000			02943nam a22003498i 4500
001			CR9780511569609
003			UkCbUP
005			20200124160321.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090520s1985||||enk o ||1 0|eng|d
020			_a9780511569609 (ebook)
020			_z9780521266291 (hardback)
020			_z9780521357968 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA431 _b.D338 1985
082	0	0	_a515.4/5 _219
100	1		_aDelves, L. M., _eauthor.
245	1	0	_aComputational methods for integral equations / _cL.M. Delves & J.L. Mohamed.
264		1	_aCambridge : _bCambridge University Press, _c1985.
300			_a1 online resource (xii, 376 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aThe space L²(a, b) -- Numerical quadrature -- Introduction to the theory of linear integral equations of the second kind -- The Nystrom (quadrature) method for Fredholm equations of the second kind -- Quadrature methods for Volterra equations of the second kind -- Eigenvalue problems and the Fredholm alternative -- Expansion methods for Fredholm equations of the second kind -- Numerical techniques for expansion methods -- Analysis of the Galerkin method with orthogonal basis -- Numerical performance of algorithms for Fredholm equations of the second kind -- Singular integral equations -- Integral equations of the first kind -- Integro-differential equations -- Appendix: singular expansions.
520			_aIntegral equations form an important class of problems, arising frequently in engineering, and in mathematical and scientific analysis. This textbook provides a readable account of techniques for their numerical solution. The authors devote their attention primarily to efficient techniques using high order approximations, taking particular account of situations where singularities are present. The classes of problems which arise frequently in practice, Fredholm of the first and second kind and eigenvalue problems, are dealt with in depth. Volterra equations, although attractive to treat theoretically, arise less often in practical problems and so have been given less emphasis. Some knowledge of numerical methods and linear algebra is assumed, but the book includes introductory sections on numerical quadrature and function space concepts. This book should serve as a valuable text for final year undergraduate or postgraduate courses, and as an introduction or reference work for practising computational mathematicians, scientists and engineers.
650		0	_aIntegral equations _xNumerical solutions.
700	1		_aMohamed, J. L., _eauthor.
776	0	8	_iPrint version: _z9780521266291
856	4	0	_uhttps://doi.org/10.1017/CBO9780511569609
999			_c521918 _d521916