Du, Qiang; Li, Huaiyu; Weinstein, Michael; Zhang, Lu Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array. arXiv:2305.00072 Preprint, arXiv:2305.00072 [math.NA] (2023). MSC: 65M12 65M60 35L40 35C07 78A40 BibTeX Cite \textit{Q. Du} et al., ``Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array'', Preprint, arXiv:2305.00072 [math.NA] (2023) Full Text: arXiv OA License
Yu, Xiaoxuan; Xu, Yan; Du, Qiang Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon. (English) Zbl 07779686 Numer. Methods Partial Differ. Equations 38, No. 6, 1948-1966 (2022). MSC: 65M60 65M06 65N30 65M12 41A58 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1948--1966 (2022; Zbl 07779686) Full Text: DOI
Lee, Hwi; Du, Qiang Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems. (English) Zbl 1499.34142 Commun. Math. Sci. 20, No. 7, 1815-1837 (2022). MSC: 34B10 35A01 35B40 45A05 60K50 65N12 74A70 PDFBibTeX XMLCite \textit{H. Lee} and \textit{Q. Du}, Commun. Math. Sci. 20, No. 7, 1815--1837 (2022; Zbl 1499.34142) Full Text: DOI arXiv
Du, Qiang; Xie, Hehu; Yin, Xiaobo On the convergence to local limit of nonlocal models with approximated interaction neighborhoods. (English) Zbl 1497.45015 SIAM J. Numer. Anal. 60, No. 4, 2046-2068 (2022). Reviewer: Eduardo Cuesta (Valladolid) MSC: 45L05 45P05 46N20 65R20 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 60, No. 4, 2046--2068 (2022; Zbl 1497.45015) Full Text: DOI arXiv
Du, Qiang; Gu, Yiqi; Yang, Haizhao; Zhou, Chao The discovery of dynamics via linear multistep methods and deep learning: error estimation. (English) Zbl 1506.65105 SIAM J. Numer. Anal. 60, No. 4, 2014-2045 (2022). MSC: 65L06 65L09 65L20 68T07 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 60, No. 4, 2014--2045 (2022; Zbl 1506.65105) 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
Gu, Ran; Du, Qiang A modified limited memory steepest descent method motivated by an inexact super-linear convergence rate analysis. (English) Zbl 1460.65078 IMA J. Numer. Anal. 41, No. 1, 247-270 (2021). MSC: 65K10 90C20 PDFBibTeX XMLCite \textit{R. Gu} and \textit{Q. Du}, IMA J. Numer. Anal. 41, No. 1, 247--270 (2021; Zbl 1460.65078) Full Text: DOI
Keller, Rachael T.; Du, Qiang Discovery of dynamics using linear multistep methods. (English) Zbl 1466.65050 SIAM J. Numer. Anal. 59, No. 1, 429-455 (2021). MSC: 65L06 65L09 65L20 68T99 PDFBibTeX XMLCite \textit{R. T. Keller} and \textit{Q. Du}, SIAM J. Numer. Anal. 59, No. 1, 429--455 (2021; Zbl 1466.65050) Full Text: DOI arXiv
Du, Qiang; Tian, Xiaochuan Mathematics of smoothed particle hydrodynamics: a study via nonlocal Stokes equations. (English) Zbl 1448.76112 Found. Comput. Math. 20, No. 4, 801-826 (2020). MSC: 76M28 76D07 35Q35 65N12 65N75 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Tian}, Found. Comput. Math. 20, No. 4, 801--826 (2020; Zbl 1448.76112) Full Text: DOI arXiv
Zheng, Chunxiong; Du, Qiang; Ma, Xiang; Zhang, Jiwei Stability and error analysis for a second-order fast approximation of the local and nonlocal diffusion equations on the real line. (English) Zbl 1446.82045 SIAM J. Numer. Anal. 58, No. 3, 1893-1917 (2020). MSC: 82C21 65R20 46N20 45A05 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{C. Zheng} et al., SIAM J. Numer. Anal. 58, No. 3, 1893--1917 (2020; Zbl 1446.82045) Full Text: DOI
Du, Qiang; Feng, Xiaobing The phase field method for geometric moving interfaces and their numerical approximations. (English) Zbl 1455.35276 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 425-508 (2020). MSC: 35Qxx 65M06 65M60 65M70 65M20 65M12 65M15 65Z05 35B25 35K20 35K35 74A50 74N20 76T30 80A22 82C26 92C17 92C37 92C55 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Feng}, Handb. Numer. Anal. 21, 425--508 (2020; Zbl 1455.35276) Full Text: DOI arXiv
Lee, Hwi; Du, Qiang Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications. (English) Zbl 1450.76031 ESAIM, Math. Model. Numer. Anal. 54, No. 1, 105-128 (2020). MSC: 76M99 74S99 76D07 74B05 PDFBibTeX XMLCite \textit{H. Lee} and \textit{Q. Du}, ESAIM, Math. Model. Numer. Anal. 54, No. 1, 105--128 (2020; Zbl 1450.76031) Full Text: DOI arXiv
Tian, Xiaochuan; Du, Qiang Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models. (English) Zbl 1485.65058 SIAM Rev. 62, No. 1, 199-227 (2020). MSC: 65J10 49M25 65N30 65R20 82C21 46N40 45A05 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM Rev. 62, No. 1, 199--227 (2020; Zbl 1485.65058) Full Text: DOI
Du, Qiang; Yin, Xiaobo A conforming DG method for linear nonlocal models with integrable kernels. (English) Zbl 1428.82037 J. Sci. Comput. 80, No. 3, 1913-1935 (2019). MSC: 82C21 65R20 74S05 46N20 45A05 65N30 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Yin}, J. Sci. Comput. 80, No. 3, 1913--1935 (2019; Zbl 1428.82037) Full Text: DOI arXiv
Du, Qiang; Ju, Lili; Lu, Jianfang Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. (English) Zbl 1419.65058 J. Sci. Comput. 78, No. 3, 1438-1466 (2019). MSC: 65M60 65R20 65L06 65L07 45A05 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Sci. Comput. 78, No. 3, 1438--1466 (2019; Zbl 1419.65058) Full Text: DOI
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
Lee, Hwi; Du, Qiang Asymptotically compatible SPH-like particle discretizations of one dimensional linear advection models. (English) Zbl 1409.76114 SIAM J. Numer. Anal. 57, No. 1, 127-147 (2019). Reviewer: Josef Kofroň (Praha) MSC: 76M28 65M75 65R20 45A05 65M12 PDFBibTeX XMLCite \textit{H. Lee} and \textit{Q. Du}, SIAM J. Numer. Anal. 57, No. 1, 127--147 (2019; Zbl 1409.76114) Full Text: DOI
Zhao, Yanxiang; Ma, Yanping; Sun, Hui; Li, Bo; Du, Qiang A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation. (English) Zbl 1407.65234 Commun. Math. Sci. 16, No. 5, 1203-1223 (2018). MSC: 65M70 65K10 65Z05 65L06 76X05 35Q35 78A30 76T20 35Q20 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Commun. Math. Sci. 16, No. 5, 1203--1223 (2018; Zbl 1407.65234) Full Text: DOI arXiv
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan A peridynamic model of fracture mechanics with bond-breaking. (English) Zbl 1395.74041 J. Elasticity 132, No. 2, 197-218 (2018). MSC: 74H20 74H25 45K05 47G10 74R10 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Elasticity 132, No. 2, 197--218 (2018; Zbl 1395.74041) Full Text: DOI
Tian, Hao; Ju, Lili; Du, Qiang A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization. (English) Zbl 1439.65134 Comput. Methods Appl. Mech. Eng. 320, 46-67 (2017). MSC: 65N06 65N12 PDFBibTeX XMLCite \textit{H. Tian} et al., Comput. Methods Appl. Mech. Eng. 320, 46--67 (2017; Zbl 1439.65134) Full Text: DOI
Chen, An; Du, Qiang; Li, Changpin; Zhou, Zhi Asymptotically compatible schemes for space-time nonlocal diffusion equations. (English) Zbl 1422.65279 Chaos Solitons Fractals 102, 361-371 (2017). MSC: 65M70 65M06 65M12 35R10 PDFBibTeX XMLCite \textit{A. Chen} et al., Chaos Solitons Fractals 102, 361--371 (2017; Zbl 1422.65279) Full Text: DOI
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan; Yang, Jiang Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients. (English) Zbl 1439.74011 Comput. Methods Appl. Mech. Eng. 310, 605-627 (2016). MSC: 74A10 74A20 PDFBibTeX XMLCite \textit{Q. Du} et al., Comput. Methods Appl. Mech. Eng. 310, 605--627 (2016; Zbl 1439.74011) Full Text: DOI
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
Du, Qiang; Lipton, Robert; Mengesha, Tadele Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. (English) Zbl 1348.74287 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1425-1455 (2016). MSC: 74Q05 74E05 74H10 45F99 45P05 PDFBibTeX XMLCite \textit{Q. Du} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1425--1455 (2016; Zbl 1348.74287) Full Text: DOI
Du, Qiang; Yang, Jiang Asymptotically compatible Fourier spectral approximations of nonlocal Allen-Cahn equations. (English) Zbl 1342.65198 SIAM J. Numer. Anal. 54, No. 3, 1899-1919 (2016). MSC: 65M70 35Q35 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Du} and \textit{J. Yang}, SIAM J. Numer. Anal. 54, No. 3, 1899--1919 (2016; Zbl 1342.65198) Full Text: DOI
Mengesha, Tadele; Du, Qiang Characterization of function spaces of vector fields and an application in nonlinear peridynamics. (English) Zbl 1353.46027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 140, 82-111 (2016). MSC: 46E35 49J45 74B20 PDFBibTeX XMLCite \textit{T. Mengesha} and \textit{Q. Du}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 140, 82--111 (2016; Zbl 1353.46027) Full Text: DOI
Du, Qiang; Tian, Xiaochuan Robust discretization of nonlocal models related to peridynamics. (English) Zbl 1342.74178 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 97-113 (2015). MSC: 74S30 74S05 74S20 37N15 74P15 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Tian}, Lect. Notes Comput. Sci. Eng. 100, 97--113 (2015; Zbl 1342.74178) Full Text: DOI
Mengesha, Tadele; Du, Qiang On the variational limit of a class of nonlocal functionals related to peridynamics. (English) Zbl 1330.45011 Nonlinearity 28, No. 11, 3999-4035 (2015). MSC: 45P05 46E35 49J40 74B20 PDFBibTeX XMLCite \textit{T. Mengesha} and \textit{Q. Du}, Nonlinearity 28, No. 11, 3999--4035 (2015; Zbl 1330.45011) Full Text: DOI
Mengesha, Tadele; Du, Qiang Multiscale analysis of linearized peridynamics. (English) Zbl 1327.74129 Commun. Math. Sci. 13, No. 5, 1193-1218 (2015). MSC: 74Q05 74E05 74H10 45F99 45P05 PDFBibTeX XMLCite \textit{T. Mengesha} and \textit{Q. Du}, Commun. Math. Sci. 13, No. 5, 1193--1218 (2015; Zbl 1327.74129) Full Text: DOI
Tian, Xiaochuan; Du, Qiang Nonconforming discontinuous Galerkin methods for nonlocal variational problems. (English) Zbl 1322.65109 SIAM J. Numer. Anal. 53, No. 2, 762-781 (2015). MSC: 65N30 65R20 46N40 45A05 35J86 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM J. Numer. Anal. 53, No. 2, 762--781 (2015; Zbl 1322.65109) Full Text: DOI
Tian, Xiaochuan; Du, Qiang Asymptotically compatible schemes and applications to robust discretization of nonlocal models. (English) Zbl 1303.65098 SIAM J. Numer. Anal. 52, No. 4, 1641-1665 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65J10 35J05 65N55 47A50 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM J. Numer. Anal. 52, No. 4, 1641--1665 (2014; Zbl 1303.65098) Full Text: DOI
Zhao, Xuying; Shi, Zhong-Ci; Du, Qiang Constraint-free adaptive FEMs on quadrilateral nonconforming meshes. (English) Zbl 1310.65150 J. Sci. Comput. 59, No. 1, 53-79 (2014). MSC: 65N30 65N12 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Sci. Comput. 59, No. 1, 53--79 (2014; Zbl 1310.65150) Full Text: DOI
Chen, Jie; Wang, Desheng; Du, Qiang Linear finite element superconvergence on simplicial meshes. (English) Zbl 1312.65187 Math. Comput. 83, No. 289, 2161-2185 (2014). Reviewer: Charis Harley (Johannesburg) MSC: 65N30 65N50 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{J. Chen} et al., Math. Comput. 83, No. 289, 2161--2185 (2014; Zbl 1312.65187) Full Text: DOI
Zhu, Liyong; Du, Qiang Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems. (English) Zbl 1279.65119 Math. Comput. 83, No. 285, 37-64 (2014). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 65F10 65M12 35K20 65M50 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Q. Du}, Math. Comput. 83, No. 285, 37--64 (2014; Zbl 1279.65119) Full Text: DOI
Tian, Xiaochuan; Du, Qiand Analysis and comparison of different approximations to nonlocal diffusion and linear peridynamic equations. (English) Zbl 1295.82021 SIAM J. Numer. Anal. 51, No. 6, 3458-3482 (2013). Reviewer: Pavel Burda (Praha) MSC: 82C21 65R20 65M60 46N20 45A05 65M06 82-08 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM J. Numer. Anal. 51, No. 6, 3458--3482 (2013; Zbl 1295.82021) Full Text: DOI
Du, Qiang; Tian, Li; Zhao, Xuying A convergent adaptive finite element algorithm for nonlocal diffusion and peridynamic models. (English) Zbl 1271.82011 SIAM J. Numer. Anal. 51, No. 2, 1211-1234 (2013). MSC: 82C21 65R20 65M60 46N20 45A05 65M12 65M15 65M50 82-08 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 51, No. 2, 1211--1234 (2013; Zbl 1271.82011) Full Text: DOI Link
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L. A new approach for a nonlocal, nonlinear conservation law. (English) Zbl 1248.35121 SIAM J. Appl. Math. 72, No. 1, 464-487 (2012). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 65M06 65M08 65M12 35R09 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Appl. Math. 72, No. 1, 464--487 (2012; Zbl 1248.35121) Full Text: DOI Link
Huang, Yunqing; Qin, Hengfeng; Wang, Desheng; Du, Qiang Convergent adaptive finite element method based on centroidal Voronoi tessellations and superconvergence. (English) Zbl 1364.65251 Commun. Comput. Phys. 10, No. 2, 339-370 (2011). MSC: 65N30 65N50 65N15 65N12 PDFBibTeX XMLCite \textit{Y. Huang} et al., Commun. Comput. Phys. 10, No. 2, 339--370 (2011; Zbl 1364.65251) Full Text: DOI Link
Du, Qiang; Ju, Lili; Tian, Li Finite element approximation of the Cahn-Hilliard equation on surfaces. (English) Zbl 1230.80010 Comput. Methods Appl. Mech. Eng. 200, No. 29-32, 2458-2470 (2011). MSC: 80M10 80A22 65N30 65N15 PDFBibTeX XMLCite \textit{Q. Du} et al., Comput. Methods Appl. Mech. Eng. 200, No. 29--32, 2458--2470 (2011; Zbl 1230.80010) Full Text: DOI
Zhu, Liyong; Du, Qiang Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping. (English) Zbl 1269.65084 J. Comput. Appl. Math. 236, No. 5, 801-811 (2011). MSC: 65M12 65M60 35K20 65M50 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Q. Du}, J. Comput. Appl. Math. 236, No. 5, 801--811 (2011; Zbl 1269.65084) Full Text: DOI
Zhu, Liyong; Yuan, Guangwei; Du, Qiang An efficient explicit/implicit domain decomposition method for convection-diffusion equations. (English) Zbl 1196.65160 Numer. Methods Partial Differ. Equations 26, No. 4, 852-873 (2010). Reviewer: Costică Moroşanu (Iaşi) MSC: 65M55 65M06 65M12 65Y05 PDFBibTeX XMLCite \textit{L. Zhu} et al., Numer. Methods Partial Differ. Equations 26, No. 4, 852--873 (2010; Zbl 1196.65160) Full Text: DOI
Zhang, Jian; Du, Qiang Numerical studies of discrete approximations to the Allen-Cahn equation in the sharp interface limit. (English) Zbl 1198.82045 SIAM J. Sci. Comput. 31, No. 4, 3042-3063 (2009). MSC: 82C24 65M12 65M50 65Y20 65Z05 35Q56 65M60 65M06 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Q. Du}, SIAM J. Sci. Comput. 31, No. 4, 3042--3063 (2009; Zbl 1198.82045) Full Text: DOI
Zhu, Liyong; Yuan, Guangwei; Du, Qiang An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. (English) Zbl 1212.65369 Numer. Math., Theory Methods Appl. 2, No. 3, 301-325 (2009). MSC: 65M55 65M06 35K20 65Y05 65M12 PDFBibTeX XMLCite \textit{L. Zhu} et al., Numer. Math., Theory Methods Appl. 2, No. 3, 301--325 (2009; Zbl 1212.65369) Full Text: DOI Link
Du, Qiang; Zhang, Lei A constrained string method and its numerical analysis. (English) Zbl 1186.65079 Commun. Math. Sci. 7, No. 4, 1039-1051 (2009). MSC: 65K10 65M12 65Z05 49J20 49M25 PDFBibTeX XMLCite \textit{Q. Du} and \textit{L. Zhang}, Commun. Math. Sci. 7, No. 4, 1039--1051 (2009; Zbl 1186.65079) Full Text: DOI Euclid
Du, Qiang; Ju, Lili; Tian, Li Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces. (English) Zbl 1166.65057 IMA J. Numer. Anal. 29, No. 2, 376-403 (2009). Reviewer: Fuhua Ling (Milpitas) MSC: 65N30 35J40 65N50 65N12 65N15 PDFBibTeX XMLCite \textit{Q. Du} et al., IMA J. Numer. Anal. 29, No. 2, 376--403 (2009; Zbl 1166.65057) Full Text: DOI Link
Du, Qiang; Lin, Fanghua Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem. (English) Zbl 1157.65401 Nonlinearity 22, No. 1, 67-83 (2009). MSC: 65K10 49J20 49M25 65M12 35K50 65P40 49R50 PDFBibTeX XMLCite \textit{Q. Du} and \textit{F. Lin}, Nonlinearity 22, No. 1, 67--83 (2009; Zbl 1157.65401) Full Text: DOI Link
Du, Qiang; Emelianenko, Maria Uniform convergence of a nonlinear energy-based multilevel quantization scheme. (English) Zbl 1171.65011 SIAM J. Numer. Anal. 46, No. 3, 1483-1502 (2008). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 68U10 68U05 68T10 68P30 94A08 PDFBibTeX XMLCite \textit{Q. Du} and \textit{M. Emelianenko}, SIAM J. Numer. Anal. 46, No. 3, 1483--1502 (2008; Zbl 1171.65011) Full Text: DOI Link
Du, Qiang; Ming, PingBing Cascadic multigrid methods for parabolic problems. (English) Zbl 1178.65114 Sci. China, Ser. A 51, No. 8, 1415-1439 (2008). Reviewer: Petr Sváček (Praha) MSC: 65M55 65M60 65F10 65M06 65M12 65M15 35K20 PDFBibTeX XMLCite \textit{Q. Du} and \textit{P. Ming}, Sci. China, Ser. A 51, No. 8, 1415--1439 (2008; Zbl 1178.65114) Full Text: DOI
Du, Qiang; Wang, Xiaoqiang Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. (English) Zbl 1130.74046 Int. J. Numer. Anal. Model. 4, No. 3-4, 441-459 (2007). MSC: 74S05 74K15 65N12 65N30 65M12 65M60 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Wang}, Int. J. Numer. Anal. Model. 4, No. 3--4, 441--459 (2007; Zbl 1130.74046)
Zhang, Yanzhi; Bao, Weizhu; Du, Qiang The dynamics and interaction of quantized vortices in the Ginzburg-Landau-Schrödinger equation. (English) Zbl 1220.35165 SIAM J. Appl. Math. 67, No. 6, 1740-1775 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q55 65M12 65M70 65Z05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Appl. Math. 67, No. 6, 1740--1775 (2007; Zbl 1220.35165) Full Text: DOI
Du, Qiang; Emelianenko, Maria Acceleration schemes for computing centroidal Voronoi tessellations. (English) Zbl 1174.05323 Numer. Linear Algebra Appl. 13, No. 2-3, 173-192 (2006). MSC: 05B45 PDFBibTeX XMLCite \textit{Q. Du} and \textit{M. Emelianenko}, Numer. Linear Algebra Appl. 13, No. 2--3, 173--192 (2006; Zbl 1174.05323) Full Text: DOI
Du, Qiang; Emelianenko, Maria; Ju, Lili Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. (English) Zbl 1115.65017 SIAM J. Numer. Anal. 44, No. 1, 102-119 (2006). Reviewer: H. P. Dikshit (New Delhi) MSC: 65D18 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 44, No. 1, 102--119 (2006; Zbl 1115.65017) Full Text: DOI Link
Du, Qiang; Ju, Lili Finite volume methods on spheres and spherical centroidal Voronoi meshes. (English) Zbl 1099.65107 SIAM J. Numer. Anal. 43, No. 4, 1673-1692 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N30 65N15 65N50 65N12 35J25 PDFBibTeX XMLCite \textit{Q. Du} and \textit{L. Ju}, SIAM J. Numer. Anal. 43, No. 4, 1673--1692 (2005; Zbl 1099.65107) Full Text: DOI
Du, Qiang; Zhu, Wenxiang Analysis and applications of the exponential time differencing schemes and their contour integration modifications. (English) Zbl 1080.65074 BIT 45, No. 2, 307-328 (2005). Reviewer: Nicolae Pop (Baia Mare) MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{Q. Du} and \textit{W. Zhu}, BIT 45, No. 2, 307--328 (2005; Zbl 1080.65074) Full Text: DOI
Du, Qiang; Wang, Desheng Boundary recovery for three dimensional conforming Delaunay triangulation. (English) Zbl 1063.65135 Comput. Methods Appl. Mech. Eng. 193, No. 23-26, 2547-2563 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N50 65N12 65D18 PDFBibTeX XMLCite \textit{Q. Du} and \textit{D. Wang}, Comput. Methods Appl. Mech. Eng. 193, No. 23--26, 2547--2563 (2004; Zbl 1063.65135) Full Text: DOI
Du, Qiang; Zhu, Wenxiang Stability analysis and application of the exponential time differencing schemes. (English) Zbl 1052.65081 J. Comput. Math. 22, No. 2, 200-209 (2004). Reviewer: Alois Steindl (Wien) MSC: 65M12 65M70 65M06 35K55 PDFBibTeX XMLCite \textit{Q. Du} and \textit{W. Zhu}, J. Comput. Math. 22, No. 2, 200--209 (2004; Zbl 1052.65081)
Chung, Eric T.; Du, Qiang; Zou, Jun Convergence analysis of a finite volume method for Maxwell’s equations in nonhomogeneous media. (English) Zbl 1067.78018 SIAM J. Numer. Anal. 41, No. 1, 37-63 (2003). Reviewer: Christian Daveau (Orsay) MSC: 78M25 65M12 65M15 PDFBibTeX XMLCite \textit{E. T. Chung} et al., SIAM J. Numer. Anal. 41, No. 1, 37--63 (2003; Zbl 1067.78018) Full Text: DOI
Du, Qiang; Zhang, Ping Existence of weak solutions to some vortex density models. (English) Zbl 1044.35085 SIAM J. Math. Anal. 34, No. 6, 1279-1299 (2003). MSC: 35Q55 76B47 82D55 35D05 PDFBibTeX XMLCite \textit{Q. Du} and \textit{P. Zhang}, SIAM J. Math. Anal. 34, No. 6, 1279--1299 (2003; Zbl 1044.35085) Full Text: DOI
Du, Qiang; Zhang, Tianyu Numerical approximation of some linear stochastic partial differential equations driven by special additive noises. (English) Zbl 1030.65002 SIAM J. Numer. Anal. 40, No. 4, 1421-1445 (2002). Reviewer: Grigori Milstein (Berlin) MSC: 65C30 60H35 60H15 35R60 65N06 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{Q. Du} and \textit{T. Zhang}, SIAM J. Numer. Anal. 40, No. 4, 1421--1445 (2002; Zbl 1030.65002) Full Text: DOI
Ding, Shijin; Du, Qiang Critical magnetic field and asymptotic behavior of superconducting thin films. (English) Zbl 1055.35124 SIAM J. Math. Anal. 34, No. 1, 239-256 (2002). MSC: 35Q60 35B25 49J45 82D55 PDFBibTeX XMLCite \textit{S. Ding} and \textit{Q. Du}, SIAM J. Math. Anal. 34, No. 1, 239--256 (2002; Zbl 1055.35124) Full Text: DOI
Du, Qiang; Remski, Joan Limiting models for Josephson junctions and superconducting weak links. (English) Zbl 0993.35044 J. Math. Anal. Appl. 266, No. 2, 357-382 (2002). Reviewer: Boris A.Malomed (Tel Aviv) MSC: 82D55 35Q55 PDFBibTeX XMLCite \textit{Q. Du} and \textit{J. Remski}, J. Math. Anal. Appl. 266, No. 2, 357--382 (2002; Zbl 0993.35044) Full Text: DOI Link
Du, Q.; Mu, M.; Wu, Z. N. Efficient parallel algorithms for parabolic problems. (English) Zbl 1013.65090 SIAM J. Numer. Anal. 39, No. 5, 1469-1487 (2001). MSC: 65M06 65M12 65M15 65M55 35K05 65Y05 65Y20 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 39, No. 5, 1469--1487 (2001; Zbl 1013.65090) Full Text: DOI
Du, Qiang; Guo, Benyu; Shen, Jie Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. (English) Zbl 1007.76057 SIAM J. Numer. Anal. 39, No. 3, 735-762 (2001); corrigendum ibid. 41, No. 2, 796-798 (2003). Reviewer: Oleg Titow (Berlin) MSC: 76M22 76A15 65M12 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 39, No. 3, 735--762 (2001; Zbl 1007.76057) Full Text: DOI
Chen, Zhiming; Du, Qiang An upwinding mixed finite element method for a mean field model of superconducting vortices. (English) Zbl 1078.82548 M2AN, Math. Model. Numer. Anal. 34, No. 3, 687-706 (2000). MSC: 82D55 65N30 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{Q. Du}, M2AN, Math. Model. Numer. Anal. 34, No. 3, 687--706 (2000; Zbl 1078.82548) Full Text: DOI EuDML
Du, Qiang Convergence analysis of a numerical method for a mean field model of superconducting vortices. (English) Zbl 1017.82047 SIAM J. Numer. Anal. 37, No. 3, 911-926 (2000). MSC: 82D55 65N30 65N06 PDFBibTeX XMLCite \textit{Q. Du}, SIAM J. Numer. Anal. 37, No. 3, 911--926 (2000; Zbl 1017.82047) Full Text: DOI
Du, Qiang; Wu, Xiaonan Numerical solution of the three-dimensional Ginzburg-Landau models using artificial boundary. (English) Zbl 0935.65119 SIAM J. Numer. Anal. 36, No. 5, 1482-1506 (1999). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 35Q72 65N55 82D55 35J05 82B80 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Wu}, SIAM J. Numer. Anal. 36, No. 5, 1482--1506 (1999; Zbl 0935.65119) Full Text: DOI
Du, Qiang Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity. (English) Zbl 0907.65086 Math. Comput. 67, No. 223, 965-986 (1998). Reviewer: C.L.Koul (Jaipur) MSC: 65M06 65M12 78A25 35Q60 65M15 82D55 PDFBibTeX XMLCite \textit{Q. Du}, Math. Comput. 67, No. 223, 965--986 (1998; Zbl 0907.65086) Full Text: DOI
Du, Qiang; Nicolaides, R. A.; Wu, Xiaonan Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity. (English) Zbl 0911.65139 SIAM J. Numer. Anal. 35, No. 3, 1049-1072 (1998). Reviewer: P.K.Mahanti (Ranchi) MSC: 65Z05 65N30 65N12 35Q72 82D55 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Numer. Anal. 35, No. 3, 1049--1072 (1998; Zbl 0911.65139) Full Text: DOI
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z. Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems. (English) Zbl 0865.65021 SIAM J. Sci. Comput. 17, No. 6, 1347-1368 (1996). Reviewer: L.Elsner (Bielefeld) MSC: 65F15 65H05 12Y05 26C10 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Sci. Comput. 17, No. 6, 1347--1368 (1996; Zbl 0865.65021) Full Text: DOI
Du, Qiang; Gunzburger, Max D.; Hou, L. Steven Analysis and finite element approximation of optimal control problems for a Ladyzhenskaya model for stationary, incompressible, viscous flows. (English) Zbl 0835.76046 J. Comput. Appl. Math. 61, No. 3, 323-343 (1995). MSC: 76M10 76D99 49J20 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Comput. Appl. Math. 61, No. 3, 323--343 (1995; Zbl 0835.76046) Full Text: DOI
Chen, Gui-Qiang; Du, Qiang; Tadmor, Eitan Spectral viscosity approximations to multidimensional scalar conservation laws. (English) Zbl 0799.35148 Math. Comput. 61, No. 204, 629-643 (1993). MSC: 35L65 65M12 65M15 PDFBibTeX XMLCite \textit{G.-Q. Chen} et al., Math. Comput. 61, No. 204, 629--643 (1993; Zbl 0799.35148) Full Text: DOI
Ding, J.; Du, Q.; Li, T. Y. High order approximation of the Frobenius-Perron operator. (English) Zbl 0769.65025 Appl. Math. Comput. 53, No. 2-3, 151-171 (1993). Reviewer: W.Govaerts (Gent) MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{J. Ding} et al., Appl. Math. Comput. 53, No. 2--3, 151--171 (1993; Zbl 0769.65025) Full Text: DOI
Du, Qiang; Nicolaides, R. A. Numerical analysis of a continuum model of phase transition. (English) Zbl 0744.65089 SIAM J. Numer. Anal. 28, No. 5, 1310-1322 (1991). Reviewer: R.S.Anderssen (Canberra) MSC: 65Z05 65M30 65M20 65M12 65M60 35K55 80A22 35R35 35R25 PDFBibTeX XMLCite \textit{Q. Du} and \textit{R. A. Nicolaides}, SIAM J. Numer. Anal. 28, No. 5, 1310--1322 (1991; Zbl 0744.65089) Full Text: DOI Link