Singular Integral Equations and Discrete Vortices - Hardcover

Lifanov, I. K.

Hardcover

ISBN 10: 906764207X ISBN 13: 9789067642071

Publisher: De Gruyter, 1996

Synopsis

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.

Edition details

• Publisher: De Gruyter
• Publication date: 1996
• Language: English
• ISBN 10: 906764207X
• ISBN 13: 9789067642071
• Binding: Hardcover
• Number of pages: 485