Goda, Takashi; Suzuki, Kosuke; Matsumoto, Makoto A universal median Quasi-Monte Carlo integration. (English) Zbl 07813245 SIAM J. Numer. Anal. 62, No. 1, 533-566 (2024). MSC: 65D30 65D32 65C05 41A55 PDFBibTeX XMLCite \textit{T. Goda} et al., SIAM J. Numer. Anal. 62, No. 1, 533--566 (2024; Zbl 07813245) Full Text: DOI arXiv
Temlyakov, V. N. On universal sampling recovery in the uniform norm. (English. Russian original) Zbl 07814418 Proc. Steklov Inst. Math. 323, No. 1, 206-216 (2023); translation from Tr. Mat. Inst. Steklova 323, 213-223 (2023). MSC: 94A20 41A30 41A46 41A55 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, Proc. Steklov Inst. Math. 323, No. 1, 206--216 (2023; Zbl 07814418); translation from Tr. Mat. Inst. Steklova 323, 213--223 (2023) Full Text: DOI arXiv OA License
Abd Elaziz El-Sayed, Adel; Boulaaras, Salah; Sweilam, N. H. Numerical solution of the fractional-order logistic equation via the first-kind Dickson polynomials and spectral tau method. (English) Zbl 07782464 Math. Methods Appl. Sci. 46, No. 7, 8004-8017 (2023). MSC: 65L70 41A25 41A30 PDFBibTeX XMLCite \textit{A. Abd Elaziz El-Sayed} et al., Math. Methods Appl. Sci. 46, No. 7, 8004--8017 (2023; Zbl 07782464) Full Text: DOI
Morillas, Patricia Mariela Dual finite frames for vector spaces over an arbitrary field with applications. (English) Zbl 1505.42039 Armen. J. Math. 13, Paper No. 2, 36 p. (2021). MSC: 42C15 15A03 15A63 41A45 PDFBibTeX XMLCite \textit{P. M. Morillas}, Armen. J. Math. 13, Paper No. 2, 36 p. (2021; Zbl 1505.42039) Full Text: DOI
Temlyakov, Vladimir Connections between numerical integration, discrepancy, dispersion, and universal discretization. (English) Zbl 1516.65019 SMAI J. Comput. Math. S5, 185-209 (2019). MSC: 65D30 41A65 42A10 46B20 PDFBibTeX XMLCite \textit{V. Temlyakov}, SMAI J. Comput. Math. S5, 185--209 (2019; Zbl 1516.65019) Full Text: DOI arXiv
Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu. Integral norm discretization and related problems. (English. Russian original) Zbl 07179262 Russ. Math. Surv. 74, No. 4, 579-630 (2019); translation from Usp. Mat. Nauk 74, No. 4, 3-58 (2019). MSC: 65J05 65D32 41A55 41A17 41A63 42A10 42B99 PDFBibTeX XMLCite \textit{F. Dai} et al., Russ. Math. Surv. 74, No. 4, 579--630 (2019; Zbl 07179262); translation from Usp. Mat. Nauk 74, No. 4, 3--58 (2019) Full Text: DOI arXiv
Glukhov, M. M. On the approximation of discrete functions by linear functions. (Russian. English summary) Zbl 1475.94123 Mat. Vopr. Kriptografii 7, No. 4, 29-50 (2016). MSC: 94A60 11T71 41A99 20N05 PDFBibTeX XMLCite \textit{M. M. Glukhov}, Mat. Vopr. Kriptografii 7, No. 4, 29--50 (2016; Zbl 1475.94123) Full Text: DOI MNR
Gnewuch, Michael Infinite-dimensional integration on weighted Hilbert spaces. (English) Zbl 1284.65044 Math. Comput. 81, No. 280, 2175-2205 (2012). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 65C05 11K38 41A55 41A63 65Y20 46E22 PDFBibTeX XMLCite \textit{M. Gnewuch}, Math. Comput. 81, No. 280, 2175--2205 (2012; Zbl 1284.65044) Full Text: DOI
Brauchart, Johann S.; Dick, Josef Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\). (English) Zbl 1258.65003 Numer. Math. 121, No. 3, 473-502 (2012). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 11K06 11K36 11K38 65D32 41A55 41A63 11K45 46E22 PDFBibTeX XMLCite \textit{J. S. Brauchart} and \textit{J. Dick}, Numer. Math. 121, No. 3, 473--502 (2012; Zbl 1258.65003) Full Text: DOI arXiv
Liu, Kwong-Ip; Dick, Josef; Hickernell, Fred J. A multivariate fast discrete Walsh transform with an application to function interpolation. (English) Zbl 1200.42017 Math. Comput. 78, No. 267, 1573-1591 (2009). MSC: 42C10 41A15 PDFBibTeX XMLCite \textit{K.-I. Liu} et al., Math. Comput. 78, No. 267, 1573--1591 (2009; Zbl 1200.42017) Full Text: DOI arXiv
Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J. Spline methods using integration lattices and digital nets. (English) Zbl 1184.41009 Constr. Approx. 30, No. 3, 529-555 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 42B05 65D07 65D15 PDFBibTeX XMLCite \textit{X. Zeng} et al., Constr. Approx. 30, No. 3, 529--555 (2009; Zbl 1184.41009) Full Text: DOI
Dick, Josef; Pillichshammer, Friedrich Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. (English) Zbl 1130.65005 J. Complexity 23, No. 4-6, 436-453 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65C05 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{J. Dick} and \textit{F. Pillichshammer}, J. Complexity 23, No. 4--6, 436--453 (2007; Zbl 1130.65005) Full Text: DOI