000 02606cam a2200289Ii 4500
001 9780429065606
008 180331s2011 nyuad ob 001 0 eng d
020 _a9780429065606
_q(e-book : PDF)
020 _z9781578087105
_q(hardback)
024 7 _a10.1201/b10883
_2doi
035 _a(OCoLC)752198881
050 4 _aQC20.7.I58
_bM365 2011
082 0 4 _a515.45
_bM271
100 1 _aMandal, B. N.,
_eauthor.
_911012
245 1 0 _aApplied singular integral equations /
_cB.N. Mandal, A. Chakrabarti.
264 1 _aNew York :
_bCRC Press,
_c2011.
300 _a1 online resource (ix, 264 pages)
504 _aIncludes bibliographical references (pages [257]-261) and index.
505 0 _a1. Introduction -- 2. Some elementary methods of solution of singular integral equations -- 3. Riemann-Hilbert problems and their uses in singular integral equations -- 4. Special methods of solution of singular integral equations -- 5. Hypersingular integral equations -- 6. Singular integro-differential equations -- 7. Galerkin method and its application -- 8. Numerical methods -- 9. Some special types of coupled singular integral equations of Carleman type and their solutions.
520 _aIntegral equations occur in a natural way in the course of obtaining mathematical solutions to mixed boundary value problems of mathematical physics. Of the many possible approaches to the reduction of a given mixed boundary value problem to an integral equation, Green's function technique appears to be the most useful one, and Green's functions involving elliptic operators (e.g., Laplace's equation) in two variables, are known to possess logarithmic singularities. The existence of singularities in the Green's function associated with a given boundary value problem, thus, brings in singularities in the kernels of the resulting integral equations to be analyzed in order to obtain useful solutions of the boundary value problems under consideration. The present book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution and helps in introducing the subject of singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics. --
_cProvided by publisher.
650 0 _aIntegral equations.
_99602
650 0 _aMathematical physics.
_911013
700 1 _aChakrabarti, A.
_q(Aloknath)
_911014
776 0 8 _iPrint version:
_z9781578087105
_w(DLC) 2011008899
856 4 0 _uhttps://www.taylorfrancis.com/books/9781439876213
_zClick here to view.
942 _cEBK
999 _c69851
_d69851