
Edition:	Reprint 2018
ISBN-13:	978-3-11-046034-6
Categories:	Books > Arts & Architecture > Architecture > Interior design Books > Science & Mathematics > Science: general issues > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	3-11-046034-3
Barcode:	9783110460346

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