Gu, Dong-Qin; Wang, Zhong-Qing; Zhang, Chao New rational interpolation basis functions on the unbounded intervals and their applications. (English) Zbl 07814764 Numer. Math., Theory Methods Appl. 16, No. 2, 453-488 (2023). MSC: 65M70 33C45 30C15 65N35 41A05 PDFBibTeX XMLCite \textit{D.-Q. Gu} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 453--488 (2023; Zbl 07814764) Full Text: DOI
Zhang, Chao; Yao, Guoqing; Chen, Sheng A robust hybrid spectral method for nonlocal problems with weakly singular kernels. (English) Zbl 1524.65693 Numer. Math., Theory Methods Appl. 15, No. 4, 1041-1062 (2022). MSC: 65M70 65N35 41A25 42B20 45D05 42C10 65R20 65M12 65M15 PDFBibTeX XMLCite \textit{C. Zhang} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 1041--1062 (2022; Zbl 1524.65693) Full Text: DOI
Chen, Xuejuan; Mao, Zhiping; Karniadakis, George Em Efficient and accurate numerical methods using the accelerated spectral deferred correction for solving fractional differential equations. (English) Zbl 1524.65643 Numer. Math., Theory Methods Appl. 15, No. 4, 876-902 (2022). MSC: 65M70 65N35 65E05 41A05 41A10 41A25 26A33 35M11 65F10 65F08 34A08 65N50 65R20 PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 876--902 (2022; Zbl 1524.65643) Full Text: DOI
Huang, Aitong; Feng, Renzhong; Zheng, Sanpeng The recovery guarantee for orthogonal matching pursuit method to reconstruct sparse polynomials. (English) Zbl 1513.65024 Numer. Math., Theory Methods Appl. 15, No. 3, 793-818 (2022). MSC: 65D15 41A10 41A05 94A12 PDFBibTeX XMLCite \textit{A. Huang} et al., Numer. Math., Theory Methods Appl. 15, No. 3, 793--818 (2022; Zbl 1513.65024) Full Text: DOI
Qin, Yonghui; Chen, Yanping; Huang, Yunqing; Ma, Heping Multidomain Legendre-Galerkin least-squares method for linear differential equations with variable coefficients. (English) Zbl 1463.65326 Numer. Math., Theory Methods Appl. 13, No. 3, 665-688 (2020). MSC: 65M70 65N35 65M15 42C10 41A50 PDFBibTeX XMLCite \textit{Y. Qin} et al., Numer. Math., Theory Methods Appl. 13, No. 3, 665--688 (2020; Zbl 1463.65326) Full Text: DOI
Jia, Hongli; Yang, Yang; Wang, Zhongqing An \(hp\)-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1449.65274 Numer. Math., Theory Methods Appl. 12, No. 3, 969-994 (2019). MSC: 65M70 65M15 35R09 45K05 41A50 PDFBibTeX XMLCite \textit{H. Jia} et al., Numer. Math., Theory Methods Appl. 12, No. 3, 969--994 (2019; Zbl 1449.65274) 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
Ren, Yanmin; Yu, Xuhong; Wang, Zhongqing Diagonalized Chebyshev rational spectral methods for second-order elliptic problems on unbounded domains. (English) Zbl 1438.65307 Numer. Math., Theory Methods Appl. 12, No. 1, 265-284 (2019). MSC: 65N35 35J15 41A50 PDFBibTeX XMLCite \textit{Y. Ren} et al., Numer. Math., Theory Methods Appl. 12, No. 1, 265--284 (2019; Zbl 1438.65307) Full Text: DOI
Qian, Jiang; Wang, Fan; Lai, Yisheng; Guo, Qingjie On further study of bivariate polynomial interpolation over ortho-triples. (English) Zbl 1424.65008 Numer. Math., Theory Methods Appl. 11, No. 2, 247-271 (2018). MSC: 65D05 41A05 41A10 PDFBibTeX XMLCite \textit{J. Qian} et al., Numer. Math., Theory Methods Appl. 11, No. 2, 247--271 (2018; Zbl 1424.65008) Full Text: DOI
Feng, Renzhong; Song, Lifang Rational quasi-interpolation approximation of scattered data in \(\mathbb{R}^3\). (English) Zbl 1413.41001 Numer. Math., Theory Methods Appl. 11, No. 1, 169-186 (2018). MSC: 41A05 41A25 PDFBibTeX XMLCite \textit{R. Feng} and \textit{L. Song}, Numer. Math., Theory Methods Appl. 11, No. 1, 169--186 (2018; Zbl 1413.41001) Full Text: DOI
Xu, Guiqiao; Zhang, Zheng Simultaneous approximations of Sobolev classes by piecewise cubic Hermite interpolations. (English) Zbl 1324.41005 Numer. Math., Theory Methods Appl. 7, No. 3, 317-333 (2014). MSC: 41A05 41A28 PDFBibTeX XMLCite \textit{G. Xu} and \textit{Z. Zhang}, Numer. Math., Theory Methods Appl. 7, No. 3, 317--333 (2014; Zbl 1324.41005) Full Text: DOI
Da Fies, Gaspare; Vianello, Marco Product Gaussian quadrature on circular lunes. (English) Zbl 1324.65035 Numer. Math., Theory Methods Appl. 7, No. 2, 251-264 (2014). MSC: 65D32 41A55 65T40 PDFBibTeX XMLCite \textit{G. Da Fies} and \textit{M. Vianello}, Numer. Math., Theory Methods Appl. 7, No. 2, 251--264 (2014; Zbl 1324.65035) Full Text: DOI Link
Yu, Ran; Meng, Zhaoliang; Luo, Zhongxuan Simple fourth-degree cubature formulae with few nodes over general product regions. (English) Zbl 1324.65040 Numer. Math., Theory Methods Appl. 7, No. 2, 179-192 (2014). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{R. Yu} et al., Numer. Math., Theory Methods Appl. 7, No. 2, 179--192 (2014; Zbl 1324.65040) Full Text: DOI
Qian, Jiang; Wang, Fan On the approximation of the derivatives of spline quasi-interpolation in cubic spline space \({\mathcal S}_3^{1,2}(\Delta_{mn}^{(2)})\). (English) Zbl 1313.65020 Numer. Math., Theory Methods Appl. 7, No. 1, 1-22 (2014). MSC: 65D07 41A15 41A63 65D05 PDFBibTeX XMLCite \textit{J. Qian} and \textit{F. Wang}, Numer. Math., Theory Methods Appl. 7, No. 1, 1--22 (2014; Zbl 1313.65020) Full Text: DOI
Qian, Jiang; Wang, Renhong; Li, Chongjun The bases of the non-uniform cubic spline space \(S_3^{1,2}(\Delta_{mn}^{(2)})\). (English) Zbl 1289.65021 Numer. Math., Theory Methods Appl. 5, No. 4, 635-652 (2012). MSC: 65D07 41A15 41A63 PDFBibTeX XMLCite \textit{J. Qian} et al., Numer. Math., Theory Methods Appl. 5, No. 4, 635--652 (2012; Zbl 1289.65021) Full Text: DOI
Xu, Guiqiao The simultaneous approximation average errors for Bernstein operators on the \(r\)-fold integrated Wiener spaces. (English) Zbl 1274.41038 Numer. Math., Theory Methods Appl. 5, No. 3, 403-422 (2012). MSC: 41A28 41A35 PDFBibTeX XMLCite \textit{G. Xu}, Numer. Math., Theory Methods Appl. 5, No. 3, 403--422 (2012; Zbl 1274.41038) Full Text: DOI
Stanić, Marija P.; Cvetković, Aleksandar S. Orthogonal polynomials with respect to modified Jacobi weight and corresponding quadrature rules of Gaussian type. (English) Zbl 1265.33029 Numer. Math., Theory Methods Appl. 4, No. 4, 478-488 (2011). MSC: 33C47 41A55 65D30 PDFBibTeX XMLCite \textit{M. P. Stanić} and \textit{A. S. Cvetković}, Numer. Math., Theory Methods Appl. 4, No. 4, 478--488 (2011; Zbl 1265.33029) Full Text: DOI
Zhang, Jing; Wang, Lilian On spectral approximations by generalized Slepian functions. (English) Zbl 1249.41046 Numer. Math., Theory Methods Appl. 4, No. 2, 296-318 (2011). MSC: 41A30 33C47 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{L. Wang}, Numer. Math., Theory Methods Appl. 4, No. 2, 296--318 (2011; Zbl 1249.41046) Full Text: DOI
Sbibih, D.; Serghini, A.; Tijini, A. Bivariate simplex spline quasi-interpolants. (English) Zbl 1224.41010 Numer. Math., Theory Methods Appl. 3, No. 1, 97-118 (2010). MSC: 41A05 41A15 41A25 41A50 65D05 PDFBibTeX XMLCite \textit{D. Sbibih} et al., Numer. Math., Theory Methods Appl. 3, No. 1, 97--118 (2010; Zbl 1224.41010) Full Text: DOI
Li, Huiyuan; Sun, Jiachang; Xu, Yuan Cubature formulas and interpolation on the cubic domain. (English) Zbl 1212.41002 Numer. Math., Theory Methods Appl. 2, No. 2, 119-152 (2009). MSC: 41A05 41A10 PDFBibTeX XMLCite \textit{H. Li} et al., Numer. Math., Theory Methods Appl. 2, No. 2, 119--152 (2009; Zbl 1212.41002) Full Text: arXiv
Li, Jian; Liu, Yongping The Jackson inequality for the best \(L^2\)-approximation of functions on [0,1] with the weight \(x\). (English) Zbl 1174.41338 Numer. Math., Theory Methods Appl. 1, No. 3, 340-356 (2008). MSC: 41A50 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Liu}, Numer. Math., Theory Methods Appl. 1, No. 3, 340--356 (2008; Zbl 1174.41338)
Yang, Qingzhi; Zhao, Jinling Some remarks on the convex feasibility problem and best approximation problem. (English) Zbl 1174.90742 Numer. Math., Theory Methods Appl. 1, No. 1, 78-91 (2008). MSC: 90C25 41A50 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{J. Zhao}, Numer. Math., Theory Methods Appl. 1, No. 1, 78--91 (2008; Zbl 1174.90742)