Gao, Hecong; Liang, Hui On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1. (English) Zbl 07815391 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2092-2109 (2024). MSC: 65R20 45L05 PDFBibTeX XMLCite \textit{H. Gao} and \textit{H. Liang}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2092--2109 (2024; Zbl 07815391) Full Text: DOI
Zhang, Jin; Ma, Xiaoqi Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh. (English) Zbl 07814911 Calcolo 61, No. 1, Paper No. 17, 29 p. (2024). MSC: 65N30 65N12 65N50 65D32 65F35 76R50 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Ma}, Calcolo 61, No. 1, Paper No. 17, 29 p. (2024; Zbl 07814911) Full Text: DOI arXiv
Zhang, Xinyue; Pan, Liang; Cao, Waixiang An oscillation-free spectral volume method for hyperbolic conservation laws. (English) Zbl 07812562 J. Sci. Comput. 99, No. 1, Paper No. 8, 26 p. (2024). MSC: 65M08 65M60 65M70 65M06 65L06 65N08 65N30 65N35 65M12 65M15 35L65 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sci. Comput. 99, No. 1, Paper No. 8, 26 p. (2024; Zbl 07812562) Full Text: DOI arXiv
Tian, Yan; Liu, Guidong; Kong, Desong Superconvergence points for higher-order derivative interpolation and its applications in spectral collocation method. (English) Zbl 07808095 J. Math. Anal. Appl. 534, No. 2, Article ID 128085, 19 p. (2024). MSC: 65N35 65D32 65D05 65N12 42C10 41A25 34M46 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Math. Anal. Appl. 534, No. 2, Article ID 128085, 19 p. (2024; Zbl 07808095) Full Text: DOI
Pei, Lifang; Wei, Yifan; Zhang, Chaofeng; Zhang, Jiwei Convergence and superconvergence analysis of a nonconforming finite element variable-time-step BDF2 implicit scheme for linear reaction-diffusion equations. (English) Zbl 07807900 J. Sci. Comput. 98, No. 3, Paper No. 67, 22 p. (2024). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 PDFBibTeX XMLCite \textit{L. Pei} et al., J. Sci. Comput. 98, No. 3, Paper No. 67, 22 p. (2024; Zbl 07807900) Full Text: DOI
Ma, Zheng; Stynes, Martin; Huang, Chengming Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. (English) Zbl 07807778 BIT 64, No. 1, Paper No. 9, 28 p. (2024). MSC: 65L60 65R20 PDFBibTeX XMLCite \textit{Z. Ma} et al., BIT 64, No. 1, Paper No. 9, 28 p. (2024; Zbl 07807778) Full Text: DOI
Yang, Huaijun; Jia, Xu Superconvergence analysis of the bilinear-constant scheme for two-dimensional incompressible convective Brinkman-Forchheimer equations. (English) Zbl 07798412 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024). MSC: 65N30 65M60 76M10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024; Zbl 07798412) Full Text: DOI
Wang, Lingli; Li, Meng; Peng, Shanshan Conservative \(EQ_1^{rot}\) nonconforming FEM for nonlinear Schrödinger equation with wave operator. (English) Zbl 07798409 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23057, 24 p. (2024). MSC: 65M60 65M06 PDFBibTeX XMLCite \textit{L. Wang} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23057, 24 p. (2024; Zbl 07798409) Full Text: DOI
Wang, Ran; Shi, Dongyang Superconvergence analysis of an \(H^1\)-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity. (English) Zbl 07793590 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107787, 11 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35R09 76Q05 76X05 82D10 35Q35 PDFBibTeX XMLCite \textit{R. Wang} and \textit{D. Shi}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107787, 11 p. (2024; Zbl 07793590) Full Text: DOI
Xu, Minqiang; Zou, Qingsong A Hessian recovery based linear finite element method for molecular beam epitaxy growth model with slope selection. (English) Zbl 07792913 Adv. Appl. Math. Mech. 16, No. 1, 1-23 (2024). MSC: 65N30 PDFBibTeX XMLCite \textit{M. Xu} and \textit{Q. Zou}, Adv. Appl. Math. Mech. 16, No. 1, 1--23 (2024; Zbl 07792913) Full Text: DOI
Yang, Huaijun; Jia, Xu Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation. (English) Zbl 07784359 Comput. Math. Appl. 154, 199-211 (2024). MSC: 65N30 65M60 65M12 65M06 35J40 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Comput. Math. Appl. 154, 199--211 (2024; Zbl 07784359) Full Text: DOI
Shi, Dongyang; Zhang, Lingen Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation. (English) Zbl 07784328 Comput. Math. Appl. 153, 81-93 (2024). MSC: 65N30 65M15 65M60 65M06 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Zhang}, Comput. Math. Appl. 153, 81--93 (2024; Zbl 07784328) Full Text: DOI
Cui, Yuanquan; Jia, Yuntao; Zhang, Jinrui; Niu, Jing A new recovery based \(C^0\) element method for fourth-order equations. (English) Zbl 07766553 Appl. Math. Lett. 147, Article ID 108858, 8 p. (2024). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{Y. Cui} et al., Appl. Math. Lett. 147, Article ID 108858, 8 p. (2024; Zbl 07766553) Full Text: DOI
Allouch, Chafik Fast and accurate solvers for weakly singular Volterra integral equations in weighted spaces. (English) Zbl 1525.65133 J. Comput. Appl. Math. 438, Article ID 115535, 19 p. (2024). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{C. Allouch}, J. Comput. Appl. Math. 438, Article ID 115535, 19 p. (2024; Zbl 1525.65133) Full Text: DOI
Meng, Jian; Mei, Liquan; Fei, Mingfa \( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form. (English) Zbl 1519.65050 J. Comput. Appl. Math. 436, Article ID 115395, 17 p. (2024). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{J. Meng} et al., J. Comput. Appl. Math. 436, Article ID 115395, 17 p. (2024; Zbl 1519.65050) Full Text: DOI
Xu, Changling; Li, Huilai Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems. (English) Zbl 07804369 Electron. Res. Arch. 31, No. 8, 4818-4842 (2023). MSC: 65N55 65N50 65M60 65M06 65N30 65M12 65M15 35R09 49M25 49K20 93C20 PDFBibTeX XMLCite \textit{C. Xu} and \textit{H. Li}, Electron. Res. Arch. 31, No. 8, 4818--4842 (2023; Zbl 07804369) Full Text: DOI
Arrai, Mohamed; Allouch, Chafik; Bouda, Hamza Fast discrete solvers for nonlinear Hammerstien equations. (English) Zbl 07796774 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 49, No. 2, 193-209 (2023). MSC: 41A10 45G10 47H30 65R20 PDFBibTeX XMLCite \textit{M. Arrai} et al., Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 49, No. 2, 193--209 (2023; Zbl 07796774) Full Text: DOI
Baccouch, Mahboub A posteriori error estimates for a local discontinuous Galerkin approximation of semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 07793825 Int. J. Numer. Anal. Model. 20, No. 6, 772-804 (2023). MSC: 65N12 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Numer. Anal. Model. 20, No. 6, 772--804 (2023; Zbl 07793825) Full Text: DOI
Baccouch, Mahboub A posteriori error analysis for an ultra-weak discontinuous Galerkin approximations of nonlinear second-order two-point boundary-value problems. (English) Zbl 07793818 Int. J. Numer. Anal. Model. 20, No. 5, 618-646 (2023). MSC: 65L10 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Numer. Anal. Model. 20, No. 5, 618--646 (2023; Zbl 07793818) Full Text: DOI
Allouch, C.; Arrai, M.; Bouda, H.; Tahrichi, M. Legendre superconvergent degenerate kernel and Nyström methods for nonlinear integral equations. (English) Zbl 07786442 Ukr. Math. J. 75, No. 5, 663-681 (2023); and Ukr. Mat. Zh. 75, No. 5, 579-595 (2023). Reviewer: Eduardo Cuesta (Valladolid) MSC: 65R20 45G05 47H30 PDFBibTeX XMLCite \textit{C. Allouch} et al., Ukr. Math. J. 75, No. 5, 663--681 (2023; Zbl 07786442) Full Text: DOI
Zhou, Xinchen; Niu, Hexin; Meng, Zhaoliang; Su, Jing Superconvergence of some nonconforming brick elements for the 3D Stokes problem. (English) Zbl 07783925 Comput. Math. Appl. 151, 50-66 (2023). MSC: 65N30 65N12 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{X. Zhou} et al., Comput. Math. Appl. 151, 50--66 (2023; Zbl 07783925) Full Text: DOI
Wang, Zhongchi; Li, Meng Superconvergence analysis of anisotropic finite element method for the time fractional substantial diffusion equation with smooth and nonsmooth solutions. (English) Zbl 07782125 Math. Methods Appl. Sci. 46, No. 5, 5545-5560 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{M. Li}, Math. Methods Appl. Sci. 46, No. 5, 5545--5560 (2023; Zbl 07782125) Full Text: DOI
Docampo-Sánchez, Xulia; Ryan, Jennifer K. Magic SIAC Toolbox: a codebase of effective, efficient, and flexible filters. (English) Zbl 07781691 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 75-91 (2023). MSC: 65-04 65N30 65D07 65D32 65N50 65N12 35R60 PDFBibTeX XMLCite \textit{X. Docampo-Sánchez} and \textit{J. K. Ryan}, Springer Proc. Math. Stat. 432, 75--91 (2023; Zbl 07781691) Full Text: DOI
Peng, Shanshan; Li, Meng; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua Convergence and superconvergence analysis for nonlinear delay reaction-diffusion system with nonconforming finite element. (English) Zbl 07779728 Numer. Methods Partial Differ. Equations 39, No. 1, 716-743 (2023). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35K57 35R07 26A33 35R11 PDFBibTeX XMLCite \textit{S. Peng} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 716--743 (2023; Zbl 07779728) Full Text: DOI
Wei, Yabing; Zhao, Yanmin; Chen, Hu; Wang, Fenling; Lü, Shujuan On the convergence and superconvergence for a class of two-dimensional time fractional reaction-subdiffusion equations. (English) Zbl 07779718 Numer. Methods Partial Differ. Equations 39, No. 1, 481-500 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wei} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 481--500 (2023; Zbl 07779718) Full Text: DOI
Wang, Junjun Superconvergence analysis of an energy stable scheme with three step backward differential formula-finite element method for nonlinear reaction-diffusion equation. (English) Zbl 07779698 Numer. Methods Partial Differ. Equations 39, No. 1, 30-44 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 65N15 PDFBibTeX XMLCite \textit{J. Wang}, Numer. Methods Partial Differ. Equations 39, No. 1, 30--44 (2023; Zbl 07779698) Full Text: DOI
Shi, Dongyang; Zhang, Houchao Superconvergence analysis of a conservative mixed finite element method for the nonlinear Klein-Gordon-Schrödinger equations. (English) Zbl 07777340 Numer. Methods Partial Differ. Equations 39, No. 4, 2909-2934 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Zhang}, Numer. Methods Partial Differ. Equations 39, No. 4, 2909--2934 (2023; Zbl 07777340) Full Text: DOI
Xu, Minqiang; Lin, Runchang; Zou, Qingsong A \(C^0\) linear finite element method for a second-order elliptic equation in non-divergence form with Cordes coefficients. (English) Zbl 07777005 Numer. Methods Partial Differ. Equations 39, No. 3, 2244-2269 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Xu} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2244--2269 (2023; Zbl 07777005) Full Text: DOI arXiv
Ranocha, Hendrik A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators. (English) Zbl 07771283 J. Comput. Phys. 491, Article ID 112367, 6 p. (2023). MSC: 65Mxx 65Nxx 35Lxx PDFBibTeX XMLCite \textit{H. Ranocha}, J. Comput. Phys. 491, Article ID 112367, 6 p. (2023; Zbl 07771283) Full Text: DOI arXiv
Schneider, Matti On the effectiveness of the Moulinec-Suquet discretization for composite materials. (English) Zbl 07770642 Int. J. Numer. Methods Eng. 124, No. 14, 3191-3218 (2023). MSC: 74S25 74Q05 74E30 65N12 PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 124, No. 14, 3191--3218 (2023; Zbl 07770642) Full Text: DOI OA License
Schneider, Matti; Wicht, Daniel Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials. (English) Zbl 07769192 Int. J. Numer. Methods Eng. 124, No. 4, 959-978 (2023). MSC: 65Mxx 74Qxx 65Nxx PDFBibTeX XMLCite \textit{M. Schneider} and \textit{D. Wicht}, Int. J. Numer. Methods Eng. 124, No. 4, 959--978 (2023; Zbl 07769192) Full Text: DOI OA License
Xu, Minqiang; Liu, Kai; Zhang, Lei Analysis of the MAC scheme for the three dimensional Stokes problem. (English) Zbl 1528.76052 Appl. Numer. Math. 193, 131-147 (2023). MSC: 76M12 65N08 76D07 PDFBibTeX XMLCite \textit{M. Xu} et al., Appl. Numer. Math. 193, 131--147 (2023; Zbl 1528.76052) Full Text: DOI
Zha, Yuanyuan; Li, Zhe; Yi, Lijun Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems. (English) Zbl 1528.65038 Appl. Numer. Math. 193, 67-82 (2023). MSC: 65L60 65L10 65L20 PDFBibTeX XMLCite \textit{Y. Zha} et al., Appl. Numer. Math. 193, 67--82 (2023; Zbl 1528.65038) Full Text: DOI
Galindo-Olarte, Andrés; Huang, Juntao; Ryan, Jennifer; Cheng, Yingda Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. (English) Zbl 07760988 BIT 63, No. 4, Paper No. 52, 34 p. (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M60 65M20 65L06 65M12 65M15 82D10 78A25 35Q83 35Q60 35R60 PDFBibTeX XMLCite \textit{A. Galindo-Olarte} et al., BIT 63, No. 4, Paper No. 52, 34 p. (2023; Zbl 07760988) Full Text: DOI arXiv
Shi, Dongyang; Ma, He Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers’ type nonlinearity. (English) Zbl 07758892 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107440, 12 p. (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Ma}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107440, 12 p. (2023; Zbl 07758892) Full Text: DOI
Wang, Lu; Liang, Hui Superconvergence and postprocessing of collocation methods for fractional differential equations. (English) Zbl 07751610 J. Sci. Comput. 97, No. 2, Paper No. 29, 29 p. (2023). MSC: 65R20 65L05 34A08 PDFBibTeX XMLCite \textit{L. Wang} and \textit{H. Liang}, J. Sci. Comput. 97, No. 2, Paper No. 29, 29 p. (2023; Zbl 07751610) Full Text: DOI
Nigam, Ritu; Nahid, Nilofar; Chakraborty, Samiran; Nelakanti, Gnaneshwar Superconvergence results for non-linear Hammerstein integral equations on unbounded domain. (English) Zbl 07751249 Numer. Algorithms 94, No. 3, 1243-1279 (2023). MSC: 65R20 PDFBibTeX XMLCite \textit{R. Nigam} et al., Numer. Algorithms 94, No. 3, 1243--1279 (2023; Zbl 07751249) Full Text: DOI
Wang, Yue; Gao, Fuzheng; Cui, Jintao Superconvergence of the lowest-order weak Galerkin finite element method for elliptic interface problems. (English) Zbl 07750317 Comput. Math. Appl. 149, 203-210 (2023). MSC: 65N30 65N15 35J25 35J15 65N12 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 149, 203--210 (2023; Zbl 07750317) Full Text: DOI
Liu, Jinghong; Li, Qiyong; Xiong, Zhiguang; Zhu, Qiding \(L^\infty\)- and \(L^2\)-norms superconvergence of the tetrahedral quadratic finite element. (English) Zbl 07750307 Comput. Math. Appl. 149, 71-74 (2023). MSC: 65N30 65N12 35J25 65N15 35J05 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Math. Appl. 149, 71--74 (2023; Zbl 07750307) Full Text: DOI
Cockburn, Bernardo Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems. (English) Zbl 07749865 Japan J. Ind. Appl. Math. 40, No. 3, 1637-1676 (2023). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65M60 65-02 65N12 65N15 35L65 35J15 PDFBibTeX XMLCite \textit{B. Cockburn}, Japan J. Ind. Appl. Math. 40, No. 3, 1637--1676 (2023; Zbl 07749865) Full Text: DOI
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin Two families of second-order fractional numerical formulas and applications to fractional differential equations. (English) Zbl 1522.34028 Fract. Calc. Appl. Anal. 26, No. 4, 1842-1867 (2023). MSC: 34A08 26A33 41A55 65D32 PDFBibTeX XMLCite \textit{B. Yin} et al., Fract. Calc. Appl. Anal. 26, No. 4, 1842--1867 (2023; Zbl 1522.34028) Full Text: DOI
Liang, Conggang Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping. (English) Zbl 1520.65068 Appl. Anal. 102, No. 12, 3489-3502 (2023). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{C. Liang}, Appl. Anal. 102, No. 12, 3489--3502 (2023; Zbl 1520.65068) Full Text: DOI
Muga, Ignacio; Rojas, Sergio; Vega, Patrick An adaptive superconvergent mixed finite element method based on local residual minimization. (English) Zbl 1528.65116 SIAM J. Numer. Anal. 61, No. 5, 2084-2105 (2023). MSC: 65N30 65N50 65N12 65N15 65N22 PDFBibTeX XMLCite \textit{I. Muga} et al., SIAM J. Numer. Anal. 61, No. 5, 2084--2105 (2023; Zbl 1528.65116) Full Text: DOI arXiv
Wang, Dan; Li, Meng; Lu, Yu Unconditionally convergent and superconvergent analysis of second-order weighted IMEX FEMs for nonlinear Ginzburg-Landau equation. (English) Zbl 07741326 Comput. Math. Appl. 146, 84-105 (2023). MSC: 65M60 65M12 65M15 65M06 35Q56 PDFBibTeX XMLCite \textit{D. Wang} et al., Comput. Math. Appl. 146, 84--105 (2023; Zbl 07741326) Full Text: DOI
Fang, Yuzhi; Feng, Yuan; Xu, Minqiang; Zhang, Lei Gradient recovery based finite element methods for the two-dimensional quad-curl problem. (English) Zbl 1522.65208 Appl. Math. Lett. 146, Article ID 108790, 6 p. (2023). MSC: 65N30 65N12 65N15 78M10 35Q60 PDFBibTeX XMLCite \textit{Y. Fang} et al., Appl. Math. Lett. 146, Article ID 108790, 6 p. (2023; Zbl 1522.65208) Full Text: DOI
Chen, Fang; Li, Meng; Zhao, Yanmin; Tang, Yifa Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg-Landau equation with Caputo derivative. (English) Zbl 07735387 Comput. Appl. Math. 42, No. 6, Paper No. 271, 32 p. (2023). MSC: 65L60 65N30 PDFBibTeX XMLCite \textit{F. Chen} et al., Comput. Appl. Math. 42, No. 6, Paper No. 271, 32 p. (2023; Zbl 07735387) Full Text: DOI
Li, Minghao; Xiao, Liuchao; Li, Zhenzhen The supercloseness property of the Stokes projection for the transient Navier-Stokes equations and global superconvergence analysis. (The supercloseness property of the stoke projection for the transient Navier-Stokes equations and global superconvergence analysis.) (English) Zbl 1518.65132 J. Appl. Math. Comput. 69, No. 2, 2041-2057 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Appl. Math. Comput. 69, No. 2, 2041--2057 (2023; Zbl 1518.65132) Full Text: DOI
Baccouch, Mahboub A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems. (English) Zbl 1518.65076 J. Appl. Math. Comput. 69, No. 2, 1507-1539 (2023). MSC: 65L10 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Appl. Math. Comput. 69, No. 2, 1507--1539 (2023; Zbl 1518.65076) Full Text: DOI
Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation. (English) Zbl 1520.65069 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107333, 21 p. (2023). MSC: 65M60 35K57 65M12 PDFBibTeX XMLCite \textit{S. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107333, 21 p. (2023; Zbl 1520.65069) Full Text: DOI
Xiong, Chunguang; Xie, Manting; Luo, Fusheng; Su, Hongling A posteriori and superconvergence error analysis for finite element approximation of the Steklov eigenvalue problem. (English) Zbl 07731298 Comput. Math. Appl. 144, 90-99 (2023). MSC: 65N25 65N30 35P15 65N15 65N55 PDFBibTeX XMLCite \textit{C. Xiong} et al., Comput. Math. Appl. 144, 90--99 (2023; Zbl 07731298) Full Text: DOI
Liu, Nuodi; Chen, Yanping; Zhou, Jianwei; Huang, Yunqing Superconvergence analysis for time-domain Maxwell’s equations in a Havriliak-Negami dispersive medium. (English) Zbl 07727130 Appl. Math. Lett. 145, Article ID 108762, 10 p. (2023). MSC: 65Mxx 65Nxx 78Mxx PDFBibTeX XMLCite \textit{N. Liu} et al., Appl. Math. Lett. 145, Article ID 108762, 10 p. (2023; Zbl 07727130) Full Text: DOI
Shi, Dongyang; Zhang, Sihui Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory. (English) Zbl 07727104 Appl. Math. Lett. 145, Article ID 108726, 9 p. (2023). MSC: 65Mxx 65Nxx 35Kxx PDFBibTeX XMLCite \textit{D. Shi} and \textit{S. Zhang}, Appl. Math. Lett. 145, Article ID 108726, 9 p. (2023; Zbl 07727104) Full Text: DOI
Lu, Nan; Cai, Wenjun; Bo, Yonghui; Wang, Yushun Superconvergence of projection integrators for conservative system. (English) Zbl 07715224 J. Comput. Phys. 490, Article ID 112281, 25 p. (2023). MSC: 65Lxx 65Pxx 65Mxx PDFBibTeX XMLCite \textit{N. Lu} et al., J. Comput. Phys. 490, Article ID 112281, 25 p. (2023; Zbl 07715224) Full Text: DOI
Arrai, Mohamed; Allouch, Chafik; Bouda, Hamza Spectral methods for Hammerstein integral equations with nonsmooth kernels. (English) Zbl 07714962 Int. J. Comput. Methods 20, No. 4, Article ID 2250052, 21 p. (2023). MSC: 65-XX 45-XX PDFBibTeX XMLCite \textit{M. Arrai} et al., Int. J. Comput. Methods 20, No. 4, Article ID 2250052, 21 p. (2023; Zbl 07714962) Full Text: DOI
Baccouch, Mahboub Superconvergence of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07714948 Int. J. Comput. Methods 20, No. 2, Article ID 2250042, 23 p. (2023). MSC: 65L05 65L20 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Comput. Methods 20, No. 2, Article ID 2250042, 23 p. (2023; Zbl 07714948) Full Text: DOI
Li, Yuping; Liang, Hui Continuous piecewise polynomial collocation methods for generalized auto-convolution Volterra integral equations. (English) Zbl 07714669 J. Integral Equations Appl. 35, No. 1, 41-59 (2023). MSC: 65R20 PDFBibTeX XMLCite \textit{Y. Li} and \textit{H. Liang}, J. Integral Equations Appl. 35, No. 1, 41--59 (2023; Zbl 07714669) Full Text: DOI Link
Bercovici, Hari; Wang, Jiun-Chau; Zhong, Ping Superconvergence and regularity of densities in free probability. (English) Zbl 1528.46052 Trans. Am. Math. Soc. 376, No. 7, 4901-4956 (2023). MSC: 46L54 PDFBibTeX XMLCite \textit{H. Bercovici} et al., Trans. Am. Math. Soc. 376, No. 7, 4901--4956 (2023; Zbl 1528.46052) Full Text: DOI arXiv
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
Yang, Huaijun Convergence and superconvergence analysis of energy-preserving Crank-Nicolson Galerkin method for the Benjamin-Bona-Mahony equation. (English) Zbl 1524.65617 Int. J. Comput. Math. 100, No. 6, 1212-1227 (2023). MSC: 65M60 65N15 65N30 65M06 65N12 65D05 35Q53 PDFBibTeX XMLCite \textit{H. Yang}, Int. J. Comput. Math. 100, No. 6, 1212--1227 (2023; Zbl 1524.65617) Full Text: DOI
Singh, Gautam; Natesan, Srinivasan; Sendur, Ali Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection-diffusion-reaction problems. (English) Zbl 1524.65858 Int. J. Comput. Math. 100, No. 5, 948-967 (2023). MSC: 65N30 65N12 65N15 35B25 65D05 35J25 PDFBibTeX XMLCite \textit{G. Singh} et al., Int. J. Comput. Math. 100, No. 5, 948--967 (2023; Zbl 1524.65858) Full Text: DOI
Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation. (English) Zbl 1517.65093 Appl. Math. Lett. 140, Article ID 108569, 12 p. (2023). MSC: 65M60 65M06 65N30 65H10 65D05 65M12 74N05 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wei} et al., Appl. Math. Lett. 140, Article ID 108569, 12 p. (2023; Zbl 1517.65093) Full Text: DOI
Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang Unconditional superconvergence analysis of nonconforming \(EQ_1^{rot}\) finite element method for the nonlinear coupled predator-prey equations. (English) Zbl 07699025 Appl. Numer. Math. 185, 571-591 (2023). MSC: 65Mxx 65Nxx 35Kxx PDFBibTeX XMLCite \textit{S. Zhang} et al., Appl. Numer. Math. 185, 571--591 (2023; Zbl 07699025) Full Text: DOI
Xu, Chao; Pei, Lifang Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers’ equation. (English) Zbl 07698995 Appl. Numer. Math. 185, 1-17 (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{C. Xu} and \textit{L. Pei}, Appl. Numer. Math. 185, 1--17 (2023; Zbl 07698995) Full Text: DOI
Yang, Bohan; Rui, Hongxing A robust discrete scheme based on staggered grids for poroelastic-elastic coupled problems. (English) Zbl 1516.65116 J. Sci. Comput. 95, No. 1, Paper No. 25, 41 p. (2023). MSC: 65N06 65M06 65N12 65N15 65N55 65N50 65D05 74F10 74L10 74S20 35Q74 PDFBibTeX XMLCite \textit{B. Yang} and \textit{H. Rui}, J. Sci. Comput. 95, No. 1, Paper No. 25, 41 p. (2023; Zbl 1516.65116) Full Text: DOI
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
Yi, Lijun; Zhang, Mingzhu; Mao, Xinyu Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations. (English) Zbl 1524.65989 J. Comput. Appl. Math. 427, Article ID 115140, 20 p. (2023). MSC: 65R20 45D05 45J05 65L60 PDFBibTeX XMLCite \textit{L. Yi} et al., J. Comput. Appl. Math. 427, Article ID 115140, 20 p. (2023; Zbl 1524.65989) Full Text: DOI
Chakraborty, Samiran; Agrawal, Shivam Kumar; Nelakanti, Gnaneshwar Superconvergent multi-Galerkin method for nonlinear Fredholm-Hammerstein integral equations. (English) Zbl 1524.65961 J. Comput. Appl. Math. 426, Article ID 115092, 13 p. (2023). MSC: 65R20 45B05 45G10 PDFBibTeX XMLCite \textit{S. Chakraborty} et al., J. Comput. Appl. Math. 426, Article ID 115092, 13 p. (2023; Zbl 1524.65961) Full Text: DOI
Shi, Dongyang; Jian, Peng Superconvergence analysis of finite element method for nonlinear semiconductor device problem. (English) Zbl 07692004 Comput. Math. Appl. 138, 1-22 (2023). MSC: 65N30 65M60 65M12 65M06 82D37 PDFBibTeX XMLCite \textit{D. Shi} and \textit{P. Jian}, Comput. Math. Appl. 138, 1--22 (2023; Zbl 07692004) Full Text: DOI
Cheng, Yao; Jiang, Shan; Stynes, Martin Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. (English) Zbl 1515.65286 Math. Comput. 92, No. 343, 2065-2095 (2023). MSC: 65N30 65N50 65N15 65N12 35B25 35J25 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Math. Comput. 92, No. 343, 2065--2095 (2023; Zbl 1515.65286) Full Text: DOI arXiv
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. (English) Zbl 1514.65096 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 671-691 (2023). MSC: 65L60 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{M. Zhang} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 671--691 (2023; Zbl 1514.65096) Full Text: DOI
Allouch, C.; Sbibih, D.; Tahrichi, M. Spectral approximation methods for nonlinear integral equations with non-smooth kernels. (English) Zbl 1514.45008 Calcolo 60, No. 2, Paper No. 23, 30 p. (2023). MSC: 45L05 65R20 PDFBibTeX XMLCite \textit{C. Allouch} et al., Calcolo 60, No. 2, Paper No. 23, 30 p. (2023; Zbl 1514.45008) Full Text: DOI
Zhang, Mingzhu; Yi, Lijun Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. (English) Zbl 1517.65060 J. Sci. Comput. 94, No. 2, Paper No. 31, 41 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65L05 65L60 65L70 65M20 65M60 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{L. Yi}, J. Sci. Comput. 94, No. 2, Paper No. 31, 41 p. (2023; Zbl 1517.65060) Full Text: DOI
Cui, Ming; Li, Yanfei; Yao, Changhui Unconditional superconvergence analysis of energy conserving finite element methods for the nonlinear coupled Klein-Gordon equations. (English) Zbl 1524.65523 Adv. Appl. Math. Mech. 15, No. 3, 602-622 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{M. Cui} et al., Adv. Appl. Math. Mech. 15, No. 3, 602--622 (2023; Zbl 1524.65523) Full Text: DOI
Shi, Dongyang; Zhang, Sihui Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation. (English) Zbl 1511.65106 Appl. Math. Comput. 442, Article ID 127771, 20 p. (2023). MSC: 65M60 65M15 35K05 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{S. Zhang}, Appl. Math. Comput. 442, Article ID 127771, 20 p. (2023; Zbl 1511.65106) Full Text: DOI
McLean, William; Mustapha, Kassem Error profile for discontinuous Galerkin time stepping of parabolic PDEs. (English) Zbl 07676514 Numer. Algorithms 93, No. 1, 157-177 (2023). MSC: 65J08 65M15 PDFBibTeX XMLCite \textit{W. McLean} and \textit{K. Mustapha}, Numer. Algorithms 93, No. 1, 157--177 (2023; Zbl 07676514) Full Text: DOI arXiv
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
Xiang, Shuhuang; Kong, Desong; Liu, Guidong; Wang, Li-Lian Pointwise error estimates and local superconvergence of Jacobi expansions. (English) Zbl 07673302 Math. Comput. 92, No. 342, 1747-1778 (2023). MSC: 65-XX 41A10 41A25 41A50 65N35 65M70 PDFBibTeX XMLCite \textit{S. Xiang} et al., Math. Comput. 92, No. 342, 1747--1778 (2023; Zbl 07673302) Full Text: DOI arXiv
Lu, Yu; Li, Meng Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey-predator problem. (English) Zbl 1524.65577 Comput. Appl. Math. 42, No. 3, Paper No. 111, 38 p. (2023). MSC: 65M60 65M06 65N30 65M22 65M12 26A33 35R11 92D25 35Q92 65M15 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{M. Li}, Comput. Appl. Math. 42, No. 3, Paper No. 111, 38 p. (2023; Zbl 1524.65577) Full Text: DOI
Chen, Gang; Han, Daozhi; Singler, John R.; Zhang, Yangwen On the superconvergence of a hybridizable discontinuous Galerkin method for the Cahn-Hilliard equation. (English) Zbl 07670859 SIAM J. Numer. Anal. 61, No. 1, 83-109 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 65M22 35Q35 PDFBibTeX XMLCite \textit{G. Chen} et al., SIAM J. Numer. Anal. 61, No. 1, 83--109 (2023; Zbl 07670859) Full Text: DOI arXiv
Baccouch, Mahboub A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. (English) Zbl 1512.65150 Numer. Algorithms 92, No. 4, 1983-2023 (2023). MSC: 65L10 65L20 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Numer. Algorithms 92, No. 4, 1983--2023 (2023; Zbl 1512.65150) Full Text: DOI
Lepe, F.; Mora, D.; Rivera, G.; Velásquez, I. A posteriori virtual element method for the acoustic vibration problem. (English) Zbl 1511.65125 Adv. Comput. Math. 49, No. 1, Paper No. 10, 29 p. (2023). MSC: 65N30 65N25 65N15 65N12 76Q05 74F10 74H45 76M10 74S05 PDFBibTeX XMLCite \textit{F. Lepe} et al., Adv. Comput. Math. 49, No. 1, Paper No. 10, 29 p. (2023; Zbl 1511.65125) Full Text: DOI arXiv
Hamza, Bouda; Chafik, Allouch; Mohamed, Tahrichi Legendre superconvergent degenerate kernel and Nyström methods for Fredholm integral equations. (English) Zbl 07665233 Sahand Commun. Math. Anal. 20, No. 1, 45-60 (2023). MSC: 65R20 45L05 45B05 PDFBibTeX XMLCite \textit{B. Hamza} et al., Sahand Commun. Math. Anal. 20, No. 1, 45--60 (2023; Zbl 07665233) Full Text: DOI
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Liu, Fawang Anisotropic \(EQ_1^{rot}\) finite element approximation for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1515.65241 J. Comput. Math. 41, No. 3, 459-482 (2023). MSC: 65M60 35R11 65M15 65R20 PDFBibTeX XMLCite \textit{H. Fan} et al., J. Comput. Math. 41, No. 3, 459--482 (2023; Zbl 1515.65241) Full Text: DOI
Shi, Dongyang; Zhang, Houchao Superconvergence analysis of a BDF-Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations with damping mechanism. (English) Zbl 1515.65250 J. Comput. Math. 41, No. 2, 224-245 (2023). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Zhang}, J. Comput. Math. 41, No. 2, 224--245 (2023; Zbl 1515.65250) Full Text: DOI
Yang, Huaijun; Wang, Lele; Liao, Xin Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 07654111 Comput. Math. Appl. 133, 142-154 (2023). MSC: 35Q55 65M60 65M12 65M06 65M15 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Math. Appl. 133, 142--154 (2023; Zbl 07654111) Full Text: DOI
Yang, Peng; Li, Yonghai; Wang, Xiang Global \(L^2\) superconvergence of the tetrahedral quadratic finite element. (English) Zbl 07654109 Comput. Math. Appl. 133, 104-123 (2023). MSC: 65N30 65N12 35J25 65N15 35J05 PDFBibTeX XMLCite \textit{P. Yang} et al., Comput. Math. Appl. 133, 104--123 (2023; Zbl 07654109) Full Text: DOI
Shi, Dongyang; Li, Chaoqun A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. (English) Zbl 1508.65133 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 92C17 35Q92 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023; Zbl 1508.65133) Full Text: DOI
Cao, Fangfang; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Yao, Changhui Nonconforming mixed FEM analysis for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with time-space coupled derivative. (English) Zbl 1513.65352 Adv. Appl. Math. Mech. 15, No. 2, 322-358 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{F. Cao} et al., Adv. Appl. Math. Mech. 15, No. 2, 322--358 (2023; Zbl 1513.65352) Full Text: DOI
Liu, Qian; D. Y. Shi, Dongyang Superconvergence error analysis of an efficient mixed finite element method for time-dependent natural convection problem. (English) Zbl 1524.76218 Comput. Math. Appl. 131, 68-81 (2023). MSC: 76M10 65M15 65M60 76R10 65N30 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{D. D. Y. Shi}, Comput. Math. Appl. 131, 68--81 (2023; Zbl 1524.76218) Full Text: DOI
Mandal, Moumita; Kayal, Arnab; Nelakanti, Gnaneshwar Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations. (English) Zbl 07630323 Appl. Numer. Math. 184, 49-76 (2023). MSC: 65Rxx 45Jxx 45Gxx PDFBibTeX XMLCite \textit{M. Mandal} et al., Appl. Numer. Math. 184, 49--76 (2023; Zbl 07630323) Full Text: DOI
Xu, Minqiang; Shi, Chungang A Hessian recovery-based finite difference method for biharmonic problems. (English) Zbl 1524.65870 Appl. Math. Lett. 137, Article ID 108503, 7 p. (2023). MSC: 65N30 65N12 65N50 65N15 35J40 31A30 PDFBibTeX XMLCite \textit{M. Xu} and \textit{C. Shi}, Appl. Math. Lett. 137, Article ID 108503, 7 p. (2023; Zbl 1524.65870) Full Text: DOI
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran An efficient method based on least-squares technique for interface problems. (English) Zbl 1524.35212 Appl. Math. Lett. 136, Article ID 108475, 9 p. (2023). MSC: 35J25 65N30 65N15 65N06 65N12 PDFBibTeX XMLCite \textit{M. Xu} et al., Appl. Math. Lett. 136, Article ID 108475, 9 p. (2023; Zbl 1524.35212) Full Text: DOI
Chakraborty, Samiran; Nelakanti, Gnaneshwar Superconvergence of system of Volterra integral equations by spectral approximation method. (English) Zbl 1511.65146 Appl. Math. Comput. 441, Article ID 127663, 33 p. (2023). MSC: 65R20 45D05 65N30 PDFBibTeX XMLCite \textit{S. Chakraborty} and \textit{G. Nelakanti}, Appl. Math. Comput. 441, Article ID 127663, 33 p. (2023; Zbl 1511.65146) 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
Wang, Junjun; Li, Meng; Li, Xi A new energy-stable nonconforming finite element method for Sobolev equation with Burgers’ type nonlinearity. (English) Zbl 1503.65250 Appl. Math. Lett. 135, Article ID 108440, 9 p. (2023). MSC: 65M60 35Q35 65M12 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Lett. 135, Article ID 108440, 9 p. (2023; Zbl 1503.65250) Full Text: DOI
Darania, P.; Pishbin, S. Stability analysis of the high-order multistep collocation method for the functional integral equations with constant delays. (English) Zbl 07801863 Bol. Soc. Parana. Mat. (3) 40, Paper No. 75, 11 p. (2022). MSC: 65R20 45D05 34K06 PDFBibTeX XMLCite \textit{P. Darania} and \textit{S. Pishbin}, Bol. Soc. Parana. Mat. (3) 40, Paper No. 75, 11 p. (2022; Zbl 07801863) Full Text: DOI
Shi, Yanhua; Zhao, Yanmin; Wang, Fenling; Liu, Fawang Novel superconvergence analysis of anisotropic triangular FEM for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with variable coefficients. (English) Zbl 07778299 Numer. Methods Partial Differ. Equations 38, No. 5, 1345-1366 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65D05 60K10 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y. Shi} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1345--1366 (2022; Zbl 07778299) Full Text: DOI
Li, Hao; Appelö, Daniel; Zhang, Xiangxiong Accuracy of spectral element method for wave, parabolic, and Schrödinger equations. (English) Zbl 1525.65094 SIAM J. Numer. Anal. 60, No. 1, 339-363 (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M60 65M70 65M06 65N30 65N35 65M12 65M15 65D32 35B65 35K10 35L05 35Q41 PDFBibTeX XMLCite \textit{H. Li} et al., SIAM J. Numer. Anal. 60, No. 1, 339--363 (2022; Zbl 1525.65094) Full Text: DOI arXiv
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