000 02399nam a22003618i 4500
001 CR9780511617539
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090915s2005||||enk o ||1 0|eng|d
020 _a9780511617539 (ebook)
020 _z9780521843355 (hardback)
020 _z9780521131018 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA221
_b.W46 2005
082 0 0 _a511/.42
_222
100 1 _aWendland, Holger,
_d1968-
_eauthor.
245 1 0 _aScattered data approximation /
_cHolger Wendland.
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (x, 336 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 ;
_v17
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aMany practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity. The book starts with an overview on typical applications of scattered data approximation, coming from surface reconstruction, fluid-structure interaction, and the numerical solution of partial differential equations. It then leads the reader from basic properties to the current state of research, addressing all important issues, such as existence, uniqueness, approximation properties, numerical stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further reading. Complete proofs are included, making this perfectly suited for graduate courses on multivariate approximation and it can be used to support courses in computer-aided geometric design, and meshless methods for partial differential equations.
650 0 _aApproximation theory.
650 0 _aMultivariate analysis.
776 0 8 _iPrint version:
_z9780521843355
830 0 _aCambridge monographs on applied and computational mathematics ;
_v17.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511617539
999 _c516735
_d516733