Wang, Jing; Chen, Xuejuan; Chen, Jinghua A high-precision numerical method based on spectral deferred correction for solving the time-fractional Allen-Cahn equation. (English) Zbl 07979076 Comput. Math. Appl. 180, 1-27 (2025). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lu; Feng, Minfu The simplified weak Galerkin method with \(\theta\) scheme and its reduced-order model for the elastodynamic problem on polygonal mesh. (English) Zbl 07979050 Comput. Math. Appl. 178, 19-46 (2025). MSC: 65-XX 76-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, Yuan; Cui, Xuewei Error analysis of a new Euler semi-implicit time-discrete scheme for the incompressible MHD system with variable density. (English) Zbl 07976959 Adv. Appl. Math. Mech. 17, No. 1, 263-294 (2025). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elhameed, W. M.; Alsuyuti, M. M. New spectral algorithm for fractional delay pantograph equation using certain orthogonal generalized Chebyshev polynomials. (English) Zbl 07973479 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108479, 21 p. (2025). MSC: 65L60 33C45 34A08 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Meng; Cohen, David; Wang, Xiaojie Strong convergence rates for a full discretization of stochastic wave equation with nonlinear damping. (English) Zbl 07969190 J. Sci. Comput. 102, No. 2, Paper No. 45, 26 p. (2025). MSC: 60H35 60H15 65C30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yiran; Chung, Eric; Sun, Shuyu Physics-preserving IMPES based multiscale methods for immiscible two-phase flow in highly heterogeneous porous media. (English) Zbl 07969183 J. Sci. Comput. 102, No. 2, Paper No. 38, 27 p. (2025). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 76T06 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiang, Xiao-Shuo; Wang, Bao-Shan; Gao, Zhen; Li, Peng Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods. (English) Zbl 07969174 J. Sci. Comput. 102, No. 2, Paper No. 29, 32 p. (2025). MSC: 65M08 65M60 65L06 65M25 65D32 65N08 65N30 35L65 76M12 76M10 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Xucheng; Qin, Yuzhe; Hu, Guanghui The convergence analysis of a class of stabilized semi-implicit isogeometric methods for the Cahn-Hilliard equation. (English) Zbl 07969171 J. Sci. Comput. 102, No. 1, Paper No. 26, 35 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 65M22 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Zhijun; Zeng, Yunhua Temporal second-order two-grid finite element method for semilinear time-fractional Rayleigh-Stokes equations. (English) Zbl 07968686 J. Comput. Appl. Math. 459, Article ID 116375, 17 p. (2025). MSC: 65M60 65M06 65N30 65M55 65M12 65M15 35A21 76A05 76M10 76M20 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Hu, Hanzhang Two-grid finite element methods for space-fractional nonlinear Schrödinger equations. (English) Zbl 07968681 J. Comput. Appl. Math. 459, Article ID 116370, 14 p. (2025). MSC: 65M60 65M06 65N30 65M55 65H10 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Yan; Zhu, Jun Pure-positivity-preserving methods with an optimal sufficient CFL number for fifth-order MR-WENO schemes on structured meshes. (English) Zbl 07967274 Comput. Math. Appl. 177, 1-22 (2025). MSC: 65M60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Manimaran, J.; Shangerganesh, L.; Hariharan, S.; Basuodan, Reem M.; Hendy, A. S.; Zaky, Mahmoud A. On the effectiveness and precision of BDF2-discontinuous Galerkin scheme for nonlinear nonlocal reaction-diffusion models. (English) Zbl 07965877 Z. Angew. Math. Phys. 76, No. 1, Paper No. 26, 14 p. (2025). MSC: 65M60 65M06 65N30 65N12 65M12 65M15 35K57 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Chrifi, Abderrazak; Abounouh, Mostafa; Al Moatassime, Hassan Numerical study of the one-dimensional damped and forced Dirac nonlinear Schrödinger equation with artificial boundary conditions. (English) Zbl 07962682 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 269-295 (2025). MSC: 35Q55 65M22 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Ma, Shu; Sun, Weiwei Optimal analysis of finite element methods for the stochastic Stokes equations. (English) Zbl 07962046 Math. Comput. 94, No. 352, 551-583 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 60H15 35R60 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asadi-Mehregan, Fatemeh; Assari, Pouria; Dehghan, Mehdi A meshless local Galerkin method for solving a class of nonlinear time-dependent mixed integral equations on non-rectangular 2D domains. (English) Zbl 07959232 Comput. Appl. Math. 44, No. 1, Paper No. 16, 38 p. (2025). MSC: 31A10 65D10 65G99 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng; Bi, Jingjiang; Wang, Nan Structure-preserving weighted BDF2 methods for anisotropic Cahn-Hilliard model: uniform/variable-time-steps. (English) Zbl 07954713 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108395, 23 p. (2025). MSC: 65N30 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Xuemiao; Shi, Dongyang Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation. (English) Zbl 07954705 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108387, 14 p. (2025). MSC: 65M60 65M06 65N30 65M12 65D05 47H10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
An, Rong; Wan, Weiwen Uniform error analysis of an exponential IMEX-SAV method for the incompressible flows with large Reynolds number based on grad-div stabilization. (English) Zbl 07954704 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108386, 13 p. (2025). MSC: 76M10 35Q30 65M12 65M15 65M60 76D05 × 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
Jin, Lixiang; Li, Zhaoxiang; Wang, Peipei; Yi, Lijun Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation. (English) Zbl 07952208 Appl. Numer. Math. 207, 621-641 (2025). MSC: 65N35 65N12 65N15 35J96 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Xiaojuan; Cai, Yongyong Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows. (English) Zbl 07952206 Appl. Numer. Math. 207, 585-607 (2025). MSC: 65M60 65M06 65N30 65M12 76W05 76T06 76D05 78A25 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Raina, Aayushman; Natesan, Srinivasan A weak Galerkin finite element method for fourth-order parabolic singularly perturbed problems on layer adapted Shishkin mesh. (English) Zbl 07952202 Appl. Numer. Math. 207, 520-533 (2025). MSC: 65N30 65N15 35J30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Shan; Wang, Yajun; Guan, Xiaofei A semi-implicit stochastic multiscale method for radiative heat transfer problem in composite materials. (English) Zbl 07951586 J. Sci. Comput. 102, No. 1, Paper No. 10, 24 p. (2025). MSC: 65N12 65N15 80M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Chuan; Qiu, Jianxian; Zhao, Zhuang A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws. (English) Zbl 07951585 J. Sci. Comput. 102, No. 1, Paper No. 9, 36 p. (2025). MSC: 65M08 65M60 65M06 65N06 65L06 65D32 35L65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaohao; Mei, Liquan; Guo, Shimin Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 1547.65154 J. Comput. Appl. Math. 454, Article ID 116204, 20 p. (2025). MSC: 65M60 65M06 65N30 65L06 33C45 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Xiaolong; Yu, Xijun; Song, Shicang; Zou, Shijun; Qing, Fang A Lagrangian discontinuous Galerkin scheme for the compressible Euler equations on unstructured triangular meshes. (English) Zbl 07966457 Numer. Math., Theory Methods Appl. 17, No. 4, 1074-1099 (2024). MSC: 65M60 35Q31 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Giesselmann, Jan; Kwon, Kiwoong A posteriori error control for a discontinuous Galerkin approximation of a Keller-Segel model. (English) Zbl 07964516 Adv. Comput. Math. 50, No. 6, Paper No. 119, 32 p. (2024). MSC: 65M60 65M08 65M06 65N30 65N08 65M50 65M15 35D30 35K40 92C17 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Djoko, J. K.; Sayah, T. Discontinuous Galerkin schemes for Stokes flow with Tresca boundary condition: iterative a posteriori error analysis. (English) Zbl 07964510 Adv. Comput. Math. 50, No. 6, Paper No. 113, 37 p. (2024). MSC: 65N30 65N15 65J15 76D07 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Arar, N.; Laouar, Z.; Hioual, A. The advection-diffusion-reaction equation: a numerical approach using a combination of approximation techniques. (English) Zbl 07962739 Nonlinear Dyn. Syst. Theory 24, No. 6, 549-560 (2024). MSC: 65N35 65N30 65N22 33C45 70K99 93C20 × Cite Format Result Cite Review PDF Full Text: Link
Xie, Huazhao; Shi, Dongyang Superconvergence analysis of nonlinear moisture migration equations. (Chinese. English summary) Zbl 07959390 Acta Math. Appl. Sin. 47, No. 3, 498-516 (2024). MSC: 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jindong; Wu, Shuonan Discontinuous Galerkin methods for magnetic advection-diffusion problems. (English) Zbl 07953220 Comput. Math. Appl. 174, 43-54 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Huaijun; Wang, Lele; Liao, Xin Superconvergence error estimate of the bilinear-constant scheme for the Stokes equations with damping. (English) Zbl 07950839 Adv. Appl. Math. Mech. 16, No. 6, 1502-1518 (2024). MSC: 65M15 65M60 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Wilson, S. G.; Eaton, M. D.; Kópházi, J. A symmetric interior-penalty discontinuous Galerkin isogeometric analysis spatial discretization of the self-adjoint angular flux form of the neutron transport equation. (English) Zbl 07949573 Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117414, 25 p. (2024). MSC: 76M10 65M60 65M12 74S22 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Volkov-Bogorodskiy, D. B. Development Trefftz method for problems of nonhomogeneous media. (English) Zbl 1549.74564 Lobachevskii J. Math. 45, No. 5, 2429-2437 (2024). MSC: 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chand, Abhilash; Saha Ray, Santanu Numerical studies on the classical long wave system describing shallow water waves with dispersion. (English) Zbl 07938984 J. Comput. Theor. Transp. 53, No. 6, 383-397 (2024). MSC: 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Gu, Qiling; Huang, Jian Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen-Cahn-type gradient flows. (English) Zbl 07938964 Math. Models Methods Appl. Sci. 34, No. 11, 2141-2167 (2024). MSC: 65M60 65M12 35K20 35K35 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shuaijun; Huang, Pengzhan; He, Yinnian Error analysis of BDF-Galerkin FEMs for thermally coupled incompressible MHD with temperature dependent parameters. (English) Zbl 1547.65145 East Asian J. Appl. Math. 14, No. 4, 731-768 (2024). MSC: 65M60 65M12 65M15 76M10 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kun; Liu, Enlong; Zheng, Haibiao Decoupled, positivity-preserving and unconditionally energy stable schemes for the electrohydrodynamic flow with variable density. (English) Zbl 07935484 J. Sci. Comput. 101, No. 2, Paper No. 52, 45 p. (2024). MSC: 65M60 65M06 65N30 65K10 65N15 76W05 76D05 35B09 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Putri, Kharisma Surya; Mizuochi, Tatsuki; Kolbe, Niklas; Notsu, Hirofumi Error estimates for first- and second-order Lagrange-Galerkin moving mesh schemes for the one-dimensional convection-diffusion equation. (English) Zbl 07935469 J. Sci. Comput. 101, No. 2, Paper No. 37, 37 p. (2024). MSC: 65M15 65M25 65M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Qiling; Chen, Yanping; Zhou, Jianwei; Huang, Jian A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations. (English) Zbl 07932425 Numer. Algorithms 97, No. 3, 1141-1177 (2024). MSC: 65M60 65M06 65N30 65H10 65M15 65M12 35K20 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Desong; Shen, Jie; Wang, Li-Lian; Xiang, Shuhuang Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. (English) Zbl 07932062 Adv. Comput. Math. 50, No. 5, Paper No. 97, 36 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M70 65M60 65M06 65N30 65N25 65F15 65L15 35P20 33C45 33C10 42C10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Wei; Su, Chunmei; Zhang, Ganghui Stable backward differentiation formula time discretization of BGN-based parametric finite element methods for geometric flows. (English) Zbl 07931262 SIAM J. Sci. Comput. 46, No. 5, A2874-A2898 (2024). MSC: 74H15 74S05 74M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Fangfang; Sun, Tongjun A bicubic B-spline finite element method for fourth-order semilinear parabolic optimal control problems. (English) Zbl 07930621 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 6, 2411-2421 (2024). MSC: 49K20 49M25 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Haubold, Tim; Beuchler, Sven; Schöberl, Joachim High order biorthogonal functions in \(H(\mathrm{curl})\). (English) Zbl 07930216 SIAM J. Numer. Anal. 62, No. 5, 2331-2348 (2024). MSC: 65N22 65N30 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peradze, Jemal A method of solution of an initial and time dependent boundary value problem for a dynamic string nonlinear differential equation. (English) Zbl 07929019 Appl. Math. Inform. Mech. 29, No. 1, 25-34 (2024). MSC: 35L20 35R09 65H10 65M60 65N06 74G15 × Cite Format Result Cite Review PDF Full Text: Link
Bouabid, Khadidja; Kechkar, Nasserdine Quadratic B-spline Galerkin scheme for the solution of a space-fractional Burgers’ equation. (English) Zbl 07927174 J. Korean Math. Soc. 61, No. 4, 621-657 (2024). MSC: 65M60 65M06 65N30 65H10 65M12 65M15 65D07 26A33 35R11 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Hensel, Maurice; Winckler, Malte; Yousept, Irwin Numerical solutions to hyperbolic Maxwell quasi-variational inequalities in Bean-Kim model for type-II superconductivity. (English) Zbl 07927031 ESAIM, Math. Model. Numer. Anal. 58, No. 4, 1385-1411 (2024). MSC: 65M60 65M06 65N30 65M12 78A25 82D55 35L86 78M10 78M20 82M10 82M20 35Q60 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Zhang, Houchao Convergence analysis of nonconforming quadrilateral finite element methods for nonlinear coupled Schrödinger-Helmholtz equations. (English) Zbl 07924443 J. Comput. Math. 42, No. 4, 979-998 (2024). MSC: 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dongfang; Qin, Hongyu; Zhang, Jiwei Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations. (English) Zbl 07924431 J. Comput. Math. 42, No. 3, 662-678 (2024). MSC: 35R11 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doss, L. Jones Tarcius; Merlin, V. Jenish An optimal order \(H^1\)-Galerkin mixed finite element method for good Boussinesq equation. (English) Zbl 1547.65139 Comput. Appl. Math. 43, No. 7, Paper No. 402, 29 p. (2024). MSC: 65M60 35G20 35Q53 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuanlu; Jiang, Jiantao; An, Jing Spectral-Galerkin approximation based on reduced order scheme for fourth order equation and its eigenvalue problem with simply supported plate boundary conditions. (English) Zbl 07922829 J. Appl. Anal. Comput. 14, No. 1, 61-83 (2024). MSC: 65M15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Caojie; Zhang, Haixiang; Yang, Xuehua A new \(\alpha\)-robust nonlinear numerical algorithm for the time fractional nonlinear KdV equation. (English) Zbl 1547.65143 Commun. Anal. Mech. 16, No. 1, 147-168 (2024). MSC: 65M60 35Q53 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Almani, T.; Kumar, K. Convergence of multirate fixed stress split iterative schemes for a fractured Biot model. (English) Zbl 07917731 Comput. Methods Appl. Mech. Eng. 431, Article ID 117253, 32 p. (2024). MSC: 76M10 65N12 65N30 74F10 74R99 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xin; Song, Qixuan; Gao, Yu; Chen, Zhangxin The lowest-order stabilized virtual element method for the Stokes problem. (English) Zbl 1545.65443 Commun. Comput. Phys. 36, No. 1, 221-247 (2024). MSC: 65N30 65N12 65N15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuanjun; Yang, Xiaofeng Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model. (English) Zbl 1547.65137 Sci. China, Math. 67, No. 9, 2171-2194 (2024). MSC: 65M60 65M06 65N30 65N22 65N12 76D05 76T06 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huangxin; Huang, Can; Sun, Shuyu; Xiang, Yahong Stabilized variational formulations of Chorin-type and artificial compressibility methods for the stochastic Stokes-Darcy equations. (English) Zbl 1548.76096 J. Sci. Comput. 101, No. 1, Paper No. 22, 49 p. (2024). MSC: 76M10 65M60 65N30 65N15 76N10 76S05 35R35 35A15 76M20 35Q35 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Ern, Alexandre; Steins, Morgane Convergence analysis for the wave equation discretized with hybrid methods in space (HHO, HDG and WG) and the leapfrog scheme in time. (English) Zbl 07915956 J. Sci. Comput. 101, No. 1, Paper No. 7, 28 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76Q05 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Roul, Pradip; Rohil, Vikas A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation. (English) Zbl 1547.65097 J. Math. Chem. 62, No. 8, 2039-2055 (2024). MSC: 65M60 35K20 35R11 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Kaouther; Ankur; Omrani, Khaled Error analysis of the fully Galerkin approximations for the nonlinear extended-Fisher-Kolmogorov equation. (English) Zbl 07910908 Comput. Appl. Math. 43, No. 6, Paper No. 361, 28 p. (2024). MSC: 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Lingfa; Dong, Yidao; Liu, Wei Corrected linear-Galerkin schemes to preserve second-order accuracy for cell-centered unstructured finite volume methods. (English) Zbl 07908866 Adv. Appl. Math. Mech. 16, No. 5, 1056-1103 (2024). MSC: 35L55 65M08 76M12 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Gatica, Gabriel N. A note on the generalized Babuška-Brezzi theory: revisiting the proof of the associated Strang error estimates. (English) Zbl 1545.65405 Appl. Math. Lett. 157, Article ID 109197, 6 p. (2024). MSC: 65N15 47B01 65J05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yang; Yi, Huaming; Fan, Xiaohong; Li, Guanrong Unconditionally optimal error estimates of linearized Crank-Nicolson virtual element methods for quasilinear parabolic problems on general polygonal meshes. (English) Zbl 1547.65151 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 881-926 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zhiyong; Li, Ziyi; Wei, Leilei A rotational velocity-correction projection method for the micropolar Navier-Stokes equations. (English) Zbl 1546.65075 Appl. Numer. Math. 205, 267-280 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76U05 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Hohenegger, Matthias; Settanni, Giuseppina; Weinmüller, Ewa B.; Wolde, Mered Numerical treatment of singular ODEs using finite difference and collocation methods. (English) Zbl 1546.65053 Appl. Numer. Math. 205, 184-194 (2024). MSC: 65L10 34B15 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Toprakseven, Suayip; Srinivasan, Natesan An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes. (English) Zbl 1546.65055 Appl. Numer. Math. 204, 130-146 (2024). MSC: 65L11 65L60 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Wentao; Zhang, Mingyan Existence of smooth solutions to the 3D Navier-Stokes equations based on numerical solutions by the Crank-Nicolson finite element method. (English) Zbl 1546.35137 Calcolo 61, No. 3, Paper No. 36, 22 p. (2024). MSC: 35Q30 76D05 35D35 35B65 35A01 35A02 65M60 65M06 65N30 65M15 78M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Jixiao; Chen, Yanping; Liang, Qin The mass- and energy-conserving relaxation virtual element method for the nonlinear Schrödinger equation. (English) Zbl 1547.65141 Appl. Math. Lett. 158, Article ID 109251, 7 p. (2024). MSC: 65M60 65M06 65N30 47H10 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Daming; Yu, Yongbo; Zheng, Huasheng \(S_2\) synthetic acceleration and positivity-preserving schemes for solving the neutron transport equation. (English) Zbl 1543.65201 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108089, 13 p. (2024). MSC: 65N30 65N12 82D75 × Cite Format Result Cite Review PDF Full Text: DOI
Kachakhidze, Nikoloz; Papukashvili, Archil; Papukashvili, Giorgi; Peradze, Jemal; Sharikadze, Meri On the Test Results of a Method of Solution of the Nonlinear Integro-Differential Equation of String Oscillation. (English) Zbl 07900236 Bull. TICMI 28, No. 1, 51-56 (2024). MSC: 65-XX 35L20 35L72 65H10 65M60 65N06 74G15 × Cite Format Result Cite Review PDF Full Text: Link
Keram, Aytura; Huang, Pengzhan Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 1545.35112 ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202400025, 17 p. (2024). MSC: 35Q35 35Q60 76W05 76D05 76T20 76U05 78A30 82D80 35D30 65M60 65M06 65N30 65B05 76M20 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuheng; Li, Yuan Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations. (English) Zbl 1547.65150 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108264, 17 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 80A19 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jing; Zhang, Yuting; Zhu, Danchen; Qian, Lingzhi An interior penalty discontinuous Galerkin reduced order model for the variable coefficient advection-diffusion-reaction equation. (English) Zbl 07899575 Numer. Algorithms 97, No. 1, 243-270 (2024). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zuo, Huimin; Zhu, Jun Increasingly high-order hybrid multi-resolution WENO schemes in multi-dimensions. (English) Zbl 07899003 J. Comput. Phys. 514, Article ID 113233, 17 p. (2024). MSC: 65M60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Eymard, Robert; Maltese, David Convergence of the incremental projection method using conforming approximations. (English) Zbl 1543.65150 Comput. Methods Appl. Math. 24, No. 3, 623-647 (2024). MSC: 65M60 35Q30 65M12 76M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Perera, Roberto; Agrawal, Vinamra Multiscale graph neural networks with adaptive mesh refinement for accelerating mesh-based simulations. (English) Zbl 07897569 Comput. Methods Appl. Mech. Eng. 429, Article ID 117152, 16 p. (2024). MSC: 74S05 65M55 65M60 74R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wilson, S. G.; Eaton, M. D.; Kópházi, J. Energy-dependent, self-adaptive mesh \(h(p)\)-refinement of an interior-penalty scheme for a discontinuous Galerkin isogeometric analysis spatial discretization of the multi-group neutron diffusion equation with dual-weighted residual error measures. (English) Zbl 07897042 J. Comput. Theor. Transp. 53, No. 4, 223-278 (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jie; Yang, Qingsong; Han, Jiayu Conforming element method and shifted-inverse two-grid dicretization for the fourth-order Steklov eigenvalue problem. (English) Zbl 1545.65416 J. Appl. Math. Comput. 70, No. 3, 2487-2506 (2024). MSC: 65N25 65N30 65N55 65F15 65N50 65N15 65Y05 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Changlun; Yao, Tingfu; Bi, Hai; Luo, Xianbing A variational Crank-Nicolson ensemble Monte Carlo algorithm for a heat equation under uncertainty. (English) Zbl 1542.65013 J. Comput. Appl. Math. 451, Article ID 116068, 17 p. (2024). MSC: 65C30 60H15 60H35 65C05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jinye; Zeng, Fanhai; Stynes, Martin Second-order error analysis of the averaged L1 scheme \(\overline{\text{L1}}\) for time-fractional initial-value and subdiffusion problems. (English) Zbl 1544.65141 Sci. China, Math. 67, No. 7, 1641-1664 (2024). MSC: 65M06 35R11 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Weishaupt, Kilian; Yotov, Ivan A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy. (English) Zbl 1541.65140 Comput. Geosci. 28, No. 3, 413-430 (2024). MSC: 65N22 65N30 76S05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yanli; Zhang, Tie; Sheng, Ying A primal-dual discontinuous Galerkin finite element method for ill-posed elliptic Cauchy problems. (English) Zbl 07886329 Adv. Appl. Math. Mech. 16, No. 4, 860-877 (2024). MSC: 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wanrun; Liang, Zhengzhao; Li, Li; Song, Wencheng Modeling of heat transfer and thermal cracking in brittle materials using finite-discrete element method (FDEM) with a heat pipe model and node binding scheme. (English) Zbl 1546.80001 Eng. Anal. Bound. Elem. 165, Article ID 105768, 18 p. (2024). MSC: 80-10 74-10 80A19 80M10 74F05 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Baiying; Li, Zhilin; Ruiz-Álvarez, Juan A stable FE-FD method for anisotropic parabolic PDEs with moving interfaces. (English) Zbl 1541.65066 Commun. Appl. Math. Comput. 6, No. 2, 992-1012 (2024). MSC: 65M06 65M60 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Abgrall, Rémi; Nassajian Mojarrad, Fatemeh An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic. (English) Zbl 1541.65086 Commun. Appl. Math. Comput. 6, No. 2, 963-991 (2024). MSC: 65M60 35L65 65M25 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Chengqiang; Wang, Yibo; Cao, Wanrong On strong convergence of a fully discrete scheme for solving stochastic strongly damped wave equations. (English) Zbl 1544.65028 Numer. Methods Partial Differ. Equations 40, No. 4, Article ID e23094, 32 p. (2024). MSC: 65C30 60H15 60H35 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yali; Han, Daozhi Fully decoupled unconditionally stable Crank-Nicolson leapfrog numerical methods for the Cahn-Hilliard-Darcy system. (English) Zbl 07882735 Numer. Methods Partial Differ. Equations 40, No. 4, Article ID e23087, 19 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wanxiang; Chen, Yanping; Zhou, Jianwei; Liang, Qin Unconditional error analysis of linearized BDF2 mixed virtual element method for semilinear parabolic problems on polygonal meshes. (English) Zbl 1542.65114 J. Comput. Appl. Math. 446, Article ID 115864, 13 p. (2024). MSC: 65M60 65M06 65N30 65H10 65M12 65M15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Ru, Min; Xu, Guangtao; Liu, Chuanqi An issue on the surface integrals with face decomposition in the virtual element method and its improvement without the decomposition. (English) Zbl 07875042 Comput. Methods Appl. Mech. Eng. 428, Article ID 117107, 19 p. (2024). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Vasilyeva, Maria; Coffin, Richard B.; Pecher, Ingo Decoupled multiscale numerical approach for reactive transport in marine sediment column. (English) Zbl 07875027 Comput. Methods Appl. Mech. Eng. 428, Article ID 117087, 24 p. (2024). MSC: 74F10 76M10 76T20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Fan; Cui, Ming; Zhou, Chenguang Discontinuous Galerkin method for nonlinear quasi-static poroelasticity problems. (English) Zbl 1549.65351 Int. J. Numer. Anal. Model. 21, No. 2, 201-220 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 74F10 74L10 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Renyuan; Zhang, Min An analytical study on vortex-induced vibrations of cylinders with variable cross-section in the range of low Reynolds numbers. (English) Zbl 1542.74030 Int. J. Comput. Methods Eng. Sci. Mech. 25, No. 2, 45-55 (2024). MSC: 74H45 74K10 74F10 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Ati, Dania; Agroum, Rahma; Koko, Jonas A priori error analysis and finite element approximations for a coupled model under nonlinear slip boundary conditions. (English) Zbl 07867865 J. Math. Fluid Mech. 26, No. 3, Paper No. 49, 30 p. (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 76M10 76M20 76D05 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Jana, Puspendu; Kumar, Naresh; Deka, Bhupen Weak Galerkin finite element methods for semilinear Klein-Gordon equation on polygonal meshes. (English) Zbl 1549.65370 Comput. Appl. Math. 43, No. 4, Paper No. 218, 25 p. (2024). MSC: 65M60 65M06 65N30 65M12 35L71 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Yu, Liu; Yao, Changhui An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations. (English) Zbl 07861507 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108082, 17 p. (2024). MSC: 65M60 65L06 65B05 65M12 65M15 35Q55 35Q41 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xing; Yang, Yumeng Strong convergence analysis of spectral fractional diffusion equation driven by Gaussian noise with Hurst parameter less than \(\frac{1}{2}\). (English) Zbl 07861487 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108049, 13 p. (2024). MSC: 65-XX 35R11 65M60 65L20 65C30 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Mengqing; Feng, Xinlong; Wang, Kun Fully discrete stabilized mixed finite element method for chemotaxis equations on surfaces. (English) Zbl 1540.92010 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108042, 21 p. (2024). MSC: 92-08 65N30 65N12 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, N.; Toprakseven, S.; Singh Yadav, N.; Yuan, J. Y. A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh. (English) Zbl 1542.65111 Appl. Numer. Math. 201, 322-346 (2024). MSC: 65M60 65M06 65N30 65M12 65D05 35B30 35A21 × Cite Format Result Cite Review PDF Full Text: DOI
Manimaran, J.; Shangerganesh, L.; Zaky, M. A.; Akgül, A.; Hendy, A. S. Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme. (English) Zbl 07859298 Appl. Numer. Math. 201, 145-158 (2024). MSC: 65Mxx 35Kxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Xiaolong; Shi, Dongyang; Song, Shicang; Zou, Shijun A high-order limiter-free arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme for compressible multi-material flows. (English) Zbl 1544.65181 Appl. Math. Lett. 153, Article ID 109076, 6 p. (2024). MSC: 65M60 76M10 76N15 × Cite Format Result Cite Review PDF Full Text: DOI