000			03149nmm a22003498i 4500
003			SPU
005			20210708221940.0
008			100505b2010 enk|||||o|||| 00| 0 eng d
020			_a9780511761188 (E-book)
040			_aSPU
049			_amain
050	0	0	_aQA 298 _bD52 2010
100			_aDick, J. _9242831
245	1	0	_aDigital nets and sequences : _bdiscrepancy and quasi-Monte Carlo integration / _cJosef Dick, Friedrich Pillichshammer _h[electronic resource]
246	3		_aDigital Nets & Sequences
260			_aCambridge : _bCambridge University Press, _c2010
300			_a1 online resource (xvii, 600 pages) : _bdigital, PDF file(s)
449			_a111006
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	8		_aMachine generated contents note : Preface ; Notation -- Introduction -- Quasi-Monte Carlo integration, discrepancy and reproducing kernel Hilbert spaces -- Geometric discrepancy -- Nets and sequences -- Discrepancy estimates and average type results -- Connections to other discrete objects -- Duality Theory -- Special constructions of digital nets and sequences -- Propagation rules for digital nets -- Polynomial lattice point sets -- Cyclic digital nets and hyperplane nets -- Multivariate integration in weighted Sobolev spaces -- Randomisation of digital nets --The decay of the Walsh coefficients of smooth functions -- Arbitrarily high order of convergence of the worst-case error; 16. Explicit constructions of point sets with best possible order of L2-discrepancy
520			_aIndispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.
650		0	_aMONTE CARLO METHOD _952090
650		0	_aNETS (MATHEMATICS) _9242832
650		0	_aSEQUENCES (MATHEMATICS) _9242833
650		0	_aNUMERICAL INTEGRATION _9242834
650		0	_aDIGITAL FILTERS (MATHEMATICS) _9242835
700			_aPillichshammer, Friedrich _9242836
850			_aSPU
856	4	0	_uhttps://doi.org/10.1017/CBO9780511761188 _yView Full-text
910			_aคณะดิจิทัลมีเดีย _bร้าน New knowleage information งาน SPU Book Fair 2019 _c130320
942			_2lcc _cEBK
999			_c197251