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 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.
By:
I.K. Lifanov (Zhukovsky Aeroforce Engineering Academy Russia),
L.N. Poltavskii (Zhukovsky Aeroforce Engineering Academy,
Russia),
MG.M. Vainikko (University of Technology,
Espos,
Finland),
MG.M. Vainikko (University of Technology,
Espos,
Finland)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions:
Height: 260mm,
Width: 180mm,
Spine: 27mm
Weight: 870g
ISBN: 9780415309981
ISBN 10: 0415309980
Pages: 416
Publication Date: 29 December 2003
Audience:
Professional and scholarly
,
Professional and scholarly
,
Undergraduate
,
Undergraduate
Format: Hardback
Publisher's Status: Active
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 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.
I.K. Lifanov, L.N. Poltavskii, MG.M. Vainikko
