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Friedrich  Pillichshammer
Friedrich Pillichshammer
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Title
Cited by
Cited by
Year
Digital nets and sequences: discrepancy theory and quasi–Monte Carlo integration
J Dick, F Pillichshammer
Cambridge University Press, 2010
9562010
Introduction to quasi-Monte Carlo integration and applications
G Leobacher, F Pillichshammer
Springer International Publishing, 2014
2092014
Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
J Dick, F Pillichshammer
Journal of Complexity 21 (2), 149-195, 2005
1112005
Construction algorithms for polynomial lattice rules for multivariate integration
J Dick, F Kuo, F Pillichshammer, I Sloan
Mathematics of computation 74 (252), 1895-1921, 2005
792005
The average distance between two points
B Burgstaller, F Pillichshammer
Bulletin of the Australian Mathematical Society 80 (3), 353-359, 2009
702009
Lattice rules for nonperiodic smooth integrands
J Dick, D Nuyens, F Pillichshammer
Numerische Mathematik 126, 259-291, 2014
652014
Discrepancy theory and quasi-Monte Carlo integration
J Dick, F Pillichshammer
A panorama of discrepancy theory, 539-619, 2014
602014
Exponential convergence and tractability of multivariate integration for Korobov spaces
J Dick, G Larcher, F Pillichshammer, H Woźniakowski
Mathematics of computation 80 (274), 905-930, 2011
582011
Approximation of analytic functions in Korobov spaces
J Dick, P Kritzer, F Pillichshammer, H Woźniakowski
Journal of Complexity 30 (2), 2-28, 2014
562014
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules
J Baldeaux, J Dick, G Leobacher, D Nuyens, F Pillichshammer
Numerical Algorithms 59 (3), 403-431, 2012
562012
The construction of good extensible rank-1 lattices
J Dick, F Pillichshammer, B Waterhouse
Mathematics of Computation 77 (264), 2345-2373, 2008
562008
Walsh Series Analysis of the L 2-Discrepancyof Symmetrisized Point Sets
G Larcher, F Pillichshammer
Monatshefte für Mathematik 132, 1-18, 2001
562001
From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules
H Faure, P Kritzer, F Pillichshammer
Indagationes Mathematicae 26 (5), 760-822, 2015
522015
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces
P Kritzer, F Pillichshammer, H Woźniakowski
Mathematics of Computation 83 (287), 1189-1206, 2014
502014
Integration in Hermite spaces of analytic functions
C Irrgeher, P Kritzer, G Leobacher, F Pillichshammer
Journal of Complexity 31 (3), 380-404, 2015
482015
Distribution properties of generalized van der Corput–Halton sequences and their subsequences
R Hofer, P Kritzer, G Larcher, F Pillichshammer
International Journal of Number Theory 5 (04), 719-746, 2009
482009
On the mean square weighted discrepancy of randomized digital -nets over
J Dick, F Pillichshammer
Acta Arithmetica 117, 371-403, 2005
452005
Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules
J Dick, F Pillichshammer
Journal of Complexity 23 (4-6), 436-453, 2007
442007
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights
C Irrgeher, P Kritzer, F Pillichshammer, H Woźniakowski
Journal of Approximation Theory 207, 301-338, 2016
432016
Optimal discrepancy bounds for higher order digital sequences over the finite field
J Dick, F Pillichshammer
arXiv preprint arXiv:1207.5189, 2012
432012
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