Yang, Linyi; Zhang, Lei-Hong; Zhang, Ya-Nan The \(L_q\)-weighted dual programming of the linear Chebyshev approximation and an interior-point method. (English) Zbl 07909966 Adv. Comput. Math. 50, No. 4, Paper No. 80, 29 p. (2024). MSC: 97N50 33F05 68W25 90C51 97N30 PDFBibTeX XMLCite \textit{L. Yang} et al., Adv. Comput. Math. 50, No. 4, Paper No. 80, 29 p. (2024; Zbl 07909966) Full Text: DOI arXiv
Zhao, Mohan; Serkh, Kirill A continuation method for fitting a bandlimited curve to points in the plane. (English) Zbl 07909963 Adv. Comput. Math. 50, No. 4, Paper No. 74, 45 p. (2024). MSC: 65D10 65D18 68U05 PDFBibTeX XMLCite \textit{M. Zhao} and \textit{K. Serkh}, Adv. Comput. Math. 50, No. 4, Paper No. 74, 45 p. (2024; Zbl 07909963) Full Text: DOI arXiv
Zhang, H.; Rokhlin, V. Finding roots of complex analytic functions via generalized colleague matrices. (English) Zbl 07909960 Adv. Comput. Math. 50, No. 4, Paper No. 71, 40 p. (2024). MSC: 65F15 65F25 30B99 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{V. Rokhlin}, Adv. Comput. Math. 50, No. 4, Paper No. 71, 40 p. (2024; Zbl 07909960) Full Text: DOI arXiv
Strössner, Christoph; Sun, Bonan; Kressner, Daniel Approximation in the extended functional tensor train format. (English) Zbl 07896653 Adv. Comput. Math. 50, No. 3, Paper No. 54, 28 p. (2024). MSC: 65F55 65D05 PDFBibTeX XMLCite \textit{C. Strössner} et al., Adv. Comput. Math. 50, No. 3, Paper No. 54, 28 p. (2024; Zbl 07896653) Full Text: DOI arXiv OA License
Kang, Hongchao; Xu, Qi; Liu, Guidong Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators. (English) Zbl 07845585 Adv. Comput. Math. 50, No. 3, Paper No. 40, 27 p. (2024). MSC: 65D30 65D32 65R10 41A60 PDFBibTeX XMLCite \textit{H. Kang} et al., Adv. Comput. Math. 50, No. 3, Paper No. 40, 27 p. (2024; Zbl 07845585) Full Text: DOI
Miao, Cun-Qiang; Cheng, Lan On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems. (English) Zbl 07773317 Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023). MSC: 65F15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao} and \textit{L. Cheng}, Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023; Zbl 07773317) Full Text: DOI
Foucart, Simon Full recovery from point values: an optimal algorithm for Chebyshev approximability prior. (English) Zbl 1525.41001 Adv. Comput. Math. 49, No. 4, Paper No. 57, 14 p. (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 41A05 41A10 41A50 90C05 PDFBibTeX XMLCite \textit{S. Foucart}, Adv. Comput. Math. 49, No. 4, Paper No. 57, 14 p. (2023; Zbl 1525.41001) Full Text: DOI arXiv
Yang, Yuning; Feng, Yunlong Half-quadratic alternating direction method of multipliers for robust orthogonal tensor approximation. (English) Zbl 1518.90086 Adv. Comput. Math. 49, No. 2, Paper No. 24, 39 p. (2023). MSC: 90C26 90C17 15A69 41A50 65K05 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{Y. Feng}, Adv. Comput. Math. 49, No. 2, Paper No. 24, 39 p. (2023; Zbl 1518.90086) Full Text: DOI arXiv
Jiang, Yutong; Wu, Gang; Jiang, Long A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems. (English) Zbl 1515.65076 Adv. Comput. Math. 49, No. 2, Paper No. 20, 29 p. (2023). MSC: 65F10 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Comput. Math. 49, No. 2, Paper No. 20, 29 p. (2023; Zbl 1515.65076) Full Text: DOI
Saibaba, Arvind K.; Minster, Rachel; Kilmer, Misha E. Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions. (English) Zbl 1505.65184 Adv. Comput. Math. 48, No. 5, Paper No. 66, 39 p. (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Adv. Comput. Math. 48, No. 5, Paper No. 66, 39 p. (2022; Zbl 1505.65184) Full Text: DOI arXiv
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. (English) Zbl 1537.65124 Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022). MSC: 65M55 65M12 65M15 65M06 65N06 65F10 65F15 65F55 65H10 65L05 15B05 65Y05 PDFBibTeX XMLCite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 1537.65124) Full Text: DOI arXiv
Sukhorukova, Nadezda; Ugon, Julien A generalisation of de la Vallée-Poussin procedure to multivariate approximations. (English) Zbl 1482.41022 Adv. Comput. Math. 48, No. 1, Paper No. 5, 19 p. (2022). MSC: 41A63 41A10 PDFBibTeX XMLCite \textit{N. Sukhorukova} and \textit{J. Ugon}, Adv. Comput. Math. 48, No. 1, Paper No. 5, 19 p. (2022; Zbl 1482.41022) Full Text: DOI arXiv
Liang, Zhao-Zheng; Zhang, Guo-Feng Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems. (English) Zbl 07400549 Adv. Comput. Math. 47, No. 5, Paper No. 67, 38 p. (2021). MSC: 65F10 65F50 65F15 65N22 65N30 49K20 PDFBibTeX XMLCite \textit{Z.-Z. Liang} and \textit{G.-F. Zhang}, Adv. Comput. Math. 47, No. 5, Paper No. 67, 38 p. (2021; Zbl 07400549) Full Text: DOI
Wang, Haiyong; Zhang, Lun Analysis of multivariate Gegenbauer approximation in the hypercube. (English) Zbl 1441.41002 Adv. Comput. Math. 46, No. 4, Paper No. 53, 29 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A25 41A63 PDFBibTeX XMLCite \textit{H. Wang} and \textit{L. Zhang}, Adv. Comput. Math. 46, No. 4, Paper No. 53, 29 p. (2020; Zbl 1441.41002) Full Text: DOI arXiv
Bremer, James An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. (English) Zbl 1418.65037 Adv. Comput. Math. 45, No. 1, 173-211 (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 65D20 33C10 33F05 33F10 65L99 34E05 PDFBibTeX XMLCite \textit{J. Bremer}, Adv. Comput. Math. 45, No. 1, 173--211 (2019; Zbl 1418.65037) Full Text: DOI arXiv
Iacono, Roberto; Boyd, John P. New approximations to the principal real-valued branch of the Lambert \(W\)-function. (English) Zbl 1381.33020 Adv. Comput. Math. 43, No. 6, 1403-1436 (2017). MSC: 33C70 41A50 65D20 PDFBibTeX XMLCite \textit{R. Iacono} and \textit{J. P. Boyd}, Adv. Comput. Math. 43, No. 6, 1403--1436 (2017; Zbl 1381.33020) Full Text: DOI
Teng, Zhongming; Zhou, Yunkai; Li, Ren-Cang A block Chebyshev-Davidson method for linear response eigenvalue problems. (English) Zbl 1357.65046 Adv. Comput. Math. 42, No. 5, 1103-1128 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Teng} et al., Adv. Comput. Math. 42, No. 5, 1103--1128 (2016; Zbl 1357.65046) Full Text: DOI
Zhu, Wei Simulation of liquid crystal elastomers using Chebyshev spectral method with a new preconditioner. (English) Zbl 1328.74030 Adv. Comput. Math. 41, No. 4, 853-879 (2015). MSC: 74E15 74S25 65F08 PDFBibTeX XMLCite \textit{W. Zhu}, Adv. Comput. Math. 41, No. 4, 853--879 (2015; Zbl 1328.74030) Full Text: DOI
Xiang, Shuhuang; He, Guo; Cho, Yeol Je On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. (English) Zbl 1320.65043 Adv. Comput. Math. 41, No. 3, 573-597 (2015). Reviewer: Denis Sidorov (Irkutsk) MSC: 65D32 41A55 65T40 42A16 PDFBibTeX XMLCite \textit{S. Xiang} et al., Adv. Comput. Math. 41, No. 3, 573--597 (2015; Zbl 1320.65043) Full Text: DOI
Kvasov, Boris I. Monotone and convex interpolation by weighted quadratic splines. (English) Zbl 1298.41012 Adv. Comput. Math. 40, No. 1, 91-116 (2014). MSC: 41A15 41A50 65D07 PDFBibTeX XMLCite \textit{B. I. Kvasov}, Adv. Comput. Math. 40, No. 1, 91--116 (2014; Zbl 1298.41012) Full Text: DOI
Wang, Chuan-Long; Meng, Guo-Yan; Bai, Yan-Hong Practical convergent splittings and acceleration methods for non-Hermitian positive definite linear systems. (English) Zbl 1277.65023 Adv. Comput. Math. 39, No. 2, 257-271 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 PDFBibTeX XMLCite \textit{C.-L. Wang} et al., Adv. Comput. Math. 39, No. 2, 257--271 (2013; Zbl 1277.65023) Full Text: DOI
Bosner, Tina; Rogina, Mladen Variable degree polynomial splines are Chebyshev splines. (English) Zbl 1268.41022 Adv. Comput. Math. 38, No. 2, 383-400 (2013). Reviewer: Allan Pinkus (Haifa) MSC: 41A50 65D07 65D17 PDFBibTeX XMLCite \textit{T. Bosner} and \textit{M. Rogina}, Adv. Comput. Math. 38, No. 2, 383--400 (2013; Zbl 1268.41022) Full Text: DOI
Wu, Zongmin; Sun, Xingping; Ma, Limin Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates. (English) Zbl 1268.41004 Adv. Comput. Math. 38, No. 1, 187-205 (2013). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 41A10 41A25 41A36 PDFBibTeX XMLCite \textit{Z. Wu} et al., Adv. Comput. Math. 38, No. 1, 187--205 (2013; Zbl 1268.41004) Full Text: DOI
Shih, Shagi-Di; Chow, Shue-Sum Equivalence of \(n\)-point Gauss-Chebyshev rule and \(4n\)-point midpoint rule in computing the period of a Lotka-Volterra system. (English) Zbl 1130.41010 Adv. Comput. Math. 28, No. 1, 63-79 (2008). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A55 34A34 33E30 92D25 34C15 PDFBibTeX XMLCite \textit{S.-D. Shih} and \textit{S.-S. Chow}, Adv. Comput. Math. 28, No. 1, 63--79 (2008; Zbl 1130.41010) Full Text: DOI
Mazure, Marie-Laurence Pseudoaffinity, de Boor algorithm, and blossoms. (English) Zbl 1122.65019 Adv. Comput. Math. 26, No. 1-3, 305-322 (2007). Reviewer: Ljubiša Kocić (Niš) MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{M.-L. Mazure}, Adv. Comput. Math. 26, No. 1--3, 305--322 (2007; Zbl 1122.65019) Full Text: DOI
Maiorov, V. Pseudo-dimension and entropy of manifolds formed by affine-invariant dictionary. (English) Zbl 1100.68094 Adv. Comput. Math. 25, No. 4, 435-450 (2006). MSC: 68T05 41A46 41A50 PDFBibTeX XMLCite \textit{V. Maiorov}, Adv. Comput. Math. 25, No. 4, 435--450 (2006; Zbl 1100.68094) Full Text: DOI
Lyche, Tom; Mazure, Marie-Laurence Total positivity and the existence of piecewise exponential B-splines. (English) Zbl 1175.41007 Adv. Comput. Math. 25, No. 1-3, 105-133 (2006). MSC: 41A15 41A50 65D07 PDFBibTeX XMLCite \textit{T. Lyche} and \textit{M.-L. Mazure}, Adv. Comput. Math. 25, No. 1--3, 105--133 (2006; Zbl 1175.41007) Full Text: DOI
Capobianco, M. R.; Themistoclakis, W. Interpolating polynomial wavelets on \([-1,1]\). (English) Zbl 1071.65192 Adv. Comput. Math. 23, No. 4, 353-374 (2005). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65T60 65D05 PDFBibTeX XMLCite \textit{M. R. Capobianco} and \textit{W. Themistoclakis}, Adv. Comput. Math. 23, No. 4, 353--374 (2005; Zbl 1071.65192) Full Text: DOI
Mazure, Marie-Laurence Blossoms and optimal bases. (English) Zbl 1042.65016 Adv. Comput. Math. 20, No. 1-3, 177-203 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{M.-L. Mazure}, Adv. Comput. Math. 20, No. 1--3, 177--203 (2004; Zbl 1042.65016) Full Text: DOI
Temlyakov, V. N. Greedy algorithms in Banach spaces. (English) Zbl 0988.41022 Adv. Comput. Math. 14, No. 3, 277-292 (2001). Reviewer: Saulius Norvidas (Vilnius) MSC: 41A65 41A30 46N40 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, Adv. Comput. Math. 14, No. 3, 277--292 (2001; Zbl 0988.41022) Full Text: DOI
Mazure, Marie-Laurence Chebyshev splines beyond total positivity. (English) Zbl 0971.41006 Adv. Comput. Math. 14, No. 2, 129-156 (2001). Reviewer: E.Deeba (Houston) MSC: 41A15 PDFBibTeX XMLCite \textit{M.-L. Mazure}, Adv. Comput. Math. 14, No. 2, 129--156 (2001; Zbl 0971.41006) Full Text: DOI
Barthelmann, Volker; Novak, Erich; Ritter, Klaus High dimensional polynomial interpolation on sparse grids. (English) Zbl 0944.41001 Adv. Comput. Math. 12, No. 4, 273-288 (2000). Reviewer: K.Najzar (Praha) MSC: 41A05 41A63 65D05 41A25 PDFBibTeX XMLCite \textit{V. Barthelmann} et al., Adv. Comput. Math. 12, No. 4, 273--288 (2000; Zbl 0944.41001) Full Text: DOI
Mazure, Marie-Laurence Chebyshev spaces with polynomial blossoms. (English) Zbl 0933.65016 Adv. Comput. Math. 10, No. 3-4, 219-238 (1999). Reviewer: M.Gaşpar (Iaşi) MSC: 65D17 PDFBibTeX XMLCite \textit{M.-L. Mazure}, Adv. Comput. Math. 10, No. 3--4, 219--238 (1999; Zbl 0933.65016) Full Text: DOI
Mason, J. C.; Venturino, E. A Chebyshev polynomial method for line integrals with singularities. (English) Zbl 0923.65007 Adv. Comput. Math. 10, No. 2, 187-208 (1999). Reviewer: A.C.Genz (Pullman) MSC: 65D32 65N38 35J05 41A55 30E20 PDFBibTeX XMLCite \textit{J. C. Mason} and \textit{E. Venturino}, Adv. Comput. Math. 10, No. 2, 187--208 (1999; Zbl 0923.65007) Full Text: DOI
Cope, Davis K. Recursive generation of the Galerkin-Chebyshev matrix for convolution kernels. (English) Zbl 0922.65095 Adv. Comput. Math. 9, No. 1-2, 21-35 (1998). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{D. K. Cope}, Adv. Comput. Math. 9, No. 1--2, 21--35 (1998; Zbl 0922.65095) Full Text: DOI
Mazure, Marie-Laurence Vandermonde type determinants and blossoming. (English) Zbl 0906.65014 Adv. Comput. Math. 8, No. 4, 291-315 (1998). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D17 41A50 41A15 PDFBibTeX XMLCite \textit{M.-L. Mazure}, Adv. Comput. Math. 8, No. 4, 291--315 (1998; Zbl 0906.65014) Full Text: DOI
Nees, Manuela Chebyshev approximation by discrete superposition. Application to neural networks. (English) Zbl 0860.65007 Adv. Comput. Math. 5, No. 2-3, 137-151 (1996). Reviewer: A.López-Carmona (Granada) MSC: 65D15 41A50 PDFBibTeX XMLCite \textit{M. Nees}, Adv. Comput. Math. 5, No. 2--3, 137--151 (1996; Zbl 0860.65007) Full Text: DOI
Plonka, Gerlind; Selig, Kathi; Tasche, Manfred On the construction of wavelets on a bounded interval. (English) Zbl 0838.65140 Adv. Comput. Math. 4, No. 4, 357-388 (1995). Reviewer: G.Steidl (Darmstadt) MSC: 65T60 42C40 65T50 PDFBibTeX XMLCite \textit{G. Plonka} et al., Adv. Comput. Math. 4, No. 4, 357--388 (1995; Zbl 0838.65140) Full Text: DOI
Maroni, P. An introduction to second degree forms. (English) Zbl 0837.42009 Adv. Comput. Math. 3, No. 1-2, 59-88 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{P. Maroni}, Adv. Comput. Math. 3, No. 1--2, 59--88 (1995; Zbl 0837.42009) Full Text: DOI
Venturino, Ezio A lacunary interpolation algorithm on arbitrary points. (English) Zbl 0832.41005 Adv. Comput. Math. 2, No. 2, 223-233 (1994). Reviewer: A.Sharma (Edmonton) MSC: 41A05 PDFBibTeX XMLCite \textit{E. Venturino}, Adv. Comput. Math. 2, No. 2, 223--233 (1994; Zbl 0832.41005) Full Text: DOI
Williams, Jack; Kalogiratou, Z. Least squares and Chebyshev fitting for parameter estimation in ODEs. (English) Zbl 0826.65064 Adv. Comput. Math. 1, No. 3-4, 357-366 (1993). MSC: 65L05 65D10 65L60 34A34 34A55 PDFBibTeX XMLCite \textit{J. Williams} and \textit{Z. Kalogiratou}, Adv. Comput. Math. 1, No. 3--4, 357--366 (1993; Zbl 0826.65064) Full Text: DOI
Cliffe, K. A.; Garratt, T. J.; Spence, A. Eigenvalues of the discretized Navier-Stokes equation with application to the detection of Hopf bifurcations. (English) Zbl 0830.76048 Adv. Comput. Math. 1, No. 3-4, 337-356 (1993). MSC: 76M10 76D05 65F15 65F50 PDFBibTeX XMLCite \textit{K. A. Cliffe} et al., Adv. Comput. Math. 1, No. 3--4, 337--356 (1993; Zbl 0830.76048) Full Text: DOI EuDML