Qu, Wei; Wang, Yanbo; Sun, Xiaoyun Matching pursuit with unbounded parameter domains. (English) Zbl 07796533 Adv. Comput. Math. 50, No. 1, Paper No. 1, 22 p. (2024). MSC: 30E10 30B99 41A20 30H10 46E22 PDFBibTeX XMLCite \textit{W. Qu} et al., Adv. Comput. Math. 50, No. 1, Paper No. 1, 22 p. (2024; Zbl 07796533) Full Text: DOI
Davydov, Oleg Error bounds for a least squares meshless finite difference method on closed manifolds. (English) Zbl 07723889 Adv. Comput. Math. 49, No. 4, Paper No. 48, 42 p. (2023). MSC: 65N06 65K10 65D12 65N12 65N15 35R01 PDFBibTeX XMLCite \textit{O. Davydov}, Adv. Comput. Math. 49, No. 4, Paper No. 48, 42 p. (2023; Zbl 07723889) Full Text: DOI arXiv
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam \({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. (English) Zbl 1502.65199 Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022). MSC: 65N30 65F55 78A25 35Q61 PDFBibTeX XMLCite \textit{M. Faustmann} et al., Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022; Zbl 1502.65199) Full Text: DOI arXiv
Congreve, Scott; Houston, Paul Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. (English) Zbl 1497.35226 Adv. Comput. Math. 48, No. 5, Paper No. 54, 31 p. (2022). MSC: 35J62 35J25 65N30 PDFBibTeX XMLCite \textit{S. Congreve} and \textit{P. Houston}, Adv. Comput. Math. 48, No. 5, Paper No. 54, 31 p. (2022; Zbl 1497.35226) Full Text: DOI arXiv
Schober, Kevin; Prestin, Jürgen; Stasyuk, Serhii A. Edge detection with trigonometric polynomial shearlets. (English) Zbl 1464.42032 Adv. Comput. Math. 47, No. 1, Paper No. 17, 41 p. (2021). MSC: 42C40 42C15 65T60 PDFBibTeX XMLCite \textit{K. Schober} et al., Adv. Comput. Math. 47, No. 1, Paper No. 17, 41 p. (2021; Zbl 1464.42032) Full Text: DOI arXiv
Grohs, Philipp; Kutyniok, Gitta; Ma, Jackie; Petersen, Philipp; Raslan, Mones Anisotropic multiscale systems on bounded domains. (English) Zbl 1442.42076 Adv. Comput. Math. 46, No. 2, Paper No. 39, 33 p. (2020). Reviewer: Yankui Sun (Beijing) MSC: 42C40 65M60 41A25 46E36 65T99 94A11 PDFBibTeX XMLCite \textit{P. Grohs} et al., Adv. Comput. Math. 46, No. 2, Paper No. 39, 33 p. (2020; Zbl 1442.42076) Full Text: DOI arXiv
Giani, Stefano An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. (English) Zbl 1436.65180 Adv. Comput. Math. 46, No. 2, Paper No. 13, 23 p. (2020). MSC: 65N30 65N50 35J15 35R05 PDFBibTeX XMLCite \textit{S. Giani}, Adv. Comput. Math. 46, No. 2, Paper No. 13, 23 p. (2020; Zbl 1436.65180) Full Text: DOI Link
Petersen, Philipp; Raslan, Mones Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces. (English) Zbl 1422.42049 Adv. Comput. Math. 45, No. 3, 1581-1606 (2019). Reviewer: Nikhil Khanna (New Delhi) MSC: 42C40 65M60 41A25 65T99 94A12 PDFBibTeX XMLCite \textit{P. Petersen} and \textit{M. Raslan}, Adv. Comput. Math. 45, No. 3, 1581--1606 (2019; Zbl 1422.42049) Full Text: DOI arXiv
Huang, Can; Wang, Li-Lian An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. (English) Zbl 1415.78011 Adv. Comput. Math. 45, No. 2, 707-734 (2019). MSC: 78M22 78A25 65N35 65N12 PDFBibTeX XMLCite \textit{C. Huang} and \textit{L.-L. Wang}, Adv. Comput. Math. 45, No. 2, 707--734 (2019; Zbl 1415.78011) Full Text: DOI arXiv
Lu, Hong; Bates, Peter W.; Chen, Wenping; Zhang, Mingji The spectral collocation method for efficiently solving PDEs with fractional Laplacian. (English) Zbl 1395.65106 Adv. Comput. Math. 44, No. 3, 861-878 (2018). MSC: 65M70 35S11 35R11 65N35 PDFBibTeX XMLCite \textit{H. Lu} et al., Adv. Comput. Math. 44, No. 3, 861--878 (2018; Zbl 1395.65106) Full Text: DOI
Gao, Wenwu; Wu, Zongmin Constructing radial kernels with higher-order generalized Strang-Fix conditions. (English) Zbl 1381.41001 Adv. Comput. Math. 43, No. 6, 1355-1375 (2017). MSC: 41A05 41A63 65D05 65D15 PDFBibTeX XMLCite \textit{W. Gao} and \textit{Z. Wu}, Adv. Comput. Math. 43, No. 6, 1355--1375 (2017; Zbl 1381.41001) Full Text: DOI
Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk; Zhang, Shun Complexity of oscillatory integrals on the real line. (English) Zbl 1376.65163 Adv. Comput. Math. 43, No. 3, 537-553 (2017). Reviewer: Yuri A. Farkov (Moscow) MSC: 65T40 65Y20 42B20 42A16 PDFBibTeX XMLCite \textit{E. Novak} et al., Adv. Comput. Math. 43, No. 3, 537--553 (2017; Zbl 1376.65163) Full Text: DOI arXiv
Zheng, Xiaoming; Lowengrub, John An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. (English) Zbl 1357.65271 Adv. Comput. Math. 42, No. 5, 1225-1257 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J25 35R05 76D07 76M10 65N12 92C17 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{J. Lowengrub}, Adv. Comput. Math. 42, No. 5, 1225--1257 (2016; Zbl 1357.65271) Full Text: DOI
Chernih, A.; Le Gia, Q. T. Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains. (English) Zbl 1355.41013 Adv. Comput. Math. 42, No. 5, 1187-1208 (2016). MSC: 41A30 65D15 33C90 PDFBibTeX XMLCite \textit{A. Chernih} and \textit{Q. T. Le Gia}, Adv. Comput. Math. 42, No. 5, 1187--1208 (2016; Zbl 1355.41013) Full Text: DOI arXiv
Tian, Xiaochuan; Du, Qiang; Gunzburger, Max Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. (English) Zbl 1356.65239 Adv. Comput. Math. 42, No. 6, 1363-1380 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35R11 35J05 65N12 PDFBibTeX XMLCite \textit{X. Tian} et al., Adv. Comput. Math. 42, No. 6, 1363--1380 (2016; Zbl 1356.65239) 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
Ivanov, Kamen; Petrushev, Pencho Fast memory efficient evaluation of spherical polynomials at scattered points. (English) Zbl 1308.65226 Adv. Comput. Math. 41, No. 1, 191-230 (2015). MSC: 65T99 42C10 33C55 65D32 41A55 PDFBibTeX XMLCite \textit{K. Ivanov} and \textit{P. Petrushev}, Adv. Comput. Math. 41, No. 1, 191--230 (2015; Zbl 1308.65226) Full Text: DOI
Shi, Lei; Huang, Xiaolin; Tian, Zheng; Suykens, Johan A. K. Quantile regression with \(\ell_1\)-regularization and Gaussian kernels. (English) Zbl 1302.62151 Adv. Comput. Math. 40, No. 2, 517-551 (2014). MSC: 62J02 60E15 68T05 PDFBibTeX XMLCite \textit{L. Shi} et al., Adv. Comput. Math. 40, No. 2, 517--551 (2014; Zbl 1302.62151) Full Text: DOI
Chernih, A.; Sloan, I. H.; Womersley, R. S. Wendland functions with increasing smoothness converge to a Gaussian. (English) Zbl 1298.41002 Adv. Comput. Math. 40, No. 1, 185-200 (2014). MSC: 41A05 41A15 41A30 41A63 65D07 PDFBibTeX XMLCite \textit{A. Chernih} et al., Adv. Comput. Math. 40, No. 1, 185--200 (2014; Zbl 1298.41002) Full Text: DOI arXiv
Arteaga, Cristian; Marrero, Isabel Direct form seminorms arising in the theory of interpolation by Hankel translates of a basis function. (English) Zbl 1311.46029 Adv. Comput. Math. 40, No. 1, 167-183 (2014). MSC: 46E35 41A05 44A35 46F12 PDFBibTeX XMLCite \textit{C. Arteaga} and \textit{I. Marrero}, Adv. Comput. Math. 40, No. 1, 167--183 (2014; Zbl 1311.46029) Full Text: DOI
Cochran, Doug; Gelb, Anne; Wang, Yang Edge detection from truncated Fourier data using spectral mollifiers. (English) Zbl 1273.42001 Adv. Comput. Math. 38, No. 4, 737-762 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 42A10 42A50 65T40 PDFBibTeX XMLCite \textit{D. Cochran} et al., Adv. Comput. Math. 38, No. 4, 737--762 (2013; Zbl 1273.42001) Full Text: DOI
Ward, John Paul \(L^p\) error estimates for approximation by Sobolev splines and Wendland functions on \(\mathbb R^d\). (English) Zbl 1267.41020 Adv. Comput. Math. 38, No. 4, 873-889 (2013). MSC: 41A30 41A25 42B10 PDFBibTeX XMLCite \textit{J. P. Ward}, Adv. Comput. Math. 38, No. 4, 873--889 (2013; Zbl 1267.41020) Full Text: DOI arXiv
Micchelli, Charles A.; Xu, Yuesheng; Yu, Bo On computing with the Hilbert spline transform. (English) Zbl 1268.41005 Adv. Comput. Math. 38, No. 3, 623-646 (2013). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 44A15 65D15 PDFBibTeX XMLCite \textit{C. A. Micchelli} et al., Adv. Comput. Math. 38, No. 3, 623--646 (2013; Zbl 1268.41005) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients. (English) Zbl 1254.65124 Adv. Comput. Math. 37, No. 4, 453-492 (2012). MSC: 65N15 65N30 41A30 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{U. Banerjee}, Adv. Comput. Math. 37, No. 4, 453--492 (2012; Zbl 1254.65124) Full Text: DOI
Sun, Qiyu; Unser, Michael Left-inverses of fractional Laplacian and sparse stochastic processes. (English) Zbl 1251.26006 Adv. Comput. Math. 36, No. 3, 399-441 (2012). MSC: 26A33 60G22 35R60 34K37 PDFBibTeX XMLCite \textit{Q. Sun} and \textit{M. Unser}, Adv. Comput. Math. 36, No. 3, 399--441 (2012; Zbl 1251.26006) Full Text: DOI arXiv
Anitescu, C.; Banerjee, U. Approximation properties of the generalized finite element method. (English) Zbl 1217.65207 Adv. Comput. Math. 34, No. 4, 369-390 (2011). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{C. Anitescu} and \textit{U. Banerjee}, Adv. Comput. Math. 34, No. 4, 369--390 (2011; Zbl 1217.65207) Full Text: DOI
Didenko, Victor; Yeo, Wee Ping The spectral radius of matrix continuous refinement operators. (English) Zbl 1213.41012 Adv. Comput. Math. 33, No. 1, 113-127 (2010). MSC: 41A30 47A10 42C40 47B38 41A63 PDFBibTeX XMLCite \textit{V. Didenko} and \textit{W. P. Yeo}, Adv. Comput. Math. 33, No. 1, 113--127 (2010; Zbl 1213.41012) Full Text: DOI
Sun, Qiyu Local reconstruction for sampling in shift-invariant spaces. (English) Zbl 1192.94079 Adv. Comput. Math. 32, No. 3, 335-352 (2010). MSC: 94A20 42C40 94A12 41A15 42A65 46E15 PDFBibTeX XMLCite \textit{Q. Sun}, Adv. Comput. Math. 32, No. 3, 335--352 (2010; Zbl 1192.94079) Full Text: DOI
Maiorov, Vitaly Geometric properties of the ridge function manifold. (English) Zbl 1188.41018 Adv. Comput. Math. 32, No. 2, 239-253 (2010). Reviewer: Richard A. Zalik (Auburn University) MSC: 41A46 41A30 20-04 54C70 PDFBibTeX XMLCite \textit{V. Maiorov}, Adv. Comput. Math. 32, No. 2, 239--253 (2010; Zbl 1188.41018) Full Text: DOI
Benedetto, John J.; Datta, Somantika Construction of infinite unimodular sequences with zero autocorrelation. (English) Zbl 1200.94009 Adv. Comput. Math. 32, No. 2, 191-207 (2010). Reviewer: Mehdi Hassani (Zanjan) MSC: 94A05 11K06 15B34 62M10 PDFBibTeX XMLCite \textit{J. J. Benedetto} and \textit{S. Datta}, Adv. Comput. Math. 32, No. 2, 191--207 (2010; Zbl 1200.94009) Full Text: DOI
Sun, Qiyu Frames in spaces with finite rate of innovation. (English) Zbl 1218.42015 Adv. Comput. Math. 28, No. 4, 301-329 (2008). MSC: 42C15 42C40 46E15 94A12 PDFBibTeX XMLCite \textit{Q. Sun}, Adv. Comput. Math. 28, No. 4, 301--329 (2008; Zbl 1218.42015) Full Text: DOI
Narcowich, Francis J.; Sun, Xinping; Ward, Joseph D. Approximation power of RBFs and their associated SBFs: a connection. (English) Zbl 1119.41011 Adv. Comput. Math. 27, No. 1, 107-124 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 41A25 41A05 41A63 42C10 PDFBibTeX XMLCite \textit{F. J. Narcowich} et al., Adv. Comput. Math. 27, No. 1, 107--124 (2007; Zbl 1119.41011) Full Text: DOI
Buhmann, M. D. Semi-infinite cardinal interpolation with multiquadrics and beyond. (English) Zbl 1101.65010 Adv. Comput. Math. 24, No. 1-4, 57-80 (2006). Reviewer: Aurelian Bejancu (Safat) MSC: 65D05 41A05 41A15 41A63 47A68 65D07 PDFBibTeX XMLCite \textit{M. D. Buhmann}, Adv. Comput. Math. 24, No. 1--4, 57--80 (2006; Zbl 1101.65010) Full Text: DOI
Ye, Peixin Computational complexity of the integration problem for anisotropic classes. (English) Zbl 1071.65030 Adv. Comput. Math. 23, No. 4, 375-392 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D32 65Y20 PDFBibTeX XMLCite \textit{P. Ye}, Adv. Comput. Math. 23, No. 4, 375--392 (2005; Zbl 1071.65030) Full Text: DOI
Höllig, Klaus; Apprich, Christian; Streit, Anja Introduction to the web-method and its applications. (English) Zbl 1070.65118 Adv. Comput. Math. 23, No. 1-2, 215-237 (2005). Reviewer: Jiři Horak (Köln) MSC: 65N30 41A15 74S05 35J05 74B05 74K20 35J25 PDFBibTeX XMLCite \textit{K. Höllig} et al., Adv. Comput. Math. 23, No. 1--2, 215--237 (2005; Zbl 1070.65118) Full Text: DOI
Chui, C. K.; Li, Xin; Mhaskar, H. N. Limitations of the approximation capabilities of neural networks with one hidden layer. (English) Zbl 0855.41026 Adv. Comput. Math. 5, No. 2-3, 233-243 (1996). MSC: 41A63 41A30 94C99 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Adv. Comput. Math. 5, No. 2--3, 233--243 (1996; Zbl 0855.41026) Full Text: DOI
Chui, C. K.; Stöckler, J.; Ward, J. D. Analytic wavelets generated by radial functions. (English) Zbl 0855.65145 Adv. Comput. Math. 5, No. 1, 95-123 (1996). Reviewer: G.Plonka (Rostock) MSC: 65T60 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Adv. Comput. Math. 5, No. 1, 95--123 (1996; Zbl 0855.65145) Full Text: DOI
Wu, Zongmin Compactly supported positive definite radial functions. (English) Zbl 0837.41016 Adv. Comput. Math. 4, No. 3, 283-292 (1995). Reviewer: H.T.Lau (Verdun/Quebec) MSC: 41A30 41A15 41A25 PDFBibTeX XMLCite \textit{Z. Wu}, Adv. Comput. Math. 4, No. 3, 283--292 (1995; Zbl 0837.41016) Full Text: DOI
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. (English) Zbl 0826.65093 Adv. Comput. Math. 1, No. 3-4, 259-335 (1993). MSC: 65N30 65N12 65N35 35S15 42C40 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Adv. Comput. Math. 1, No. 3--4, 259--335 (1993; Zbl 0826.65093) Full Text: DOI
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M. Wavelet compression and nonlinear \(n\)-widths. (English) Zbl 0824.65145 Adv. Comput. Math. 1, No. 2, 197-214 (1993). MSC: 65T40 42C05 PDFBibTeX XMLCite \textit{R. A. DeVore} et al., Adv. Comput. Math. 1, No. 2, 197--214 (1993; Zbl 0824.65145) Full Text: DOI
Dahmen, Wolfgang; Micchelli, Charles A. Continuous refinement equations and subdivision. (English) Zbl 0824.65144 Adv. Comput. Math. 1, No. 1, 1-37 (1993). MSC: 65T40 42C05 PDFBibTeX XMLCite \textit{W. Dahmen} and \textit{C. A. Micchelli}, Adv. Comput. Math. 1, No. 1, 1--37 (1993; Zbl 0824.65144) Full Text: DOI