Discrepancy Theory and Quasi-Monte Carlo Integration

Josef Dick, Friedrich Pillichshammer

Type: Book-Chapter

Publication Date: 2014-01-01

Citations: 76

DOI: https://doi.org/10.1007/978-3-319-04696-9_9

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Lecture notes in mathematics - View

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+	Efficiency of Quasi-Monte Carlo Algorithms for High Dimensional Integrals	2000	Henryk Woźniakowski
+	Component by Component Construction of Rank-1 Lattice Rules HavingO(n -1(In(n))d) Star Discrepancy	2004	Stephen Joe
+	Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution	2008	William Chen M. M. Skriganov
+ PDF Chat	Irregularities of distribution, VII	1972	Wolfgang Schmidt
+	Fast Component-by-Component Construction, a Reprise for Different Kernels	2006	Dirk Nuyens Ronald Cools
+ PDF Chat	Errata: Milton Abramowitz and Irene A. Stegun, editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., 1994, and all known reprints	1972	K. S. Kölbig F. Schäff
+ PDF Chat	On irregularities of distribution, III	1979	K. Roth
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+	When are integration and discrepancy tractable?	2001	Erich Novak H. Woźniakowski
+ PDF Chat	General discrepancy estimates: the Walsh function system	1994	Peter Hellekalek