Konopelchenko, B. G.; Ortenzi, G. On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation. (English) Zbl 07813330 J. Phys. A, Math. Theor. 57, No. 8, Article ID 085701, 32 p. (2024). MSC: 35Q31 76B03 37K10 35A21 35B44 PDFBibTeX XMLCite \textit{B. G. Konopelchenko} and \textit{G. Ortenzi}, J. Phys. A, Math. Theor. 57, No. 8, Article ID 085701, 32 p. (2024; Zbl 07813330) Full Text: DOI
Chen, Liang; Jiang, Haixin On the information complexity for integration in subspaces of the Wiener algebra. (English) Zbl 07805474 J. Complexity 81, Article ID 101819, 9 p. (2024). MSC: 41A63 65D30 65C05 65D40 PDFBibTeX XMLCite \textit{L. Chen} and \textit{H. Jiang}, J. Complexity 81, Article ID 101819, 9 p. (2024; Zbl 07805474) Full Text: DOI
Liu, Cuiyun; Liu, Bo Symmetric and asymmetric Gauss and Gauss-Lobatto quadrature rules for triangles and their applications to high-order finite element analyses. (English) Zbl 1522.65036 J. Comput. Appl. Math. 437, Article ID 115451, 20 p. (2024). MSC: 65D32 41A55 41A63 65D30 PDFBibTeX XMLCite \textit{C. Liu} and \textit{B. Liu}, J. Comput. Appl. Math. 437, Article ID 115451, 20 p. (2024; Zbl 1522.65036) Full Text: DOI
Li, Jiansong; Ling, Yun; Geng, Jiaxin; Wang, Heping Weighted least \(\ell_p\) approximation on compact Riemannian manifolds. arXiv:2402.19132 Preprint, arXiv:2402.19132 [math.NA] (2024). MSC: 41A17 41A55 41A63 65D15 65D30 65D32 BibTeX Cite \textit{J. Li} et al., ``Weighted least $\ell_p$ approximation on compact Riemannian manifolds'', Preprint, arXiv:2402.19132 [math.NA] (2024) Full Text: arXiv OA License
Belov, A. A.; Tintul, M. A. Multidimensional cubature formulas with superpower convergence. (English. Russian original) Zbl 07820604 Dokl. Math. 108, No. 3, 514-518 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 107-111 (2023). MSC: 65D32 65D30 PDFBibTeX XMLCite \textit{A. A. Belov} and \textit{M. A. Tintul}, Dokl. Math. 108, No. 3, 514--518 (2023; Zbl 07820604); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 107--111 (2023) Full Text: DOI
Dai, F.; Temlyakov, V. Universal sampling discretization. (English) Zbl 07781586 Constr. Approx. 58, No. 3, 589-613 (2023). MSC: 65J05 41A46 41A63 42A05 65D30 PDFBibTeX XMLCite \textit{F. Dai} and \textit{V. Temlyakov}, Constr. Approx. 58, No. 3, 589--613 (2023; Zbl 07781586) Full Text: DOI arXiv
Ehler, Martin; Gröchenig, Karlheinz \(t\)-design curves and mobile sampling on the sphere. (English) Zbl 07774868 Forum Math. Sigma 11, Paper No. e105, 25 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A55 41A63 94A12 26B15 PDFBibTeX XMLCite \textit{M. Ehler} and \textit{K. Gröchenig}, Forum Math. Sigma 11, Paper No. e105, 25 p. (2023; Zbl 07774868) Full Text: DOI arXiv OA License
Al Beattie, Bakr; Ochs, Karlheinz Solving a one-dimensional moving boundary problem based on wave digital principles. (English) Zbl 07772688 Multidimensional Syst. Signal Process. 34, No. 4, 703-730 (2023). MSC: 94-XX PDFBibTeX XMLCite \textit{B. Al Beattie} and \textit{K. Ochs}, Multidimensional Syst. Signal Process. 34, No. 4, 703--730 (2023; Zbl 07772688) Full Text: DOI OA License
Bavaud, François Exact first moments of the RV coefficient by invariant orthogonal integration. (English) Zbl 07740038 J. Multivariate Anal. 198, Article ID 105227, 14 p. (2023). MSC: 62Hxx 62H15 62H20 62G10 PDFBibTeX XMLCite \textit{F. Bavaud}, J. Multivariate Anal. 198, Article ID 105227, 14 p. (2023; Zbl 07740038) Full Text: DOI arXiv
Slobodkins, Arkadijs; Tausch, Johannes A node elimination algorithm for cubature of high-dimensional polytopes. (English) Zbl 07731308 Comput. Math. Appl. 144, 229-236 (2023). MSC: 65D32 41A55 65D30 41A63 65-02 PDFBibTeX XMLCite \textit{A. Slobodkins} and \textit{J. Tausch}, Comput. Math. Appl. 144, 229--236 (2023; Zbl 07731308) Full Text: DOI arXiv
Kritzer, Peter; Osisiogu, Onyekachi On a reduced component-by-component digit-by-digit construction of lattice point sets. (English) Zbl 1520.65014 Unif. Distrib. Theory 18, No. 1, 97-140 (2023). MSC: 65D30 65D32 41A55 41A63 65C05 PDFBibTeX XMLCite \textit{P. Kritzer} and \textit{O. Osisiogu}, Unif. Distrib. Theory 18, No. 1, 97--140 (2023; Zbl 1520.65014) Full Text: DOI arXiv
Hazra, Arijit; Balsara, Dinshaw S.; Chandrashekar, Praveen; Garain, Sudip K. Multidimensional generalized Riemann problem solver for Maxwell’s equations. (English) Zbl 1515.78034 J. Sci. Comput. 96, No. 1, Paper No. 26, 29 p. (2023). MSC: 78M12 65M08 35L65 PDFBibTeX XMLCite \textit{A. Hazra} et al., J. Sci. Comput. 96, No. 1, Paper No. 26, 29 p. (2023; Zbl 1515.78034) Full Text: DOI arXiv
Madunts, A. I. Rings generated by convergence sets of multidimensional complete field. (English. Russian original) Zbl 07688754 J. Math. Sci., New York 272, No. 3, 444-449 (2023); translation from Zap. Nauchn. Semin. POMI 500, 149-157 (2021). Reviewer: Kevin Keating (Gainesville) MSC: 11S80 11S15 11S31 PDFBibTeX XMLCite \textit{A. I. Madunts}, J. Math. Sci., New York 272, No. 3, 444--449 (2023; Zbl 07688754); translation from Zap. Nauchn. Semin. POMI 500, 149--157 (2021) Full Text: DOI
He, Zhijian; Zheng, Zhan; Wang, Xiaoqun On the error rate of importance sampling with randomized quasi-Monte Carlo. (English) Zbl 1511.65007 SIAM J. Numer. Anal. 61, No. 2, 515-538 (2023). MSC: 65C05 41A63 65D30 97N40 PDFBibTeX XMLCite \textit{Z. He} et al., SIAM J. Numer. Anal. 61, No. 2, 515--538 (2023; Zbl 1511.65007) Full Text: DOI arXiv
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V. N.; Tikhonov, S. On the cardinality of lower sets and universal discretization. (English) Zbl 1515.65123 J. Complexity 76, Article ID 101726, 16 p. (2023). MSC: 65J05 05A17 42B05 65D30 41A17 41A63 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Complexity 76, Article ID 101726, 16 p. (2023; Zbl 1515.65123) Full Text: DOI arXiv
Kritzer, Peter A note on the CBC-DBD construction of lattice rules with general positive weights. (English) Zbl 1515.65062 J. Complexity 76, Article ID 101721, 12 p. (2023). MSC: 65D30 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{P. Kritzer}, J. Complexity 76, Article ID 101721, 12 p. (2023; Zbl 1515.65062) Full Text: DOI arXiv
Duan, Liqin; Ye, Peixin; Li, Wan Complexity of Monte Carlo integration for Besov classes on the unit sphere. (English) Zbl 1512.65003 Ann. Funct. Anal. 14, No. 1, Paper No. 20, 18 p. (2023). MSC: 65C05 41A46 41A63 65D30 PDFBibTeX XMLCite \textit{L. Duan} et al., Ann. Funct. Anal. 14, No. 1, Paper No. 20, 18 p. (2023; Zbl 1512.65003) Full Text: DOI
Kosov, E. D.; Temlyakov, V. N. Bounds for the sampling discretization error and their applications to universal sampling discretization. arXiv:2312.05670 Preprint, arXiv:2312.05670 [math.NA] (2023). MSC: 65J05 42A05 65D30 41A63 BibTeX Cite \textit{E. D. Kosov} and \textit{V. N. Temlyakov}, ``Bounds for the sampling discretization error and their applications to universal sampling discretization'', Preprint, arXiv:2312.05670 [math.NA] (2023) Full Text: arXiv OA License
Zheng, Zhan; Wang, Hejin; Wang, Xiaoqun On the convergence conditions of Laplace importance sampling with randomized quasi-Monte Carlo. arXiv:2309.11025 Preprint, arXiv:2309.11025 [math.NA] (2023). MSC: 41A63 65D30 97N40 BibTeX Cite \textit{Z. Zheng} et al., ``On the convergence conditions of Laplace importance sampling with randomized quasi-Monte Carlo'', Preprint, arXiv:2309.11025 [math.NA] (2023) Full Text: arXiv OA License
Dai, F.; Temlyakov, V. Universal discretization and sparse sampling recovery. arXiv:2301.05962 Preprint, arXiv:2301.05962 [math.NA] (2023). MSC: 65J05 42A05 65D30 41A63 BibTeX Cite \textit{F. Dai} and \textit{V. Temlyakov}, ``Universal discretization and sparse sampling recovery'', Preprint, arXiv:2301.05962 [math.NA] (2023) Full Text: arXiv OA License
Makridin, Zakhar V.; Pavlov, Maxim V. Multidimensional conservation laws and integrable systems. II. (English) Zbl 07776421 Stud. Appl. Math. 148, No. 2, 813-824 (2022). MSC: 37K10 35Q53 35Q51 35B06 PDFBibTeX XMLCite \textit{Z. V. Makridin} and \textit{M. V. Pavlov}, Stud. Appl. Math. 148, No. 2, 813--824 (2022; Zbl 07776421) Full Text: DOI
Giap, Duong Xuan; Quang, Nguyen Van; Ngoc, Bui Nguyen Tram Some laws of large numbers for arrays of random upper semicontinuous functions. (English) Zbl 1522.60041 Fuzzy Sets Syst. 435, 129-148 (2022). MSC: 60F15 60B12 28B20 PDFBibTeX XMLCite \textit{D. X. Giap} et al., Fuzzy Sets Syst. 435, 129--148 (2022; Zbl 1522.60041) Full Text: DOI
Grinevich, Petr G.; Santini, Paolo M. The finite-gap method and the periodic Cauchy problem for \((2+1)\)-dimensional anomalous waves for the focusing Davey-Stewartson 2 equation. (English. Russian original) Zbl 1522.35465 Russ. Math. Surv. 77, No. 6, 1029-1059 (2022); translation from Usp. Mat. Nauk 77, No. 6, 77-108 (2022). MSC: 35Q55 35Q41 35C08 35C20 35B40 35B20 37K10 37K15 37K20 PDFBibTeX XMLCite \textit{P. G. Grinevich} and \textit{P. M. Santini}, Russ. Math. Surv. 77, No. 6, 1029--1059 (2022; Zbl 1522.35465); translation from Usp. Mat. Nauk 77, No. 6, 77--108 (2022) Full Text: DOI arXiv MNR
Todorov, Venelin An overview of lattice and adaptive approaches for multidimensional integrals. (English) Zbl 1522.65034 Fidanova, Stefka (ed.), Recent advances in computational optimization. Results of the workshop on computational optimization, WCO 2021. Cham: Springer. Stud. Comput. Intell. 1044, 333-348 (2022). MSC: 65D30 65C05 PDFBibTeX XMLCite \textit{V. Todorov}, Stud. Comput. Intell. 1044, 333--348 (2022; Zbl 1522.65034) Full Text: DOI
Chuluunbaatar, G.; Chuluunbaatar, O.; Gusev, A. A.; Vinitsky, S. I. PI-type fully symmetric quadrature rules on the 3-, …, 6-simplexes. (English) Zbl 1524.65104 Comput. Math. Appl. 124, 89-97 (2022). MSC: 65D32 65D30 41A55 41A63 65N30 PDFBibTeX XMLCite \textit{G. Chuluunbaatar} et al., Comput. Math. Appl. 124, 89--97 (2022; Zbl 1524.65104) Full Text: DOI
Krieg, David; Novak, Erich; Sonnleitner, Mathias Recovery of Sobolev functions restricted to iid sampling. (English) Zbl 07582812 Math. Comput. 91, No. 338, 2715-2738 (2022). MSC: 65C05 41A25 41A63 65D15 65D30 65Y20 PDFBibTeX XMLCite \textit{D. Krieg} et al., Math. Comput. 91, No. 338, 2715--2738 (2022; Zbl 07582812) Full Text: DOI arXiv
Ebert, Adrian; Kritzer, Peter; Osisiogu, Onyekachi; Stepaniuk, Tetiana Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces. (English) Zbl 1497.65057 Constr. Approx. 56, No. 1, 75-119 (2022). MSC: 65D30 65C05 41A55 41A63 65D32 PDFBibTeX XMLCite \textit{A. Ebert} et al., Constr. Approx. 56, No. 1, 75--119 (2022; Zbl 1497.65057) Full Text: DOI arXiv
Gao, Wenwu; Fasshauer, Gregory E.; Fisher, Nicholas Divergence-free quasi-interpolation. (English) Zbl 1512.41002 Appl. Comput. Harmon. Anal. 60, 471-488 (2022). MSC: 41A05 41A63 41A65 65D15 65D30 PDFBibTeX XMLCite \textit{W. Gao} et al., Appl. Comput. Harmon. Anal. 60, 471--488 (2022; Zbl 1512.41002) Full Text: DOI
Madunts, A. I. Convergence sets of multidimensional local fields. (English. Russian original) Zbl 1505.11147 J. Math. Sci., New York 264, No. 1, 80-85 (2022); translation from Zap. Nauchn. Semin. POMI 492, 125-133 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 11S80 PDFBibTeX XMLCite \textit{A. I. Madunts}, J. Math. Sci., New York 264, No. 1, 80--85 (2022; Zbl 1505.11147); translation from Zap. Nauchn. Semin. POMI 492, 125--133 (2020) Full Text: DOI
Bellet, Jean-Baptiste; Brachet, Matthieu; Croisille, Jean-Pierre Quadrature and symmetry on the cubed sphere. (English) Zbl 1485.65021 J. Comput. Appl. Math. 409, Article ID 114142, 15 p. (2022). MSC: 65D32 65D30 41A55 41A63 PDFBibTeX XMLCite \textit{J.-B. Bellet} et al., J. Comput. Appl. Math. 409, Article ID 114142, 15 p. (2022; Zbl 1485.65021) Full Text: DOI HAL
Takaki, Nick; Forbes, G. W.; Rolland, Jannick P. Schemes for cubature over the unit disk found via numerical optimization. (English) Zbl 1497.65061 J. Comput. Appl. Math. 407, Article ID 114076, 19 p. (2022). MSC: 65D32 41A55 41A63 65D30 PDFBibTeX XMLCite \textit{N. Takaki} et al., J. Comput. Appl. Math. 407, Article ID 114076, 19 p. (2022; Zbl 1497.65061) Full Text: DOI
Sonnleitner, Mathias The power of random information for numerical approximation and integration. arXiv:2209.07266 Preprint, arXiv:2209.07266 [math.NA] (2022). MSC: 11K38 41A25 41A63 52A23 52A39 60G15 62C05 65D15 65D30 65Y20 BibTeX Cite \textit{M. Sonnleitner}, ``The power of random information for numerical approximation and integration'', Preprint, arXiv:2209.07266 [math.NA] (2022) Full Text: arXiv OA License
Lepage, G. Peter Adaptive multidimensional integration: vegas enhanced. (English) Zbl 07512328 J. Comput. Phys. 439, Article ID 110386, 21 p. (2021). MSC: 81-XX 91Gxx 65Cxx PDFBibTeX XMLCite \textit{G. P. Lepage}, J. Comput. Phys. 439, Article ID 110386, 21 p. (2021; Zbl 07512328) Full Text: DOI arXiv
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. Sampling discretization of integral norms. (English) Zbl 1480.65060 Constr. Approx. 54, No. 3, 455-471 (2021). MSC: 65D30 42A05 41A63 PDFBibTeX XMLCite \textit{F. Dai} et al., Constr. Approx. 54, No. 3, 455--471 (2021; Zbl 1480.65060) Full Text: DOI arXiv
Vaisman, Radislav Sequential stratified splitting for efficient Monte Carlo integration. (English) Zbl 1477.60115 Sequential Anal. 40, No. 3, 314-335 (2021). MSC: 60J20 65C05 65C10 62F15 PDFBibTeX XMLCite \textit{R. Vaisman}, Sequential Anal. 40, No. 3, 314--335 (2021; Zbl 1477.60115) Full Text: DOI
Guessab, Allal; Roushan, Tahere Azimi Generalized barycentric coordinates and sharp strongly negative definite multidimensional numerical integration. (English) Zbl 1505.65148 Rassias, Themistocles M. (ed.), Approximation theory and analytic inequalities. Cham: Springer. 179-199 (2021). MSC: 65D30 41A55 41A63 PDFBibTeX XMLCite \textit{A. Guessab} and \textit{T. A. Roushan}, in: Approximation theory and analytic inequalities. Cham: Springer. 179--199 (2021; Zbl 1505.65148) Full Text: DOI
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. (English) Zbl 1481.65044 J. Complexity 66, Article ID 101555, 37 p. (2021). MSC: 65D30 65D32 65C05 41A55 41A63 PDFBibTeX XMLCite \textit{A. Ebert} et al., J. Complexity 66, Article ID 101555, 37 p. (2021; Zbl 1481.65044) Full Text: DOI arXiv
Vysotsky, L. I.; Smirnov, A. V.; Tyrtyshnikov, E. E. Tensor-train numerical integration of multivariate functions with singularities. (English) Zbl 1497.65062 Lobachevskii J. Math. 42, No. 7, 1608-1621 (2021). MSC: 65D32 41A55 41A63 65D30 PDFBibTeX XMLCite \textit{L. I. Vysotsky} et al., Lobachevskii J. Math. 42, No. 7, 1608--1621 (2021; Zbl 1497.65062) Full Text: DOI arXiv
Karvonen, Toni; Oates, Chris J.; Girolami, Mark Integration in reproducing kernel Hilbert spaces of Gaussian kernels. (English) Zbl 1510.65050 Math. Comput. 90, No. 331, 2209-2233 (2021). MSC: 65D30 46E22 65D12 41A25 41A63 PDFBibTeX XMLCite \textit{T. Karvonen} et al., Math. Comput. 90, No. 331, 2209--2233 (2021; Zbl 1510.65050) Full Text: DOI arXiv
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk Function integration, reconstruction and approximation using rank-\(1\) lattices. (English) Zbl 1466.42002 Math. Comput. 90, No. 330, 1861-1897 (2021). MSC: 42A10 41A10 41A63 65D30 65D32 65D15 PDFBibTeX XMLCite \textit{F. Y. Kuo} et al., Math. Comput. 90, No. 330, 1861--1897 (2021; Zbl 1466.42002) Full Text: DOI arXiv
Federico, Salvatore; Ferrari, Giorgio; Riedel, Frank; Röckner, Michael On a class of infinite-dimensional singular stochastic control problems. (English) Zbl 1467.93328 SIAM J. Control Optim. 59, No. 2, 1680-1704 (2021). MSC: 93E20 93C35 37L55 91B24 91G99 PDFBibTeX XMLCite \textit{S. Federico} et al., SIAM J. Control Optim. 59, No. 2, 1680--1704 (2021; Zbl 1467.93328) Full Text: DOI arXiv
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk; Sloan, Ian H. Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. (English) Zbl 1456.65016 Math. Comput. 90, No. 328, 787-812 (2021). MSC: 65D30 65D15 65T40 41A10 41A15 41A63 PDFBibTeX XMLCite \textit{R. Cools} et al., Math. Comput. 90, No. 328, 787--812 (2021; Zbl 1456.65016) Full Text: DOI arXiv
Dick, Josef; Goda, Takashi Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm. (English) Zbl 1484.65005 J. Comput. Appl. Math. 382, Article ID 113062, 15 p. (2021). MSC: 65C05 41A55 41A63 65D30 65D32 11K38 PDFBibTeX XMLCite \textit{J. Dick} and \textit{T. Goda}, J. Comput. Appl. Math. 382, Article ID 113062, 15 p. (2021; Zbl 1484.65005) Full Text: DOI arXiv
Krieg, David; Sonnleitner, Mathias Function recovery on manifolds using scattered data. arXiv:2109.04106 Preprint, arXiv:2109.04106 [math.NA] (2021). MSC: 41A55 65D05 41A25 41A63 58C35 65D15 BibTeX Cite \textit{D. Krieg} and \textit{M. Sonnleitner}, ``Function recovery on manifolds using scattered data'', Preprint, arXiv:2109.04106 [math.NA] (2021) Full Text: arXiv OA License
Tanaka, Ken’ichiro Kernel quadrature by applying a point-wise gradient descent method to discrete energies. arXiv:2102.10887 Preprint, arXiv:2102.10887 [math.NA] (2021). MSC: 65D30 65D32 65K05 41A55 41A63 BibTeX Cite \textit{K. Tanaka}, ``Kernel quadrature by applying a point-wise gradient descent method to discrete energies'', Preprint, arXiv:2102.10887 [math.NA] (2021) Full Text: arXiv OA License
Darkhovsky, B. S. Methods for estimating the global maximum point and the integral of a continuous function on a compact set. (English. Russian original) Zbl 1477.62401 Dokl. Math. 101, No. 3, 189-191 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 20-23 (2020). MSC: 62R40 28A25 65C05 PDFBibTeX XMLCite \textit{B. S. Darkhovsky}, Dokl. Math. 101, No. 3, 189--191 (2020; Zbl 1477.62401); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 20--23 (2020) Full Text: DOI
Bazarkhanov, Dauren B. Optimal numerical integration on classes of smooth functions in several variables. (English) Zbl 1488.42105 Kazakh Math. J. 20, No. 3, 101-110 (2020). MSC: 42B35 41A63 65D30 PDFBibTeX XMLCite \textit{D. B. Bazarkhanov}, Kazakh Math. J. 20, No. 3, 101--110 (2020; Zbl 1488.42105)
Mihailescu, Eugen; Urbański, Mariusz Skew product Smale endomorphisms over countable shifts of finite type. (English) Zbl 1452.37041 Ergodic Theory Dyn. Syst. 40, No. 11, 3105-3149 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37D35 37A35 37A44 37B10 37B51 37C45 46G10 60B05 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, Ergodic Theory Dyn. Syst. 40, No. 11, 3105--3149 (2020; Zbl 1452.37041) Full Text: DOI arXiv
Wasilkowski, G. W. \(\varepsilon\)-superposition and truncation dimensions, and multivariate method for \(\infty\)-variate linear problems. (English) Zbl 1445.41019 Hickernell, Fred J. (ed.) et al., Multivariate algorithms and information-based complexity. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 27, 89-108 (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A63 28C20 41A65 PDFBibTeX XMLCite \textit{G. W. Wasilkowski}, Radon Ser. Comput. Appl. Math. 27, 89--108 (2020; Zbl 1445.41019) Full Text: DOI
Krieg, David; Sonnleitner, Mathias Random points are optimal for the approximation of Sobolev functions. arXiv:2009.11275 Preprint, arXiv:2009.11275 [math.NA] (2020). MSC: 41A25 41A63 62D05 65D15 65D30 BibTeX Cite \textit{D. Krieg} and \textit{M. Sonnleitner}, ``Random points are optimal for the approximation of Sobolev functions'', Preprint, arXiv:2009.11275 [math.NA] (2020) Full Text: arXiv OA License
Zhang, Jie; Liu, Yongping Quasi-Monte Carlo tractability of integration problem in function spaces defined over products of balls. (English) Zbl 07140040 Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 6, Article ID 1950043, 20 p. (2019). MSC: 65-XX 41A63 65Y20 68Q25 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Y. Liu}, Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 6, Article ID 1950043, 20 p. (2019; Zbl 07140040) Full Text: DOI
Xu, Guiqiao; Liu, Yongping; Zhang, Jie Weighted integral of infinitely differentiable multivariate functions is exponentially convergent. (English) Zbl 1438.65031 Numer. Math., Theory Methods Appl. 12, No. 1, 98-114 (2019). MSC: 65D30 41A55 41A63 PDFBibTeX XMLCite \textit{G. Xu} et al., Numer. Math., Theory Methods Appl. 12, No. 1, 98--114 (2019; Zbl 1438.65031) Full Text: DOI
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W. Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. (English) Zbl 1432.46020 J. Complexity 54, Article ID 101406, 32 p. (2019). Reviewer: Peter Mathé (Berlin) MSC: 46E35 41A63 41A55 65D30 PDFBibTeX XMLCite \textit{M. Gnewuch} et al., J. Complexity 54, Article ID 101406, 32 p. (2019; Zbl 1432.46020) Full Text: DOI arXiv
van Zandt, James R. Efficient cubature rules. (English) Zbl 1431.65021 ETNA, Electron. Trans. Numer. Anal. 51, 219-239 (2019). MSC: 65D32 65D30 41A55 41A63 PDFBibTeX XMLCite \textit{J. R. van Zandt}, ETNA, Electron. Trans. Numer. Anal. 51, 219--239 (2019; Zbl 1431.65021) Full Text: DOI arXiv Link
Vermeeren, Mats Continuum limits of pluri-Lagrangian systems. (English) Zbl 1472.37068 J. Integrable Syst. 4, Article ID xyy020, 34 p. (2019). MSC: 37K06 37K10 39A14 39A36 35A15 PDFBibTeX XMLCite \textit{M. Vermeeren}, J. Integrable Syst. 4, Article ID xyy020, 34 p. (2019; Zbl 1472.37068) Full Text: DOI arXiv
Hietarinta, Jarmo Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. (English) Zbl 1417.37229 J. Nonlinear Math. Phys. 26, No. 3, 358-389 (2019). MSC: 37K10 37K60 37K35 PDFBibTeX XMLCite \textit{J. Hietarinta}, J. Nonlinear Math. Phys. 26, No. 3, 358--389 (2019; Zbl 1417.37229) Full Text: DOI arXiv
He, Zhijian On the error rate of conditional quasi-Monte Carlo for discontinuous functions. (English) Zbl 1417.65114 SIAM J. Numer. Anal. 57, No. 2, 854-874 (2019). Reviewer: Josef Kofroň (Praha) MSC: 65D30 65C05 41A63 91G60 PDFBibTeX XMLCite \textit{Z. He}, SIAM J. Numer. Anal. 57, No. 2, 854--874 (2019; Zbl 1417.65114) Full Text: DOI arXiv
Krieg, David Optimal Monte Carlo methods for \(L^2\)-approximation. (English) Zbl 07036368 Constr. Approx. 49, No. 2, 385-403 (2019). MSC: 65-XX 41A25 41A63 65C05 65D15 65D30 68Q25 65Y20 PDFBibTeX XMLCite \textit{D. Krieg}, Constr. Approx. 49, No. 2, 385--403 (2019; Zbl 07036368) Full Text: DOI arXiv
Grabner, Peter J.; Stepanyuk, Tetiana A. Comparison of probabilistic and deterministic point sets on the sphere. (English) Zbl 1409.41013 J. Approx. Theory 239, 128-143 (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A55 41A63 33C45 PDFBibTeX XMLCite \textit{P. J. Grabner} and \textit{T. A. Stepanyuk}, J. Approx. Theory 239, 128--143 (2019; Zbl 1409.41013) Full Text: DOI arXiv
Ebert, Adrian; Kritzer, Peter Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm. (English) Zbl 1524.65011 J. Comput. Appl. Math. 351, 77-100 (2019). MSC: 65C05 65D30 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{A. Ebert} and \textit{P. Kritzer}, J. Comput. Appl. Math. 351, 77--100 (2019; Zbl 1524.65011) Full Text: DOI arXiv
Krieg, David Algorithms and Complexity for some Multivariate Problems. arXiv:1905.01166 Preprint, arXiv:1905.01166 [math.NA] (2019). MSC: 41A25 41A46 41A55 41A63 41A65 52A23 60B20 65C05 65D15 65D30 65J99 65K10 65Y20 BibTeX Cite \textit{D. Krieg}, ``Algorithms and Complexity for some Multivariate Problems'', Preprint, arXiv:1905.01166 [math.NA] (2019) Full Text: arXiv OA License
Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich Integration and approximation in cosine spaces of smooth functions. (English) Zbl 1482.41021 Math. Comput. Simul. 143, 35-45 (2018). MSC: 41A63 42A10 47A58 PDFBibTeX XMLCite \textit{C. Irrgeher} et al., Math. Comput. Simul. 143, 35--45 (2018; Zbl 1482.41021) Full Text: DOI arXiv
Zilburg, Alon; Rosenau, Philip Multi-dimensional compactons and compact vortices. (English) Zbl 1411.35063 J. Phys. A, Math. Theor. 51, No. 39, Article ID 395201, 20 p. (2018). MSC: 35C08 35Q53 37K10 76B15 76B25 76B47 PDFBibTeX XMLCite \textit{A. Zilburg} and \textit{P. Rosenau}, J. Phys. A, Math. Theor. 51, No. 39, Article ID 395201, 20 p. (2018; Zbl 1411.35063) Full Text: DOI
Johnson, Robert W. Algorithm 988: AMGKQ: an efficient implementation of adaptive multivariate Gauss-Kronrod quadrature for simultaneous integrands in Octave/MATLAB. (English) Zbl 1484.65049 ACM Trans. Math. Softw. 44, No. 3, Article No. 36, 19 p. (2018). MSC: 65D30 65Y15 PDFBibTeX XMLCite \textit{R. W. Johnson}, ACM Trans. Math. Softw. 44, No. 3, Article No. 36, 19 p. (2018; Zbl 1484.65049) Full Text: DOI arXiv
Griewank, Andreas; Kuo, Frances Y.; Leövey, Hernan; Sloan, Ian H. High dimensional integration of kinks and jumps – smoothing by preintegration. (English) Zbl 1460.65023 J. Comput. Appl. Math. 344, 259-274 (2018). MSC: 65D30 41A63 65C05 91G60 PDFBibTeX XMLCite \textit{A. Griewank} et al., J. Comput. Appl. Math. 344, 259--274 (2018; Zbl 1460.65023) Full Text: DOI arXiv
Sergyeyev, A. Integrable \((3+1)\)-dimensional systems with rational Lax pairs. (English) Zbl 1390.37119 Nonlinear Dyn. 91, No. 3, 1677-1680 (2018). MSC: 37K35 37K10 PDFBibTeX XMLCite \textit{A. Sergyeyev}, Nonlinear Dyn. 91, No. 3, 1677--1680 (2018; Zbl 1390.37119) Full Text: DOI arXiv
Etayo, Ujué; Marzo, Jordi; Ortega-Cerdà, Joaquim Asymptotically optimal designs on compact algebraic manifolds. (English) Zbl 1479.05040 Monatsh. Math. 186, No. 2, 235-248 (2018). MSC: 05B30 41A55 41A63 52C35 65D30 14M15 PDFBibTeX XMLCite \textit{U. Etayo} et al., Monatsh. Math. 186, No. 2, 235--248 (2018; Zbl 1479.05040) Full Text: DOI arXiv Link
Nobile, Fabio; Tempone, Raúl; Wolfers, Sören Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. (English) Zbl 1394.65010 Numer. Math. 139, No. 1, 247-280 (2018). Reviewer: Aurelian Bejancu (Safat) MSC: 65D10 41A05 41A25 41A63 65C05 65D30 65D32 PDFBibTeX XMLCite \textit{F. Nobile} et al., Numer. Math. 139, No. 1, 247--280 (2018; Zbl 1394.65010) Full Text: DOI arXiv
Shamolin, M. V. The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. (English. Russian original) Zbl 1404.37071 J. Math. Sci., New York 228, No. 6, 723-730 (2018); translation from Probl. Mat. Anal. 90, 107-113 (2018). Reviewer: Teodor Atanacković (Novi Sad) MSC: 37J35 70E40 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 228, No. 6, 723--730 (2018; Zbl 1404.37071); translation from Probl. Mat. Anal. 90, 107--113 (2018) Full Text: DOI
Balsara, Dinshaw S.; Garain, Sudip; Taflove, Allen; Montecinos, Gino Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution. II: Higher order FVTD schemes. (English) Zbl 1380.78013 J. Comput. Phys. 354, 613-645 (2018). MSC: 78M12 PDFBibTeX XMLCite \textit{D. S. Balsara} et al., J. Comput. Phys. 354, 613--645 (2018; Zbl 1380.78013) Full Text: DOI
Nakatsukasa, Yuji Approximate and integrate: Variance reduction in Monte Carlo integration via function approximation. arXiv:1806.05492 Preprint, arXiv:1806.05492 [math.NA] (2018). MSC: 65C05 65D30 41A10 41A63 BibTeX Cite \textit{Y. Nakatsukasa}, ``Approximate and integrate: Variance reduction in Monte Carlo integration via function approximation'', Preprint, arXiv:1806.05492 [math.NA] (2018) Full Text: arXiv OA License
Bougeret, Marin; Duvillié, Guillerme; Giroudeau, Rodolphe; Watrigant, Rémi Multidimensional binary vector assignment problem: standard, structural and above guarantee parameterizations. (English) Zbl 1416.90040 Discrete Math. Theor. Comput. Sci. 19, No. 4, Paper No. 3, 16 p. (2017). MSC: 90C27 PDFBibTeX XMLCite \textit{M. Bougeret} et al., Discrete Math. Theor. Comput. Sci. 19, No. 4, Paper No. 3, 16 p. (2017; Zbl 1416.90040) Full Text: arXiv Link
Cho, Heyrim; Venturi, Daniele; Karniadakis, George Em Numerical methods for high-dimensional kinetic equations. (English) Zbl 1404.65117 Jin, Shi (ed.) et al., Uncertainty quantification for hyperbolic and kinetic equations. Cham: Springer (ISBN 978-3-319-67109-3/hbk; 978-3-319-67110-9/ebook). SEMA SIMAI Springer Series 14, 93-125 (2017). MSC: 65M12 35R60 76P05 82C31 65M50 65M06 65D32 65M55 15A69 41A63 65M70 65M60 65L05 PDFBibTeX XMLCite \textit{H. Cho} et al., SEMA SIMAI Springer Ser. 14, 93--125 (2017; Zbl 1404.65117) Full Text: DOI
Petrera, Matteo; Suris, Yuri B. On the classification of multidimensionally consistent 3D maps. (English) Zbl 1379.37106 Lett. Math. Phys. 107, No. 11, 2013-2027 (2017). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 39A12 39B12 51D25 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, Lett. Math. Phys. 107, No. 11, 2013--2027 (2017; Zbl 1379.37106) Full Text: DOI arXiv
Dau Hoang Hung; Le Thanh Hung Convergence of sequences of rational functions on \(\mathbb {C}^{n}\). (English) Zbl 1376.41009 Vietnam J. Math. 45, No. 4, 669-679 (2017). MSC: 41A20 30E20 41A63 PDFBibTeX XMLCite \textit{Dau Hoang Hung} and \textit{Le Thanh Hung}, Vietnam J. Math. 45, No. 4, 669--679 (2017; Zbl 1376.41009) Full Text: DOI
Nguyen, Van Kien; Ullrich, Mario; Ullrich, Tino Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube. (English) Zbl 1376.65028 Constr. Approx. 46, No. 1, 69-108 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 41A63 46E35 47B38 PDFBibTeX XMLCite \textit{V. K. Nguyen} et al., Constr. Approx. 46, No. 1, 69--108 (2017; Zbl 1376.65028) Full Text: DOI arXiv
Marmolejo-Olea, Emilio; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius Hardy spaces of Clifford algebra-valued monogenic functions in exterior domains and a higher dimensional version of Cauchy’s vanishing theorem. (English) Zbl 1373.35082 Complex Var. Elliptic Equ. 62, No. 9, 1374-1392 (2017). MSC: 35C15 15A66 35J05 35P25 35Q41 49Q15 65N80 35A08 PDFBibTeX XMLCite \textit{E. Marmolejo-Olea} et al., Complex Var. Elliptic Equ. 62, No. 9, 1374--1392 (2017; Zbl 1373.35082) Full Text: DOI
Gnewuch, Michael; Hefter, Mario; Hinrichs, Aicke; Ritter, Klaus Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration. (English) Zbl 1390.41037 J. Approx. Theory 222, 8-39 (2017). Reviewer: Peter Mathé (Berlin) MSC: 41A55 41A63 46E35 PDFBibTeX XMLCite \textit{M. Gnewuch} et al., J. Approx. Theory 222, 8--39 (2017; Zbl 1390.41037) Full Text: DOI arXiv
Gilbert, A. D.; Wasilkowski, G. W. Small superposition dimension and active set construction for multivariate integration under modest error demand. (English) Zbl 1372.65079 J. Complexity 42, 94-109 (2017). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{A. D. Gilbert} and \textit{G. W. Wasilkowski}, J. Complexity 42, 94--109 (2017; Zbl 1372.65079) Full Text: DOI arXiv
Kuo, F. Y.; Nuyens, D.; Plaskota, L.; Sloan, I. H.; Wasilkowski, G. W. Infinite-dimensional integration and the multivariate decomposition method. (English) Zbl 1370.65013 J. Comput. Appl. Math. 326, 217-234 (2017). MSC: 65D32 26B15 46E22 41A63 41A55 PDFBibTeX XMLCite \textit{F. Y. Kuo} et al., J. Comput. Appl. Math. 326, 217--234 (2017; Zbl 1370.65013) Full Text: DOI arXiv
Dimitrov, Stoyan; Dimov, Ivan; Todorov, Venelin Latin hypercube sampling and Fibonacci based lattice method comparison for computation of multidimensional integrals. (English) Zbl 1368.65033 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 302-310 (2017). MSC: 65D32 65C05 41A55 41A63 PDFBibTeX XMLCite \textit{S. Dimitrov} et al., Lect. Notes Comput. Sci. 10187, 302--310 (2017; Zbl 1368.65033) Full Text: DOI
Nuyens, Dirk; Suryanarayana, Gowri; Weimar, Markus Construction of quasi-Monte Carlo rules for multivariate integration in spaces of permutation-invariant functions. (English) Zbl 1375.65001 Constr. Approx. 45, No. 2, 311-344 (2017). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65D32 65Y20 68Q25 46E22 PDFBibTeX XMLCite \textit{D. Nuyens} et al., Constr. Approx. 45, No. 2, 311--344 (2017; Zbl 1375.65001) Full Text: DOI arXiv Link
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H. The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. (English) Zbl 1365.41021 Math. Comput. 86, No. 306, 1855-1876 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A99 65D30 PDFBibTeX XMLCite \textit{M. Griebel} et al., Math. Comput. 86, No. 306, 1855--1876 (2017; Zbl 1365.41021) Full Text: DOI
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H. Note on “The smoothing effect of integration in \(\mathbb {R}^d\) and the ANOVA decomposition”. (English) Zbl 1365.41020 Math. Comput. 86, No. 306, 1847-1854 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A99 65D30 PDFBibTeX XMLCite \textit{M. Griebel} et al., Math. Comput. 86, No. 306, 1847--1854 (2017; Zbl 1365.41020) Full Text: DOI
Suzuki, Kosuke Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions. (English) Zbl 1359.65008 J. Complexity 39, 51-68 (2017). MSC: 65C05 41A55 41A63 65D32 PDFBibTeX XMLCite \textit{K. Suzuki}, J. Complexity 39, 51--68 (2017; Zbl 1359.65008) Full Text: DOI arXiv
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk Multivariate integration for analytic functions with Gaussian kernels. (English) Zbl 1356.41016 Math. Comput. 86, No. 304, 829-853 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A99 65D30 PDFBibTeX XMLCite \textit{F. Y. Kuo} et al., Math. Comput. 86, No. 304, 829--853 (2017; Zbl 1356.41016) Full Text: DOI
Hinrichs, Aicke; Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk Product rules are optimal for numerical integration in classical smoothness spaces. (English) Zbl 1354.65043 J. Complexity 38, 39-49 (2017). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{A. Hinrichs} et al., J. Complexity 38, 39--49 (2017; Zbl 1354.65043) Full Text: DOI arXiv
Bougeret, M.; Boudet, V.; Dokka, T.; Duvillié, G.; Giroudeau, R. On the complexity of wafer-to-wafer integration. (English) Zbl 1387.68121 Discrete Optim. 22, Part B, 255-269 (2016). MSC: 68Q17 68Q25 68W25 90C27 PDFBibTeX XMLCite \textit{M. Bougeret} et al., Discrete Optim. 22, Part B, 255--269 (2016; Zbl 1387.68121) Full Text: DOI
Hahn, T. Concurrent Cuba. (English) Zbl 1380.65471 Comput. Phys. Commun. 207, 341-349 (2016). MSC: 65Y15 65D30 65Y05 65-04 PDFBibTeX XMLCite \textit{T. Hahn}, Comput. Phys. Commun. 207, 341--349 (2016; Zbl 1380.65471) Full Text: DOI arXiv
Cuyt, Annie; Lee, Wen-shin; Yang, Xianglan On tensor decomposition, sparse interpolation and Padé approximation. (English) Zbl 1377.41021 Jaen J. Approx. 8, No. 1, 33-58 (2016). MSC: 41A63 41A21 41A55 42B35 PDFBibTeX XMLCite \textit{A. Cuyt} et al., Jaen J. Approx. 8, No. 1, 33--58 (2016; Zbl 1377.41021)
Dettmers, Kristin; Switkes, Jennifer Settling the waters: exploring an iterative integration technique. (English) Zbl 1358.65018 Math. Sci. 41, No. 2, 89-93 (2016). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{K. Dettmers} and \textit{J. Switkes}, Math. Sci. 41, No. 2, 89--93 (2016; Zbl 1358.65018)
Ullrich, Mario On “Upper error bounds for quadrature formulas on function classes” by K. K. Frolov. (English) Zbl 1356.65089 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, 571-582 (2016). MSC: 65D32 41A55 41A63 65-01 PDFBibTeX XMLCite \textit{M. Ullrich}, Springer Proc. Math. Stat. 163, 571--582 (2016; Zbl 1356.65089) Full Text: DOI arXiv
Siedlecki, Paweł Uniform weak tractability of weighted integration. (English) Zbl 1356.65087 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, 545-555 (2016). MSC: 65D32 41A55 41A63 65Y20 PDFBibTeX XMLCite \textit{P. Siedlecki}, Springer Proc. Math. Stat. 163, 545--555 (2016; Zbl 1356.65087) Full Text: DOI
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
Jiménez Rugama, Lluís Antoni; Hickernell, Fred J. Adaptive multidimensional integration based on rank-1 lattices. (English) Zbl 1356.65008 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, 407-422 (2016). MSC: 65C05 PDFBibTeX XMLCite \textit{L. A. Jiménez Rugama} and \textit{F. J. Hickernell}, Springer Proc. Math. Stat. 163, 407--422 (2016; Zbl 1356.65008) Full Text: DOI arXiv
Hickernell, Fred J.; Jiménez Rugama, Lluís Antoni Reliable adaptive cubature using digital sequences. (English) Zbl 1356.65006 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, 367-383 (2016). MSC: 65C05 PDFBibTeX XMLCite \textit{F. J. Hickernell} and \textit{L. A. Jiménez Rugama}, Springer Proc. Math. Stat. 163, 367--383 (2016; Zbl 1356.65006) Full Text: DOI arXiv
Novak, Erich Some results on the complexity of numerical integration. (English) Zbl 1356.65085 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, 161-183 (2016). MSC: 65D32 65Y20 41A55 41A63 PDFBibTeX XMLCite \textit{E. Novak}, Springer Proc. Math. Stat. 163, 161--183 (2016; Zbl 1356.65085) Full Text: DOI arXiv
Litsarev, Mikhail S.; Oseledets, Ivan V. A low-rank approach to the computation of path integrals. (English) Zbl 1349.65549 J. Comput. Phys. 305, 557-574 (2016). MSC: 65M99 60J65 PDFBibTeX XMLCite \textit{M. S. Litsarev} and \textit{I. V. Oseledets}, J. Comput. Phys. 305, 557--574 (2016; Zbl 1349.65549) Full Text: DOI arXiv
Schelthoff, Christof Analysis 2. 4th edition. (Analysis 2.) (German) Zbl 1349.26004 MATSE-Matik. Aachen: Shaker Verlag (ISBN 978-3-8440-4674-8/pbk). 224 p. (2016). MSC: 26-01 26Bxx 34-01 PDFBibTeX XMLCite \textit{C. Schelthoff}, Analysis 2. 4th edition. Aachen: Shaker Verlag (2016; Zbl 1349.26004)
Krasil’shchik, I. S.; Sergyeyev, A.; Morozov, O. I. Infinitely many nonlocal conservation laws for the ABC equation with \(A+B+C\neq 0\). (English) Zbl 1352.37178 Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 123, 12 p. (2016). MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik} et al., Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 123, 12 p. (2016; Zbl 1352.37178) Full Text: DOI arXiv