Chen, Yun; Lu, Yao; Ma, Xiangyuan; Xu, Yuesheng A content-adaptive unstructured grid based regularized CT reconstruction method with a SART-type preconditioned fixed-point proximity algorithm. (English) Zbl 1482.94014 Inverse Probl. 38, No. 3, Article ID 035005, 27 p. (2022). MSC: 94A08 92C55 68U10 PDFBibTeX XMLCite \textit{Y. Chen} et al., Inverse Probl. 38, No. 3, Article ID 035005, 27 p. (2022; Zbl 1482.94014) Full Text: DOI
Wang, Rui; Xu, Yuesheng Regularization in a functional reproducing kernel Hilbert space. (English) Zbl 07390177 J. Complexity 66, Article ID 101567, 23 p. (2021). MSC: 47-XX PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Xu}, J. Complexity 66, Article ID 101567, 23 p. (2021; Zbl 07390177) Full Text: DOI
Guan, Wenchao; Jiang, Ying; Xu, Yuesheng Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation. (English) Zbl 1456.35094 J. Integral Equations Appl. 32, No. 3, 293-324 (2020). MSC: 35J05 65N30 PDFBibTeX XMLCite \textit{W. Guan} et al., J. Integral Equations Appl. 32, No. 3, 293--324 (2020; Zbl 1456.35094) Full Text: DOI Euclid Link
Chen, Yun; Huang, Jiasheng; Li, Si; Lu, Yao; Xu, Yuesheng A content-adaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction. (English) Zbl 1431.94008 Inverse Probl. Imaging 14, No. 1, 27-52 (2020). MSC: 94A08 65R20 65F22 PDFBibTeX XMLCite \textit{Y. Chen} et al., Inverse Probl. Imaging 14, No. 1, 27--52 (2020; Zbl 1431.94008) Full Text: DOI
Jiang, Ying; Wang, Bo; Xu, Yuesheng A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation. (English) Zbl 1401.31011 J. Sci. Comput. 76, No. 3, 1594-1632 (2018). MSC: 31A30 31A25 65N30 PDFBibTeX XMLCite \textit{Y. Jiang} et al., J. Sci. Comput. 76, No. 3, 1594--1632 (2018; Zbl 1401.31011) Full Text: DOI
Brunner, Hermann; Ma, Yunyun; Xu, Yuesheng The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels. (English) Zbl 1381.45009 J. Integral Equations Appl. 27, No. 4, 455-487 (2015). MSC: 45D05 45H05 45J05 PDFBibTeX XMLCite \textit{H. Brunner} et al., J. Integral Equations Appl. 27, No. 4, 455--487 (2015; Zbl 1381.45009) Full Text: DOI Euclid
Jiang, Ying; Xu, Yuesheng Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids. (English) Zbl 1312.65233 Math. Comput. 83, No. 289, 2347-2384 (2014). Reviewer: S. F. Lukomskii (Saratov) MSC: 65T50 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{Y. Xu}, Math. Comput. 83, No. 289, 2347--2384 (2014; Zbl 1312.65233) Full Text: DOI
Chen, Xiangling; Wang, Rui; Xu, Yuesheng Fast Fourier-Galerkin methods for nonlinear boundary integral equations. (English) Zbl 1278.65187 J. Sci. Comput. 56, No. 3, 494-514 (2013). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65N38 35J65 65N12 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Sci. Comput. 56, No. 3, 494--514 (2013; Zbl 1278.65187) Full Text: DOI
Chen, Xiangling; Chen, Zhongying; Wu, Bin; Xu, Yuesheng Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations. (English) Zbl 1271.65145 J. Integral Equations Appl. 24, No. 4, 545-574 (2012). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N15 35J05 35J65 65Y20 65N12 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Integral Equations Appl. 24, No. 4, 545--574 (2012; Zbl 1271.65145) Full Text: DOI Euclid
Qian, Tao; Wang, Rui; Xu, Yuesheng; Zhang, Haizhang Orthonormal bases with nonlinear phases. (English) Zbl 1213.42126 Adv. Comput. Math. 33, No. 1, 75-95 (2010). MSC: 42C30 94A12 PDFBibTeX XMLCite \textit{T. Qian} et al., Adv. Comput. Math. 33, No. 1, 75--95 (2010; Zbl 1213.42126) Full Text: DOI
Jiang, Ying; Xu, Yuesheng Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition. (English) Zbl 1193.65206 J. Comput. Appl. Math. 234, No. 9, 2792-2807 (2010). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N38 65N30 65N12 65F08 35J25 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{Y. Xu}, J. Comput. Appl. Math. 234, No. 9, 2792--2807 (2010; Zbl 1193.65206) Full Text: DOI
Wang, Bo; Wang, Rui; Xu, Yuesheng Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs. (English) Zbl 1193.65232 Sci. China, Math. 53, No. 1, 1-22 (2010). Reviewer: Johannes Elschner (Berlin) MSC: 65R20 45E10 35J05 65N38 65F08 65Y20 PDFBibTeX XMLCite \textit{B. Wang} et al., Sci. China, Math. 53, No. 1, 1--22 (2010; Zbl 1193.65232) Full Text: DOI
Jiang, Ying; Xu, Yuesheng Fast discrete algorithms for sparse Fourier expansions of high dimensional functions. (English) Zbl 1184.65124 J. Complexity 26, No. 1, 51-81 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42B05 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{Y. Xu}, J. Complexity 26, No. 1, 51--81 (2010; Zbl 1184.65124) Full Text: DOI
Chen, Zhongying; Nelakanti, Gnaneshwar; Xu, Yuesheng; Zhang, Yongdong A fast collocation method for eigen-problems of weakly singular integral operators. (English) Zbl 1203.65284 J. Sci. Comput. 41, No. 2, 256-272 (2009). MSC: 65R20 45C05 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Sci. Comput. 41, No. 2, 256--272 (2009; Zbl 1203.65284) Full Text: DOI
Brenner, Marty; Jiang, Ying; Xu, Yuesheng Multiparameter regularization for Volterra kernel identification via multiscale collocation methods. (English) Zbl 1190.65200 Adv. Comput. Math. 31, No. 4, 421-455 (2009). Reviewer: Josef Kofroň (Praha) MSC: 65R32 65R20 47A52 45D05 45Q05 65R30 PDFBibTeX XMLCite \textit{M. Brenner} et al., Adv. Comput. Math. 31, No. 4, 421--455 (2009; Zbl 1190.65200) Full Text: DOI
Liu, Song-Tao; Xu, Yuesheng Graded Galerkin methods for the high-order convection-diffusion problem. (English) Zbl 1180.65093 Numer. Methods Partial Differ. Equations 25, No. 6, 1261-1282 (2009). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 PDFBibTeX XMLCite \textit{S.-T. Liu} and \textit{Y. Xu}, Numer. Methods Partial Differ. Equations 25, No. 6, 1261--1282 (2009; Zbl 1180.65093) Full Text: DOI
Qian, Tao; Xu, Yuesheng; Yan, Dunyan; Yan, Lixin; Yu, Bo Fourier spectrum characterization of Hardy spaces and applications. (English) Zbl 1169.42003 Proc. Am. Math. Soc. 137, No. 3, 971-980 (2009). Reviewer: D. K. Ugulawa (Tbilisi) MSC: 42A38 PDFBibTeX XMLCite \textit{T. Qian} et al., Proc. Am. Math. Soc. 137, No. 3, 971--980 (2009; Zbl 1169.42003) Full Text: DOI
Chen, Zhongying; Wu, Bin; Xu, Yuesheng Fast collocation methods for high-dimensional weakly singular integral equations. (English) Zbl 1144.65084 J. Integral Equations Appl. 20, No. 1, 49-92 (2008). Reviewer: Gunther Schmidt (Berlin) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Integral Equations Appl. 20, No. 1, 49--92 (2008; Zbl 1144.65084) Full Text: DOI
Cao, Yanzhao; Huang, Min; Liu, Liping; Xu, Yuesheng Hybrid collocation methods for Fredholm integral equations with weakly singular kernels. (English) Zbl 1119.65122 Appl. Numer. Math. 57, No. 5-7, 549-561 (2007). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 45E10 45J05 PDFBibTeX XMLCite \textit{Y. Cao} et al., Appl. Numer. Math. 57, No. 5--7, 549--561 (2007; Zbl 1119.65122) Full Text: DOI
Chen, Zhongying; Wu, Bin; Xu, Yuesheng Multilevel augmentation methods for differential equations. (English) Zbl 1123.65075 Adv. Comput. Math. 24, No. 1-4, 213-238 (2006). MSC: 65L10 34B05 65L20 65L60 PDFBibTeX XMLCite \textit{Z. Chen} et al., Adv. Comput. Math. 24, No. 1--4, 213--238 (2006; Zbl 1123.65075) Full Text: DOI
Wang, Yi; Xu, Yuesheng A fast wavelet collocation method for integral equations on polygons. (English) Zbl 1104.65132 J. Integral Equations Appl. 17, No. 3, 277-330 (2005). Reviewer: Zhang Wanguo (Shanghai) MSC: 65R20 65T60 45E10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Xu}, J. Integral Equations Appl. 17, No. 3, 277--330 (2005; Zbl 1104.65132) Full Text: DOI
Kaneko, H.; Padilla, P.; Xu, Y. Superconvergence of the iterated degenerate kernel method. (English) Zbl 1020.65099 Appl. Anal. 80, No. 3-4, 331-351 (2001). MSC: 65R20 45B05 45G10 PDFBibTeX XMLCite \textit{H. Kaneko} et al., Appl. Anal. 80, No. 3--4, 331--351 (2001; Zbl 1020.65099) Full Text: DOI
Ford, William F.; Pennline, James A.; Xu, Yuesheng; Zhao, Yunhe Asymptotic error analysis of a quadrature method for integral equations with Green’s function kernels. (English) Zbl 0978.65126 J. Integral Equations Appl. 12, No. 4, 349-384 (2000). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45E10 65N38 PDFBibTeX XMLCite \textit{W. F. Ford} et al., J. Integral Equations Appl. 12, No. 4, 349--384 (2000; Zbl 0978.65126) Full Text: DOI Link
Xu, Yuesheng; Zhao, Yunhe Quadratures for boundary integral equations of the first kind with logarithmic kernels. (English) Zbl 0888.65122 J. Integral Equations Appl. 8, No. 2, 239-268 (1996). Reviewer: O.Titow (Berlin) MSC: 65N38 65R20 35J05 45E10 65N12 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Y. Zhao}, J. Integral Equations Appl. 8, No. 2, 239--268 (1996; Zbl 0888.65122) Full Text: DOI
Cao, Yanzhao; Xu, Yuesheng Singularity preserving Galerkin methods for weakly singular Fredholm integral equations. (English) Zbl 0819.65139 J. Integral Equations Appl. 6, No. 3, 303-334 (1994). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{Y. Xu}, J. Integral Equations Appl. 6, No. 3, 303--334 (1994; Zbl 0819.65139) Full Text: DOI
Kaneko, Hideaki; Noren, Richard; Xu, Yuesheng A characterization of the solution of a Fredholm integral equation with \(L^ \infty\) forcing term. (English) Zbl 0755.45001 J. Integral Equations Appl. 2, No. 4, 581-594 (1990). Reviewer: E.Deeba (Houston) MSC: 45E10 PDFBibTeX XMLCite \textit{H. Kaneko} et al., J. Integral Equations Appl. 2, No. 4, 581--594 (1990; Zbl 0755.45001) Full Text: DOI