Hypersingular integral equations and their applications

Gennadi Vainikko, I.K. Lifanov, L.N. Poltavskii - Collection Differential and integral equationsand their applications

395 pages, parution le 27/01/2004

Ajouter à une liste

Indisponible

Résumé

A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical and exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and consider one-, two- and multi-dimensional integral equations. The text also presents the discrete closed vortex frame method and some other numerical methods for solving hypersingular integral equations. The treatment includes applications to problems in areas such as aerodynamics, elasticity, diffraction, and heat and mass transfer.

L'auteur - Gennadi Vainikko

Helsinki University of Technology, Espoo, both, Finland

Sommaire

Singular Integrals and Integral Equations
Sobolev-Slobodetskii Spaces
Hypersingular Integral Equations
Neumann Problem and Integral Equations with Double Layer Potential
Spaces of Fractional Quotients and Their Properties
Discrete Operators in Quotient Spaces
Stability of Discrete Operators in Quotients Spaces
Asymptotic Estimates of Discrete Green Function
Quadrature Formulas for Singular and Hypersingular Integrals
Numerical Analysis of Hypersingular Integral Equations
Problems in Aerodynamics. Some Problems of Physics

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Gennadi Vainikko, I.K. Lifanov, L.N. Poltavskii
Collection	Differential and integral equationsand their applications
Parution	27/01/2004
Nb. de pages	395
Format	18,3 x 26,1
Couverture	Relié
Poids	875g
Intérieur	Noir et Blanc
EAN13	9780415309981
ISBN13	978-0-415-30998-1