Chaskalovic, Joël; Assous, Franck Enhancing interpolation and approximation error estimates using a novel Taylor-like formula. (English) Zbl 07900354 J. Comput. Appl. Math. 453, Article ID 116153, 11 p. (2025). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M06 65N06 65D05 65M15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tomanović, Jelena Error estimates for Gauss-type quadrature rules for variable-sign weight functions. (English) Zbl 07919859 ETNA, Electron. Trans. Numer. Anal. 61, 92-104 (2024). MSC: 65D30 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Bayarassou, N.; Hamrani, F.; Ould Saïd, E. Nonparametric relative error estimation of the regression function for left truncated and right censored time series data. (English) Zbl 07919213 J. Nonparametric Stat. 36, No. 3, 706-729 (2024). MSC: 62Gxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yachun; Lu, Peng; Zhao, Liang Global-in-time error estimates of non-relativistic limits for Euler-Maxwell system near non-constant equilibrium. (English) Zbl 07916227 Nonlinear Anal., Real World Appl. 80, Article ID 104163, 13 p. (2024). MSC: 35B25 35L60 35Q60 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Dolejší, Vít; Shin, Hyun-Geun; Vlasák, Miloslav Error estimates and adaptivity of the space-time discontinuous Galerkin method for solving the Richards equation. (English) Zbl 07915985 J. Sci. Comput. 101, No. 1, Paper No. 11, 39 p. (2024). MSC: 65M60 65M15 65M50 76S05 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Shi, Jiankang; Chen, Minghua; Cao, Jianxiong High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term. (English) Zbl 07915983 J. Sci. Comput. 101, No. 1, Paper No. 9, 22 p. (2024). MSC: 65M06 65N06 65D32 65M15 65M12 35A21 44A10 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhong, Xinghui; Qiu, Changxin; Yan, Jue Direct discontinuous Galerkin method with interface correction for the Keller-Segel chemotaxis model. (English) Zbl 07915982 J. Sci. Comput. 101, No. 1, Paper No. 8, 32 p. (2024). MSC: 65M60 65M06 65L06 65N30 65M15 65M12 35B65 92C17 92-08 35Q92 × 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 07915961 J. Sci. Comput. 101, No. 1, Paper No. 22, 49 p. (2024). MSC: 65M60 65M06 65N30 65Y05 65N15 76N10 76S05 60G10 35R35 35A15 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ying; Shi, Hui; Zhong, Xinghui Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations. (English) Zbl 07915953 J. Sci. Comput. 101, No. 1, Paper No. 4, 39 p. (2024). MSC: 65M60 65M06 65N30 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ruili; Liu, Tong; Wang, Bin; Liu, Jian; Tang, Yifa Structure-preserving algorithm and its error estimate for the relativistic charged-particle dynamics under the strong magnetic field. (English) Zbl 07909818 J. Sci. Comput. 100, No. 3, Paper No. 70, 29 p. (2024). MSC: 65L05 78A35 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Xuelin Error estimates for finite element approximation to elliptic optimal control problems with boundary observations in \(H^{-\frac{1}{2}}(\Gamma)\). (English) Zbl 07908869 Adv. Appl. Math. Mech. 16, No. 5, 1152-1175 (2024). MSC: 49M25 49M41 49K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Anani, Kwassi Analytical approximations in short times of exact operational solutions to reaction-diffusion problems on bounded intervals. (English) Zbl 07907440 Appl. Appl. Math. 19, No. 1, Paper No. 11, 27 p. (2024). MSC: 35A09 35K05 44A10 × Cite Format Result Cite Review PDF Full Text: Link
Liu, Li-Bin; Xu, Lei; Xu, Yinuo; Huang, Zaitang An adaptive grid method for a two-parameter singularly perturbed problem with non-smooth data. (English) Zbl 07903716 Appl. Math. Lett. 157, Article ID 109200, 6 p. (2024). MSC: 65L11 65L20 65L50 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang Stability analysis and error estimate of the explicit single-step time-marching discontinuous Galerkin methods with stage-dependent numerical flux parameters for a linear hyperbolic equation in one dimension. (English) Zbl 07902990 J. Sci. Comput. 100, No. 3, Paper No. 64, 47 p. (2024). MSC: 65M60 65L06 65M12 65M15 35E15 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Junpeng; Rui, Hongxing A reduced-order two-grid method based on POD technique for the semilinear parabolic equation. (English) Zbl 07901906 Appl. Numer. Math. 205, 240-254 (2024). MSC: 65M55 65N50 65M60 65M06 65N30 65M99 65M12 65M15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xuewei; Yang, Zhanwen; Ma, Qiang; Ding, Xiaohua A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation. (English) Zbl 07901870 Appl. Numer. Math. 204, 1-25 (2024). MSC: 65M60 65M06 65N30 65P10 65M12 65M15 35Q53 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Zirui; Hou, Tianliang A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen-Cahn equation. (English) Zbl 07901132 Appl. Math. Lett. 158, Article ID 109250, 6 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B50 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xinyu; Cheng, Xiaoliang; Xuan, Hailing Error estimates and numerical simulations of a thermoviscoelastic contact problem with damage and long memory. (English) Zbl 07900576 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108165, 20 p. (2024). MSC: 74M15 74M10 74F05 74D05 74H15 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Xianli; Feng, Xiufang Identification of unknown sources in time-space fractional parabolic equation. (English) Zbl 07900497 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 4, Article ID 2450010, 21 p. (2024). MSC: 35R30 35A22 35R11 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Venkatesh, S. G.; Raja Balachandar, S.; Jafari, H.; Raja, S. P. Error analysis for a spectral element method for solving two-parameter singularly perturbed diffusion equation. (English) Zbl 07900484 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 4, Article ID 2350064, 20 p. (2024). MSC: 65L11 34B05 34D15 65L60 65L70 × 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 07899966 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
Ding, Qianqian; Mao, Shipeng; Wang, Xiaorong Error analysis of a fully discrete projection method for Cahn-Hilliard inductionless MHD problems. (English) Zbl 07899914 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108195, 22 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Pei, Lifang; Wei, Yifan; Zhang, Jiwei Unconditional optimal \(H^1\)-norm error estimate and superconvergence analysis of a linearized nonconforming finite element variable-time-step BDF2 method for the nonlinear complex Ginzburg-Landau equation. (English) Zbl 07899912 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108193, 21 p. (2024). MSC: 65Mxx 65Nxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Yang, Zongze; Zhou, Zhi High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. (English) Zbl 07899590 Math. Comput. 93, No. 350, 2557-2586 (2024). MSC: 65M30 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Huadong; Xie, Wen A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow. (English) Zbl 07899543 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23097, 22 p. (2024). MSC: 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Weizhu; Wang, Chushan An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. (English) Zbl 07899522 SIAM J. Numer. Anal. 62, No. 4, 1901-1928 (2024). MSC: 35Q55 35Q41 65M15 65M70 81Q05 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Dingwen; Lin, Shuhua; Wang, Qihong A class of Monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation. (English) Zbl 07899249 Comput. Math. Appl. 170, 1-24 (2024). MSC: 65-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito Accurate approximations of classical and generalized binomial coefficients. (English) Zbl 07899231 Comput. Appl. Math. 43, No. 6, Paper No. 341, 13 p. (2024). Reviewer: Thomas Ernst (Uppsala) MSC: 33B15 26D07 05A10 11B65 41A20 41A30 41A60 41A17 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zadorin, A. I. Formulas for numerical differentiation on a uniform mesh in the presence of a boundary layer. (English) Zbl 07897442 Comput. Math. Math. Phys. 64, No. 6, 1167-1175 (2024). MSC: 65D25 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Pradhan, Gouranga; Deka, Bhupen Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes. (English) Zbl 07896745 BIT 64, No. 3, Paper No. 28, 28 p. (2024). MSC: 65M60 65M06 65N30 65N15 65N12 35Q35 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical methods for forward fractional Feynman-Kac equation. (English) Zbl 07896657 Adv. Comput. Math. 50, No. 3, Paper No. 58, 40 p. (2024). MSC: 65M60 65M06 65N30 65D32 65M12 65M15 26A33 35R11 35B65 82C31 35Q84 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Przybilla, Jennifer; Pontes Duff, Igor; Benner, Peter Semi-active damping optimization of vibrational systems using the reduced basis method. (English) Zbl 07896655 Adv. Comput. Math. 50, No. 3, Paper No. 56, 28 p. (2024). MSC: 70Q05 70J35 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ma, Jun; Chen, Hu Local error estimate of L1 scheme on graded mesh for time fractional Schrödinger equation. (English) Zbl 07895368 J. Appl. Math. Comput. 70, No. 4, 3161-3174 (2024). MSC: 65M06 35R11 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shuo; Shen, Wanfang; Zhou, Zhaojie Virtual element method for semilinear elliptic Neumann boundary optimal control problem. (English) Zbl 07894782 Comput. Math. Appl. 168, 218-238 (2024). MSC: 65-XX 49-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Keyan Two-grid methods for nonlinear pseudo-parabolic integro-differential equations by finite element method. (English) Zbl 07894779 Comput. Math. Appl. 168, 174-189 (2024). MSC: 65-XX 76-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 07893870 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
Pradhan, Gouranga; Deka, Bhupen Optimal convergence analysis of the virtual element methods for second-order Sobolev equations with variable coefficients on polygonal meshes. (English) Zbl 07893863 J. Appl. Math. Comput. 70, No. 3, 2313-2341 (2024). MSC: 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Chongna; Yang, Minghui; Zhou, Zhaojie The nonconforming virtual element method for optimal control problem governed by Stokes equations. (English) Zbl 07893849 J. Appl. Math. Comput. 70, No. 3, 2019-2043 (2024). MSC: 65N30 65N50 76D07 76D55 76M10 93C20 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Yubing; Chen, Hu Local convergence analysis of L1-ADI scheme for two-dimensional reaction-subdiffusion equation. (English) Zbl 07893846 J. Appl. Math. Comput. 70, No. 3, 1953-1964 (2024). MSC: 65M06 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kashiwabara, Takahito; Kemmochi, Tomoya Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor. (English) Zbl 07892756 SIAM J. Numer. Anal. 62, No. 4, 1638-1659 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35B45 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jun; Yang, Xiaohu; Mei, Fulin; Ji, Zhimei; Zhang, Yu Error estimate of full-discrete numerical scheme for the nonlocal Allen-Cahn model. (English) Zbl 07892713 J. Math. Res. Appl. 44, No. 3, 344-358 (2024). MSC: 35K45 65J15 65G20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Yuping; Zhong, Liuqiang; Wang, Feng; Cai, Mingchao; Zhang, Shangyou Low regularity error analysis for an \(H(\operatorname{div})\)-conforming discontinuous Galerkin approximation of Stokes problem. (English) Zbl 07890946 J. Comput. Appl. Math. 451, Article ID 116118, 14 p. (2024). MSC: 65N30 65N15 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Mengmeng; Yang, Yan; Feng, Minfu A defect correction weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 07890930 J. Comput. Appl. Math. 451, Article ID 116099, 25 p. (2024). MSC: 65Nxx 65Mxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Goligerdian, Arash; Oshagh, Mahmood Khaksar-e; Jaberi-Douraki, Majid Applying thin plate splines to the Galerkin method for the numerical simulation of a nonlinear model for population dynamics. (English) Zbl 07890877 J. Comput. Appl. Math. 451, Article ID 116036, 18 p. (2024). MSC: 45D05 45G05 65D12 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yanwei; Liu, Huipo; Zhou, Zhaojie Virtual element discretization method to optimal control problem governed by Stokes equations with pointwise control constraint on arbitrary polygonal meshes. (English) Zbl 07890853 J. Comput. Appl. Math. 450, Article ID 116002, 19 p. (2024). MSC: 65Nxx 49Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yang; Yang, Xuehua A time two-grid difference method for nonlinear generalized viscous Burgers’ equation. (English) Zbl 07887315 J. Math. Chem. 62, No. 6, 1323-1356 (2024). MSC: 65M06 65N06 65M12 65M15 65M55 65M50 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Quan; Liu, Zhongli Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems. (English) Zbl 07886674 J. Appl. Math. Comput. 70, No. 1, 601-618 (2024). MSC: 65L10 65L11 65L12 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Qiao, Haili; Cheng, Aijie A fast finite difference method for 2D time variable fractional mobile/immobile equation. (English) Zbl 07886670 J. Appl. Math. Comput. 70, No. 1, 551-577 (2024). MSC: 65Mxx 35Rxx 26Axx × Cite Format Result Cite Review PDF Full Text: DOI
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
Guo, Yayu; Azaïez, Mejdi; Xu, Chuanju Error analysis of a reduced order method for the Allen-Cahn equation. (English) Zbl 07885883 Appl. Numer. Math. 203, 186-201 (2024). MSC: 65Mxx 35Kxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Minghui; Zhou, Zhaojie Mixed virtual element methods for elliptic optimal control problems with boundary observations in \(L^2(\Gamma)\). (English) Zbl 07885877 Appl. Numer. Math. 203, 97-112 (2024). MSC: 65N30 65N15 49J20 49M41 93B05 35B65 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Habibirad, Ali; Baghani, Omid; Azin, Hadis; Zaferanieh, Mehdi; Inc, Mustafa An efficient meshless numerical method with the error estimate for two-dimensional Schrödinger equation. (English) Zbl 07885863 Appl. Numer. Math. 202, 143-157 (2024). MSC: 65Mxx 35Qxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yuejie; Li, Huanrong; Zeng, Yihui; Luo, Zhendong A preserving accuracy two-grid reduced-dimensional Crank-Nicolson mixed finite element method for nonlinear wave equation. (English) Zbl 07885855 Appl. Numer. Math. 202, 1-20 (2024). MSC: 65Mxx 65Nxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Jinhe; Yin, Zhe; Zhu, Ailing \(H^1\)-Galerkin mixed finite element method for the vibration equation of beam with structural damping. (English) Zbl 07884757 Comput. Appl. Math. 43, No. 5, Paper No. 308, 21 p. (2024). MSC: 65M60 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Sajjadi, Sayed Arsalan; Saberi Najafi, Hashem; Aminikhah, Hossein An efficient numerical method based on ultraspherical polynomials for linear weakly singular fractional Volterra integro-differential equations. (English) Zbl 07883083 Math. Methods Appl. Sci. 47, No. 12, 10293-10308 (2024). MSC: 26A33 47G20 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Maji, Sandip; Natesan, Srinivasan Error analysis for discontinuous Galerkin method for time-fractional Burgers’ equation. (English) Zbl 07883052 Math. Methods Appl. Sci. 47, No. 12, 9703-9717 (2024). MSC: 35R11 65M12 65M15 65M60 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Wei; He, Jiawei; Xiao, Aiguo A space-time Galerkin Müntz spectral method for the time fractional Fokker-Planck equation. (English) Zbl 07880533 Int. J. Comput. Math. 101, No. 4, 407-431 (2024). MSC: 35R11 65M70 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Jie; Xie, Shusen; Fu, Hongfei Maximum-norm error estimates of fourth-order compact and ADI compact finite difference methods for nonlinear coupled bacterial systems. (English) Zbl 07880216 J. Sci. Comput. 100, No. 2, Paper No. 33, 39 p. (2024). MSC: 65-XX 35K51 35Q92 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeng, Yuping; Zhong, Liuqiang; Cai, Mingchao; Wang, Feng; Zhang, Shangyou Conforming and nonconforming virtual element methods for Signorini problems. (English) Zbl 07878716 J. Sci. Comput. 100, No. 1, Paper No. 18, 25 p. (2024). MSC: 35J05 35J86 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Baldonedo, Jacobo; Fernández, José R.; Quintanilla, Ramón Fully discrete approximations and an a priori error analysis of a two-temperature thermo-elastic model with microtemperatures. (English) Zbl 07875991 Int. J. Appl. Math. Comput. Sci. 34, No. 1, 93-103 (2024). MSC: 74F05 74F15 74H20 74H40 74S05 74S20 65M15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ji, Bingquan Convergence analysis of high-order IMEX-BDF schemes for the incompressible Navier-Stokes equations. (English) Zbl 07875896 Comput. Fluids 275, Article ID 106251, 12 p. (2024). MSC: 76-XX 35Q99 65M06 65M12 74A50 × Cite Format Result Cite Review PDF Full Text: DOI
Ha, Vo Thi Thanh; Phuong, Nguyen Duc On recovering the source term for the heat equation with memory term. (English) Zbl 07875331 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 44, No. 1, Math., 63-78 (2024). MSC: 35R30 47J06 47H10 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yangshuai; Kermode, James R.; Ortner, Christoph; Zhang, Lei A posteriori error estimate and adaptivity for QM/MM models of crystalline defects. (English) Zbl 07875036 Comput. Methods Appl. Mech. Eng. 428, Article ID 117097, 22 p. (2024). MSC: 92-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Menghan; Xie, Xiaoping A hybrid stress finite element method for integro-differential equations modelling dynamic fractional order viscoelasticity. (English) Zbl 07874380 Int. J. Numer. Anal. Model. 21, No. 2, 221-243 (2024). MSC: 65-XX 35Q74 35R09 65M12 65M60 35R11 × 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 07874379 Int. J. Numer. Anal. Model. 21, No. 2, 201-220 (2024). MSC: 65M60 65M15 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Jie; Xie, Yingying; Zhong, Liuqiang A posteriori error estimate for a WG method of \(\boldsymbol{H}\)(curl)-elliptic problems. (English) Zbl 07873682 J. Numer. Math. 32, No. 2, 157-174 (2024). MSC: 65N30 65N15 35A15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuan; Xing, Yulong Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. (English) Zbl 07872155 Math. Comput. 93, No. 349, 2135-2183 (2024). MSC: 65M60 35G25 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Li, Meng Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations. (English) Zbl 07870802 Adv. Comput. Math. 50, No. 3, Paper No. 43, 33 p. (2024). MSC: 65M60 65N30 65M12 65M15 35K55 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Bo; Ma, Ying; Wang, Chushan A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential. (English) Zbl 07870134 J. Comput. Phys. 512, Article ID 113133, 17 p. (2024). MSC: 65Mxx 35Qxx 35Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Fengxin; Yang, Minghui; Zhou, Zhaojie Two-grid virtual element discretization of quasilinear elliptic problem. (English) Zbl 1541.65146 Math. Model. Anal. 29, No. 1, 77-89 (2024). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Dautov, R. Z. Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\). (English. Russian original) Zbl 07868685 Russ. Math. 68, No. 1, 11-29 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 1, 14-34 (2024). MSC: 41A10 41A17 41A27 41A81 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Xuan; Li, Ziyan Error analyses on block-centered finite difference schemes for distributed-order non-Fickian flow. (English) Zbl 07866643 Numer. Methods Partial Differ. Equations 40, No. 3, Article ID e23078, 20 p. (2024). MSC: 65Mxx 76Mxx 76Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Yuping; Zhong, Liuqiang; Wang, Feng; Zhang, Shangyou; Cai, Mingchao A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. (English) Zbl 1541.65166 J. Comput. Appl. Math. 445, Article ID 115819, 13 p. (2024). MSC: 65N30 65N12 65N15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Bazarra, N.; Fernández, J. R.; Quintanilla, R. A strain gradient problem with a fourth-order thermal law. (English) Zbl 1541.74018 J. Comput. Appl. Math. 445, Article ID 115818, 11 p. (2024). MSC: 74F05 74H20 74H25 74S05 74S20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Huanrong; Li, Yuejie; Zeng, Yihui; Luo, Zhendong A reduced-dimension extrapolation two-grid Crank-Nicolson finite element method of unknown solution coefficient vectors for spatial fractional nonlinear Allen-Cahn equations. (English) Zbl 07863385 Comput. Math. Appl. 167, 110-122 (2024). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Maimaiti, Halimang; Liu, Demin The gauge-Uzawa methods for incompressible fluids with microstructure. (English) Zbl 07861244 Math. Methods Appl. Sci. 47, No. 6, 4165-4184 (2024). MSC: 35M33 65M12 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Wanassi, Om Kalthoum; Bourguiba, Rim; Torres, Delfim F. M. Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method. (English) Zbl 07861214 Math. Methods Appl. Sci. 47, No. 5, 3582-3595 (2024). MSC: 65L05 65L70 34A08 26A33 34B10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Liang, Youlei; Liu, Demin Pressure stabilization method for the 2D/3D time-dependent natural convection equations with salt concentration. (English) Zbl 07859467 ZAMM, Z. Angew. Math. Mech. 104, No. 4, Article ID e202300634, 31 p. (2024). MSC: 76M20 76R10 80A19 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qifeng Error estimates of compact and hybrid Richardson schemes for the parabolic equation. (English) Zbl 07858957 Appl. Math. Lett. 153, Article ID 109078, 6 p. (2024). MSC: 65Mxx 65Lxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yongshuai; Peng, Zhenjiang; Al Mahbub, Md. Abdullah; Zheng, Haibiao Partitioned schemes for the blood solute dynamics model by the variational multiscale method. (English) Zbl 07856308 Appl. Numer. Math. 198, 318-345 (2024). MSC: 76M30 76Z05 76D05 92C35 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Rathi, Anil; Sahoo, Dipak Kumar; Kumar, B. V. Rathish Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow. (English) Zbl 07856292 Appl. Numer. Math. 198, 43-74 (2024). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 76M10 76M30 76W05 76D07 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Nam, Bui Duc; Huynh, Le Nhat; Long, Le Dinh; Gurefe, Yusuf On terminal value problem for fractional superdiffusive of Sobolev equation type. (English) Zbl 07856217 Discrete Contin. Dyn. Syst., Ser. S 17, No. 3, 1195-1207 (2024). MSC: 35R25 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Raeisi, Banafsheh; Darani, Mohammadreza Ahmadi; Fardi, Mojtaba The direct RBF-based partition of unity method for solving nonlinear fractional parabolic equations. (English) Zbl 07855379 Eng. Anal. Bound. Elem. 163, 273-281 (2024). MSC: 65D12 82M22 80M22 65Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yan; Qian, Zhi Regularizing a two-dimensional time-fractional inverse heat conduction problem by a fractional Landweber iteration method. (English) Zbl 07853326 Comput. Math. Appl. 164, 104-115 (2024). MSC: 65-XX 80-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuo; Zheng, Xiangcheng; Du, Ning Finite element method for an optimal control problem governed by a time fractional wave equation. (English) Zbl 07853322 Comput. Math. Appl. 164, 45-66 (2024). MSC: 49-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Rui; Zhou, Mingbo; Bu, Linlin; Chen, Zhangxin Discontinuous Galerkin method for the coupled dual-porosity-Brinkman model. (English) Zbl 07853306 Comput. Math. Appl. 163, 84-102 (2024). MSC: 76-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zhiyong; Wang, Mingyi; Wang, Yunxia A Crank-Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1540.76138 Commun. Nonlinear Sci. Numer. Simul. 134, Article ID 108016, 33 p. (2024). MSC: 76M20 76M10 76W05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lai, Dan; Huang, Pengzhan; He, Yinnian One- and two-level Arrow-Hurwicz-type iterative algorithms for the stationary Smagorinsky model. (English) Zbl 07853266 Commun. Nonlinear Sci. Numer. Simul. 134, Article ID 108001, 20 p. (2024). MSC: 65N30 65N55 65N12 65N15 76D05 76F65 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Zhihui; Li, Hong Numerical analysis of a space-time continuous Galerkin method for the nonlinear Sobolev equation. (English) Zbl 07852435 J. Math. Anal. Appl. 531, No. 2, Part 2, Article ID 127845, 24 p. (2024). MSC: 65Mxx 35Kxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Duc, Nam Bui; Hai, Nguyen Minh; Hoan, Luu Vu Cam; Long, Le Dinh On inverse source term for heat equation with memory term. (English) Zbl 1540.35465 Demonstr. Math. 57, Article ID 20230138, 11 p. (2024). MSC: 35R30 47J06 47H10 35K20 35R09 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Jin, Bangti; Li, Xiyao; Quan, Qimeng; Zhou, Zhi Conductivity imaging from internal measurements with mixed least-squares deep neural networks. (English) Zbl 1537.65160 SIAM J. Imaging Sci. 17, No. 1, 147-187 (2024). MSC: 65N21 35R30 68T07 78A46 92C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Mingchao; Qiu, Wenlin Finite element approximation and analysis of damped viscoelastic hyperbolic integrodifferential equations with \(L^1\) kernel. (English) Zbl 1539.65206 Appl. Math. Lett. 151, Article ID 108993, 6 p. (2024). MSC: 65R20 45K05 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Shang, Yueqiang; Zhu, Jiali; Zheng, Bo A parallel finite element discretization algorithm based on grad-div stabilization for the Navier-Stokes equations. (English) Zbl 07850264 J. Math. Fluid Mech. 26, No. 3, Paper No. 42, 23 p. (2024). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 65N55 65N15 65N30 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Maji, Sandip; Natesan, Srinivasan Superconvergence analysis of Interior penalty discontinuous Galerkin method for a class of time-fractional diffusion problems. (English) Zbl 07846895 Comput. Appl. Math. 43, No. 3, Paper No. 133, 16 p. (2024). MSC: 65-XX 35R11 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jun; Zhang, Hui; Cao, Junying; Chen, Hu A second-order accurate and unconditionally energy stable numerical scheme for nonlinear sine-Gordon equation. (English) Zbl 07845451 J. Math. Anal. Appl. 537, No. 2, Article ID 128288, 17 p. (2024). MSC: 65Mxx 35Qxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Tam, Vo Minh; Huang, Xiezhen Double phase obstacle problems involving set-valued convection and mixed boundary value conditions: upper-bound error estimates. (English) Zbl 07845375 Rocky Mt. J. Math. 54, No. 2, 593-610 (2024). MSC: 47J20 49J40 49K40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fontana, Ilaria; Di Pietro, Daniele A. An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact. (English) Zbl 1539.74256 Comput. Methods Appl. Mech. Eng. 425, Article ID 116950, 26 p. (2024). MSC: 74M15 65N15 65N30 65N50 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Guotao; Zhang, Dazhi; Li, Jia; Wu, Boying An ultra-weak local discontinuous Galerkin method with generalized numerical fluxes for the KdV-Burgers-Kuramoto equation. (English) Zbl 1541.65103 J. Sci. Comput. 99, No. 3, Paper No. 65, 33 p. (2024). MSC: 65M60 65M12 65M15 65L06 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Chai, Shimin; Zhou, Chenguang Spectral Galerkin method for Cahn-Hilliard equations with time periodic solution. (English) Zbl 1541.65119 Discrete Contin. Dyn. Syst., Ser. B 29, No. 7, 3046-3057 (2024). MSC: 65M70 65M06 65N35 65M15 35B10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Yuhua; Wei, Ting Uniqueness and numerical method for determining a spatial source term in a time-fractional diffusion wave equation. (English) Zbl 07839669 J. Sci. Comput. 99, No. 2, Paper No. 51, 36 p. (2024). MSC: 65Mxx 35Rxx 26Axx × Cite Format Result Cite Review PDF Full Text: DOI