Gupta, Reema; Saha Ray, S. A new effective coherent numerical technique based on shifted Vieta-Fibonacci polynomials for solving stochastic fractional integro-differential equation. (English) Zbl 07735372 Comput. Appl. Math. 42, No. 6, Paper No. 256, 25 p. (2023). MSC: 60H20 34A08 97N50 65D30 41A15 PDFBibTeX XMLCite \textit{R. Gupta} and \textit{S. Saha Ray}, Comput. Appl. Math. 42, No. 6, Paper No. 256, 25 p. (2023; Zbl 07735372) Full Text: DOI
Gal, Sorin G.; Niculescu, Constantin P. Approximation of random functions by stochastic Bernstein polynomials in capacity spaces. (English) Zbl 1488.60135 Carpathian J. Math. 37, No. 2, 185-194 (2021). MSC: 60G99 41A10 28A25 PDFBibTeX XMLCite \textit{S. G. Gal} and \textit{C. P. Niculescu}, Carpathian J. Math. 37, No. 2, 185--194 (2021; Zbl 1488.60135) Full Text: DOI
Gal, Sorin G.; Niculescu, Constantin Approximation of Random Functions by Random Polynomials in the Framework of Choquet’s Theory of Integration. arXiv:2003.14301 Preprint, arXiv:2003.14301 [math.CA] (2020). MSC: 60G99 41A10 41A36 28A25 BibTeX Cite \textit{S. G. Gal} and \textit{C. Niculescu}, ``Approximation of Random Functions by Random Polynomials in the Framework of Choquet's Theory of Integration'', Preprint, arXiv:2003.14301 [math.CA] (2020) Full Text: arXiv OA License
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
Gal, Sorin G. Approximation by Choquet integral operators. (English) Zbl 1342.41027 Ann. Mat. Pura Appl. (4) 195, No. 3, 881-896 (2016). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A36 41A25 28A10 28A12 28A25 60E15 PDFBibTeX XMLCite \textit{S. G. Gal}, Ann. Mat. Pura Appl. (4) 195, No. 3, 881--896 (2016; Zbl 1342.41027) Full Text: DOI arXiv
Zhou, Tao; Narayan, Akil; Xiu, Dongbin Weighted discrete least-squares polynomial approximation using randomized quadratures. (English) Zbl 1349.60086 J. Comput. Phys. 298, 787-800 (2015). MSC: 60G99 41A10 65C20 65D15 65D30 PDFBibTeX XMLCite \textit{T. Zhou} et al., J. Comput. Phys. 298, 787--800 (2015; Zbl 1349.60086) Full Text: DOI
Geiss, Stefan; Toivola, Anni On fractional smoothness and \(L_{p}\)-approximation on the Gaussian space. (English) Zbl 1343.60068 Ann. Probab. 43, No. 2, 605-638 (2015). MSC: 60H07 60H05 46E35 26A33 46B70 41A25 PDFBibTeX XMLCite \textit{S. Geiss} and \textit{A. Toivola}, Ann. Probab. 43, No. 2, 605--638 (2015; Zbl 1343.60068) Full Text: DOI arXiv Euclid
Chowdhary, Kamaljit; Dupuis, Paul Distinguishing and integrating aleatoric and epistemic variation in uncertainty quantification. (English) Zbl 1266.65009 ESAIM, Math. Model. Numer. Anal. 47, No. 3, 635-662 (2013). MSC: 65C50 41A10 60H35 65C30 PDFBibTeX XMLCite \textit{K. Chowdhary} and \textit{P. Dupuis}, ESAIM, Math. Model. Numer. Anal. 47, No. 3, 635--662 (2013; Zbl 1266.65009) Full Text: DOI arXiv
Wang, Qi Application of rational expansion method for differential-difference equation. (English) Zbl 1247.37067 Commun. Theor. Phys. 56, No. 6, 981-986 (2011). MSC: 37K10 37K40 37H10 35C08 41A58 PDFBibTeX XMLCite \textit{Q. Wang}, Commun. Theor. Phys. 56, No. 6, 981--986 (2011; Zbl 1247.37067) Full Text: DOI
Gulo, I. N.; Yanovich, L. A. Quadrature formulas for stochastic integrals of nonrandom periodic functions. (Russian. English summary) Zbl 1267.65003 Dokl. Nats. Akad. Nauk Belarusi 54, No. 3, 14-19 (2010). MSC: 65C20 41A55 60H05 65D30 PDFBibTeX XMLCite \textit{I. N. Gulo} and \textit{L. A. Yanovich}, Dokl. Nats. Akad. Nauk Belarusi 54, No. 3, 14--19 (2010; Zbl 1267.65003)
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus Infinite-dimensional quadrature and approximation of distributions. (English) Zbl 1177.65011 Found. Comput. Math. 9, No. 4, 391-429 (2009). Reviewer: Gong Guanglu (Beijing) MSC: 65C05 60G15 60H10 41A46 PDFBibTeX XMLCite \textit{J. Creutzig} et al., Found. Comput. Math. 9, No. 4, 391--429 (2009; Zbl 1177.65011) Full Text: DOI arXiv
Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. Numerical recipes. The art of scientific computing. 3rd ed. (English) Zbl 1132.65001 Cambridge: Cambridge University Press (ISBN 978-0-521-88068-8/hbk; 978-0-511-33239-5/ebook). xxi, 1235 p. (2007). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx 15-04 33-04 34-04 35-04 41-04 42-04 62-04 62H30 65C10 65C99 65D18 65E05 65K05 65T40 68-04 68U05 90-04 68W30 PDFBibTeX XMLCite \textit{W. H. Press} et al., Numerical recipes. The art of scientific computing. 3rd ed. Cambridge: Cambridge University Press (2007; Zbl 1132.65001)
Anastassiou, George A. Optimal approximation of discrete Csiszar \(f\)-divergence. (English) Zbl 1130.26003 Math. Balk., New Ser. 20, No. 2, 185-206 (2006). MSC: 26A33 26B40 26D15 28A25 41A17 41A25 60B10 60E15 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Math. Balk., New Ser. 20, No. 2, 185--206 (2006; Zbl 1130.26003)
Wang, Xinghua; Mi, Xiangjiang The best quadrature formula based on Hermite information for the class \(KW^2[a,b]\). (English) Zbl 1126.65022 Sci. China, Ser. A 48, No. 1, 79-87 (2005). MSC: 65D30 41A55 65D05 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X. Mi}, Sci. China, Ser. A 48, No. 1, 79--87 (2005; Zbl 1126.65022)
Abbasbandy, Saeid; Araghi, Mohammad Ali Fariborzi A stochastic scheme for solving definite integrals. (English) Zbl 1079.65021 Appl. Numer. Math. 55, No. 2, 125-136 (2005). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 60H30 65C50 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. A. F. Araghi}, Appl. Numer. Math. 55, No. 2, 125--136 (2005; Zbl 1079.65021) Full Text: DOI
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). (English) Zbl 1068.65005 Math. Comput. 73, No. 248, 1885-1901 (2004). Reviewer: Yusuf Avci (Ýstanbul) MSC: 65C05 41A55 62M20 60G25 PDFBibTeX XMLCite \textit{F. J. Hickernell} et al., Math. Comput. 73, No. 248, 1885--1901 (2004; Zbl 1068.65005) Full Text: DOI
Khan, Abdul Rahim; Hussain, Nawab Random coincidence point theorem in Fréchet spaces with applications. (English) Zbl 1036.60058 Stochastic Anal. Appl. 22, No. 1, 155-167 (2004). Reviewer: George Stoica (Saint John) MSC: 60H25 28B20 41A65 47H10 46A04 54H25 PDFBibTeX XMLCite \textit{A. R. Khan} and \textit{N. Hussain}, Stochastic Anal. Appl. 22, No. 1, 155--167 (2004; Zbl 1036.60058) Full Text: DOI
Lee, Lung-fei Interpolation, quadrature, and stochastic integration. (English) Zbl 1017.65016 Econom. Theory 17, No. 5, 933-961 (2001). MSC: 65D32 62P20 65C50 60H35 60H05 41A55 65C60 PDFBibTeX XMLCite \textit{L.-f. Lee}, Econom. Theory 17, No. 5, 933--961 (2001; Zbl 1017.65016) Full Text: DOI
Fuentes, Montserrat Predicting integrals of diffusion processes. (English) Zbl 0958.62092 J. Stat. Plann. Inference 90, No. 2, 183-193 (2000). MSC: 62M20 62M40 41A25 PDFBibTeX XMLCite \textit{M. Fuentes}, J. Stat. Plann. Inference 90, No. 2, 183--193 (2000; Zbl 0958.62092) Full Text: DOI
Grabner, Peter J.; Liardet, Pierre; Tichy, Robert F. Average case analysis of numerical integration. (English) Zbl 0949.65057 Haußmann, Werner (ed.) et al., Advances in multivariate approximation. Proceedings of the 3rd international conference on multivariate approximation theory, Witten-Bommerholz, Germany, September 27-October 2, 1998. Berlin: Wiley-VCH. Math. Res. 107, 185-200 (1999). MSC: 65J10 65D32 60H05 65C50 43A85 41A65 60G15 PDFBibTeX XMLCite \textit{P. J. Grabner} et al., Math. Res. 107, 185--200 (1999; Zbl 0949.65057)
Ritter, Klaus Asymptotic optimality of regular sequence designs. (English) Zbl 0905.62077 Ann. Stat. 24, No. 5, 2081-2096 (1996). MSC: 62K05 62M99 41A55 60G12 65D30 PDFBibTeX XMLCite \textit{K. Ritter}, Ann. Stat. 24, No. 5, 2081--2096 (1996; Zbl 0905.62077) Full Text: DOI
Ahmed, N. U. Functional analysis on Wiener measure space and evolutions on Fock spaces. (English) Zbl 0830.46038 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 1. Proceedings of the 1st international conference, held at Morehouse College, Atlanta, GA, USA, May 26-29, 1993. Atlanta, GA: Dynamic Publishers, Inc. 1-9 (1994). MSC: 46G12 41A30 60H05 60J65 PDFBibTeX XMLCite \textit{N. U. Ahmed}, in: Dynamic systems and applications. Vol. 1. Proceedings of the 1st international conference, held at Morehouse College, Atlanta, GA, USA, May 26-29, 1993. Atlanta, GA: Dynamic Publishers, Inc.. 1--9 (1994; Zbl 0830.46038)
Lee, Jinkoo; Johnson, G. E. Optimal tolerance allotment using a genetic algorithm and truncated Monte Carlo simulation. (English) Zbl 0779.65015 Comput.-Aided Des. 25, No. 9, 601-611 (1993). MSC: 65D32 41A55 65C05 41A63 PDFBibTeX XMLCite \textit{J. Lee} and \textit{G. E. Johnson}, Comput.-Aided Des. 25, No. 9, 601--611 (1993; Zbl 0779.65015) Full Text: DOI
Genz, Alan Statistics applications of subregion adaptive multiple numerical integration. (English) Zbl 0741.65015 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 267-280 (1992). MSC: 65D32 65C99 41A55 41A63 PDFBibTeX XMLCite \textit{A. Genz}, in: Numerical integration. Recent developments, software and applications. Proceedings of the NATO advanced research workshop, Bergen, Norway, June 17-22, 1991. . 267--280 (1992; Zbl 0741.65015)
Bogachev, V. I. Smooth measures, the Malliavin calculus and approximations in infinite dimensional spaces. (English) Zbl 0834.46028 Acta Univ. Carol., Math. Phys. 31, No. 2, 9-23 (1990). MSC: 46G05 46G12 60H07 41A30 46E27 PDFBibTeX XMLCite \textit{V. I. Bogachev}, Acta Univ. Carol., Math. Phys. 31, No. 2, 9--23 (1990; Zbl 0834.46028) Full Text: EuDML
Němec, F. Adaptive methods of numerical quadrature. (English) Zbl 0697.65008 Commentat. Math. Univ. Carol. 31, No. 1, 191-192 (1990). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{F. Němec}, Commentat. Math. Univ. Carol. 31, No. 1, 191--192 (1990; Zbl 0697.65008)
Plant, Mark W.; Quandt, Richard E. On the accuracy and cost of numerical integration in several variables. (English) Zbl 0715.65119 J. Stat. Comput. Simulation 32, No. 4, 229-248 (1989). MSC: 65C99 65D32 41A55 41A63 62E17 PDFBibTeX XMLCite \textit{M. W. Plant} and \textit{R. E. Quandt}, J. Stat. Comput. Simulation 32, No. 4, 229--248 (1989; Zbl 0715.65119) Full Text: DOI
Shaw, J. E. H. Aspects of numerical integration and summarisation. (English) Zbl 0712.65013 Bayesian statistics 3, Proc. 3rd Valencia Int. Meet., Altea/Spain 1987, 411-428 (1988). Reviewer: I.Dimov MSC: 65D32 65C99 65C05 62F15 41A55 PDFBibTeX XML
Jetter, Kurt Gaussian quadrature formulae involving derivatives of lacunary type. (English) Zbl 0649.41014 Numerical integration III, Proc. Conf., Oberwolfach/FRG 1987, ISNM 85, 72-78 (1988). Reviewer: M.M.Rao MSC: 41A55 65D30 PDFBibTeX XML
Genz, Alan; Kahaner, David K. The numerical evaluation of certain multivariate normal integrals. (English) Zbl 0596.65006 J. Comput. Appl. Math. 16, 255-258 (1986). MSC: 65D20 65D32 41A55 33B20 65C99 41A63 PDFBibTeX XMLCite \textit{A. Genz} and \textit{D. K. Kahaner}, J. Comput. Appl. Math. 16, 255--258 (1986; Zbl 0596.65006) Full Text: DOI
Yanovich, L. A. On quadrature formulas for stochastic integrals of nonrandom functions. (English) Zbl 0577.41018 Sel. Transl. Math. Stat. Probab. 16, 19-22 (1985). MSC: 41A55 60H05 65D30 PDFBibTeX XMLCite \textit{L. A. Yanovich}, Sel. Transl. Math. Stat. Probab. 16, 19--22 (1985; Zbl 0577.41018)
Yanovich, L. A. On quadrature formulae for stochastic integrals of non-random functions. (Russian) Zbl 0485.41030 Dokl. Akad. Nauk BSSR 24, 971-973 (1980). MSC: 41A55 65D30 60H05 PDFBibTeX XMLCite \textit{L. A. Yanovich}, Dokl. Akad. Nauk BSSR 24, 971--973 (1980; Zbl 0485.41030)
Zaremba, Stanislaw K. L’erreur dans le calcul des intégrales doubles par la méthode des bons treillis. (French) Zbl 0325.65013 Demonstr. Math. 8, 347-364 (1975). MSC: 65D30 41A55 65C99 65G50 PDFBibTeX XMLCite \textit{S. K. Zaremba}, Demonstr. Math. 8, 347--364 (1975; Zbl 0325.65013) Full Text: DOI