scholarly journals Digital inversive vectors can achieve polynomial tractability for the weighted star discrepancy and for multivariate integration

2017 ◽  
Vol 145 (8) ◽  
pp. 3297-3310 ◽  
Author(s):  
Josef Dick ◽  
Domingo Gomez-Perez ◽  
Friedrich Pillichshammer ◽  
Arne Winterhof
Keyword(s):  
Multivariate Integration ◽  
Star Discrepancy

scholarly journals Constructions of general polynomial lattice rules based on the weighted star discrepancy

2007 ◽  
Vol 13 (4) ◽  
pp. 1045-1070 ◽  
Author(s):  
Josef Dick ◽  
Peter Kritzer ◽  
Gunther Leobacher ◽  
Friedrich Pillichshammer
Keyword(s):  
Lattice Rules ◽  
General Polynomial ◽  
Star Discrepancy

A generalization of NUT digital (0,1)-sequences and best possible lower bounds for star discrepancy

2013 ◽  
Vol 158 (4) ◽  
pp. 321-340 ◽  
Author(s):  
Henri Faure ◽  
Friedrich Pillichshammer
Keyword(s):  
Lower Bounds ◽  
Star Discrepancy

scholarly journals Construction algorithms for polynomial lattice rules for multivariate integration

2005 ◽  
Vol 74 (252) ◽  
pp. 1895-1922 ◽  
Author(s):  
J. Dick ◽  
F. Y. Kuo ◽  
F. Pillichshammer ◽  
I. H. Sloan
Keyword(s):  
Lattice Rules ◽  
Multivariate Integration ◽  
Construction Algorithms

Computing Bounds for the Star Discrepancy

Computing ◽  
2000 ◽  
Vol 65 (2) ◽  
pp. 169-186 ◽  
Author(s):  
E. Thiémard
Keyword(s):  
Star Discrepancy
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