Islam, Mohammad Shafiqul; Smith, Adam A linear spline maximum entropy method for Frobenius-Perron operators of multi-dimensional transformations. (English) Zbl 1498.65031 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 180, 17 p. (2022). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{M. S. Islam} and \textit{A. Smith}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 180, 17 p. (2022; Zbl 1498.65031) Full Text: DOI
Alshekhi, Azzah; Ding, Jiu; Rhee, Noah A cubic spline projection method for computing stationary densities of dynamical systems. (English) Zbl 07568061 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250123, 12 p. (2022). MSC: 65-XX 41Axx 37Axx 28Dxx PDFBibTeX XMLCite \textit{A. Alshekhi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250123, 12 p. (2022; Zbl 07568061) Full Text: DOI
Huang, Qianglian; Ding, Jiu; Rhee, Noah H. Convergence analysis of projection methods for Frobenius-Perron operators based on matrix norm techniques. (English) Zbl 07096842 J. Math. Anal. Appl. 479, No. 1, 337-349 (2019). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{Q. Huang} et al., J. Math. Anal. Appl. 479, No. 1, 337--349 (2019; Zbl 07096842) Full Text: DOI
Zarebnia, M.; Parvaz, R.; Saboor Bagherzadeh, A. On the error estimation of spline method for second order boundary value problem. (English) Zbl 1401.65083 J. Appl. Math. Comput. 58, No. 1-2, 601-619 (2018). MSC: 65L60 65L10 65L70 34B15 41A15 PDFBibTeX XMLCite \textit{M. Zarebnia} et al., J. Appl. Math. Comput. 58, No. 1--2, 601--619 (2018; Zbl 1401.65083) Full Text: DOI
Ding, Jiu; Rhee, Noah H.; Zhang, Chenhua On polynomial maximum entropy method for classical moment problem. (English) Zbl 1490.41011 Adv. Appl. Math. Mech. 8, No. 1, 117-127 (2016). MSC: 41A35 65D07 65J10 PDFBibTeX XMLCite \textit{J. Ding} et al., Adv. Appl. Math. Mech. 8, No. 1, 117--127 (2016; Zbl 1490.41011) Full Text: DOI
Jin, Congming; Ding, Jiu Solving Fredholm integral equations via a piecewise linear maximum entropy method. (English) Zbl 1416.65538 J. Comput. Appl. Math. 304, 130-137 (2016). MSC: 65R20 45B05 41A35 65D07 PDFBibTeX XMLCite \textit{C. Jin} and \textit{J. Ding}, J. Comput. Appl. Math. 304, 130--137 (2016; Zbl 1416.65538) Full Text: DOI
Ding, Jiu; Rhee, Noah H. Birkhoff’s ergodic theorem and the piecewise-constant maximum entropy method for Frobenius-Perron operators. (English) Zbl 1263.41012 Int. J. Comput. Math. 89, No. 8, 1083-1091 (2012). Reviewer: Vladimir V. Peller (East Lansing) MSC: 41A35 65D07 65J10 PDFBibTeX XMLCite \textit{J. Ding} and \textit{N. H. Rhee}, Int. J. Comput. Math. 89, No. 8, 1083--1091 (2012; Zbl 1263.41012) Full Text: DOI
Beg, Ismat; Abbas, Mujahid Fixed point, approximate fixed point and Kantorovich–Rubinstein maximum principle in convex metric spaces. (English) Zbl 1168.47052 J. Appl. Math. Comput. 27, No. 1-2, 211-226 (2008). MSC: 47J25 54H25 47H10 47H09 41A65 PDFBibTeX XMLCite \textit{I. Beg} and \textit{M. Abbas}, J. Appl. Math. Comput. 27, No. 1--2, 211--226 (2008; Zbl 1168.47052) Full Text: DOI
Ding, Jiu; Jin, Congming; Zhou, Aihui A posteriori error estimates for Markov approximations of Frobenius-Perron operators. (English) Zbl 1119.41018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 763-772 (2007). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A35 65D07 65J10 PDFBibTeX XMLCite \textit{J. Ding} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 763--772 (2007; Zbl 1119.41018) Full Text: DOI
Bos, L. P.; Maier, U. On the asymptotics of Fekete-type points for univariate radial basis interpolation. (English) Zbl 1128.41301 J. Approximation Theory 119, No. 2, 252-270 (2002). Reviewer: W. R. Madych (Storrs) MSC: 41A30 41A63 PDFBibTeX XMLCite \textit{L. P. Bos} and \textit{U. Maier}, J. Approx. Theory 119, No. 2, 252--270 (2002; Zbl 1128.41301) Full Text: DOI
Mohseni, M.; Sabeti, R. On the approximation of a class of unbounded invariant densities. (English) Zbl 0909.41014 Nonlinear Anal., Theory Methods Appl. 31, No. 1-2, 137-147 (1998). Reviewer: J.Kofroň (Praha) MSC: 41A35 PDFBibTeX XMLCite \textit{M. Mohseni} and \textit{R. Sabeti}, Nonlinear Anal., Theory Methods Appl. 31, No. 1--2, 137--147 (1998; Zbl 0909.41014) Full Text: DOI
Davis, G.; Mallat, S.; Avellaneda, M. Adaptive greedy approximations. (English) Zbl 0885.41006 Constructive Approximation 13, No. 1, 57-98 (1997). Reviewer: A.L.Lukashov (Saratov) MSC: 41A10 68Q15 37A99 65D99 60H30 PDFBibTeX XMLCite \textit{G. Davis} et al., Constr. Approx. 13, No. 1, 57--98 (1997; Zbl 0885.41006) Full Text: DOI
Bugiel, Piotr Approximation for the invariant measures of Markov maps in \(\mathbb{R}^ d\). (English) Zbl 0845.58042 Math. Z. 221, No. 1, 139-152 (1996). Reviewer: P.Bugiel (Kraków) MSC: 37A99 28D05 60J25 41A35 PDFBibTeX XMLCite \textit{P. Bugiel}, Math. Z. 221, No. 1, 139--152 (1996; Zbl 0845.58042) Full Text: DOI EuDML
Boyarsky, A.; Lou, Y. S. Approximating measures invariant under higher-dimensional chaotic transformations. (English) Zbl 0737.41022 J. Approximation Theory 65, No. 2, 231-244 (1991). Reviewer: A.-I.Lupaş (Sibiu) MSC: 41A36 PDFBibTeX XMLCite \textit{A. Boyarsky} and \textit{Y. S. Lou}, J. Approx. Theory 65, No. 2, 231--244 (1991; Zbl 0737.41022) Full Text: DOI
Beer, Gerald Approximate selections for upper semicontinuous convex valued multifunctions. (English) Zbl 0536.41039 J. Approximation Theory 39, 172-184 (1983). Reviewer: P.L.Papini MSC: 41A65 54C65 54C50 PDFBibTeX XMLCite \textit{G. Beer}, J. Approx. Theory 39, 172--184 (1983; Zbl 0536.41039) Full Text: DOI
Boyarsky, Abraham Approximating the absolutely continuous measures invariant under general maps of the interval. (English) Zbl 0511.28011 Proc. Am. Math. Soc. 87, 475-480 (1983). MSC: 28D05 41A30 PDFBibTeX XMLCite \textit{A. Boyarsky}, Proc. Am. Math. Soc. 87, 475--480 (1983; Zbl 0511.28011) Full Text: DOI
Reich, Simeon Approximate selections, best approximations, fixed points, and invariant sets. (English) Zbl 0375.47031 J. Math. Anal. Appl. 62, 104-113 (1978). MSC: 47H10 41A50 54C60 54C65 PDFBibTeX XMLCite \textit{S. Reich}, J. Math. Anal. Appl. 62, 104--113 (1978; Zbl 0375.47031) Full Text: DOI
Li, Tien-Yien Finite approximation for the Frobenius-Perron operator. A solution to Ulam’s conjecture. (English) Zbl 0357.41011 J. Approximation Theory 17, 177-186 (1976). MSC: 41A35 41A65 PDFBibTeX XMLCite \textit{T.-Y. Li}, J. Approx. Theory 17, 177--186 (1976; Zbl 0357.41011) Full Text: DOI