Li, Xiao; Qiao, Zhonghua A second-order, linear, \(L^\infty\)-convergent, and energy stable scheme for the phase field crystal equation. (English) Zbl 07805927 SIAM J. Sci. Comput. 46, No. 1, A429-A451 (2024). MSC: 65N06 65J10 65M12 65M15 74N05 74E15 80A22 65T50 65L06 PDFBibTeX XMLCite \textit{X. Li} and \textit{Z. Qiao}, SIAM J. Sci. Comput. 46, No. 1, A429--A451 (2024; Zbl 07805927) Full Text: DOI
Li, Xiao; Qiao, Zhonghua; Wang, Cheng Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. (English) Zbl 07791017 Sci. China, Math. 67, No. 1, 187-210 (2024). MSC: 35Q35 65M70 65M06 65L06 65N35 65M12 65M15 35B20 PDFBibTeX XMLCite \textit{X. Li} et al., Sci. China, Math. 67, No. 1, 187--210 (2024; Zbl 07791017) Full Text: DOI arXiv
Dong, Yuzhuo; Li, Xiao; Qiao, Zhonghua; Zhang, Zhengru Stability and convergence analysis of the exponential time differencing scheme for a Cahn-Hilliard binary fluid-surfactant model. (English) Zbl 07710420 Appl. Numer. Math. 190, 321-343 (2023). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{Y. Dong} et al., Appl. Numer. Math. 190, 321--343 (2023; Zbl 07710420) Full Text: DOI
Li, Xiao; Qiao, Zhonghua; Wang, Cheng Stabilization parameter analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. (English) Zbl 07673883 IMA J. Numer. Anal. 43, No. 2, 1089-1114 (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{X. Li} et al., IMA J. Numer. Anal. 43, No. 2, 1089--1114 (2023; Zbl 07673883) Full Text: DOI
Jiang, Kun; Ju, Lili; Li, Jingwei; Li, Xiao Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects. (English) Zbl 07779673 Numer. Methods Partial Differ. Equations 38, No. 6, 1636-1657 (2022). MSC: 65M06 65N06 65L06 65N30 65M12 65M15 35B50 35B65 35Q53 PDFBibTeX XMLCite \textit{K. Jiang} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1636--1657 (2022; Zbl 07779673) Full Text: DOI arXiv
Ju, Lili; Li, Xiao; Qiao, Zhonghua Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. (English) Zbl 07572361 SIAM J. Numer. Anal. 60, No. 4, 1905-1931 (2022). MSC: 65-XX 35K55 65M12 65M15 65F30 PDFBibTeX XMLCite \textit{L. Ju} et al., SIAM J. Numer. Anal. 60, No. 4, 1905--1931 (2022; Zbl 07572361) Full Text: DOI arXiv
Ju, Lili; Li, Xiao; Qiao, Zhonghua Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. (English) Zbl 1492.65239 J. Sci. Comput. 92, No. 2, Paper No. 66, 34 p. (2022). MSC: 65M06 65M12 65M15 35K55 35K57 PDFBibTeX XMLCite \textit{L. Ju} et al., J. Sci. Comput. 92, No. 2, Paper No. 66, 34 p. (2022; Zbl 1492.65239) Full Text: DOI arXiv
Li, Xiao; Zhai, Jiayin; Shen, Zhijun Elastic Hugoniot curve of one-dimensional Wilkins model with general Grüneisen-type equation of state. (English) Zbl 07540370 J. Comput. Phys. 464, Article ID 111337, 9 p. (2022). MSC: 65Mxx 74Sxx 76Mxx PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 464, Article ID 111337, 9 p. (2022; Zbl 07540370) Full Text: DOI
Li, Xiao; Meng, Xiaoying; Xiong, Bo A fractional variational image denoising model with two-component regularization terms. (English) Zbl 1510.94020 Appl. Math. Comput. 427, Article ID 127178, 14 p. (2022). MSC: 94A08 68U10 65M55 65D18 65M12 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Comput. 427, Article ID 127178, 14 p. (2022; Zbl 1510.94020) Full Text: DOI
Li, Xiao; Zhai, Jiayin; Shen, Zhijun An HLLC-type approximate Riemann solver for two-dimensional elastic-perfectly plastic model. (English) Zbl 07516787 J. Comput. Phys. 448, Article ID 110675, 27 p. (2022). MSC: 76Mxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 448, Article ID 110675, 27 p. (2022; Zbl 07516787) Full Text: DOI
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Yang, Jiang Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. (English) Zbl 07512335 J. Comput. Phys. 439, Article ID 110405, 18 p. (2021). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{L. Ju} et al., J. Comput. Phys. 439, Article ID 110405, 18 p. (2021; Zbl 07512335) Full Text: DOI arXiv
Li, Xiao; Chen, Shixiang; Deng, Zengde; Qu, Qing; Zhu, Zhihui; So, Anthony Man-Cho Weakly convex optimization over Stiefel manifold using Riemannian subgradient-type methods. (English) Zbl 1505.65216 SIAM J. Optim. 31, No. 3, 1605-1634 (2021). MSC: 65K05 90C26 90C06 90C60 PDFBibTeX XMLCite \textit{X. Li} et al., SIAM J. Optim. 31, No. 3, 1605--1634 (2021; Zbl 1505.65216) Full Text: DOI arXiv
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. (English) Zbl 1486.65146 SIAM J. Sci. Comput. 43, No. 3, A1780-A1802 (2021). Reviewer: Zhiming Chen (Beijing) MSC: 65M20 65L06 65M12 35B50 35K58 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Sci. Comput. 43, No. 3, A1780--A1802 (2021; Zbl 1486.65146) Full Text: DOI arXiv
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes. (English) Zbl 1465.35081 SIAM Rev. 63, No. 2, 317-359 (2021). MSC: 35B50 35K58 65M12 65R20 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM Rev. 63, No. 2, 317--359 (2021; Zbl 1465.35081) Full Text: DOI arXiv
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. (English) Zbl 1460.65115 BIT 61, No. 1, 1-36 (2021). MSC: 65M55 65M12 65R20 65M06 35K58 65Y05 65M15 PDFBibTeX XMLCite \textit{X. Li} et al., BIT 61, No. 1, 1--36 (2021; Zbl 1460.65115) Full Text: DOI Link
Li, Xiao; Qiao, Zhonghua; Wang, Cheng Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. (English) Zbl 1475.65147 Math. Comput. 90, No. 327, 171-188 (2021). Reviewer: Zhiming Chen (Beijing) MSC: 65M70 65N35 65M06 65M12 65M15 35Q99 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Comput. 90, No. 327, 171--188 (2021; Zbl 1475.65147) Full Text: DOI arXiv
Zhang, Xuhao; Li, Xiao; Cheng, Aijie; Wang, Hong A preconditioned fast collocation method for a linear bond-based peridynamic model. (English) Zbl 1482.65057 Adv. Difference Equ. 2020, Paper No. 244, 15 p. (2020). MSC: 65F10 65F08 74S05 65N35 74A45 PDFBibTeX XMLCite \textit{X. Zhang} et al., Adv. Difference Equ. 2020, Paper No. 244, 15 p. (2020; Zbl 1482.65057) Full Text: DOI
Gao, Huadong; Ju, Lili; Li, Xiao; Duddu, Ravindra A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion. (English) Zbl 1453.65317 J. Comput. Phys. 406, Article ID 109191, 20 p. (2020). MSC: 65M60 65Z05 74S05 65M50 74E05 74M25 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Comput. Phys. 406, Article ID 109191, 20 p. (2020; Zbl 1453.65317) Full Text: DOI
Qu, Qing; Li, Xiao; Zhu, Zhihui Exact recovery of multichannel sparse blind deconvolution via gradient descent. (English) Zbl 1456.65043 SIAM J. Imaging Sci. 13, No. 3, 1630-1652 (2020). MSC: 94A12 65K05 65Y20 65D18 68U10 90C26 PDFBibTeX XMLCite \textit{Q. Qu} et al., SIAM J. Imaging Sci. 13, No. 3, 1630--1652 (2020; Zbl 1456.65043) Full Text: DOI
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René Nonconvex robust low-rank matrix recovery. (English) Zbl 07175265 SIAM J. Optim. 30, No. 1, 660-686 (2020). MSC: 65K10 90C26 68Q25 68W40 62B10 PDFBibTeX XMLCite \textit{X. Li} et al., SIAM J. Optim. 30, No. 1, 660--686 (2020; Zbl 07175265) Full Text: DOI arXiv
Li, Xiao; Ju, Lili; Meng, Xucheng Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. (English) Zbl 1483.65141 Commun. Comput. Phys. 26, No. 5, 1510-1529 (2019). MSC: 65M06 65N06 65L05 65L06 35K35 35K59 65M12 65M15 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Comput. Phys. 26, No. 5, 1510--1529 (2019; Zbl 1483.65141) Full Text: DOI
Wang, Chunyan; Li, Xiao; Xu, Xiaojie; Luan, Tian Numerical method for a kind of inverse scattering problem by medium. (Chinese. English summary) Zbl 1449.65230 J. Beihua Univ., Nat. Sci. 20, No. 6, 719-721 (2019). MSC: 65M32 74J25 78A46 62F15 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Beihua Univ., Nat. Sci. 20, No. 6, 719--721 (2019; Zbl 1449.65230)
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. (English) Zbl 1419.65018 SIAM J. Numer. Anal. 57, No. 2, 875-898 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M06 65M12 65M15 65R20 35Q99 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 57, No. 2, 875--898 (2019; Zbl 1419.65018) Full Text: DOI arXiv
Yang, Zhiqiang; Sun, Yi; Cui, Junzhi; Li, Xiao A multiscale algorithm for heat conduction-radiation problems in porous materials with quasi-periodic structures. (English) Zbl 1488.65479 Commun. Comput. Phys. 24, No. 1, 204-233 (2018). MSC: 65M60 35B27 35K20 35K57 45K05 74F10 80A19 PDFBibTeX XMLCite \textit{Z. Yang} et al., Commun. Comput. Phys. 24, No. 1, 204--233 (2018; Zbl 1488.65479) Full Text: DOI
Pryce, John D.; Nedialkov, Nedialko S.; Tan, Guangning; Li, Xiao How AD can help solve differential-algebraic equations. (English) Zbl 1409.65050 Optim. Methods Softw. 33, No. 4-6, 729-749 (2018). Reviewer: Phi Ha (Hanoi) MSC: 65L80 34A09 68W30 PDFBibTeX XMLCite \textit{J. D. Pryce} et al., Optim. Methods Softw. 33, No. 4--6, 729--749 (2018; Zbl 1409.65050) Full Text: DOI arXiv Link
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. (English) Zbl 1395.65099 J. Comput. Phys. 363, 39-54 (2018). MSC: 65M70 76G25 35R09 45K05 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Comput. Phys. 363, 39--54 (2018; Zbl 1395.65099) Full Text: DOI
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Zhang, Hui Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. (English) Zbl 1448.65182 Math. Comput. 87, No. 312, 1859-1885 (2018). MSC: 65M70 65M06 35Q35 47A56 65M12 76A20 76M22 35Q92 92C37 PDFBibTeX XMLCite \textit{L. Ju} et al., Math. Comput. 87, No. 312, 1859--1885 (2018; Zbl 1448.65182) Full Text: DOI Link
Li, Xiao; Qiao, Zhonghua; Zhang, Hui A second-order convex splitting scheme for a Cahn-Hilliard equation with variable interfacial parameters. (English) Zbl 1413.65326 J. Comput. Math. 35, No. 6, 693-710 (2017). MSC: 65M06 65M12 65Z05 35R60 35Q35 PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Math. 35, No. 6, 693--710 (2017; Zbl 1413.65326) Full Text: DOI Link
Luan, Tian; Li, Xiao Numerical method for penetrable obstcales scattering problems. (Chinese. English summary) Zbl 1399.65293 J. Jilin Univ., Sci. 55, No. 5, 1167-1169 (2017). MSC: 65M99 74J20 74S30 PDFBibTeX XMLCite \textit{T. Luan} and \textit{X. Li}, J. Jilin Univ., Sci. 55, No. 5, 1167--1169 (2017; Zbl 1399.65293) Full Text: DOI
Li, Xiao; Qiao, Zhonghua; Zhang, Hui Convergence of a fast explicit operator splitting method for the epitaxial growth model with slope selection. (English) Zbl 1368.35268 SIAM J. Numer. Anal. 55, No. 1, 265-285 (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q92 65M06 65M12 65M15 65Z05 PDFBibTeX XMLCite \textit{X. Li} et al., SIAM J. Numer. Anal. 55, No. 1, 265--285 (2017; Zbl 1368.35268) Full Text: DOI arXiv
Shen, Zhijun; Li, Xiao; Ren, Jian Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework. (English) Zbl 1367.76036 AMM, Appl. Math. Mech., Engl. Ed. 37, No. 11, 1571-1586 (2016). MSC: 76M12 65M06 76N99 PDFBibTeX XMLCite \textit{Z. Shen} et al., AMM, Appl. Math. Mech., Engl. Ed. 37, No. 11, 1571--1586 (2016; Zbl 1367.76036) Full Text: DOI
Qing, Huan; Li, Xiao; Ji, Guanghua; Zhang, Hui Comparison of two numerical schemes for the nonlinear term in the Cahn-Hilliard equation. (Chinese. English summary) Zbl 1363.65133 J. Numer. Methods Comput. Appl. 37, No. 2, 95-115 (2016). MSC: 65M06 65M70 35Q35 65M20 65M15 PDFBibTeX XMLCite \textit{H. Qing} et al., J. Numer. Methods Comput. Appl. 37, No. 2, 95--115 (2016; Zbl 1363.65133)
Li, Xiao; Qiao, ZhongHua; Zhang, Hui An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation. (English) Zbl 1355.65015 Sci. China, Math. 59, No. 9, 1815-1834 (2016). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65C30 65M06 65M12 60H15 35R60 60H35 35Q56 PDFBibTeX XMLCite \textit{X. Li} et al., Sci. China, Math. 59, No. 9, 1815--1834 (2016; Zbl 1355.65015) Full Text: DOI arXiv
Long, Lufan; Li, Xiao; Zhang, Hui The theoretical solution and numerical simulation of the linear part in one-dimension MBE equation. (Chinese. English summary) Zbl 1363.82008 J. Numer. Methods Comput. Appl. 36, No. 3, 225-240 (2015). MSC: 82D25 65N35 65N12 65Z05 PDFBibTeX XMLCite \textit{L. Long} et al., J. Numer. Methods Comput. Appl. 36, No. 3, 225--240 (2015; Zbl 1363.82008)
Li, Xiao; Wu, Yaohua; Tu, Dongsheng Jackknifed random weighting for Cox proportional hazards model. (English) Zbl 1238.62118 Sci. China, Math. 55, No. 4, 775-786 (2012). MSC: 62N02 62G09 65C05 62E20 62N01 PDFBibTeX XMLCite \textit{X. Li} et al., Sci. China, Math. 55, No. 4, 775--786 (2012; Zbl 1238.62118) Full Text: DOI
Li, Xiao; Chen, Jiahua; Wu, Yaohua; Tu, Dongsheng Constructing nonparametric likelihood confidence regions with high order precisions. (English) Zbl 1225.62045 Stat. Sin. 21, No. 4, 1767-1783 (2011). MSC: 62G05 62G15 65C60 PDFBibTeX XMLCite \textit{X. Li} et al., Stat. Sin. 21, No. 4, 1767--1783 (2011; Zbl 1225.62045) Full Text: DOI Link
Li, Xiao; Wu, Yaohua; Tu, Dongsheng Adjusted empirical likelihood in Cox proportional hazard model. (English) Zbl 1208.62055 J. Univ. Sci. Technol. China 39, No. 12, 1253-1259 (2009). MSC: 62G05 62G15 62N02 62P10 65C05 PDFBibTeX XMLCite \textit{X. Li} et al., J. Univ. Sci. Technol. China 39, No. 12, 1253--1259 (2009; Zbl 1208.62055)
Wang, Tianqi; Li, Liangyu; Li, Xiao; Yang, Xu The numerical simulation and control of microstructure in heat-affected zone in GMAW. (English) Zbl 1170.65303 Mod. Appl. Sci. 3, No. 5, 162-166 (2009). MSC: 65C05 PDFBibTeX XMLCite \textit{T. Wang} et al., Mod. Appl. Sci. 3, No. 5, 162--166 (2009; Zbl 1170.65303) Full Text: DOI
Papadakis, Manos; Bodmann, Bernhard G.; Alexander, Simon K.; Vela, Deborah; Baid, Shikha; Gittens, Alex A.; Kouri, Donald J.; Gertz, S. David; Jain, Saurabh; Romero, Juan R.; Li, Xiao; Cherukuri, Paul; Cody, Dianna D.; Gladish, Gregory W.; Aboshady, Ibrahim; Conyers, Jodie L.; Casscells, S. Ward Texture-based tissue characterization for high-resolution CT scans of coronary arteries. (English) Zbl 1165.92316 Commun. Numer. Methods Eng. 25, No. 6, 597-613 (2009). MSC: 92C55 65T60 PDFBibTeX XMLCite \textit{M. Papadakis} et al., Commun. Numer. Methods Eng. 25, No. 6, 597--613 (2009; Zbl 1165.92316) Full Text: DOI
Li, Xiao; Wu, Yaohua; Tu, Dongsheng A Bartlett type correction for Wald test in Cox regression model. (English) Zbl 1147.62386 Stat. Probab. Lett. 78, No. 16, 2614-2622 (2008). MSC: 62P10 62N03 65C60 62F03 92C50 65C05 PDFBibTeX XMLCite \textit{X. Li} et al., Stat. Probab. Lett. 78, No. 16, 2614--2622 (2008; Zbl 1147.62386) Full Text: DOI