Akrivis, Georgios; Chen, Minghua; Han, Jianxing; Yu, Fan; Zhang, Zhimin The variable two-step BDF method for parabolic equations. (English) Zbl 07813314 BIT 64, No. 1, Paper No. 14, 21 p. (2024). MSC: 65L05 34A12 PDFBibTeX XMLCite \textit{G. Akrivis} et al., BIT 64, No. 1, Paper No. 14, 21 p. (2024; Zbl 07813314) Full Text: DOI OA License
Yang, Xuehua; Zhang, Zhimin On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations. (English) Zbl 07809671 Appl. Math. Lett. 150, Article ID 108972, 6 p. (2024). MSC: 65M08 65M06 65N08 65H10 35A21 35B09 26A33 35R11 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Z. Zhang}, Appl. Math. Lett. 150, Article ID 108972, 6 p. (2024; Zbl 07809671) Full Text: DOI
Zhang, Qifeng; Zhang, Jiyuan; Zhang, Zhimin Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy. (English) Zbl 07795705 Calcolo 61, No. 1, Paper No. 9, 39 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35B06 76U60 76B15 86A05 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Calcolo 61, No. 1, Paper No. 9, 39 p. (2024; Zbl 07795705) Full Text: DOI arXiv
Zhang, Jiwei; Zhang, Zhimin; Zhao, Chengchao Do we need decay-preserving error estimate for solving parabolic equations with initial singularity? arXiv:2402.02849 Preprint, arXiv:2402.02849 [math.NA] (2024). MSC: 65M06 65M15 BibTeX Cite \textit{J. Zhang} et al., ``Do we need decay-preserving error estimate for solving parabolic equations with initial singularity?'', Preprint, arXiv:2402.02849 [math.NA] (2024) Full Text: arXiv OA License
Cai, Ying; Guo, Hailong; Zhang, Zhimin Superconvergent postprocessing of \(C^0\) interior penalty method. arXiv:2401.12589 Preprint, arXiv:2401.12589 [math.NA] (2024). MSC: 65N30 65N25 65N15 65N50 BibTeX Cite \textit{Y. Cai} et al., ``Superconvergent postprocessing of $C^0$ interior penalty method'', Preprint, arXiv:2401.12589 [math.NA] (2024) Full Text: arXiv OA License
Zhang, Qian; Zhang, Min; Zhang, Zhimin Nonconforming finite elements for the \(-\operatorname{curl}\Delta\operatorname{curl}\) and Brinkman problems on cubical meshes. (English) Zbl 07787323 Commun. Comput. Phys. 34, No. 5, 1332-1360 (2023). MSC: 65N30 35Q60 65N15 35B45 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Commun. Comput. Phys. 34, No. 5, 1332--1360 (2023; Zbl 07787323) Full Text: DOI arXiv
Han, Jiayu; Zhang, Zhimin An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem. (English) Zbl 07782832 BIT 63, No. 4, Paper No. 56, 29 p. (2023). MSC: 65N25 65N30 65N12 65N15 65N50 35B45 35Q60 PDFBibTeX XMLCite \textit{J. Han} and \textit{Z. Zhang}, BIT 63, No. 4, Paper No. 56, 29 p. (2023; Zbl 07782832) Full Text: DOI arXiv
Ma, Shu; Wang, Jilu; Zhang, Mingyan; Zhang, Zhimin Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator. (English) Zbl 07773316 Adv. Comput. Math. 49, No. 6, Paper No. 77, 38 p. (2023). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M70 65H10 65H10 65M15 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{S. Ma} et al., Adv. Comput. Math. 49, No. 6, Paper No. 77, 38 p. (2023; Zbl 07773316) Full Text: DOI
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin On discrete energy dissipation of Maxwell’s equations in a Cole-Cole dispersive medium. (English) Zbl 07750351 J. Comput. Math. 41, No. 5, 980-1002 (2023). MSC: 65N06 65B99 PDFBibTeX XMLCite \textit{B. Yin} et al., J. Comput. Math. 41, No. 5, 980--1002 (2023; Zbl 07750351) Full Text: DOI
Liu, Ziqi; Miao, Shuai; Zhang, Zhimin A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes. (English) Zbl 07741330 Comput. Math. Appl. 146, 165-175 (2023). MSC: 65N12 65N06 65N08 35J25 65N15 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Math. Appl. 146, 165--175 (2023; Zbl 07741330) Full Text: DOI
Li, Hengguang; Yin, Peimeng; Zhang, Zhimin A \(C^0\) finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. (English) Zbl 07726049 IMA J. Numer. Anal. 43, No. 3, 1779-1801 (2023). MSC: 65Nxx PDFBibTeX XMLCite \textit{H. Li} et al., IMA J. Numer. Anal. 43, No. 3, 1779--1801 (2023; Zbl 07726049) Full Text: DOI arXiv
Hu, Kaibo; Zhang, Qian; Han, Jiayu; Wang, Lixiu; Zhang, Zhimin Spurious solutions for high-order curl problems. (English) Zbl 07726038 IMA J. Numer. Anal. 43, No. 3, 1422-1449 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{K. Hu} et al., IMA J. Numer. Anal. 43, No. 3, 1422--1449 (2023; Zbl 07726038) Full Text: DOI arXiv
Chu, Tianyang; Wang, Jilu; Wang, Na; Zhang, Zhimin Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data. (English) Zbl 1518.35527 J. Sci. Comput. 96, No. 2, Paper No. 62, 22 p. (2023). MSC: 35Q30 76D05 65M60 65M06 65N30 65M50 65B05 65M12 65M15 76M10 76M20 PDFBibTeX XMLCite \textit{T. Chu} et al., J. Sci. Comput. 96, No. 2, Paper No. 62, 22 p. (2023; Zbl 1518.35527) Full Text: DOI
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin Superconvergence analysis of \(C^m\) finite element methods for fourth-order elliptic equations. I: One dimensional case. (English) Zbl 1514.65165 Commun. Comput. Phys. 33, No. 5, 1466-1508 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{W. Cao} et al., Commun. Comput. Phys. 33, No. 5, 1466--1508 (2023; Zbl 1514.65165) Full Text: DOI
Wang, Xiang; Zhang, Yuqing; Zhang, Zhimin New superconvergent structures with optional superconvergent points for the finite volume element method. (English) Zbl 1514.65113 Commun. Comput. Phys. 33, No. 5, 1332-1356 (2023). MSC: 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Comput. Phys. 33, No. 5, 1332--1356 (2023; Zbl 1514.65113) Full Text: DOI
Zhang, Baiju; Zhang, Zhimin A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. (English) Zbl 1515.65303 Commun. Comput. Phys. 33, No. 4, 1069-1089 (2023). MSC: 65N30 65N15 41A25 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{Z. Zhang}, Commun. Comput. Phys. 33, No. 4, 1069--1089 (2023; Zbl 1515.65303) Full Text: DOI arXiv
Wang, Lixiu; Zhang, Qian; Zhang, Zhimin Superconvergence analysis of curlcurl-conforming elements on rectangular meshes. (English) Zbl 1516.65141 J. Sci. Comput. 95, No. 2, Paper No. 62, 23 p. (2023). MSC: 65N30 65N12 65N15 35B45 78A46 76W05 78M10 35Q60 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Sci. Comput. 95, No. 2, Paper No. 62, 23 p. (2023; Zbl 1516.65141) Full Text: DOI
Tian, Yan; Kong, Desong; Zhang, Zhimin Superconvergence of Legendre-Gauss-Lobatto interpolation and spectral collocation. (English) Zbl 1511.65134 Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4578-4597 (2023). MSC: 65N35 65N22 65D05 65D30 41A05 65L60 65N12 PDFBibTeX XMLCite \textit{Y. Tian} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4578--4597 (2023; Zbl 1511.65134) Full Text: DOI
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. (English) Zbl 07652817 J. Comput. Phys. 477, Article ID 111925, 19 p. (2023). MSC: 65Lxx 65Mxx 65Pxx PDFBibTeX XMLCite \textit{D. Li} et al., J. Comput. Phys. 477, Article ID 111925, 19 p. (2023; Zbl 07652817) Full Text: DOI
Zhang, Baiju; Zhang, Zhimin Polynomial preserving recovery and a posteriori error estimates for the two-dimensional quad-curl problem. (English) Zbl 1501.65136 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1323-1341 (2023). MSC: 65N30 65N50 65N15 65N12 41A25 35J05 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{Z. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1323--1341 (2023; Zbl 1501.65136) Full Text: DOI
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs. (English) Zbl 1511.65068 Math. Comput. 92, No. 339, 117-146 (2023). MSC: 65L06 65L20 65M12 PDFBibTeX XMLCite \textit{D. Li} et al., Math. Comput. 92, No. 339, 117--146 (2023; Zbl 1511.65068) Full Text: DOI
Zhang, Hui; Zeng, Fanhai; Jiang, Xiaoyun; Zhang, Zhimin Fast time-stepping discontinuous Galerkin method for the subdiffusion equation. arXiv:2309.02988 Preprint, arXiv:2309.02988 [math.NA] (2023). MSC: 26A33 65M06 65M12 65M15 35R11 BibTeX Cite \textit{H. Zhang} et al., ``Fast time-stepping discontinuous Galerkin method for the subdiffusion equation'', Preprint, arXiv:2309.02988 [math.NA] (2023) Full Text: arXiv OA License
Zhang, Jiwei; Zhang, Zhimin; Zhao, Chengchao \(\alpha\)-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems. arXiv:2305.07383 Preprint, arXiv:2305.07383 [math.NA] (2023). MSC: 65M06 35B65 BibTeX Cite \textit{J. Zhang} et al., ``$\alpha$-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems'', Preprint, arXiv:2305.07383 [math.NA] (2023) Full Text: arXiv OA License
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin A \(C^1\) conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence analysis over rectangular meshes. (English) Zbl 07714592 SIAM J. Numer. Anal. 60, No. 1, 274-311 (2022). MSC: 65N30 65D05 65N12 65N15 33C45 PDFBibTeX XMLCite \textit{W. Cao} et al., SIAM J. Numer. Anal. 60, No. 1, 274--311 (2022; Zbl 07714592) Full Text: DOI arXiv
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin A family of finite element Stokes complexes in three dimensions. (English) Zbl 1522.65212 SIAM J. Numer. Anal. 60, No. 1, 222-243 (2022). MSC: 65N30 65N15 35B45 76D07 76W05 58A12 35Q35 35Q60 PDFBibTeX XMLCite \textit{K. Hu} et al., SIAM J. Numer. Anal. 60, No. 1, 222--243 (2022; Zbl 1522.65212) Full Text: DOI arXiv
Zhang, Qian; Zhang, Zhimin Three families of grad div-conforming finite elements. (English) Zbl 1501.65137 Numer. Math. 152, No. 3, 701-724 (2022). MSC: 65N30 65N15 65N12 58A12 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Z. Zhang}, Numer. Math. 152, No. 3, 701--724 (2022; Zbl 1501.65137) Full Text: DOI arXiv
Chen, Sheng; Zhang, Zhimin An exponential convergence approximation to singularly perturbed problems by log orthogonal functions. (English) Zbl 1492.65339 Calcolo 59, No. 3, Paper No. 30, 23 p. (2022). MSC: 65N35 41A30 34B08 65N12 65N15 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Z. Zhang}, Calcolo 59, No. 3, Paper No. 30, 23 p. (2022; Zbl 1492.65339) Full Text: DOI
Zhang, Qifeng; Liu, Lingling; Zhang, Zhimin Linearly implicit invariant-preserving decoupled difference scheme for the rotation-two-component Camassa-Holm system. (English) Zbl 1492.65248 SIAM J. Sci. Comput. 44, No. 4, A2226-A2252 (2022). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Q. Zhang} et al., SIAM J. Sci. Comput. 44, No. 4, A2226--A2252 (2022; Zbl 1492.65248) Full Text: DOI
Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. (English) Zbl 1492.35397 J. Sci. Comput. 92, No. 2, Paper No. 52, 26 p. (2022). MSC: 35Q99 65M06 65M12 74A50 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., J. Sci. Comput. 92, No. 2, Paper No. 52, 26 p. (2022; Zbl 1492.35397) Full Text: DOI arXiv
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations. (English) Zbl 1493.65147 Sci. China, Math. 65, No. 8, 1731-1748 (2022). MSC: 65M60 65M06 65N30 65M12 65N12 35B35 PDFBibTeX XMLCite \textit{W. Cao} et al., Sci. China, Math. 65, No. 8, 1731--1748 (2022; Zbl 1493.65147) Full Text: DOI arXiv
Wang, Lixiu; Zhang, Qian; Sun, Jiguang; Zhang, Zhimin A priori and a posteriori error estimates for the quad-curl eigenvalue problem. (English) Zbl 1490.65256 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027-1051 (2022). MSC: 65N25 65N15 65N30 76W05 PDFBibTeX XMLCite \textit{L. Wang} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027--1051 (2022; Zbl 1490.65256) Full Text: DOI arXiv
Zhang, Baiju; Li, Hengguang; Zhang, Zhimin Solving biharmonic eigenvalue problem with Navier boundary condition via Poisson solvers on non-convex domains. (English) Zbl 1490.65258 J. Sci. Comput. 92, No. 1, Paper No. 24, 20 p. (2022). MSC: 65N25 35J40 65N12 65N30 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Sci. Comput. 92, No. 1, Paper No. 24, 20 p. (2022; Zbl 1490.65258) Full Text: DOI arXiv
Du, Shaohong; Lin, Runchang; Zhang, Zhimin Residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems. (English) Zbl 1493.65196 J. Comput. Appl. Math. 412, Article ID 114323, 16 p. (2022). MSC: 65N30 65N15 35B25 35J30 74K20 PDFBibTeX XMLCite \textit{S. Du} et al., J. Comput. Appl. Math. 412, Article ID 114323, 16 p. (2022; Zbl 1493.65196) Full Text: DOI
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes. (English) Zbl 07515303 BIT 62, No. 2, 631-666 (2022). MSC: 65Mxx 26A33 65D25 65D30 PDFBibTeX XMLCite \textit{B. Yin} et al., BIT 62, No. 2, 631--666 (2022; Zbl 07515303) Full Text: DOI arXiv
Hesthaven, Jan S. (ed.); Ryan, Jennifer (ed.); Shu, Chi-Wang (ed.); van der Vegt, Jaap (ed.); Xu, Yan (ed.); Zhang, Qiang (ed.); Zhang, Zhimin (ed.) Preface to focused issue on discontinuous Galerkin methods. (English) Zbl 07508604 Commun. Appl. Math. Comput. 4, No. 1, 1-2 (2022). MSC: 00Bxx 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{J. S. Hesthaven} (ed.) et al., Commun. Appl. Math. Comput. 4, No. 1, 1--2 (2022; Zbl 07508604) Full Text: DOI
Pang, Xiangying; Sun, Jiguang; Zhang, Zhimin FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses. (English) Zbl 1490.74110 J. Comput. Appl. Math. 410, Article ID 114156, 10 p. (2022). MSC: 74S05 74H45 74K20 PDFBibTeX XMLCite \textit{X. Pang} et al., J. Comput. Appl. Math. 410, Article ID 114156, 10 p. (2022; Zbl 1490.74110) Full Text: DOI arXiv
Wang, Wei; Zhang, Zhimin Spectral element methods for eigenvalue problems based on domain decomposition. (English) Zbl 1496.65228 SIAM J. Sci. Comput. 44, No. 2, A689-A719 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N25 65N55 65N12 65Y05 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Z. Zhang}, SIAM J. Sci. Comput. 44, No. 2, A689--A719 (2022; Zbl 1496.65228) Full Text: DOI
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials. (English) Zbl 1490.65277 J. Sci. Comput. 91, No. 1, Paper No. 22, 35 p. (2022). MSC: 65N30 65N35 PDFBibTeX XMLCite \textit{L. Jia} et al., J. Sci. Comput. 91, No. 1, Paper No. 22, 35 p. (2022; Zbl 1490.65277) Full Text: DOI arXiv
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. (English) Zbl 1490.65249 J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022). MSC: 65N15 65N35 35B25 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022; Zbl 1490.65249) Full Text: DOI
Duan, Beiping; Li, Buyang; Zhang, Zhimin High-order fully discrete energy diminishing evolving surface finite element methods for a class of geometric curvature flows. (English) Zbl 1499.65491 Ann. Appl. Math. 37, No. 4, 405-436 (2021). MSC: 65M60 65M70 35A24 PDFBibTeX XMLCite \textit{B. Duan} et al., Ann. Appl. Math. 37, No. 4, 405--436 (2021; Zbl 1499.65491) Full Text: DOI
Ren, Jincheng; Chen, Hu; Zhang, Jiwei; Zhang, Zhimin Error analysis of a fully discrete scheme for a multi-term time fractional diffusion equation with initial singularity. (Chinese. English summary) Zbl 1499.65576 Sci. Sin., Math. 51, No. 8, 1279-1296 (2021). MSC: 65M70 65M12 65M06 65N35 26A33 35R11 PDFBibTeX XMLCite \textit{J. Ren} et al., Sci. Sin., Math. 51, No. 8, 1279--1296 (2021; Zbl 1499.65576) Full Text: DOI
Wang, Lixiu; Shan, Weikun; Li, Huiyuan; Zhang, Zhimin \(H(\mathrm{curl}^2)\)-conforming quadrilateral spectral element method for quad-curl problems. (English) Zbl 1478.65137 Math. Models Methods Appl. Sci. 31, No. 10, 1951-1986 (2021). MSC: 65N35 65N30 35Q60 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Models Methods Appl. Sci. 31, No. 10, 1951--1986 (2021; Zbl 1478.65137) Full Text: DOI arXiv
Qin, Hongyu; Li, Dongfang; Zhang, Zhimin A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations. (English) Zbl 1481.65151 J. Sci. Comput. 89, No. 3, Paper No. 65, 20 p. (2021). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{H. Qin} et al., J. Sci. Comput. 89, No. 3, Paper No. 65, 20 p. (2021; Zbl 1481.65151) Full Text: DOI
Guo, Yichen; Jia, Lueling; Chen, Huajie; Li, Huiyuan; Zhang, Zhimin A mortar spectral element method for full-potential electronic structure calculations. (English) Zbl 1475.65182 Commun. Comput. Phys. 29, No. 5, 1541-1569 (2021). MSC: 65N25 65N30 35Q40 81Q80 PDFBibTeX XMLCite \textit{Y. Guo} et al., Commun. Comput. Phys. 29, No. 5, 1541--1569 (2021; Zbl 1475.65182) Full Text: DOI
Wang, Lixiu; Li, Huiyuan; Zhang, Zhimin \(H(\mathrm{curl}^2)\)-conforming spectral element method for quad-curl problems. (English) Zbl 1473.65319 Comput. Methods Appl. Math. 21, No. 3, 661-681 (2021). MSC: 65N30 35Q60 65N15 35B45 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Methods Appl. Math. 21, No. 3, 661--681 (2021; Zbl 1473.65319) Full Text: DOI
Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin The unified theory of shifted convolution quadrature for fractional calculus. (English) Zbl 1523.65073 J. Sci. Comput. 89, No. 1, Paper No. 18, 24 p. (2021). MSC: 65M06 65D32 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Sci. Comput. 89, No. 1, Paper No. 18, 24 p. (2021; Zbl 1523.65073) Full Text: DOI arXiv
Tao, Qi; Cao, Waixiang; Zhang, Zhimin Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations. (English) Zbl 1500.65071 J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{Q. Tao} et al., J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021; Zbl 1500.65071) Full Text: DOI
Du, Shaohong; Lin, Runchang; Zhang, Zhimin Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems. (English) Zbl 1478.65120 Appl. Numer. Math. 168, 23-40 (2021). MSC: 65N30 65N50 65N15 35B25 PDFBibTeX XMLCite \textit{S. Du} et al., Appl. Numer. Math. 168, 23--40 (2021; Zbl 1478.65120) Full Text: DOI arXiv
Hao, Zhaopeng; Li, Huiyuan; Zhang, Zhimin; Zhang, Zhongqiang Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. (English) Zbl 1480.65355 Math. Comput. 90, No. 331, 2107-2135 (2021). MSC: 65N35 65N30 65N12 35B65 41A25 26B40 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Hao} et al., Math. Comput. 90, No. 331, 2107--2135 (2021; Zbl 1480.65355) Full Text: DOI
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin A \(C^1\) Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. (English) Zbl 1465.65128 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 81-105 (2021). MSC: 65N30 65N35 65N12 65N15 33C45 PDFBibTeX XMLCite \textit{W. Cao} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 81--105 (2021; Zbl 1465.65128) Full Text: DOI arXiv
Chen, Hongtao; Feng, Xiaobing; Zhang, Zhimin A recovery-based linear \(C^0\) finite element method for a fourth-order singularly perturbed Monge-Ampère equation. (English) Zbl 1465.65132 Adv. Comput. Math. 47, No. 2, Paper No. 21, 37 p. (2021). MSC: 65N30 65N15 35J60 35J96 35D30 35B25 PDFBibTeX XMLCite \textit{H. Chen} et al., Adv. Comput. Math. 47, No. 2, Paper No. 21, 37 p. (2021; Zbl 1465.65132) Full Text: DOI
Wang, Jiangxing; Zhang, Jiwei; Zhang, Zhimin A CG-DG method for Maxwell’s equations in Cole-Cole dispersive media. (English) Zbl 1468.65153 J. Comput. Appl. Math. 393, Article ID 113480, 19 p. (2021). MSC: 65M60 65N30 78A25 78M10 35Q61 35R11 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Comput. Appl. Math. 393, Article ID 113480, 19 p. (2021; Zbl 1468.65153) Full Text: DOI
Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin Finite element calculation of photonic band structures for frequency dependent materials. (English) Zbl 1466.65207 J. Sci. Comput. 87, No. 1, Paper No. 27, 16 p. (2021). MSC: 65N30 65N25 65J15 65N12 78A60 78M10 35P30 35Q60 PDFBibTeX XMLCite \textit{W. Xiao} et al., J. Sci. Comput. 87, No. 1, Paper No. 27, 16 p. (2021; Zbl 1466.65207) Full Text: DOI arXiv
Liao, Hong-Lin; Zhang, Zhimin Analysis of adaptive BDF2 scheme for diffusion equations. (English) Zbl 1466.65067 Math. Comput. 90, No. 329, 1207-1226 (2021). MSC: 65M06 65M12 65M50 PDFBibTeX XMLCite \textit{H.-L. Liao} and \textit{Z. Zhang}, Math. Comput. 90, No. 329, 1207--1226 (2021; Zbl 1466.65067) Full Text: DOI arXiv
Guan, Hongbo; Zhang, Zhimin; Zhu, Huiqing A note on the immersed finite element basis functions for elliptic interface problems. (English) Zbl 1458.74134 Appl. Math. Lett. 115, Article ID 106660, 10 p. (2021). MSC: 74S05 76M10 65N30 35R05 PDFBibTeX XMLCite \textit{H. Guan} et al., Appl. Math. Lett. 115, Article ID 106660, 10 p. (2021; Zbl 1458.74134) Full Text: DOI
Ren, Jincheng; Liao, Hong-lin; Zhang, Jiwei; Zhang, Zhimin Sharp \(H^1\)-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. (English) Zbl 1467.65086 J. Comput. Appl. Math. 389, Article ID 113352, 18 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Comput. Appl. Math. 389, Article ID 113352, 18 p. (2021; Zbl 1467.65086) Full Text: DOI arXiv
Li, Buyang; Wang, Kai; Zhang, Zhimin A Hodge decomposition method for dynamic Ginzburg-Landau equations in nonsmooth domains – a second approach. (English) Zbl 1473.65204 Commun. Comput. Phys. 28, No. 2, 768-802 (2020). MSC: 65M60 65M12 35K61 35Q56 PDFBibTeX XMLCite \textit{B. Li} et al., Commun. Comput. Phys. 28, No. 2, 768--802 (2020; Zbl 1473.65204) Full Text: DOI
Gong, Bo; Han, Jiayu; Sun, Jiguang; Zhang, Zhimin A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem. (English) Zbl 1473.65280 Commun. Comput. Phys. 27, No. 1, 251-273 (2020). MSC: 65N25 65N30 65N55 PDFBibTeX XMLCite \textit{B. Gong} et al., Commun. Comput. Phys. 27, No. 1, 251--273 (2020; Zbl 1473.65280) Full Text: DOI
Pan, Hao; Zhang, Zhimin; Zhao, Lewei Some new developments of polynomial preserving recovery on hexagon and Chevron patches. (English) Zbl 1471.65202 Int. J. Numer. Anal. Model. 17, No. 3, 390-403 (2020). MSC: 65N30 65N80 PDFBibTeX XMLCite \textit{H. Pan} et al., Int. J. Numer. Anal. Model. 17, No. 3, 390--403 (2020; Zbl 1471.65202) Full Text: Link
An, Jing; Cao, Waixiang; Zhang, Zhimin A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems. (English) Zbl 1460.65128 Commun. Math. Sci. 18, No. 2, 395-428 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N30 65M15 65P10 PDFBibTeX XMLCite \textit{J. An} et al., Commun. Math. Sci. 18, No. 2, 395--428 (2020; Zbl 1460.65128) Full Text: DOI
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin Simple curl-curl-conforming finite elements in two dimensions. (English) Zbl 1458.65148 SIAM J. Sci. Comput. 42, No. 6, A3859-A3877 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35Q60 65N15 35B45 78M10 58A12 PDFBibTeX XMLCite \textit{K. Hu} et al., SIAM J. Sci. Comput. 42, No. 6, A3859--A3877 (2020; Zbl 1458.65148) Full Text: DOI arXiv
Du, Yu; Wu, Haijun; Zhang, Zhimin Superconvergence analysis of the polynomial preserving recovery for elliptic problems with Robin boundary conditions. (English) Zbl 1463.65366 J. Comput. Math. 38, No. 1, 223-238 (2020). MSC: 65N30 65N12 65N15 65D05 35R09 65N50 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Comput. Math. 38, No. 1, 223--238 (2020; Zbl 1463.65366) Full Text: DOI
He, Wenming; Zhang, Zhimin; Zou, Qingsong Local superconvergence of post-processed high-order finite volume element solutions. (English) Zbl 1454.65145 Adv. Comput. Math. 46, No. 4, Paper No. 60, 26 p. (2020). MSC: 65N08 65N15 65N12 PDFBibTeX XMLCite \textit{W. He} et al., Adv. Comput. Math. 46, No. 4, Paper No. 60, 26 p. (2020; Zbl 1454.65145) Full Text: DOI
Zhao, Jin; Zhang, Zhimin Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments. (English) Zbl 1524.76320 Comput. Math. Appl. 80, No. 12, 2764-2779 (2020). MSC: 76M28 76D05 76P05 65M12 76M20 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{Z. Zhang}, Comput. Math. Appl. 80, No. 12, 2764--2779 (2020; Zbl 1524.76320) Full Text: DOI
Zhao, Jin; Zhang, Zhimin; Yong, Wen-An Vector-type boundary schemes for the lattice Boltzmann method based on vector-BGK models. (English) Zbl 1453.35135 SIAM J. Sci. Comput. 42, No. 5, B1250-B1270 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q20 76M28 65M75 76P05 76D05 PDFBibTeX XMLCite \textit{J. Zhao} et al., SIAM J. Sci. Comput. 42, No. 5, B1250--B1270 (2020; Zbl 1453.35135) Full Text: DOI
Ren, Jincheng; Liao, Hong-lin; Zhang, Zhimin Superconvergence error estimate of a finite element method on nonuniform time meshes for reaction-subdiffusion equations. (English) Zbl 1452.65247 J. Sci. Comput. 84, No. 2, Paper No. 38, 23 p. (2020). MSC: 65M60 65M15 65N15 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Sci. Comput. 84, No. 2, Paper No. 38, 23 p. (2020; Zbl 1452.65247) Full Text: DOI
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. (English) Zbl 1452.65316 Appl. Numer. Math. 158, 54-84 (2020). MSC: 65N25 65N30 65N35 65N12 65N15 35J10 35P15 35B65 PDFBibTeX XMLCite \textit{L. Jia} et al., Appl. Numer. Math. 158, 54--84 (2020; Zbl 1452.65316) Full Text: DOI
Wang, Lixiu; Yao, Changhui; Zhang, Zhimin Convergence analysis of finite element approximation for 3-D magneto-heating coupling model. (English) Zbl 1465.65104 Int. J. Numer. Anal. Model. 17, No. 1, 1-23 (2020). MSC: 65M60 65M06 65N30 65M12 35A01 35A02 78A25 80A19 35Q60 78M10 78M20 PDFBibTeX XMLCite \textit{L. Wang} et al., Int. J. Numer. Anal. Model. 17, No. 1, 1--23 (2020; Zbl 1465.65104) Full Text: Link
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. (English) Zbl 1447.65167 Comput. Math. Appl. 80, No. 5, 906-916 (2020). MSC: 65N30 74K30 74S05 35Q74 PDFBibTeX XMLCite \textit{X. Ye} et al., Comput. Math. Appl. 80, No. 5, 906--916 (2020; Zbl 1447.65167) Full Text: DOI
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions. (English) Zbl 1445.65036 J. Sci. Comput. 84, No. 1, Paper No. 2, 22 p. (2020). MSC: 65M60 65N30 65M06 35R11 26A33 92C20 92C37 35Q92 PDFBibTeX XMLCite \textit{B. Yin} et al., J. Sci. Comput. 84, No. 1, Paper No. 2, 22 p. (2020; Zbl 1445.65036) Full Text: DOI arXiv
An, Jing; Li, Huiyuan; Zhang, Zhimin Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains. (English) Zbl 1465.65155 Numer. Algorithms 84, No. 2, 427-455 (2020). MSC: 65N35 65N25 65N15 31A30 PDFBibTeX XMLCite \textit{J. An} et al., Numer. Algorithms 84, No. 2, 427--455 (2020; Zbl 1465.65155) Full Text: DOI arXiv
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. (English) Zbl 1434.65291 SIAM J. Sci. Comput. 42, No. 2, A849-A877 (2020). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 35R11 33C45 65N30 PDFBibTeX XMLCite \textit{S. Chen} et al., SIAM J. Sci. Comput. 42, No. 2, A849--A877 (2020; Zbl 1434.65291) Full Text: DOI
Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin A new finite element approach for the Dirichlet eigenvalue problem. (English) Zbl 1464.65189 Appl. Math. Lett. 105, Article ID 106295, 5 p. (2020). MSC: 65N30 65N25 PDFBibTeX XMLCite \textit{W. Xiao} et al., Appl. Math. Lett. 105, Article ID 106295, 5 p. (2020; Zbl 1464.65189) Full Text: DOI arXiv
Du, Yu; Wu, Haijun; Zhang, Zhimin Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number. (English) Zbl 1434.65251 J. Comput. Appl. Math. 372, Article ID 112731, 16 p. (2020). MSC: 65N30 65N15 65N12 35J05 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Comput. Appl. Math. 372, Article ID 112731, 16 p. (2020; Zbl 1434.65251) Full Text: DOI
He, Wen-ming; Lin, Runchang; Zhang, Zhimin Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems. (English) Zbl 1434.65258 J. Comput. Appl. Math. 372, Article ID 112715, 19 p. (2020). MSC: 65N30 65N12 35J15 65B05 65M80 PDFBibTeX XMLCite \textit{W.-m. He} et al., J. Comput. Appl. Math. 372, Article ID 112715, 19 p. (2020; Zbl 1434.65258) Full Text: DOI
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A new \(P_1\) weak Galerkin method for the biharmonic equation. (English) Zbl 1427.65342 J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020). MSC: 65N15 65N30 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{X. Ye} et al., J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020; Zbl 1427.65342) Full Text: DOI
Zhang, Qian; Zhang, Zhimin Curl-curl conforming elements on tetrahedra. arXiv:2007.10421 Preprint, arXiv:2007.10421 [math.NA] (2020). MSC: 65N30 35Q60 65N15 35B45 BibTeX Cite \textit{Q. Zhang} and \textit{Z. Zhang}, ``Curl-curl conforming elements on tetrahedra'', Preprint, arXiv:2007.10421 [math.NA] (2020) Full Text: arXiv OA License
An, Jing; Cao, Waixiang; Zhang, Zhimin An efficient spectral Petrov-Galerkin method for nonlinear Hamiltonian systems. (English) Zbl 1473.65228 Commun. Comput. Phys. 26, No. 5, 1249-1273 (2019). MSC: 65M70 65M15 65N30 PDFBibTeX XMLCite \textit{J. An} et al., Commun. Comput. Phys. 26, No. 5, 1249--1273 (2019; Zbl 1473.65228) Full Text: DOI
Li, Dongfang; Cao, Waixiang; Zhang, Chengjian; Zhang, Zhimin Optimal error estimates of a linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki equations. (English) Zbl 1473.65310 Commun. Comput. Phys. 26, No. 3, 838-854 (2019). MSC: 65N30 65N12 65N15 35B45 PDFBibTeX XMLCite \textit{D. Li} et al., Commun. Comput. Phys. 26, No. 3, 838--854 (2019; Zbl 1473.65310) Full Text: DOI
Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin The weak Galerkin method for elliptic eigenvalue problems. (English) Zbl 1473.65284 Commun. Comput. Phys. 26, No. 1, 160-191 (2019). MSC: 65N25 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{Q. Zhai} et al., Commun. Comput. Phys. 26, No. 1, 160--191 (2019; Zbl 1473.65284) Full Text: DOI
Deng, Beichuan; Zhang, Zhimin; Zhao, Xuan Superconvergence points for the spectral interpolation of Riesz fractional derivatives. (English) Zbl 1434.65292 J. Sci. Comput. 81, No. 3, 1577-1601 (2019). MSC: 65N35 65N15 26A33 41A05 41A10 35R11 33C45 PDFBibTeX XMLCite \textit{B. Deng} et al., J. Sci. Comput. 81, No. 3, 1577--1601 (2019; Zbl 1434.65292) Full Text: DOI arXiv
Li, Huiyuan; Shan, Weikun; Zhang, Zhimin \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations. (English) Zbl 1449.65334 Commun. Appl. Math. Comput. 1, No. 3, 403-434 (2019). MSC: 65N35 41A10 PDFBibTeX XMLCite \textit{H. Li} et al., Commun. Appl. Math. Comput. 1, No. 3, 403--434 (2019; Zbl 1449.65334) Full Text: DOI
Sun, Jiguang; Zhang, Qian; Zhang, Zhimin A curl-conforming weak Galerkin method for the quad-curl problem. (English) Zbl 1427.65378 BIT 59, No. 4, 1093-1114 (2019). MSC: 65N30 35Q60 65N15 35B45 78A46 76W05 PDFBibTeX XMLCite \textit{J. Sun} et al., BIT 59, No. 4, 1093--1114 (2019; Zbl 1427.65378) Full Text: DOI
Hu, Jun; Zhang, Shangyou; Zhang, Zhimin On the \(2p\)th-order of convergence of the Galerkin difference method. (English) Zbl 1428.65043 SIAM J. Numer. Anal. 57, No. 5, 2189-2199 (2019). MSC: 65M60 65D07 65M12 65M15 35P15 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM J. Numer. Anal. 57, No. 5, 2189--2199 (2019; Zbl 1428.65043) Full Text: DOI
Duan, S. Y.; Zhang, Z. M.; Han, X.; Liu, G. R. On stress concentration on edges of defect holes in plates and critical issues on filling-in repairs. (English) Zbl 1489.74017 Int. J. Comput. Methods 16, No. 8, Article ID 1841001, 22 p. (2019). MSC: 74G70 74K20 74S05 74R99 PDFBibTeX XMLCite \textit{S. Y. Duan} et al., Int. J. Comput. Methods 16, No. 8, Article ID 1841001, 22 p. (2019; Zbl 1489.74017) Full Text: DOI
Zhang, Qian; Wang, Lixiu; Zhang, Zhimin \(H(\mathrm{curl}^2)\)-conforming finite elements in 2 dimensions and applications to the quad-curl problem. (English) Zbl 1422.65420 SIAM J. Sci. Comput. 41, No. 3, A1527-A1547 (2019). MSC: 65N30 35Q60 65N15 35B45 65N12 PDFBibTeX XMLCite \textit{Q. Zhang} et al., SIAM J. Sci. Comput. 41, No. 3, A1527--A1547 (2019; Zbl 1422.65420) Full Text: DOI arXiv
Deng, Beichuan; Zhang, Jiwei; Zhang, Zhimin Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs. (English) Zbl 1426.65188 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 1061-1082 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 65M15 26A33 41A05 41A10 34B24 65L60 35R11 65N15 PDFBibTeX XMLCite \textit{B. Deng} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 1061--1082 (2019; Zbl 1426.65188) Full Text: DOI arXiv
Li, Dongfang; Wu, Chengda; Zhang, Zhimin Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction. (English) Zbl 1418.65179 J. Sci. Comput. 80, No. 1, 403-419 (2019). MSC: 65N30 65N12 35K61 PDFBibTeX XMLCite \textit{D. Li} et al., J. Sci. Comput. 80, No. 1, 403--419 (2019; Zbl 1418.65179) Full Text: DOI
Du, Yu; Zhang, Zhimin Supercloseness of linear DG-FEM and its superconvergence based on the polynomial preserving recovery for Helmholtz equation. (English) Zbl 1422.65349 J. Sci. Comput. 79, No. 3, 1713-1736 (2019). MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Zhang}, J. Sci. Comput. 79, No. 3, 1713--1736 (2019; Zbl 1422.65349) Full Text: DOI
Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. (English) Zbl 1419.65128 J. Sci. Comput. 79, No. 2, 914-934 (2019). MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 65N25 65N55 PDFBibTeX XMLCite \textit{Q. Zhai} et al., J. Sci. Comput. 79, No. 2, 914--934 (2019; Zbl 1419.65128) Full Text: DOI arXiv
Wang, Lixiu; Zhang, Qian; Zhang, Zhimin Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell’s equations. (English) Zbl 1417.65208 J. Sci. Comput. 78, No. 2, 1207-1230 (2019). MSC: 65N30 35Q60 65N15 35B45 65N12 78A25 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Sci. Comput. 78, No. 2, 1207--1230 (2019; Zbl 1417.65208) Full Text: DOI
Ma, Suna; Li, Huiyuan; Zhang, Zhimin Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space. (English) Zbl 1416.65481 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1589-1615 (2019). MSC: 65N35 65N25 35Q40 65N15 33C10 PDFBibTeX XMLCite \textit{S. Ma} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1589--1615 (2019; Zbl 1416.65481) Full Text: DOI
Du, Yu; Zhang, Lu; Zhang, Zhimin Convergence analysis of a discontinuous Galerkin method for wave equations in second-order form. (English) Zbl 1450.65119 SIAM J. Numer. Anal. 57, No. 1, 238-265 (2019). Reviewer: Zhiming Chen (Beijing) MSC: 65M60 65N30 65M12 65M15 35B45 35L10 PDFBibTeX XMLCite \textit{Y. Du} et al., SIAM J. Numer. Anal. 57, No. 1, 238--265 (2019; Zbl 1450.65119) Full Text: DOI
Sun, Zhi-Zhong; Zhang, Jiwei; Zhang, Zhimin Optimal error estimates in numerical solution of time fractional Schrödinger equations on unbounded domains. (English) Zbl 1468.65111 East Asian J. Appl. Math. 8, No. 4, 634-655 (2018). MSC: 65M06 65M15 65M12 35Q41 35R11 PDFBibTeX XMLCite \textit{Z.-Z. Sun} et al., East Asian J. Appl. Math. 8, No. 4, 634--655 (2018; Zbl 1468.65111) Full Text: DOI Link
Cao, Waixiang; Zhang, Zhimin Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations. (English) Zbl 1407.65154 J. Sci. Comput. 77, No. 3, 1402-1423 (2018). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{W. Cao} and \textit{Z. Zhang}, J. Sci. Comput. 77, No. 3, 1402--1423 (2018; Zbl 1407.65154) Full Text: DOI
Ma, Suna; Li, Huiyuan; Zhang, Zhimin Efficient spectral methods for some singular eigenvalue problems. (English) Zbl 1407.65311 J. Sci. Comput. 77, No. 1, 657-688 (2018). MSC: 65N35 65N25 35Q40 65M12 PDFBibTeX XMLCite \textit{S. Ma} et al., J. Sci. Comput. 77, No. 1, 657--688 (2018; Zbl 1407.65311) Full Text: DOI
Guo, Hailong; Yang, Xu; Zhang, Zhimin Superconvergence of partially penalized immersed finite element methods. (English) Zbl 1462.65187 IMA J. Numer. Anal. 38, No. 4, 2123-2144 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{H. Guo} et al., IMA J. Numer. Anal. 38, No. 4, 2123--2144 (2018; Zbl 1462.65187) Full Text: DOI arXiv
Li, Dongfang; Zhang, Jiwei; Zhang, Zhimin Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations. (English) Zbl 1397.65173 J. Sci. Comput. 76, No. 2, 848-866 (2018). MSC: 65M30 35R11 35K57 65M06 65M12 35K55 65M15 PDFBibTeX XMLCite \textit{D. Li} et al., J. Sci. Comput. 76, No. 2, 848--866 (2018; Zbl 1397.65173) Full Text: DOI
An, Jing; Shen, Jie; Zhang, Zhimin The spectral-Galerkin approximation of nonlinear eigenvalue problems. (English) Zbl 1394.65137 Appl. Numer. Math. 131, 1-15 (2018). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N30 65N35 65N15 PDFBibTeX XMLCite \textit{J. An} et al., Appl. Numer. Math. 131, 1--15 (2018; Zbl 1394.65137) Full Text: DOI
Sun, Ming; Li, Jichun; Wang, Peizhen; Zhang, Zhimin Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell’s equations. (English) Zbl 1388.78012 J. Sci. Comput. 75, No. 1, 510-535 (2018). MSC: 78M10 65N30 65N12 78M25 PDFBibTeX XMLCite \textit{M. Sun} et al., J. Sci. Comput. 75, No. 1, 510--535 (2018; Zbl 1388.78012) Full Text: DOI