Schretter, Colas; He, Zhijian; Gerber, Mathieu; Chopin, Nicolas; Niederreiter, Harald Van der Corput and Golden ratio sequences along the Hilbert space-filling curve. (English) Zbl 1356.65086 Cools, Ronald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods. MCQMC. Proceedings of the 11th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Leuven, Belgium, April 6–11, 2014. Cham: Springer (ISBN 978-3-319-33505-6/hbk; 978-3-319-33507-0/ebook). Springer Proceedings in Mathematics & Statistics 163, 531-544 (2016). MSC: 65D32 41A55 41A63 11B39 11K38 PDFBibTeX XMLCite \textit{C. Schretter} et al., Springer Proc. Math. Stat. 163, 531--544 (2016; Zbl 1356.65086) Full Text: DOI
Kritzer, Peter; Niederreiter, Harald Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences. (English) Zbl 1387.11065 J. Complexity 31, No. 3, 457-473 (2015). MSC: 11K31 11K38 11K45 65C05 65D30 PDFBibTeX XMLCite \textit{P. Kritzer} and \textit{H. Niederreiter}, J. Complexity 31, No. 3, 457--473 (2015; Zbl 1387.11065) Full Text: DOI arXiv
Gnewuch, Michael (ed.); Kuo, Frances Y. (ed.); Niederreiter, Harald (ed.); Woźniakowski, Henryk (ed.) Uniform distribution theory and applications. Abstracts from the workshop held September 29 – October 5, 2013. (English) Zbl 1349.00169 Oberwolfach Rep. 10, No. 4, 2837-2917 (2013). MSC: 00B05 00B25 11-06 41-06 60-06 11K38 65D30 43A99 41A65 60G15 PDFBibTeX XMLCite \textit{M. Gnewuch} (ed.) et al., Oberwolfach Rep. 10, No. 4, 2837--2917 (2013; Zbl 1349.00169) Full Text: DOI
Niederreiter, Harald Further discrepancy bounds and an Erdös-Turán-Koksma inequality for hybrid sequences. (English) Zbl 1273.11117 Monatsh. Math. 161, No. 2, 193-222 (2010). Reviewer: Olaf Ninnemann (Berlin) MSC: 11K38 11K45 11L07 65C05 65C10 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter}, Monatsh. Math. 161, No. 2, 193--222 (2010; Zbl 1273.11117) Full Text: DOI
Niederreiter, Harald; Pillichshammer, Friedrich Construction algorithms for good extensible lattice rules. (English) Zbl 1247.11100 Constr. Approx. 30, No. 3, 361-393 (2009). MSC: 11K38 11K45 65C05 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{F. Pillichshammer}, Constr. Approx. 30, No. 3, 361--393 (2009; Zbl 1247.11100) Full Text: DOI
Keller, Alexander (ed.); Heinrich, Stefan (ed.); Niederreiter, Harald (ed.) Monte Carlo and quasi-Monte Carlo methods 2006. Selected papers based on the presentations at the 7th international conference ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Ulm, Germany, August 14–18, 2006. (English) Zbl 1130.65003 Berlin: Springer (ISBN 978-3-540-74495-5/hbk). x, 698 p. (2008). MSC: 65-06 00B25 65C05 65C10 11K45 65D30 65D32 PDFBibTeX XMLCite \textit{A. Keller} (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2006. Selected papers based on the presentations at the 7th international conference `Monte Carlo and quasi-Monte Carlo methods in scientific computing', Ulm, Germany, August 14--18, 2006. Berlin: Springer (2008; Zbl 1130.65003)
Niederreiter, Harald The existence of good extensible polynomial lattice rules. (English) Zbl 1038.11048 Monatsh. Math. 139, No. 4, 295-307 (2003). Reviewer: Zhu Yaochen (Beijing) MSC: 11K45 65C05 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter}, Monatsh. Math. 139, No. 4, 295--307 (2003; Zbl 1038.11048) Full Text: DOI
Niederreiter, Harald Some current issues in quasi-Monte Carlo methods. (English) Zbl 1024.65004 J. Complexity 19, No. 3, 428-433 (2003). MSC: 65C05 11K45 PDFBibTeX XMLCite \textit{H. Niederreiter}, J. Complexity 19, No. 3, 428--433 (2003; Zbl 1024.65004) Full Text: DOI
Niederreiter, Harald Error bounds for quasi-Monte Carlo integration with uniform point sets. (English) Zbl 1022.65003 J. Comput. Appl. Math. 150, No. 2, 283-292 (2003). Reviewer: J. Kaupužs (Riga) MSC: 65C05 65D30 11K45 PDFBibTeX XMLCite \textit{H. Niederreiter}, J. Comput. Appl. Math. 150, No. 2, 283--292 (2003; Zbl 1022.65003) Full Text: DOI
Niederreiter, H.; Sloan, I. H. Variants of the Koksma-Hlawka inequality for vertex-modified quasi-Monte Carlo integration rules. (English) Zbl 0855.11040 Math. Comput. Modelling 23, No. 8-9, 69-77 (1996). MSC: 11K45 65C05 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{I. H. Sloan}, Math. Comput. Modelling 23, No. 8--9, 69--77 (1996; Zbl 0855.11040) Full Text: DOI
Larcher, Gerhard; Niederreiter, Harald; Schmid, Wolfgang Ch. Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration. (English) Zbl 0876.11042 Monatsh. Math. 121, No. 3, 231-253 (1996). Reviewer: P.Hellekalek (Salzburg) MSC: 11K38 65D30 11K45 42C10 PDFBibTeX XMLCite \textit{G. Larcher} et al., Monatsh. Math. 121, No. 3, 231--253 (1996; Zbl 0876.11042) Full Text: DOI EuDML
Niederreiter, Harald; Sloan, Ian H. Integration of nonperiodic functions of two variables by Fibonacci lattice rules. (English) Zbl 0808.41021 J. Comput. Appl. Math. 51, No. 1, 57-70 (1994). MSC: 41A55 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{I. H. Sloan}, J. Comput. Appl. Math. 51, No. 1, 57--70 (1994; Zbl 0808.41021) Full Text: DOI
Hansen, Tom; Mullen, Gary L.; Niederreiter, Harald Good parameters for a class of node sets in quasi-Monte Carlo integration. (English) Zbl 0792.11025 Math. Comput. 61, No. 203, 225-234 (1993). Reviewer: Zhu Yaochen (Beijing) MSC: 11K45 65D32 11K38 11Y99 PDFBibTeX XMLCite \textit{T. Hansen} et al., Math. Comput. 61, No. 203, 225--234 (1993; Zbl 0792.11025) Full Text: DOI
Niederreiter, Harald Low-discrepancy point sets obtained by digital constructions over finite fields. (English) Zbl 0757.11024 Czech. Math. J. 42, No. 1, 143-166 (1992). Reviewer: P.Schatte (Freiberg) MSC: 11K38 65C05 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter}, Czech. Math. J. 42, No. 1, 143--166 (1992; Zbl 0757.11024) Full Text: EuDML
Bratley, Paul; Fox, Bennett L.; Niederreiter, Harald Implementation and tests of low-discrepancy sequences. (English) Zbl 0846.11044 ACM Trans. Model. Comput. Simul. 2, No. 3, 195-213 (1992). Reviewer: G.Larcher (Salzburg) MSC: 11K06 65D30 PDFBibTeX XMLCite \textit{P. Bratley} et al., ACM Trans. Model. Comput. Simul. 2, No. 3, 195--213 (1992; Zbl 0846.11044) Full Text: DOI Link
Niederreiter, Harald Existence theorems for efficient lattice rules. (English) Zbl 0743.41023 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 71-80 (1992). MSC: 41A55 PDFBibTeX XMLCite \textit{H. Niederreiter}, in: Numerical integration. Recent developments, software and applications. Proceedings of the NATO advanced research workshop, Bergen, Norway, June 17-22, 1991. . 71--80 (1992; Zbl 0743.41023)
Niederreiter, Harald Random number generation and quasi-Monte Carlo methods. (English) Zbl 0761.65002 CBMS-NSF Regional Conference Series in Applied Mathematics. 63. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. vi, 241 p. (1992). Reviewer: József Dénes (Budapest) MSC: 65C10 65-00 65-02 11K45 11K38 11-02 65C05 65D32 PDFBibTeX XMLCite \textit{H. Niederreiter}, Random number generation and quasi-Monte Carlo methods. Philadelphia, PA: SIAM (1992; Zbl 0761.65002)
Niederreiter, Harald Supplement to: The existence of efficient lattice rules for multidimensional numerical integration. (English) Zbl 0743.65017 Math. Comput. 58, No. 197, S7-S16 (1992). Reviewer: Rudolf J. Taschner (Wien) MSC: 65D32 65C05 11K45 PDFBibTeX XMLCite \textit{H. Niederreiter}, Math. Comput. 58, No. 197, S7--S16 (1992; Zbl 0743.65017) Full Text: DOI
Niederreiter, Harald The existence of efficient lattice rules for multidimensional numerical integration. (English) Zbl 0743.65018 Math. Comput. 58, No. 197, 305-314 (1992). Reviewer: Rudolf J. Taschner (Wien) MSC: 65D32 11K45 65C05 PDFBibTeX XMLCite \textit{H. Niederreiter}, Math. Comput. 58, No. 197, 305--314 (1992; Zbl 0743.65018) Full Text: DOI
Niederreiter, Harald Recent trends in random number and random vector generation. (English) Zbl 0737.65001 Ann. Oper. Res. 31, 323-345 (1991). Reviewer: Marco Cugiani (Milano) MSC: 65C10 65-02 11K45 65D32 94A55 PDFBibTeX XMLCite \textit{H. Niederreiter}, Ann. Oper. Res. 31, 323--345 (1991; Zbl 0737.65001) Full Text: DOI
Niederreiter, Harald Multidimensional numerical integration using pseudorandom numbers. (English) Zbl 0619.65012 Math. Program. Study 27, 17-38 (1986). Reviewer: M.Cugiani MSC: 65D32 65C05 65C10 41A55 41A63 PDFBibTeX XMLCite \textit{H. Niederreiter}, Math. Program. Study 27, 17--38 (1986; Zbl 0619.65012) Full Text: DOI
Kuipers, L.; Niederreiter, H. Uniform distribution of sequences. Transl. from the English. Transl. ed. by S. M. Ermakov. (Равномерное распределение последовательностей.) (Russian) Zbl 0568.10001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 408 p. (1985). MSC: 11-02 11J71 11K06 11K16 54D45 65D30 PDFBibTeX XML
Niederreiter, Harald; Tichy, Robert F. Beiträge zur Diskrepanz bezüglich gewichteter Mittel. (Contributions to the discrepancy with respect to weighted means). (German) Zbl 0498.10030 Manuscr. Math. 42, 85-99 (1983). MSC: 11K06 PDFBibTeX XMLCite \textit{H. Niederreiter} and \textit{R. F. Tichy}, Manuscr. Math. 42, 85--99 (1983; Zbl 0498.10030) Full Text: DOI EuDML
Niederreiter, Harald Quasi-Monte Carlo methods and pseudo-random numbers. (English) Zbl 0404.65003 Bull. Am. Math. Soc. 84, 957-1041 (1978). MSC: 65C10 65-02 65C05 65D32 65N06 11J71 11K06 11B37 11J70 11L03 11K38 11R06 68Q25 PDFBibTeX XMLCite \textit{H. Niederreiter}, Bull. Am. Math. Soc. 84, 957--1041 (1978; Zbl 0404.65003) Full Text: DOI
Niederreiter, Harald Existence of good lattice points in the sense of Hlawka. (English) Zbl 0395.10053 Monatsh. Math. 86, 203-219 (1978). Reviewer: Harald Niederreiter (Wien) MSC: 11K06 11L40 65C10 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter}, Monatsh. Math. 86, 203--219 (1978; Zbl 0395.10053) Full Text: DOI EuDML
Niederreiter, Harald Quantitative versions of a result of Hecke in the theory of uniform distribution mod 1. (English) Zbl 0318.10037 Acta Arith. 28, 321-339 (1975). MSC: 11K06 11K38 65D30 30B30 PDFBibTeX XMLCite \textit{H. Niederreiter}, Acta Arith. 28, 321--339 (1975; Zbl 0318.10037) Full Text: DOI EuDML
Niederreiter, Harald Résultats nouveaux dans la théorie quantitative de l’équirepartition. (French) Zbl 0306.10034 Repartition modulo 1, Actes Colloq. Marseille-Luminy 1974, Lect. Notes Math. 475, 132-154 (1975). MSC: 11K06 11K38 65D30 11J71 65C05 PDFBibTeX XML
Niederreiter, Harald On the distribution of pseudo-random numbers generated by the linear congruential method. II. (English) Zbl 0303.65003 Math. Comput. 28, 1117-1132 (1974). MSC: 65C10 11J71 65D30 11K06 65C05 11L03 PDFBibTeX XMLCite \textit{H. Niederreiter}, Math. Comput. 28, 1117--1132 (1974; Zbl 0303.65003) Full Text: DOI
Kuipers, L.; Niederreiter, Harald Uniform distribution of sequences. (English) Zbl 0281.10001 Pure and Applied Mathematics. New York etc.: John Wiley & Sons, a Wiley-Interscience Publication. xiv, 390 p. £13.00 (1974). Reviewer: Edmund Hlawka (Wien) MSC: 11-02 11J71 11K06 11K16 11K36 11K38 65D30 22D99 54D45 PDFBibTeX XML Backlinks: MO
Niederreiter, Harald Application of diophantine approximations to numerical integration. (English) Zbl 0268.65014 Diophantine Approx. Appl., Proc. Conf. Washington 1972, 129-199 (1973). MSC: 65D30 11J71 11K06 11J68 PDFBibTeX XML
Niederreiter, Harald On the distribution of pseudo-random numbers generated by the linear congruential method. (English) Zbl 0258.65004 Math. Comput. 26, 793-795 (1972). MSC: 65C10 11J71 65D30 PDFBibTeX XMLCite \textit{H. Niederreiter}, Math. Comput. 26, 793--795 (1972; Zbl 0258.65004) Full Text: DOI
Niederreiter, Harald On a number-theoretical integration method. (English) Zbl 0252.65023 Aequationes Math. 8, 304-311 (1972). MSC: 65D30 11J99 PDFBibTeX XMLCite \textit{H. Niederreiter}, Aequationes Math. 8, 304--311 (1972; Zbl 0252.65023) Full Text: DOI EuDML
Niederreiter, Harald Methods for estimating discrepancy. (English) Zbl 0248.10025 Appl. Number Theory Numer. Anal. Proc. Sympos. Univ. Montreal 1971, 203-236 (1972). Reviewer: Harald Niederreiter (Wien) MSC: 11K38 65C10 65D30 PDFBibTeX XML