Ngondiep, Eric An efficient high-order weak Galerkin finite element approach for Sobolev equation with variable matrix coefficients. (English) Zbl 07979090 Comput. Math. Appl. 180, 279-298 (2025). MSC: 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Tiantian; Shi, Dongyang Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers’ type nonlinearity. (English) Zbl 07979081 Comput. Math. Appl. 180, 86-101 (2025). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Lina; Wang, Cheng; Xia, Zeyu Convergence analysis of a BDF finite element method for the resistive magnetohydrodynamic equations. (English) Zbl 07976977 Adv. Appl. Math. Mech. 17, No. 2, 633-662 (2025). MSC: 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Minghao; Shi, Dongyang; Li, Zhenzhen Convergence and superconvergence analysis for a mass conservative, energy stable and linearized BDF2 scheme of the Poisson-Nernst-Planck equations. (English) Zbl 07954669 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108351, 19 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 78A57 78A35 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Mengmeng; Zou, Guang-an; Zhang, Min An efficient unconditional energy-stable finite element method for the electro-hydrodynamic equations. (English) Zbl 07967264 Comput. Math. Appl. 176, 447-468 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijin; Jiang, Lulu; Zhang, Qiang; Xu, Yuan; Shi, Xiaobin Ultra-weak discontinuous Galerkin method with IMEX-BDF time marching for two dimensional convection-diffusion problems. (English) Zbl 07967239 Comput. Math. Appl. 176, 77-90 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Li; Fu, Hongfei; Zhang, Bingyin; Xie, Shusen A fast compact block-centered finite difference method on graded meshes for time-fractional reaction-diffusion equations and its robust analysis. (English) Zbl 07966434 Numer. Math., Theory Methods Appl. 17, No. 2, 429-462 (2024). MSC: 35R11 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Ngondiep, Eric; Tedjani, Ali H. Unconditional stability and fourth-order convergence of a two-step time split explicit/implicit scheme for two-dimensional nonlinear unsteady convection-diffusion-reaction equation. (English) Zbl 07950835 Adv. Appl. Math. Mech. 16, No. 6, 1381-1409 (2024). MSC: 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xinhui; Guo, Xu; Li, Xiaoli A class of new linear, efficient and high-order implicit-explicit methods for the unsteady Navier-Stokes-Darcy model based on nonlinear Lions interface condition. (English) Zbl 07935472 J. Sci. Comput. 101, No. 2, Paper No. 40, 30 p. (2024). MSC: 65-XX 35G25 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Yue; Tang, Dongsheng Unconditional and optimal pointwise error estimates of finite difference methods for the two-dimensional complex Ginzburg-Landau equation. (English) Zbl 07892705 J. Math. Res. Appl. 44, No. 2, 248-268 (2024). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin Numerical analysis of an improved projection method for the evolutionary magnetohydrodynamic equations with modular grad-div stabilization. (English) Zbl 07863399 Comput. Math. Appl. 167, 298-314 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Qi, Zhenqi Unconditional superconvergence analysis of an energy dissipation property preserving nonconforming FEM for nonlinear BBMB equation. (English) Zbl 1549.65459 Comput. Appl. Math. 43, No. 4, Paper No. 207, 23 p. (2024). MSC: 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zhiyong; Ji, Yao; Wang, Yunxia Unconditional stability and error estimates of the modified characteristics FEMs for the micropolar Navier-Stokes equations. (English) Zbl 1549.76071 Commun. Nonlinear Sci. Numer. Simul. 134, Article ID 108008, 22 p. (2024). MSC: 76D05 35Q30 65M60 65N30 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fan; Sun, Hai-Wei; Sun, Tao Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation. (English) Zbl 1545.65346 Appl. Math. Comput. 470, Article ID 128592, 20 p. (2024). MSC: 65M06 65M15 35G25 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Minghao; Li, Zhenzhen Error estimates for the finite element method of the Navier-Stokes-Poisson-Nernst-Planck equations. (English) Zbl 07827764 Appl. Numer. Math. 197, 186-209 (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chaoqun; Shi, Dongyang Low order nonconforming finite element methods for nuclear reactor model. (English) Zbl 1547.65144 Commun. Nonlinear Sci. Numer. Simul. 133, Article ID 107900, 13 p. (2024). MSC: 65M60 65M06 65N30 65N50 65M15 82D75 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Shipeng; Sun, Jiaao; Xue, Wendong Unconditional convergence and error estimates of a fully discrete finite element method for the micropolar Navier-Stokes equations. (English) Zbl 1549.76117 J. Comput. Math. 42, No. 1, 71-110 (2024). MSC: 76M10 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Qi, Zhenqi Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation. (English) Zbl 1538.65391 Comput. Math. Appl. 153, 172-185 (2024). MSC: 65M60 65M12 65N30 65M06 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Ngondiep, Eric A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1540.76098 Math. Comput. Simul. 215, 560-577 (2024). MSC: 76M10 35Q53 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations. (English) Zbl 07756735 J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Cheng; Wang, Jilu; Wise, Steven M.; Xia, Zeyu; Xu, Liwei Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations. (English) Zbl 1528.76046 J. Comput. Appl. Math. 436, Article ID 115409, 17 p. (2024). MSC: 76M10 65M12 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Yanxia; Zhang, Yongchao; Huang, Yunqing Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation. (English) Zbl 1538.65426 Comput. Math. Appl. 151, 461-472 (2023). MSC: 65M70 65M12 65M06 35K55 65M15 65N35 74N05 74S25 74S20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhenzhen; Xiao, Liuchao; Li, Minghao; Chen, Hongru Error estimates for the finite element method of the chemotaxis-Navier-Stokes equations. (English) Zbl 1522.65176 J. Appl. Math. Comput. 69, No. 4, 3039-3065 (2023). MSC: 65M60 35Q92 65M15 76D05 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Wanqiu; Zhang, Chengjian; Li, Dongfang Linearized fast time-stepping schemes for time-space fractional Schrödinger equations. (English) Zbl 07736394 Physica D 454, Article ID 133865, 15 p. (2023). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qinlong; Li, Yu Unconditional optimal error estimates of a linearized mass- and energy-conservation FEM for a coupled nonlinear Schrödinger equations. (English) Zbl 07714005 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107297, 18 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Guang-an; Wang, Xuyang; Li, Jian An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562 Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023). MSC: 35Q35 76A15 65M12 65M15 65M60 65M06 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Tong; Chu, Xiaochen; Chen, Chuanjun Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow. (English) Zbl 1517.65079 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5839-5880 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 76D05 76W05 35Q35 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Shi, Dongyang A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations. (English) Zbl 07693651 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107286, 18 p. (2023). MSC: 65-XX 93-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1529.65057 SIAM J. Numer. Anal. 61, No. 3, 1218-1245 (2023). MSC: 65M60 65N30 65M12 65M15 35K55 76D05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Huifang; Zhang, Tong Unconditional stability and convergence of fully discrete FEM for the viscoelastic Oldroyd flow with an introduced auxiliary variable. (English) Zbl 1515.65304 J. Korean Math. Soc. 60, No. 2, 273-302 (2023). MSC: 65N30 65N12 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Tong; Yang, Jinting Decoupled and linearized scalar auxiliary variable finite element method for the time-dependent incompressible magnetohydrodynamic equations: unconditional stability and convergence analysis. (English) Zbl 1533.65188 Numer. Methods Partial Differ. Equations 38, No. 5, 1499-1525 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 35D35 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Zhang, Houchao Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator. (English) Zbl 1504.65213 Comput. Math. Appl. 128, 79-95 (2022). MSC: 65M60 35Q55 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuanjun; Zhang, Tong Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model. (English) Zbl 1510.76084 Appl. Math. Comput. 429, Article ID 127238, 22 p. (2022). MSC: 76M10 65M12 65M60 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Chao; Pei, Lifang Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation. (English) Zbl 1524.65615 Comput. Math. Appl. 115, 1-13 (2022). MSC: 65M60 65M12 65M06 35Q56 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. (English) Zbl 07523320 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 767-789 (2022). MSC: 65-XX 35K20 65M12 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wenjie; Wu, Boying Unconditional stability and optimal error estimates of a Crank-Nicolson Legendre-Galerkin method for the two-dimensional second-order wave equation. (English) Zbl 1529.65075 Numer. Algorithms 90, No. 1, 137-158 (2022). MSC: 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Minghao; Li, Zhenzhen; Shi, Dongyang Unconditional optimal error estimates for the transient Navier-Stokes equations with damping. (English) Zbl 1499.65502 Adv. Appl. Math. Mech. 14, No. 1, 248-274 (2022). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yuan; An, Rong Unconditionally optimal error analysis of a linear Euler FEM scheme for the Navier-Stokes equations with mass diffusion. (English) Zbl 1481.35337 J. Sci. Comput. 90, No. 1, Paper No. 47, 31 p. (2022). MSC: 35Q35 76D05 65M60 65M06 65N30 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Tong; Yuan, JinYun Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations. (English) Zbl 1490.65217 J. Sci. Comput. 90, No. 1, Paper No. 1, 20 p. (2022). MSC: 65M60 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Pei, Shuaichao; Hou, Yanren; Li, Qi A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation. (English) Zbl 1524.65384 Comput. Math. Appl. 103, 104-126 (2021). MSC: 65M06 65M12 65M60 65M70 35Q35 65M15 65N35 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yang; Lei, Yanfang; Si, Zhiyong Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. (English) Zbl 1488.76089 Adv. Appl. Math. Mech. 13, No. 2, 311-332 (2021). MSC: 76M10 65N12 65N30 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ying; Wang, Gang; Bu, Linlin; Mei, Liquan Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. (English) Zbl 1496.65174 Numer. Algorithms 88, No. 1, 419-451 (2021). MSC: 65M60 65N30 65M15 65M12 26A33 35R11 81Q05 35Q41 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin; Yu, Bo-Hao Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation. (English) Zbl 1476.65259 J. Sci. Comput. 87, No. 3, Paper No. 89, 32 p. (2021). MSC: 65M60 65M06 65N30 65M15 65N15 65N12 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrödinger-Helmholtz equations. (English) Zbl 1475.65135 Numer. Algorithms 86, No. 4, 1495-1522 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65M60 65M06 65N30 65N15 65N12 35Q55 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhenzhen; Li, Minghao; Shi, Dongyang Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. (English) Zbl 1508.76071 Appl. Math. Comput. 389, Article ID 125572, 12 p. (2021). MSC: 76M10 65M60 65M12 65M15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal error estimates of linearized second-order BDF Galerkin FEMs for the Landau-Lifshitz equation. (English) Zbl 1459.65191 Appl. Numer. Math. 159, 21-45 (2021). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Boya; Chen, Xiaoli; Li, Dongfang Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations. (English) Zbl 1453.65350 J. Sci. Comput. 85, No. 2, Paper No. 39, 19 p. (2020). MSC: 65M60 65N30 65M22 65M12 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Wu, Yanmi Nonconforming quadrilateral finite element method for nonlinear Kirchhoff-type equation with damping. (English) Zbl 1452.65248 Math. Methods Appl. Sci. 43, No. 5, 2558-2576 (2020). MSC: 65M60 65M22 65N30 65N12 65N15 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Zhen; Yang, Xiaofeng; Zhang, Hui Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows. (English) Zbl 1440.65104 J. Sci. Comput. 83, No. 3, Paper No. 57, 27 p. (2020). MSC: 65M06 65M12 65M15 65N08 65Z05 76D05 76T06 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaofeng; Zhang, Guo-Dong Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential. (English) Zbl 1434.65222 J. Sci. Comput. 82, No. 3, Paper No. 55, 28 p. (2020). MSC: 65N12 65M12 65M70 65M06 65M15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. (English) Zbl 1447.65039 J. Comput. Appl. Math. 369, Article ID 112636, 23 p. (2020). Reviewer: Denys Dutykh (Chambéry) MSC: 65M06 65M12 65N12 76W05 65M15 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Liu, Qian Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. (English) Zbl 1427.35262 Appl. Numer. Math. 147, 118-128 (2020). MSC: 35Q56 65M06 65M12 65M15 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yang; Si, Zhiyong Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations. (English) Zbl 1442.65284 Comput. Math. Appl. 77, No. 1, 263-283 (2019). MSC: 65M60 65M12 65M15 65M25 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, XiaoMing; Yang, XiaoFeng A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations. (English) Zbl 1432.76172 J. Sci. Comput. 81, No. 3, 1678-1711 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 76M10 76M20 65M60 35Q30 65M12 76W05 65M15 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Liu, Qian Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. (English) Zbl 1419.65042 Numer. Methods Partial Differ. Equations 35, No. 1, 422-439 (2019). MSC: 65M12 65M60 35Q56 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jingyuan A stable explicitly solvable numerical method for the Riesz fractional advection-dispersion equations. (English) Zbl 1427.65200 Appl. Math. Comput. 332, 209-227 (2018). MSC: 65M06 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xuehua; Zhang, Haixiang; Xu, Da Orthogonal spline collocation method for the fourth-order diffusion system. (English) Zbl 1409.65079 Comput. Math. Appl. 75, No. 9, 3172-3185 (2018). MSC: 65M70 65M12 65M15 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; Yang, Jinjin; Bi, Chunjia Second order unconditionally convergent and energy stable linearized scheme for MHD equations. (English) Zbl 1388.76159 Adv. Comput. Math. 44, No. 2, 505-540 (2018). MSC: 76M10 76W05 65M60 65M12 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yi; Hou, Yanren A second-order partitioned method with different subdomain time steps for the evolutionary Stokes-Darcy system. (English) Zbl 1392.35230 Math. Methods Appl. Sci. 41, No. 5, 2178-2208 (2018). MSC: 35Q35 65M60 65M12 65M06 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Yang, Huaijun Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. (English) Zbl 1427.65184 Appl. Math. Comput. 310, 40-47 (2017). MSC: 65M06 35K20 35K91 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dongfang; Wang, Jilu; Zhang, Jiwei Unconditionally convergent \(L1\)-Galerkin FEMs for nonlinear time-fractional Schrödinger equations. (English) Zbl 1379.65079 SIAM J. Sci. Comput. 39, No. 6, A3067-A3088 (2017). MSC: 65M60 35Q55 35R11 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, Yinnian Decoupled schemes for unsteady MHD equations. I: Time discretization. (English) Zbl 1397.76081 Numer. Methods Partial Differ. Equations 33, No. 3, 956-973 (2017). MSC: 76M10 65M60 65M12 65M15 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wanshan; Liang, Dong; Lin, Yanping Global energy-tracking identities and global energy-tracking splitting FDTD schemes for the Drude models of Maxwell’s equations in three-dimensional metamaterials. (English) Zbl 1381.78013 Numer. Methods Partial Differ. Equations 33, No. 3, 763-785 (2017). Reviewer: Jichun Li (Las Vegas) MSC: 78M20 35Q60 78A25 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Xiaobing; Lorton, Cody An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency. (English) Zbl 1368.78135 J. Sci. Comput. 69, No. 2, 841-865 (2016). MSC: 78M10 65N12 65N15 65N30 78A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Huadong Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations. (English) Zbl 1364.65180 J. Sci. Comput. 66, No. 2, 504-527 (2016). Reviewer: Dimitra Antonopoulou (Cheshire) MSC: 65M15 65M12 35K61 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, Yinnian Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation. (English) Zbl 1443.65232 Comput. Math. Appl. 69, No. 12, 1390-1406 (2015). MSC: 65M60 65M12 65M15 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Balázsová, Monika; Feistauer, Miloslav; Hadrava, Martin; Kosík, Adam Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems. (English) Zbl 1374.65166 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8–13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-64-6). 9-16 (2015). MSC: 65M60 65M12 65M15 35K55 × Cite Format Result Cite Review PDF Full Text: Link
Gao, Huadong; Li, Buyang; Sun, Weiwei Optimal error estimates of linearized Crank-Nicolson Galerkin FEMs for the time-dependent Ginzburg-Landau equations in superconductivity. (English) Zbl 1328.65206 SIAM J. Numer. Anal. 52, No. 3, 1183-1202 (2014). MSC: 65M60 65M12 65M15 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Huadong Optimal error estimates of a linearized backward Euler FEM for the Landau-Lifshitz equation. (English) Zbl 1310.65125 SIAM J. Numer. Anal. 52, No. 5, 2574-2593 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M12 65M15 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Pengzhan; Feng, Xinlong; Liu, Demin A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. (English) Zbl 1349.76221 Appl. Math. Modelling 37, No. 4, 1910-1919 (2013). MSC: 76M10 76D07 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming Efficient and long-time accurate second-order methods for the Stokes-Darcy system. (English) Zbl 1282.76094 SIAM J. Numer. Anal. 51, No. 5, 2563-2584 (2013). MSC: 76D07 76S05 35M13 35Q35 65N30 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Gudi, Thirupathi; Gupta, Hari Shanker; Nataraj, Neela Analysis of an interior penalty method for fourth order problems on polygonal domains. (English) Zbl 1261.65119 J. Sci. Comput. 54, No. 1, 177-199 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65N15 35J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Guofeng; Li, Bo; Tian, Qiaoxian; Ge, Yongbin A high accurate semi-explicit difference method for the one-dimensional parabolic equation. (Chinese. English summary) Zbl 1199.65295 J. Northwest Norm. Univ., Nat. Sci. 44, No. 3, 8-11 (2008). MSC: 65M06 65M12 35K20 65M15 × Cite Format Result Cite Review PDF
Tian, Qiaoxian; Yang, Guofeng; Ge, Yongbin An unconditionally stable semi-explicit difference scheme for the high-dimensional diffusion equation. (Chinese. English summary) Zbl 1199.65287 J. Shangqiu Teach. Coll. 24, No. 12, 15-19 (2008). MSC: 65M06 35K20 65M12 65M15 × Cite Format Result Cite Review PDF
Nochetto, Ricardo H.; Pyo, Jae-Hong The gauge-Uzawa finite element method. I: The Navier-Stokes equations. (English) Zbl 1094.76041 SIAM J. Numer. Anal. 43, No. 3, 1043-1068 (2005). MSC: 76M10 76D05 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Butcher, J. C.; Jackiewicz, Z. Unconditionally stable general linear methods for ordinary differential equations. (English) Zbl 1066.65078 BIT 44, No. 3, 557-570 (2004). MSC: 65L20 65L06 65L05 34A34 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Mishev, Ilya D. Finite volume element methods for non-definite problems. (English) Zbl 0938.65131 Numer. Math. 83, No. 1, 161-175 (1999). Reviewer: J.Vaníček (Praha) MSC: 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Minchenkov, Yu. V. Regularization of multicomponent difference schemes. (Russian. English summary) Zbl 0832.65092 Izv. Akad. Nauk Belarusi, Ser. Fiz.-Mat. Nauk 1994, No. 2, 12-16 (1994). Reviewer: K.Zlateva (Russe) MSC: 65M06 65M12 65M15 35K15 35L15 × Cite Format Result Cite Review PDF
Guermond, Lean-Luc On approximation of Navier-Stokes equations by a projection method. (Sur l’approximation des équations de Navier-Stokes par une méthode de projection.) (French. Abridged English version) Zbl 0813.76066 C. R. Acad. Sci., Paris, Sér. I 319, No. 8, 887-892 (1994). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF
Yang, Daoqi Grid modification for the wave equation with attenuation. (English) Zbl 0791.65078 Numer. Math. 67, No. 3, 391-401 (1994). Reviewer: Daoqi Yang (West Lafayette) MSC: 65M60 65M12 65M15 65M50 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Bakaev, N. Yu. Almost unconditional a priori estimates of the solutions of parabolic difference problems. (English. Russian original) Zbl 0811.65064 Comput. Math. Math. Phys. 33, No. 3, 343-355 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 3, 380-394 (1993). Reviewer: S.Burys (Kraków) MSC: 65M06 65M12 65M15 35K05 × Cite Format Result Cite Review PDF
Matus, P. P.; Stanishevskaya, L. V. On the question of investigation of unconditional convergence of difference schemes for nonlinear nonstationary equations. (Russian. English summary) Zbl 0735.65065 Dokl. Akad. Nauk BSSR 35, No. 2, 101-105 (1991). Reviewer: I.Evzerov MSC: 65M12 65M06 65M15 35K55 35L70 × Cite Format Result Cite Review PDF
Matus, P.; Stanishevskaya, L. On the unconditional convergence of some difference schemes for multidimensional parabolic and hyperbolic equations with variable coefficients in a uniform metric. (Russian. English summary) Zbl 0721.65049 Differ. Uravn. Primen. 44, 40-53 (1989). MSC: 65M12 65M06 65M15 35L15 35K15 × Cite Format Result Cite Review PDF
Axelsson, O. Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations. (English) Zbl 0597.65058 Differential equations and their applications, Equadiff 6, Proc. 6th Int. Conf., Brno/Czech. 1985, Lect. Notes Math. 1192, 275-284 (1986). MSC: 65J15 65L05 34G20 35G10 35K25 × Cite Format Result Cite Review PDF Full Text: EuDML
Breiman, L.; Freedman, D. How many variables should be entered in a regression equation? (English) Zbl 0513.62068 J. Am. Stat. Assoc. 78, 131-136 (1983). MSC: 62J05 × Cite Format Result Cite Review PDF Full Text: DOI
Davidson, James Small sample properties of estimators of the moving average process. (English) Zbl 0474.62084 Proc. Econ. Soc. Eur. Meet., Athens 1979, Contrib. Econ. Anal. 138, 27-62 (1981). MSC: 62M10 62F10 65C05 × Cite Format Result Cite Review PDF