000 02364nam a22003738i 4500
001 CR9781316216637
003 UkCbUP
005 20200124160212.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 140922s2015||||enk o ||1 0|eng|d
020 _a9781316216637 (ebook)
020 _z9781107103474 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA431
_b.C4634 2015
082 0 0 _a515/.45
_223
100 1 _aChen, Zhongying,
_d1946-
_eauthor.
245 1 0 _aMultiscale methods for Fredholm integral equations /
_cZhongying Chen, Charles A. Micchelli, Yuesheng Xu.
264 1 _aCambridge :
_bCambridge University Press,
_c2015.
300 _a1 online resource (xiii, 536 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 ;
_v28
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.
650 0 _aFredholm equations.
650 0 _aIntegral equations.
700 1 _aMicchelli, Charles A.,
_eauthor.
700 1 _aXu, Yuesheng,
_eauthor.
776 0 8 _iPrint version:
_z9781107103474
830 0 _aCambridge monographs on applied and computational mathematics ;
_v28.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316216637
999 _c515957
_d515955