Ge, Zhihao; Li, Hairun; Li, Tingting Multirate time iterative scheme with multiphysics finite element method for a nonlinear poroelasticity. (English) Zbl 07806685 J. Comput. Math. 42, No. 2, 597-616 (2024). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{Z. Ge} et al., J. Comput. Math. 42, No. 2, 597--616 (2024; Zbl 07806685) Full Text: DOI
Chen, Shi; Ding, Zhiyan; Li, Qin; Wright, Stephen J. A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks. (English) Zbl 07806684 J. Comput. Math. 42, No. 2, 570-596 (2024). MSC: 65N55 35J66 41A46 68T07 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Comput. Math. 42, No. 2, 570--596 (2024; Zbl 07806684) Full Text: DOI arXiv
Yao, Changhui; Zhang, Fengdan; Wang, Cheng A scalar auxiliary variable (SAV) finite element numerical scheme for the Cahn-Hilliard-Hele-Shaw system with dynamic boundary conditions. (English) Zbl 07806683 J. Comput. Math. 42, No. 2, 544-569 (2024). MSC: 65N06 65B99 PDFBibTeX XMLCite \textit{C. Yao} et al., J. Comput. Math. 42, No. 2, 544--569 (2024; Zbl 07806683) Full Text: DOI
Li, Meng; Zhao, Jikun; Chen, Shaochun Unconditional error analysis of VEMs for a generalized nonlinear Schrödinger equation. (English) Zbl 07806682 J. Comput. Math. 42, No. 2, 500-543 (2024). MSC: 65N35 65N12 76D07 65N15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Comput. Math. 42, No. 2, 500--543 (2024; Zbl 07806682) Full Text: DOI
Li, Meng; Zhao, Jikun; Wang, Zhongchi; Chen, Shaochun Conservative conforming and nonconforming vems for fourth order nonlinear Schrödinger equations with trapped term. (English) Zbl 07806681 J. Comput. Math. 42, No. 2, 454-499 (2024). MSC: 65N35 65N12 76D07 65N15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Comput. Math. 42, No. 2, 454--499 (2024; Zbl 07806681) Full Text: DOI
Baccouch, Mahboub An efficient finite difference method for stochastic linear second-order boundary-value problems driven by additive white noises. (English) Zbl 07806680 J. Comput. Math. 42, No. 2, 432-453 (2024). MSC: 65C30 65L12 65L20 60H35 39A50 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Comput. Math. 42, No. 2, 432--453 (2024; Zbl 07806680) Full Text: DOI
Wu, Yanmi; Shi, Dongyang Uniform superconvergence analysis of a two-grid mixed finite element method for the time-dependent bi-wave problem modeling \(D\)-wave superconductors. (English) Zbl 07806679 J. Comput. Math. 42, No. 2, 415-431 (2024). MSC: 65M60 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{D. Shi}, J. Comput. Math. 42, No. 2, 415--431 (2024; Zbl 07806679) Full Text: DOI
Tang, Shiping; Yang, Aili; Wu, Yujiang Banded \(M\)-matrix splitting preconditioner for Riesz space fractional reaction-dispersion equation. (English) Zbl 07806677 J. Comput. Math. 42, No. 2, 372-389 (2024). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{S. Tang} et al., J. Comput. Math. 42, No. 2, 372--389 (2024; Zbl 07806677) Full Text: DOI
Wang, Wansheng Stability and convergence of stepsize-dependent linear multistep methods for nonlinear dissipative evolution equations in Banach space. (English) Zbl 07806675 J. Comput. Math. 42, No. 2, 337-354 (2024). MSC: 65J15 65M12 65M15 65J08 PDFBibTeX XMLCite \textit{W. Wang}, J. Comput. Math. 42, No. 2, 337--354 (2024; Zbl 07806675) Full Text: DOI
Yang, Wenli; Huang, Zhongyi; Zhu, Wei Image super-resolution reconstruction by Huber regularization and tailored finite point method. (English) Zbl 07806674 J. Comput. Math. 42, No. 2, 313-336 (2024). MSC: 65M32 68U10 65K10 PDFBibTeX XMLCite \textit{W. Yang} et al., J. Comput. Math. 42, No. 2, 313--336 (2024; Zbl 07806674) Full Text: DOI
Zhang, Gengen; Su, Chunmei Uniform error bounds of a conservative compact finite difference method for the quantum Zakharov system in the subsonic limit regime. (English) Zbl 07803031 J. Comput. Math. 42, No. 1, 289-312 (2024). MSC: 35Q55 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{C. Su}, J. Comput. Math. 42, No. 1, 289--312 (2024; Zbl 07803031) Full Text: DOI
Wang, Lina; Tong, Qian; Yi, Lijun; Zhang, Mingzhu Legendre-Gauss-Radau spectral collocation method for nonlinear second-order initial value problems with applications to wave equations. (English) Zbl 07803028 J. Comput. Math. 42, No. 1, 217-247 (2024). MSC: 65M70 41A10 65L05 35L05 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Comput. Math. 42, No. 1, 217--247 (2024; Zbl 07803028) Full Text: DOI
Zhao, Jingjun; Zhao, Wenjiao; Xu, Yang A direct discontinuous Galerkin method for time fractional diffusion equations with fractional dynamic boundary conditions. (English) Zbl 07803026 J. Comput. Math. 42, No. 1, 156-177 (2024). MSC: 65M12 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Comput. Math. 42, No. 1, 156--177 (2024; Zbl 07803026) Full Text: DOI
Zhai, Xiaoya Alternating optimization method for isogeometric topology optimization with stress constraints. (English) Zbl 07803025 J. Comput. Math. 42, No. 1, 134-155 (2024). MSC: 49J20 65J15 65N30 PDFBibTeX XMLCite \textit{X. Zhai}, J. Comput. Math. 42, No. 1, 134--155 (2024; Zbl 07803025) Full Text: DOI
Guo, Ruihan; Xu, Yan Semi-implicit spectral deferred correction methods based on second-order time integration schemes for nonlinear PDEs. (English) Zbl 07803024 J. Comput. Math. 42, No. 1, 111-133 (2024). MSC: 65M60 35L75 35G25 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, J. Comput. Math. 42, No. 1, 111--133 (2024; Zbl 07803024) 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 07803023 J. Comput. Math. 42, No. 1, 71-110 (2024). MSC: 76M10 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{S. Mao} et al., J. Comput. Math. 42, No. 1, 71--110 (2024; Zbl 07803023) Full Text: DOI
Dong, Xiaojing; He, Yinnian Convergence analysis of some finite element parallel algorithms for the stationary incompressible MHD equations. (English) Zbl 07803022 J. Comput. Math. 42, No. 1, 49-70 (2024). MSC: 35Q30 65M60 65N30 76D05 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Y. He}, J. Comput. Math. 42, No. 1, 49--70 (2024; Zbl 07803022) Full Text: DOI
Jauny; Ghosh, Debdas; Upadhayay, Ashutosh A Newton-type globally convergent interior-point method to solve multi-objective optimization problems. (English) Zbl 07803021 J. Comput. Math. 42, No. 1, 24-48 (2024). MSC: 65N06 65B99 PDFBibTeX XMLCite \textit{Jauny} et al., J. Comput. Math. 42, No. 1, 24--48 (2024; Zbl 07803021) Full Text: DOI
Wang, Haijin; Xu, Anping; Tao, Qi Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 07803020 J. Comput. Math. 42, No. 1, 1-23 (2024). MSC: 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Comput. Math. 42, No. 1, 1--23 (2024; Zbl 07803020) Full Text: DOI
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin On discrete energy dissipation of Maxwell’s equations in a Cole-Cole dispersive medium. (English) Zbl 07750351 J. Comput. Math. 41, No. 5, 980-1002 (2023). MSC: 65N06 65B99 PDFBibTeX XMLCite \textit{B. Yin} et al., J. Comput. Math. 41, No. 5, 980--1002 (2023; Zbl 07750351) Full Text: DOI
Liu, Chunxiao; Zhu, Shengfeng On finite element approximations to a shape gradient flow in shape optimization of elliptic problems. (English) Zbl 07750350 J. Comput. Math. 41, No. 5, 956-979 (2023). MSC: 65D15 65N30 49Q12 PDFBibTeX XMLCite \textit{C. Liu} and \textit{S. Zhu}, J. Comput. Math. 41, No. 5, 956--979 (2023; Zbl 07750350) Full Text: DOI
Heid, Pascal Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schrödinger’s equation. (English) Zbl 07750349 J. Comput. Math. 41, No. 5, 933-955 (2023). MSC: 65-XX 35Q40 81Q05 65N25 65N30 65N50 PDFBibTeX XMLCite \textit{P. Heid}, J. Comput. Math. 41, No. 5, 933--955 (2023; Zbl 07750349) Full Text: DOI arXiv
Mu, Pengcong; Zheng, Weiying A positivity-preserving finite element method for quantum drift-diffusion model. (English) Zbl 07750348 J. Comput. Math. 41, No. 5, 909-932 (2023). MSC: 35Q81 35J60 49M15 49M37 65N30 PDFBibTeX XMLCite \textit{P. Mu} and \textit{W. Zheng}, J. Comput. Math. 41, No. 5, 909--932 (2023; Zbl 07750348) Full Text: DOI
Chen, Yanping; Liu, Xinliang; Zeng, Jiaoyan; Zhang, Lei Optimal control for multiscale elliptic equations with rough coefficients. (English) Zbl 07750345 J. Comput. Math. 41, No. 5, 841-865 (2023). MSC: 65M06 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Math. 41, No. 5, 841--865 (2023; Zbl 07750345) Full Text: DOI arXiv
Chen, Jing; Zhou, Zhaojie; Chen, Huanzhen; Wang, Hong A new finite element space for expanded mixed finite element method. (English) Zbl 07750344 J. Comput. Math. 41, No. 5, 817-840 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Comput. Math. 41, No. 5, 817--840 (2023; Zbl 07750344) Full Text: DOI
Fu, Yayun; Cai, Wenjun; Wang, Yushun A linearly-implicit energy-preserving algorithm for the two-dimensional space-fractional nonlinear Schrödinger equation based on the SAV approach. (English) Zbl 07750343 J. Comput. Math. 41, No. 5, 797-816 (2023). MSC: 35R11 65M70 35Q55 PDFBibTeX XMLCite \textit{Y. Fu} et al., J. Comput. Math. 41, No. 5, 797--816 (2023; Zbl 07750343) Full Text: DOI arXiv
Dendani, Yazid; Ghanem, Radouen A priori error estimates for obstacle optimal control problem, where the obstacle is the control itself. (English) Zbl 07661758 J. Comput. Math. 41, No. 4, 693-716 (2023). MSC: 65M60 49J20 35R35 PDFBibTeX XMLCite \textit{Y. Dendani} and \textit{R. Ghanem}, J. Comput. Math. 41, No. 4, 693--716 (2023; Zbl 07661758) Full Text: DOI
Guo, Xiuhui; Tian, Lulu; Yang, Yang; Guo, Hui Positivity-preserving local discontinuous Galerkin method for pattern formation dynamical model in polymerizing actin flocks. (English) Zbl 1515.65242 J. Comput. Math. 41, No. 4, 599-618 (2023). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{X. Guo} et al., J. Comput. Math. 41, No. 4, 599--618 (2023; Zbl 1515.65242) Full Text: DOI
Yu, Zhiyun; Shi, Dongyang; Zhu, Huiqing A low order nonconforming mixed finite element method for non-stationary incompressible magnetohydrodynamics system. (English) Zbl 1515.65253 J. Comput. Math. 41, No. 4, 545-563 (2023). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{Z. Yu} et al., J. Comput. Math. 41, No. 4, 545--563 (2023; Zbl 1515.65253) Full Text: DOI
Li, Xiaolin Theoretical analysis of the reproducing kernel gradient smoothing integration technique in Galerkin meshless methods. (English) Zbl 1515.65066 J. Comput. Math. 41, No. 3, 503-526 (2023). MSC: 65D32 65N15 65N30 PDFBibTeX XMLCite \textit{X. Li}, J. Comput. Math. 41, No. 3, 503--526 (2023; Zbl 1515.65066) Full Text: DOI
Triki, Faouzi; Yin, Tao Inverse conductivity problem with internal data. (English) Zbl 1524.35773 J. Comput. Math. 41, No. 3, 483-502 (2023). MSC: 35R30 65N21 PDFBibTeX XMLCite \textit{F. Triki} and \textit{T. Yin}, J. Comput. Math. 41, No. 3, 483--502 (2023; Zbl 1524.35773) Full Text: DOI arXiv
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Liu, Fawang Anisotropic \(EQ_1^{rot}\) finite element approximation for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1515.65241 J. Comput. Math. 41, No. 3, 459-482 (2023). MSC: 65M60 35R11 65M15 65R20 PDFBibTeX XMLCite \textit{H. Fan} et al., J. Comput. Math. 41, No. 3, 459--482 (2023; Zbl 1515.65241) Full Text: DOI
Dai, Haishen; Huang, Qiumei; Wang, Cheng Exponential time differencing-Padé finite element method for nonlinear convection-diffusion-reaction equations with time constant delay. (English) Zbl 1515.65274 J. Comput. Math. 41, No. 3, 370-394 (2023). MSC: 65N08 65N12 65N15 PDFBibTeX XMLCite \textit{H. Dai} et al., J. Comput. Math. 41, No. 3, 370--394 (2023; Zbl 1515.65274) Full Text: DOI
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei A finite volume method preserving maximum principle for the conjugate heat transfer problems with general interface conditions. (English) Zbl 1515.65231 J. Comput. Math. 41, No. 3, 345-369 (2023). MSC: 65M08 35K59 PDFBibTeX XMLCite \textit{H. Zhou} et al., J. Comput. Math. 41, No. 3, 345--369 (2023; Zbl 1515.65231) Full Text: DOI
Liao, Hong-Lin; Tang, Tao; Zhou, Tao Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. (English) Zbl 1515.65222 J. Comput. Math. 41, No. 2, 325-344 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{H.-L. Liao} et al., J. Comput. Math. 41, No. 2, 325--344 (2023; Zbl 1515.65222) Full Text: DOI arXiv
Yang, Wei; Liu, Xin; He, Bin; Huang, Yunqing The a posteriori error estimator of SDG method for variable coefficients time-harmonic Maxwell’s equations. (English) Zbl 1515.65301 J. Comput. Math. 41, No. 2, 263-286 (2023). MSC: 65N30 65F10 PDFBibTeX XMLCite \textit{W. Yang} et al., J. Comput. Math. 41, No. 2, 263--286 (2023; Zbl 1515.65301) Full Text: DOI
Shi, Dongyang; Zhang, Houchao Superconvergence analysis of a BDF-Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations with damping mechanism. (English) Zbl 1515.65250 J. Comput. Math. 41, No. 2, 224-245 (2023). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Zhang}, J. Comput. Math. 41, No. 2, 224--245 (2023; Zbl 1515.65250) Full Text: DOI
Li, Yuan; Cui, Xuewei Unconditionally optimal error analysis of the second-order BDF finite element method for the Kuramoto-Tsuzuki equation. (English) Zbl 1515.65296 J. Comput. Math. 41, No. 2, 211-223 (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X. Cui}, J. Comput. Math. 41, No. 2, 211--223 (2023; Zbl 1515.65296) Full Text: DOI
Xu, Xianmin A variational analysis for the moving finite element method for gradient flows. (English) Zbl 1515.65238 J. Comput. Math. 41, No. 2, 191-210 (2023). MSC: 65M55 35K57 65M12 PDFBibTeX XMLCite \textit{X. Xu}, J. Comput. Math. 41, No. 2, 191--210 (2023; Zbl 1515.65238) Full Text: DOI arXiv
Wang, Zewen; Qiu, Shufang; Yu, Shuang; Wu, Bin; Zhang, Wen Exponential Tikhonov regularization method for solving an inverse source problem of time fractional diffusion equation. (English) Zbl 1524.35776 J. Comput. Math. 41, No. 2, 173-190 (2023). MSC: 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Math. 41, No. 2, 173--190 (2023; Zbl 1524.35776) Full Text: DOI
Shi, Xiangyu; Lu, Linzhang Unconditional superconvergent analysis of quasi-Wilson element for Benjamin-Bona-Mahoney equation. (English) Zbl 1515.65300 J. Comput. Math. 41, No. 1, 94-106 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{X. Shi} and \textit{L. Lu}, J. Comput. Math. 41, No. 1, 94--106 (2023; Zbl 1515.65300) Full Text: DOI
Li, Wei; Huang, Pengzhan; He, Yinnian Second order unconditionally stable and convergent linearized scheme for a fluid-fluid interaction model. (English) Zbl 1515.65247 J. Comput. Math. 41, No. 1, 72-93 (2023). MSC: 65M60 35Q35 65M15 76M10 76T06 PDFBibTeX XMLCite \textit{W. Li} et al., J. Comput. Math. 41, No. 1, 72--93 (2023; Zbl 1515.65247) Full Text: DOI
Li, Ruo; Yang, Fanyi Reconstructed discontinuous approximation to Stokes equation in a sequential least squares formulation. (English) Zbl 1515.65295 J. Comput. Math. 41, No. 1, 39-71 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{R. Li} and \textit{F. Yang}, J. Comput. Math. 41, No. 1, 39--71 (2023; Zbl 1515.65295) Full Text: DOI arXiv
Bünger, Jonas; Sarna, Neeraj; Torrilhon, Manuel Stable boundary conditions and discretization for \(P_{\mathrm{N}}\) equations. (English) Zbl 1513.35056 J. Comput. Math. 40, No. 6, 979-1005 (2022). MSC: 35B35 35Q20 35L50 65M06 65M12 65M70 PDFBibTeX XMLCite \textit{J. Bünger} et al., J. Comput. Math. 40, No. 6, 979--1005 (2022; Zbl 1513.35056) Full Text: DOI arXiv
Chen, Yanping; Gu, Qiling; Li, Qingfeng; Huang, Yunqing A two-grid finite element approximation for nonlinear time fractional two-term mixed sub-diffusion and diffusion wave equations. (English) Zbl 1513.65353 J. Comput. Math. 40, No. 6, 938-956 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65M55 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Math. 40, No. 6, 938--956 (2022; Zbl 1513.65353) Full Text: DOI
Dong, Baiying; Feng, Xiufeng; Li, Zhilin An \(L^\infty\) second order Cartesian method for 3D anisotropic interface problems. (English) Zbl 1513.65437 J. Comput. Math. 40, No. 6, 886-913 (2022). MSC: 65N06 65N30 65N12 65N15 35R05 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Comput. Math. 40, No. 6, 886--913 (2022; Zbl 1513.65437) Full Text: DOI
Zhang, Bei; Zhao, Jikun; Li, Minghao; Chen, Hongru Stabilized nonconforming mixed finite element method for linear elasticity on rectangular or cubic meshes. (English) Zbl 1513.65473 J. Comput. Math. 40, No. 6, 869-885 (2022). MSC: 65N30 65N15 65N12 74B10 35Q74 74S05 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Comput. Math. 40, No. 6, 869--885 (2022; Zbl 1513.65473) Full Text: DOI
Stamm, Benjamin; Xiang, Shuyang Boundary integral equations for isotropic linear elasticity. (English) Zbl 1513.65535 J. Comput. Math. 40, No. 6, 839-868 (2022). MSC: 65R20 65N38 74B05 PDFBibTeX XMLCite \textit{B. Stamm} and \textit{S. Xiang}, J. Comput. Math. 40, No. 6, 839--868 (2022; Zbl 1513.65535) Full Text: DOI arXiv
Liu, Huan; Zheng, Xiangcheng; Fu, Hongfei Analysis of a multi-term variable-order time-fractional diffusion equation and its Galerkin finite element approximation. (English) Zbl 1513.35096 J. Comput. Math. 40, No. 5, 818-838 (2022). MSC: 35B65 35R11 65M12 65M60 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Math. 40, No. 5, 818--838 (2022; Zbl 1513.35096) Full Text: DOI
Hu, Hanzhang; Chen, Yanping A characteristic mixed finite element two-grid method for compressible miscible displacement problem. (English) Zbl 1513.65362 J. Comput. Math. 40, No. 5, 798-817 (2022). MSC: 65M60 65M25 65N30 65M55 65H10 65M12 65M15 76S05 76N10 35K55 35Q35 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Y. Chen}, J. Comput. Math. 40, No. 5, 798--817 (2022; Zbl 1513.65362) Full Text: DOI
Wang, Kai; Wang, Na Analysis of a fully discrete finite element method for parabolic interface problems with nonsmooth initial data. (English) Zbl 1513.65386 J. Comput. Math. 40, No. 5, 781-797 (2022). MSC: 65M60 65M06 65N30 65N15 PDFBibTeX XMLCite \textit{K. Wang} and \textit{N. Wang}, J. Comput. Math. 40, No. 5, 781--797 (2022; Zbl 1513.65386) Full Text: DOI
He, Linshuang; Feng, Minfu; Ma, Qiang Penalty-factor-free stabilized nonconforming finite elements for solving stationary Navier-Stokes equations. (English) Zbl 1513.65464 J. Comput. Math. 40, No. 5, 732-759 (2022). MSC: 65N30 76D05 65N15 PDFBibTeX XMLCite \textit{L. He} et al., J. Comput. Math. 40, No. 5, 732--759 (2022; Zbl 1513.65464) Full Text: DOI
Hou, Tianliang; Liu, Chunmei; Dai, Chunlei; Chen, Luoping; Yang, Yin Two-grid algorithm of \(H^1\)-Galerkin mixed finite element methods for semilinear parabolic integro-differential equations. (English) Zbl 1513.49011 J. Comput. Math. 40, No. 5, 671-689 (2022). MSC: 49J20 65N30 47G20 35R09 PDFBibTeX XMLCite \textit{T. Hou} et al., J. Comput. Math. 40, No. 5, 671--689 (2022; Zbl 1513.49011) Full Text: DOI
Chen, Xinjiang; Wang, Yanqiu A conforming quadratic polygonal element and its application to Stokes equations. (English) Zbl 1499.65649 J. Comput. Math. 40, No. 4, 628-652 (2022). MSC: 65N30 65N12 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Wang}, J. Comput. Math. 40, No. 4, 628--652 (2022; Zbl 1499.65649) Full Text: DOI
Zaghdani, Abdelhamid; Sayari, Sayed; El Hajji, Miled A new hybridized mixed weak Galerkin method for second-order elliptic problems. (English) Zbl 1499.65691 J. Comput. Math. 40, No. 4, 501-518 (2022). MSC: 65N30 65N15 35J20 76S05 35J15 65N12 PDFBibTeX XMLCite \textit{A. Zaghdani} et al., J. Comput. Math. 40, No. 4, 501--518 (2022; Zbl 1499.65691) Full Text: DOI
Li, Xiaoli; Chen, Yanping; Chen, Chuanjun An improved two-grid technique for the nonlinear time-fractional parabolic equation based on the block-centered finite difference method. (English) Zbl 1499.65410 J. Comput. Math. 40, No. 3, 455-473 (2022). MSC: 65M06 35R11 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Math. 40, No. 3, 455--473 (2022; Zbl 1499.65410) Full Text: DOI
Bazarra, Noelia; Fernández, José R.; Leseduarte, Mari Carme; Magaña, Antonio; Quintanilla, Ramón Numerical analysis of a problem involving a viscoelastic body with double porosity. (English) Zbl 1499.65480 J. Comput. Math. 40, No. 3, 417-438 (2022). MSC: 65M60 65M06 65N30 37N15 74F05 65M12 74D05 74F10 35Q74 PDFBibTeX XMLCite \textit{N. Bazarra} et al., J. Comput. Math. 40, No. 3, 417--438 (2022; Zbl 1499.65480) Full Text: DOI
Long, Xiaonian; Ding, Qianqian A second order unconditionally convergent finite element method for the thermal equation with Joule heating problem. (English) Zbl 1499.65508 J. Comput. Math. 40, No. 3, 356-374 (2022). MSC: 65M60 65M12 65M15 35K61 65M06 65N30 35Q75 PDFBibTeX XMLCite \textit{X. Long} and \textit{Q. Ding}, J. Comput. Math. 40, No. 3, 356--374 (2022; Zbl 1499.65508) Full Text: DOI
Huang, Weijie; Jiang, Wei; Wang, Yan A \(\theta\)-\(L\) approach for solving solid-state dewetting problems. (English) Zbl 1499.65495 J. Comput. Math. 40, No. 2, 275-293 (2022). MSC: 65M60 65M06 65M12 74K35 76A20 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Comput. Math. 40, No. 2, 275--293 (2022; Zbl 1499.65495) Full Text: DOI
Manohar, Ram; Sinha, Rajen Kumar Elliptic reconstruction and a posteriori error estimates for fully discrete semilinear parabolic optimal control problems. (English) Zbl 1499.49020 J. Comput. Math. 40, No. 2, 147-176 (2022). MSC: 49J20 65J15 65N30 PDFBibTeX XMLCite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Comput. Math. 40, No. 2, 147--176 (2022; Zbl 1499.49020) Full Text: DOI
Yang, Huaijun; Shi, Dongyang Unconditionally optimal error estimates of the bilinear-constant scheme for time-dependent Navier-Stokes equations. (English) Zbl 1499.65543 J. Comput. Math. 40, No. 1, 127-146 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, J. Comput. Math. 40, No. 1, 127--146 (2022; Zbl 1499.65543) Full Text: DOI
Huang, Pengzhan; He, Yinnian; Li, Ting A finite element algorithm for nematic liquid crystal flow based on the Gauge-Uzawa method. (English) Zbl 1499.65494 J. Comput. Math. 40, No. 1, 26-43 (2022). MSC: 65M60 65M15 76A15 76M10 PDFBibTeX XMLCite \textit{P. Huang} et al., J. Comput. Math. 40, No. 1, 26--43 (2022; Zbl 1499.65494) Full Text: DOI
Lv, Guixia; Shen, Longjun Theoretical analyses on discrete formulae of directional differentials in the finite point method. (English) Zbl 1499.65072 J. Comput. Math. 40, No. 1, 1-25 (2022). MSC: 65D25 65N06 65N35 PDFBibTeX XMLCite \textit{G. Lv} and \textit{L. Shen}, J. Comput. Math. 40, No. 1, 1--25 (2022; Zbl 1499.65072) Full Text: DOI
Golse, François; Jin, Shi; Paul, Thierry The random batch method for \(N\)-body quantum dynamics. (English) Zbl 1499.82029 J. Comput. Math. 39, No. 6, 897-922 (2021). MSC: 82C10 82C22 65M75 35Q41 81V70 PDFBibTeX XMLCite \textit{F. Golse} et al., J. Comput. Math. 39, No. 6, 897--922 (2021; Zbl 1499.82029) Full Text: DOI arXiv
Cui, Xia; Yuan, Guangwei; Zhao, Fei Analysis on a numerical scheme with second-order time accuracy for nonlinear diffusion equations. (English) Zbl 1499.65383 J. Comput. Math. 39, No. 5, 777-800 (2021). MSC: 65M06 65N06 65M12 65M15 PDFBibTeX XMLCite \textit{X. Cui} et al., J. Comput. Math. 39, No. 5, 777--800 (2021; Zbl 1499.65383) Full Text: DOI
Zeng, Yuping; Wang, Feng; Weng, Zhifeng; Hu, Hanzhang A posteriori error estimates for a modified weak Galerkin finite element approximation of second order elliptic problems with DG norm. (English) Zbl 1499.65692 J. Comput. Math. 39, No. 5, 755-776 (2021). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Y. Zeng} et al., J. Comput. Math. 39, No. 5, 755--776 (2021; Zbl 1499.65692) Full Text: DOI
Ke, Yifen; Ma, Changfeng Modified alternating positive semidefinite splitting preconditioner for time-harmonic eddy current models. (English) Zbl 1499.65106 J. Comput. Math. 39, No. 5, 733-754 (2021). MSC: 65F08 65F10 65N22 PDFBibTeX XMLCite \textit{Y. Ke} and \textit{C. Ma}, J. Comput. Math. 39, No. 5, 733--754 (2021; Zbl 1499.65106) Full Text: DOI
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei A fast compact difference method for two-dimensional nonlinear space-fractional complex Ginzburg-Landau equations. (English) Zbl 1513.65324 J. Comput. Math. 39, No. 5, 708-732 (2021). MSC: 65M06 65N06 35R11 35Q56 65T50 65F08 65F10 65M12 15B05 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Math. 39, No. 5, 708--732 (2021; Zbl 1513.65324) Full Text: DOI
Ren, Jian; Shen, Zhijun; Yan, Wei; Yuan, Guangwei A cell-centered ALE method with HLLC-2D Riemann solver in 2D cylindrical geometry. (English) Zbl 1499.76075 J. Comput. Math. 39, No. 5, 666-692 (2021). MSC: 76M12 35L65 65M06 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Comput. Math. 39, No. 5, 666--692 (2021; Zbl 1499.76075) Full Text: DOI
Chu, Qianqian; Jin, Guanghui; Shen, Jihong; Jin, Yuanfeng Numerical analysis of Crank-Nicolson scheme for the Allen-Cahn equation. (English) Zbl 1499.65381 J. Comput. Math. 39, No. 5, 655-665 (2021). MSC: 65M06 65N06 65M12 35A01 PDFBibTeX XMLCite \textit{Q. Chu} et al., J. Comput. Math. 39, No. 5, 655--665 (2021; Zbl 1499.65381) Full Text: DOI
Feng, Xiaobing; Li, Yukun; Zhang, Yi Strong convergence of a fully discrete finite element method for a class of semilinear stochastic partial differential equations with multiplicative noise. (English) Zbl 1513.65357 J. Comput. Math. 39, No. 4, 574-598 (2021). MSC: 65M60 65M06 65N30 60H10 60H35 65M12 65M15 65C30 35R60 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Math. 39, No. 4, 574--598 (2021; Zbl 1513.65357) Full Text: DOI arXiv
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations. (English) Zbl 1499.65507 J. Comput. Math. 39, No. 4, 518-537 (2021). MSC: 65M60 65L06 65N30 65M15 65M12 35L85 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Comput. Math. 39, No. 4, 518--537 (2021; Zbl 1499.65507) Full Text: DOI arXiv
Pramanick, Tamal Error estimates for two-scale composite finite element approximations of nonlinear parabolic equations. (English) Zbl 1499.65518 J. Comput. Math. 39, No. 4, 493-517 (2021). MSC: 65M60 65M15 35K55 PDFBibTeX XMLCite \textit{T. Pramanick}, J. Comput. Math. 39, No. 4, 493--517 (2021; Zbl 1499.65518) Full Text: DOI
Song, Xiaoliang; Chen, Bo; Yu, Bo Error estimates for sparse optimal control problems by piecewise linear finite element approximation. (English) Zbl 1488.49056 J. Comput. Math. 39, No. 3, 471-492 (2021). MSC: 49M25 49N05 65N15 65N30 PDFBibTeX XMLCite \textit{X. Song} et al., J. Comput. Math. 39, No. 3, 471--492 (2021; Zbl 1488.49056) Full Text: DOI arXiv
Zhang, Xiaodi; Zheng, Weiying Monolithic multigrid for reduced magnetohydrodynamic equations. (English) Zbl 1488.65712 J. Comput. Math. 39, No. 3, 453-470 (2021). MSC: 65N55 76W05 65N30 65F08 65F10 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{W. Zheng}, J. Comput. Math. 39, No. 3, 453--470 (2021; Zbl 1488.65712) Full Text: DOI
Eymard, R.; Guichard, C.; Lhebrard, Xavier Convergence of numerical schemes for a conservation equation with convection and degenerate diffusion. (English) Zbl 1488.65418 J. Comput. Math. 39, No. 3, 428-452 (2021). MSC: 65M60 65M08 65M12 76R50 76S05 76T06 35K65 80M10 35Q86 PDFBibTeX XMLCite \textit{R. Eymard} et al., J. Comput. Math. 39, No. 3, 428--452 (2021; Zbl 1488.65418) Full Text: DOI HAL
Gatica, Gabriel N.; Munar, Mauricio; Sequeira, Filander A. A mixed virtual element method for the Boussinesq problem on polygonal meshes. (English) Zbl 1488.65613 J. Comput. Math. 39, No. 3, 392-427 (2021). MSC: 65N30 65N12 65N15 76D07 76M20 35Q35 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., J. Comput. Math. 39, No. 3, 392--427 (2021; Zbl 1488.65613) Full Text: DOI
Hu, Kaibo; Winther, Ragnar Well-conditioned frames for high order finite element methods. (English) Zbl 1488.65622 J. Comput. Math. 39, No. 3, 333-357 (2021). MSC: 65N30 35J47 65F35 65F08 65F10 33C45 PDFBibTeX XMLCite \textit{K. Hu} and \textit{R. Winther}, J. Comput. Math. 39, No. 3, 333--357 (2021; Zbl 1488.65622) Full Text: DOI arXiv Link
Abdessamad, El Madkouri; Abdellatif, Ellabib Source term identification with discontinuous dual reciprocity approximation and quasi-Newton method from boundary observations. (English) Zbl 1488.65579 J. Comput. Math. 39, No. 3, 311-332 (2021). MSC: 65N21 65N38 49M15 49N15 35R30 PDFBibTeX XMLCite \textit{E. M. Abdessamad} and \textit{E. Abdellatif}, J. Comput. Math. 39, No. 3, 311--332 (2021; Zbl 1488.65579) Full Text: DOI
Hong, Qingguo; Xu, Jinchao Uniform stability and error analysis for some discontinuous Galerkin methods. (English) Zbl 1474.65439 J. Comput. Math. 39, No. 2, 283-310 (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{Q. Hong} and \textit{J. Xu}, J. Comput. Math. 39, No. 2, 283--310 (2021; Zbl 1474.65439) Full Text: DOI arXiv
Yang, Huaijun; Shi, Dongyang; Liu, Qian Superconvergence analysis of low order nonconforming mixed finite element methods for time-dependent Navier-Stokes equations. (English) Zbl 1474.65373 J. Comput. Math. 39, No. 1, 63-80 (2021). MSC: 65M60 65M12 65N30 65N12 35Q30 65D05 76D05 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Comput. Math. 39, No. 1, 63--80 (2021; Zbl 1474.65373) Full Text: DOI
Yu, Xuhong; Jin, Lusha; Wang, Zhongqing Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for odd-order differential equations. (English) Zbl 1474.65460 J. Comput. Math. 39, No. 1, 43-62 (2021). MSC: 65N35 65N30 41A50 PDFBibTeX XMLCite \textit{X. Yu} et al., J. Comput. Math. 39, No. 1, 43--62 (2021; Zbl 1474.65460) Full Text: DOI
Jiang, Haiyan; Lu, Tiao; Yin, Xu A hybrid explicit-implicit scheme for the time-dependent Wigner equation. (English) Zbl 1474.65277 J. Comput. Math. 39, No. 1, 22-42 (2021). MSC: 65M06 65M70 65M15 65M12 35Q40 81Q05 PDFBibTeX XMLCite \textit{H. Jiang} et al., J. Comput. Math. 39, No. 1, 22--42 (2021; Zbl 1474.65277) Full Text: DOI
Li, Xiaocui; You, Xu Mixed finite element methods for fractional Navier-Stokes equations. (English) Zbl 1474.65358 J. Comput. Math. 39, No. 1, 130-146 (2021). MSC: 65M60 65M12 65M15 26A33 35R11 65M06 65N30 35Q30 76D05 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. You}, J. Comput. Math. 39, No. 1, 130--146 (2021; Zbl 1474.65358) Full Text: DOI
Zhou, Yongtao; Zhang, Chengjian; Wang, Huiru Boundary value methods for Caputo fractional differential equations. (English) Zbl 1474.65237 J. Comput. Math. 39, No. 1, 108-129 (2021). MSC: 65L10 34A08 65L20 PDFBibTeX XMLCite \textit{Y. Zhou} et al., J. Comput. Math. 39, No. 1, 108--129 (2021; Zbl 1474.65237) Full Text: DOI
Bao, Xuelian; Chen, Rui; Zhang, Hui Constraint-preserving energy-stable scheme for the 2D simplified Ericksen-Leslie system. (English) Zbl 1474.65342 J. Comput. Math. 39, No. 1, 1-21 (2021). MSC: 65M60 76A15 35Q35 35B45 65M22 65N30 PDFBibTeX XMLCite \textit{X. Bao} et al., J. Comput. Math. 39, No. 1, 1--21 (2021; Zbl 1474.65342) Full Text: DOI
Tao, Wenqi; Shi, Zuoqiang Convergence of Laplacian spectra from random samples. (English) Zbl 1474.65430 J. Comput. Math. 38, No. 6, 952-984 (2020). MSC: 65N25 65N12 65N75 PDFBibTeX XMLCite \textit{W. Tao} and \textit{Z. Shi}, J. Comput. Math. 38, No. 6, 952--984 (2020; Zbl 1474.65430) Full Text: DOI arXiv
Biazar, Jafar; Sadri, Khadijeh Two-variable Jacobi polynomials for solving some fractional partial differential equations. (English) Zbl 1474.35638 J. Comput. Math. 38, No. 6, 879-902 (2020). MSC: 35R11 65M15 65M70 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{K. Sadri}, J. Comput. Math. 38, No. 6, 879--902 (2020; Zbl 1474.35638) Full Text: DOI
Wang, Xudong; Deng, Weihua Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. (English) Zbl 1474.65371 J. Comput. Math. 38, No. 6, 839-867 (2020). MSC: 65M60 65M50 26A33 35R11 65M15 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. Deng}, J. Comput. Math. 38, No. 6, 839--867 (2020; Zbl 1474.65371) Full Text: DOI arXiv
Yuan, Yuhuan; Tang, Huazhong Two-stage fourth-order accurate time discretizations for 1D and 2D special relativistic hydrodynamics. (English) Zbl 1463.65269 J. Comput. Math. 38, No. 5, 768-796 (2020). MSC: 65M08 65M06 76M12 76M20 76Y05 76L05 35Q35 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Tang}, J. Comput. Math. 38, No. 5, 768--796 (2020; Zbl 1463.65269) Full Text: DOI arXiv
Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. (English) Zbl 1463.65371 J. Comput. Math. 38, No. 5, 748-767 (2020). MSC: 65N30 65N12 65N15 35J05 58A12 PDFBibTeX XMLCite \textit{M. Holst} et al., J. Comput. Math. 38, No. 5, 748--767 (2020; Zbl 1463.65371) Full Text: DOI arXiv
Amat, Sergio; Ruiz, Juan; Shu, Chiwang On new strategies to control the accuracy of WENO algorithm close to discontinuities. II: Cell averages and multiresolution. (English) Zbl 1463.65213 J. Comput. Math. 38, No. 4, 661-682 (2020). MSC: 65M06 65D05 65D15 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Comput. Math. 38, No. 4, 661--682 (2020; Zbl 1463.65213) Full Text: DOI
Zhai, Qilong; Hu, Xiaozhe; Zhang, Ran The shifted-inverse power weak Galerkin method for eigenvalue problems. (English) Zbl 1463.65358 J. Comput. Math. 38, No. 4, 606-623 (2020). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{Q. Zhai} et al., J. Comput. Math. 38, No. 4, 606--623 (2020; Zbl 1463.65358) Full Text: DOI arXiv
Hasan, Mohammad Tanzil; Xu, Chuanju High order finite difference/spectral methods to a water wave model with nonlocal viscosity. (English) Zbl 1463.65223 J. Comput. Math. 38, No. 4, 580-605 (2020). MSC: 65M06 65M70 65M12 76D33 35R11 65N35 65M15 PDFBibTeX XMLCite \textit{M. T. Hasan} and \textit{C. Xu}, J. Comput. Math. 38, No. 4, 580--605 (2020; Zbl 1463.65223) Full Text: DOI
Zhang, Weifeng; Zhang, Shuo Order reduced methods for quad-curl equations with Navier type boundary conditions. (English) Zbl 1463.65388 J. Comput. Math. 38, No. 4, 565-579 (2020). MSC: 65N30 65N12 35B65 35Q35 76W05 76E25 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{S. Zhang}, J. Comput. Math. 38, No. 4, 565--579 (2020; Zbl 1463.65388) Full Text: DOI
Awanou, Gerard; Li, Hengguang; Malitz, Eric A two-grid method for the \({C^0}\) interior penalty discretization of the Monge-Ampère equation. (English) Zbl 1463.65399 J. Comput. Math. 38, No. 4, 547-564 (2020). MSC: 65N55 65N30 35J96 65H10 65N15 PDFBibTeX XMLCite \textit{G. Awanou} et al., J. Comput. Math. 38, No. 4, 547--564 (2020; Zbl 1463.65399) Full Text: DOI arXiv
He, Juncai; Li, Lin; Xu, Jinchao; Zheng, Chunyue ReLU deep neural networks and linear finite elements. (English) Zbl 1463.68072 J. Comput. Math. 38, No. 3, 502-527 (2020). MSC: 68T07 65N30 PDFBibTeX XMLCite \textit{J. He} et al., J. Comput. Math. 38, No. 3, 502--527 (2020; Zbl 1463.68072) Full Text: DOI arXiv
Cai, Li; Sun, Ye; Jing, Feifei; Li, Yiqiang; Shen, Xiaoqin; Nie, Yufeng A fully discrete implicit-explicit finite element method for solving the Fitzhugh-Nagumo model. (English) Zbl 1463.65288 J. Comput. Math. 38, No. 3, 469-486 (2020). MSC: 65M60 65M12 65M15 65M06 92C30 35Q92 PDFBibTeX XMLCite \textit{L. Cai} et al., J. Comput. Math. 38, No. 3, 469--486 (2020; Zbl 1463.65288) Full Text: DOI
Chen, Jie; He, Zhengkang; Sun, Shuyu; Guo, Shimin; Chen, Zhangxin Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems. (English) Zbl 1463.65291 J. Comput. Math. 38, No. 3, 452-468 (2020). MSC: 65M60 65N30 65N12 65M06 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Comput. Math. 38, No. 3, 452--468 (2020; Zbl 1463.65291) Full Text: DOI Link
Xie, Chunmei; Feng, Minfu A new stabilized finite element method for solving transient Navier-Stokes equations with high Reynolds number. (English) Zbl 1463.65312 J. Comput. Math. 38, No. 3, 395-416 (2020). MSC: 65M60 65N30 76M10 65M06 65M12 65M15 35B65 65N50 76D05 35Q30 PDFBibTeX XMLCite \textit{C. Xie} and \textit{M. Feng}, J. Comput. Math. 38, No. 3, 395--416 (2020; Zbl 1463.65312) Full Text: DOI