000			02716nam a22003618i 4500
001			CR9780511626340
003			UkCbUP
005			20200124160219.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			141103s1997||||enk o ||1 0|eng|d
020			_a9780511626340 (ebook)
020			_z9780521583916 (hardback)
020			_z9780521102834 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA431 _b.A837 1997
082	0	0	_a515/.45 _220
100	1		_aAtkinson, Kendall E., _eauthor.
245	1	4	_aThe numerical solution of integral equations of the second kind / _cKendall E. Atkinson.
264		1	_aCambridge : _bCambridge University Press, _c1997.
300			_a1 online resource (xvi, 552 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge monographs on applied and computational mathematics ; _v4
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tBrief discussion of integral equations -- _tDegenerate kernel methods -- _tProjection methods -- _tNyström method -- _tSolving multivariable integral equations -- _tIteration methods -- _tBoundary integral equations on a smooth planar boundary -- _tBoundary integral equations on a piecewise smooth planar boundary -- _tBoundary integral equations in three dimensions.
520			_aThis book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.
650		0	_aIntegral equations _xNumerical solutions.
776	0	8	_iPrint version: _z9780521583916
830		0	_aCambridge monographs on applied and computational mathematics ; _v4.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511626340
999			_c516538 _d516536