Ngondiep, Eric An efficient high-order weak Galerkin finite element approach for Sobolev equation with variable matrix coefficients. (English) Zbl 07979090 Comput. Math. Appl. 180, 279-298 (2025). MSC: 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Chetan; Yadav, Anshu; Bhoriya, Deepak; Kumar, Harish; Balsara, Dinshaw S. Entropy stable finite difference schemes for Chew, Goldberger and Low anisotropic plasma flow equations. (English) Zbl 07975324 J. Sci. Comput. 102, No. 2, Paper No. 51, 48 p. (2025). MSC: 65M06 65L06 65M12 65M20 76W05 76X05 76L05 76M20 35D30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baccouch, Mahboub Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07965182 Numer. Algorithms 98, No. 1, 373-404 (2025). MSC: 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Poiatti, Andrea The 3D strict separation property for the nonlocal Cahn-Hilliard equation with singular potential. (English) Zbl 07962297 Anal. PDE 18, No. 1, 109-139 (2025). MSC: 35B40 35B65 35K35 35K58 35R09 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shicheng; Meng, Xiangyun; Zhai, Qilong Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D. (English) Zbl 07958861 J. Comput. Appl. Math. 457, Article ID 116324, 13 p. (2025). MSC: 65N30 35B25 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Ciaramaglia, Ilaria; Goatin, Paola; Puppo, Gabriella Non-local traffic flow models with time delay: well-posedness and numerical approximation. (English) Zbl 07948485 Discrete Contin. Dyn. Syst., Ser. B 30, No. 3, 874-907 (2025). MSC: 35L65 35L03 65M12 76A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Guoqing; Wang, Zicheng; Wang, Zhongqing An efficient and accurate mapping method for elliptic equations in irregular annular domains. (English) Zbl 07939186 J. Comput. Appl. Math. 456, Article ID 116237, 17 p. (2025). MSC: 35D30 30E25 35J25 65N15 65N35 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Bertoluzza, Silvia; Burman, Erik; He, Cuiyu WAN discretization of PDEs: best approximation, stabilization, and essential boundary conditions. (English) Zbl 07964724 SIAM J. Sci. Comput. 46, No. 6, C688-C715 (2024). MSC: 65M99 65M12 65N12 65M15 65K10 68T07 35D30 35G50 35A01 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Elbar, Charles; Poulain, Alexandre Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects. (English) Zbl 07957233 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1989-2034 (2024). MSC: 35Q35 35Q92 76N10 76Z05 92C35 92C37 35B40 35B45 35G20 35D30 35A01 65M60 65F10 65M12 47H10 74M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bellotti, Thomas The influence of parasitic modes on stable lattice Boltzmann schemes and weakly unstable multi-step finite difference schemes. (English) Zbl 07953241 Comput. Math. Appl. 174, 397-416 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kipp, Christian Small perturbations of polytopes. (English) Zbl 07939796 J. Funct. Anal. 287, No. 12, Article ID 110644, 41 p. (2024). MSC: 52Axx 90Cxx 28Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saif, Mohammad; Almarri, Barakah; Aljuaid, Munirah; Uddin, Izhar Numerical solutions of boundary value problems via fixed point iteration. (English) Zbl 07931056 Comput. Appl. Math. 43, No. 8, Paper No. 440, 22 p. (2024). MSC: 34B15 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Toprakseven, Suayip; Kaushik, Aditya; Sharma, Manju A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes. (English) Zbl 07925690 Numer. Algorithms 97, No. 2, 727-751 (2024). MSC: 65-XX 34K26 65N30 65N50 × 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
Boumnidel, S.; El Kaddouri, A.; Aboutafail, O.; Bouras, K. Some properties of weak \(^{\star}\) Dunford-Pettis operators on Banach lattices. (English) Zbl 07905346 Bol. Soc. Parana. Mat. (3) 42, Paper No. 67, 8 p. (2024). MSC: 46B42 47B60 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Yılmaz, Fikriye; Öz Bakan, Hacer; Weber, Gerhard-Wilhelm Weak second-order conditions of Runge-Kutta method for stochastic optimal control problems. (English) Zbl 1547.49020 J. Optim. Theory Appl. 202, No. 1, 497-517 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 49J55 49K99 62P05 37A50 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junping; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng On the superconvergence of a WG method for the elliptic problem with variable coefficients. (English) Zbl 1546.65119 Sci. China, Math. 67, No. 8, 1899-1910 (2024). MSC: 65N30 65N15 65N12 35J25 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xuehua; Zhang, Zhimin Superconvergence analysis of a robust orthogonal Gauss collocation method for 2D fourth-order subdiffusion equations. (English) Zbl 1546.65089 J. Sci. Comput. 100, No. 3, Paper No. 62, 18 p. (2024). MSC: 65M70 65M06 65N35 65D07 65M12 65M15 35A21 35K61 × 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
Colli, Pierluigi; Kurima, Shunsuke; Scarpa, Luca Nonlocal to local convergence of phase field systems with inertial term. (English) Zbl 1547.35068 Appl. Math. Optim. 90, No. 1, Paper No. 21, 16 p. (2024). MSC: 35B40 35D30 35G61 35R09 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Kai; Chen, Junjie; Zhang, Li; Ran, Maohua A stabilizer-free weak Galerkin finite element method for the Darcy-Stokes equations. (English) Zbl 07896239 Int. J. Numer. Anal. Model. 21, No. 4, 459-475 (2024). MSC: 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Abels, Helmut; Hurm, Christoph Strong nonlocal-to-local convergence of the Cahn-Hilliard equation and its operator. (English) Zbl 1544.35041 J. Differ. Equations 402, 593-624 (2024). MSC: 35B40 35D30 35K35 35K58 45K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yue; Wang, Yunyan; Tang, Mingtian Non parametric estimation of transition density for second-order diffusion processes. (English) Zbl 07887793 Commun. Stat., Theory Methods 53, No. 16, 5840-5852 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Tran, Ngoc Tien Discrete weak duality of hybrid high-order methods for convex minimization problems. (English) Zbl 1544.65212 SIAM J. Numer. Anal. 62, No. 4, 1492-1514 (2024). MSC: 65N30 65N12 65N15 65N50 65K10 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto Measure-valued solutions of scalar hyperbolic conservation laws. I: Existence and time evolution of singular parts. (English) Zbl 1542.35405 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 245, Article ID 113571, 26 p. (2024). MSC: 35R06 35D30 35L03 35L65 28A33 28A50 × 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 1544.65167 Math. Comput. 93, No. 349, 2135-2183 (2024). MSC: 65M60 35G25 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Trynin, A. Yu. On one method for solving a mixed boundary value problem for a parabolic type equation using operators \( \mathbb{A}{{\mathbb{T}}_{{\lambda ,j}}} \). (English. Russian original) Zbl 1542.35220 Russ. Math. 68, No. 2, 52-71 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 2, 59-80 (2024). MSC: 35K20 35C10 35D30 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Rosales, Rodolfo Ruben; Seibold, Benjamin; Shirokoff, David; Zhou, Dong Spatial manifestations of order reduction in Runge-Kutta methods for initial boundary value problems. (English) Zbl 1545.65314 Commun. Math. Sci. 22, No. 3, 613-653 (2024). MSC: 65L06 65L05 65L20 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Wenkai; Zhang, Jicheng; Li, Xin Higher order stable generalized isogeometric analysis for interface problems. (English) Zbl 1542.65159 J. Comput. Appl. Math. 444, Article ID 115792, 17 p. (2024). MSC: 65N30 65D07 65N12 65D18 65F25 65F35 35D30 × 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
Jüngel, Ansgar; Portisch, Stefan; Zurek, Antoine A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations. (English) Zbl 07861970 ESAIM, Math. Model. Numer. Anal. 58, No. 2, 759-792 (2024). Reviewer: Michele Ruggeri (Glasgow) MSC: 65M08 65M06 65N08 65M12 35D30 35K51 35Q92 92B20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Singh, Maneesh Kumar A discrete-ordinate weak Galerkin method for radiative transfer equation. (English) Zbl 1542.65116 Appl. Numer. Math. 201, 628-641 (2024). MSC: 65M60 65N30 35L02 65N12 65N15 35R09 45K05 85A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moktafi, Houda; Khabaoui, Hassan; El Fahri, Kamal Some results on unbounded absolute weak convergence. (English) Zbl 07857983 Acta Sci. Math. 90, No. 1-2, 241-250 (2024). MSC: 46A40 46B40 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Raman Numerical solutions for biharmonic interface problems via weak Galerkin finite element methods. (English) Zbl 1545.65436 Appl. Math. Comput. 467, Article ID 128496, 21 p. (2024). MSC: 65N30 35B45 35J35 35J50 65N12 65N15 74N20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chunmei; Wang, Junping; Zhang, Shangyou A parallel iterative procedure for weak Galerkin methods for second order elliptic problems. (English) Zbl 1549.65499 Int. J. Numer. Anal. Model. 21, No. 1, 1-19 (2024). MSC: 65N30 65N15 65N12 35J50 35J35 65Y05 65N55 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vilar, François; Abgrall, Rémi A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. (English) Zbl 1535.65159 SIAM J. Sci. Comput. 46, No. 2, A851-A883 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N30 65M06 65L06 65N08 65N12 35L67 35D30 76N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Csörgő, Miklós Randomized empirical processes and confidence bands via virtual resampling. (English) Zbl 1534.60032 Stochastic Processes Appl. 170, Article ID 104290, 15 p. (2024). MSC: 60F05 62G20 62G09 62G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Naresh; Toprakseven, Şuayip; Jiwari, Ram A numerical method for singularly perturbed convection-diffusion-reaction equations on polygonal meshes. (English) Zbl 1549.65489 Comput. Appl. Math. 43, No. 1, Paper No. 44, 28 p. (2024). MSC: 65N30 65N50 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Seal, Aniruddha; Natesan, Srinivasan; Toprakseven, Suayip A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation. (English) Zbl 1534.65187 J. Sci. Comput. 98, No. 3, Paper No. 56, 26 p. (2024). MSC: 65M60 35K20 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Abhijit; Ketcheson, David; Seibold, Benjamin; Shirokoff, David Algebraic structure of the weak stage order conditions for Runge-Kutta methods. (English) Zbl 1537.65084 SIAM J. Numer. Anal. 62, No. 1, 48-72 (2024). Reviewer: Kevin Burrage (Brisbane) MSC: 65L06 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Liu, Xiaowei; Yang, Min; Zhang, Jin Supercloseness of weak Galerkin method for a singularly perturbed convection-diffusion problem in 2D. (English) Zbl 1522.65218 J. Comput. Appl. Math. 436, Article ID 115404, 14 p. (2024). MSC: 65N30 65N50 65D32 65D05 65F10 65N12 65N15 35A15 35B25 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Soopramanien, Shilpa Selinska Gina; Thakoor, Nawdha; Tangman, Desiré Yannick; Bhuruth, Muddun A new analytical approach for the local radial point interpolation discretisation in space and applications to high-order in time schemes for two-dimensional fractional PDEs. (English) Zbl 1537.65147 Eng. Anal. Bound. Elem. 157, 413-423 (2023). MSC: 65M70 35R11 65D12 65M12 91G20 91G60 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Raman; Deka, Bhupen Weak Galerkin finite element methods with and without stabilizers for \(H(\operatorname{div}; \Omega)\)-elliptic problems. (English) Zbl 1532.65112 ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202200207, 25 p. (2023). MSC: 65N30 65N50 65N85 65N12 65N15 35J15 35B65 76R50 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dan; Li, Yiqiang; Yuan, Zhanbin A new weak Galerkin method with weakly enforced Dirichlet boundary condition. (English) Zbl 1528.65112 Int. J. Numer. Anal. Model. 20, No. 5, 647-666 (2023). MSC: 65N30 35J50 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Gowda, G. D. Veerappa; Kenettinkara, Sudarshan Kumar; Manoj, Nikhil Convergence of a second-order scheme for non-local conservation laws. (English) Zbl 1531.65139 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439-3481 (2023). MSC: 65M08 65N08 65L06 65M12 65M15 35D30 35B50 35L65 76A30 92B20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Jiao, Yuling; Yang, Jerry Zhijian; Yuan, Cheng; Zhou, Junyu A rate of convergence of weak adversarial neural networks for the second order parabolic PDEs. (English) Zbl 1538.62323 Commun. Comput. Phys. 34, No. 3, 813-836 (2023). MSC: 62N99 65N12 65N15 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junping; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng Two-order superconvergence for a weak Galerkin method on rectangular and cuboid grids. (English) Zbl 1531.65254 Numer. Methods Partial Differ. Equations 39, No. 1, 744-758 (2023). MSC: 65N30 65N12 65N15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Xiu; Zhang, Shangyou Four-order superconvergent weak Galerkin methods for the biharmonic equation on triangular meshes. (English) Zbl 1538.65565 Commun. Appl. Math. Comput. 5, No. 4, 1323-1338 (2023). MSC: 65N30 65N15 65N12 31A30 35J35 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chaobao; An, Na; Chen, Hu; Yu, Xijun \(\alpha\)-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives. (English) Zbl 1526.65046 J. Sci. Comput. 97, No. 2, Paper No. 43, 21 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yue; Gao, Fuzheng; Cui, Jintao Superconvergence of the lowest-order weak Galerkin finite element method for elliptic interface problems. (English) Zbl 1538.65557 Comput. Math. Appl. 149, 203-210 (2023). MSC: 65N30 65N15 35J25 35J15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Qingguang; Queisser, Gillian; Zhao, Wenju Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. (English) Zbl 1538.65511 Comput. Math. Appl. 148, 282-292 (2023). MSC: 65N30 65N15 65N12 35J25 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elkamash, I. S.; Abdelhamid, Hamdi M.; Shalaby, Abouzeid M. Entire hypergeometric approximants for the ground state energy perturbation series of the quartic, sextic and octic anharmonic oscillators. (English) Zbl 1533.81044 Ann. Phys. 457, Article ID 169427, 13 p. (2023). MSC: 81Q15 65B10 33C90 40A05 14G12 32D15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Hyeokjoo; Kwak, Do Y. An immersed weak Galerkin method for elliptic interface problems on polygonal meshes. (English) Zbl 1538.65543 Comput. Math. Appl. 147, 185-201 (2023). MSC: 65N30 65N15 35J25 65N12 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kratz, Marie; Prokopenko, Evgeny Multi-normex distributions for the sum of random vectors. Rates of convergence. (English) Zbl 1520.60009 Extremes 26, No. 3, 509-544 (2023). MSC: 60E05 60F05 60G70 60F15 62G30 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Dümbgen, Lutz; Mösching, Alexandre On stochastic orders and total positivity. (English) Zbl 1521.60009 ESAIM, Probab. Stat. 27, 461-481 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 62E10 62H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giesselmann, Jan; Mäder-Baumdicker, Elena; Stonner, David Jakob A posteriori error estimates for wave maps into spheres. (English) Zbl 1549.65261 Adv. Comput. Math. 49, No. 4, Paper No. 54, 31 p. (2023). MSC: 65M06 65N06 65M12 35D30 35B38 35R01 65M15 35B44 35L71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fuest, Mario Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems. (English) Zbl 1518.35027 J. Evol. Equ. 23, No. 3, Paper No. 49, 51 p. (2023). MSC: 35A35 35D30 35K51 35K59 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dan; Wang, Chunmei; Wang, Junping Generalized weak Galerkin finite element methods for biharmonic equations. (English) Zbl 1517.65116 J. Comput. Appl. Math. 434, Article ID 115353, 21 p. (2023). MSC: 65N30 65N12 65N15 35B45 35J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dan; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual finite element method for first-order transport problems. (English) Zbl 1517.65115 J. Comput. Appl. Math. 434, Article ID 115345, 23 p. (2023). MSC: 65N30 65N15 65N12 35L02 35F15 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baccouch, Mahboub Superconvergence of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07714948 Int. J. Comput. Methods 20, No. 2, Article ID 2250042, 23 p. (2023). MSC: 65L60 65L05 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Fellner, Klemens; Fischer, Julian; Kniely, Michael; Tang, Bao Quoc Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion. (English) Zbl 1518.35092 J. Nonlinear Sci. 33, No. 4, Paper No. 66, 49 p. (2023). MSC: 35B40 35D30 35K51 35K57 35K59 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chunmei; Wang, Junping; Zhang, Shangyou Weak Galerkin finite element methods for quad-curl problems. (English) Zbl 1516.65139 J. Comput. Appl. Math. 428, Article ID 115186, 13 p. (2023). MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Naresh; Deka, Bhupen Weak Galerkin finite element methods for parabolic problems with \(L^2\) initial data. (English) Zbl 1524.65561 Int. J. Numer. Anal. Model. 20, No. 2, 199-228 (2023). MSC: 65M60 65N15 65N30 65M06 35K10 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Lao, Xin; Peng, Zuoxiang; Nadarajah, Saralees Tail dependence functions of two classes of bivariate skew distributions. (English) Zbl 1514.62034 Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 10, 24 p. (2023). MSC: 62E20 60G70 60F15 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Abhijit; Ketcheson, David I.; Seibold, Benjamin; Shirokoff, David Design of DIRK schemes with high weak stage order. (English) Zbl 1515.65183 Commun. Appl. Math. Comput. Sci. 18, No. 1, 1-28 (2023). MSC: 65L04 65L20 65M06 65M12 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Radici, Emanuela; Stra, Federico Entropy solutions of mildly singular nonlocal scalar conservation laws with congestion via deterministic particle methods. (English) Zbl 1518.35471 SIAM J. Math. Anal. 55, No. 3, 2001-2041 (2023). MSC: 35L03 35D30 35L65 35R09 65M12 65M75 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xinfei; Yang, Xiaoyuan Numerical approximation of the stochastic equation driven by the fractional noise. (English) Zbl 1545.65372 Appl. Math. Comput. 452, Article ID 128053, 16 p. (2023). MSC: 65M60 35R11 60H15 65C30 × Cite Format Result Cite Review PDF Full Text: DOI
Porzio, Maria Michaela; Smarrazzo, Flavia; Tesei, Alberto Radon measure-valued solutions of unsteady filtration equations. (English) Zbl 1518.35605 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1595-1624 (2023). MSC: 35R06 35D30 35K20 35K59 35Q35 28A33 × Cite Format Result Cite Review PDF Full Text: DOI
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R. Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. (English) Zbl 07700760 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1319-1346 (2023). MSC: 65-XX 35K15 35K65 35D30 35R09 35R11 65M06 65M12 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoo Kim, Ji; Kweon, Jae Ryong An analysis for the momentum equation with unbounded pressure gradient: numerical simulations. (English) Zbl 1549.65483 Comput. Math. Appl. 140, 126-133 (2023). MSC: 65N30 65N12 65N15 35J25 35R05 35B65 35D30 76N10 35Q30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Rui M. P.; Duque, José C. M.; Ferreira, Jorge; Panni, Willian S. Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator. (English) Zbl 1549.65474 Comput. Math. Appl. 139, 57-67 (2023). MSC: 65N30 65N12 65N15 35J40 35J35 35J60 35P30 35G30 31A30 35A01 35A02 35B65 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Yingying; Zhong, Liuqiang; Tang, Ming A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems. (English) Zbl 1538.65559 Comput. Math. Appl. 142, 307-321 (2023). MSC: 65N30 65N15 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Juaifri, Ghassan A.; Harfash, Akil J. Analysis of a nonlinear reaction-diffusion system of the FitzHugh-Nagumo type with Robin boundary conditions. (English) Zbl 1514.35103 Ric. Mat. 72, No. 1, 335-357 (2023). MSC: 35D30 35D35 35K51 35K57 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Xiu; Zhang, Shangyou Constructing order two superconvergent WG finite elements on rectangular meshes. (English) Zbl 1524.65872 Numer. Math., Theory Methods Appl. 16, No. 1, 230-241 (2023). MSC: 65N30 65N15 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Bouzebda, Salim; Nemouchi, Boutheina Weak-convergence of empirical conditional processes and conditional \(U\)-processes involving functional mixing data. (English) Zbl 07672039 Stat. Inference Stoch. Process. 26, No. 1, 33-88 (2023). MSC: 62G05 62G08 62G20 62G35 62G07 62G32 62G30 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Baccouch, Mahboub A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. (English) Zbl 1512.65150 Numer. Algorithms 92, No. 4, 1983-2023 (2023). MSC: 65L10 65L20 65L60 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chaobao; An, Na; Chen, Hu Optimal pointwise-in-time error analysis of a mixed finite element method for a multi-term time-fractional fourth-order equation. (English) Zbl 1549.65367 Comput. Math. Appl. 135, 149-156 (2023). MSC: 65M60 65M06 65N30 35R11 65M12 65M15 35A21 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Lanpeng; Peng, Xiaofan Extreme value theory for a sequence of suprema of a class of Gaussian processes with trend. (English) Zbl 1527.60024 Stochastic Processes Appl. 158, 418-452 (2023). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60G15 60G70 60F05 62G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qilin; Liu, Min A note on “Some properties of second-order weak subdifferentials”. (English) Zbl 1506.49007 Turk. J. Math. 47, No. 1, 256-260 (2023). MSC: 49J45 26E25 46G05 49J53 54C60 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Peng; Li, Yonghai; Wang, Xiang Global \(L^2\) superconvergence of the tetrahedral quadratic finite element. (English) Zbl 1538.65564 Comput. Math. Appl. 133, 104-123 (2023). MSC: 65N30 65N12 35J25 65N15 35J05 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Wenju; Guan, Qingguang Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation. (English) Zbl 1505.65270 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 106999, 20 p. (2023). MSC: 65M60 65M15 65M12 35K55 35K35 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chaobao; Chen, Hu Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions. (English) Zbl 1503.65232 Appl. Math. Lett. 139, Article ID 108559, 8 p. (2023). MSC: 65M60 35R11 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Waixiang; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual weak Galerkin method for div-curl systems. (English) Zbl 1499.65646 J. Comput. Appl. Math. 422, Article ID 114881, 17 p. (2023). MSC: 65N30 35Q60 65N12 35F45 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chunmei; Zhang, Shangyou A weak Galerkin method for elasticity interface problems. (English) Zbl 1496.65226 J. Comput. Appl. Math. 419, Article ID 114726, 14 p. (2023). MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Waixiang; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations. (English) Zbl 1496.65207 J. Comput. Appl. Math. 419, Article ID 114698, 18 p. (2023). MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ortegón Gallego, Francisco; Rhoudaf, Mohamed; Talbi, Hajar Capacity solution and numerical approximation to a nonlinear coupled elliptic system in anisotropic Sobolev spaces. (English) Zbl 07919237 J. Appl. Anal. Comput. 12, No. 6, 2184-2207 (2022). MSC: 35J47 35J70 47H05 46E35 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Bunoiu, Renata; Ramdani, Karim; Timofte, Claudia \(T\)-Coercivity for the homogenization of sign-changing coefficients scalar problems with extreme contrasts. (English) Zbl 07831084 Math. Rep., Buchar. 24(74), No. 1-2, 113-123 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 78M40 35Q60 35J20 × Cite Format Result Cite Review PDF
Bekmaganbetov, Kuanysh A.; Chepyzhov, Vladimir V.; Chechkin, Gregory A. Strong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium. (English. Russian original) Zbl 1522.35092 Izv. Math. 86, No. 6, 1072-1101 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 6, 47-78 (2022). MSC: 35B41 35B27 35K20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Derumigny, Alexis; Fermanian, Jean-David Conditional empirical copula processes and generalized measures of association. (English) Zbl 07633925 Electron. J. Stat. 16, No. 2, 5692-5719 (2022). MSC: 62G05 62G30 62H20 62G09 × Cite Format Result Cite Review PDF Full Text: DOI Link
You, Xiaoguang; Zang, Aibin Global well-posedness of second-grade fluid equations in 2D exterior domain. (English) Zbl 1504.35404 Acta Appl. Math. 182, Paper No. 10, 19 p. (2022). MSC: 35Q35 35Q31 35D30 35G31 76A05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Court, Sébastien; Kunisch, Karl Design of the monodomain model by artificial neural networks. (English) Zbl 1549.49057 Discrete Contin. Dyn. Syst. 42, No. 12, 6031-6061 (2022). MSC: 49N45 35D30 35K40 35K45 35K58 35B30 35M99 41A99 49J45 49N15 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baccouch, Mahboub An arbitrary-order ultra-weak discontinuous Galerkin method for two-dimensional semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 1513.65460 Int. J. Numer. Anal. Model. 19, No. 6, 864-886 (2022). MSC: 65N30 65N12 65N15 35J15 × Cite Format Result Cite Review PDF Full Text: Link
Al-Taweel, Ahmed; Hussain, Saqib; Wang, Xiaoshen Analysis of weak Galerkin finite element methods with supercloseness. (English) Zbl 1513.65459 Int. J. Numer. Anal. Model. 19, No. 6, 761-776 (2022). MSC: 65N30 65N15 35J50 35J15 65N12 × Cite Format Result Cite Review PDF Full Text: Link
Durante, Fabrizio; Fernández-Sánchez, Juan; Ignazzi, Claudio Baire category results for stochastic orders. (English) Zbl 1501.60017 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 188, 15 p. (2022). Reviewer: Taizhong Hu (Hefei) MSC: 60E15 26A21 62H05 × Cite Format Result Cite Review PDF Full Text: DOI
Kovyrkina, O. A.; Kurganov, A. A.; Ostapenko, V. V. Comparative analysis of the accuracy of three different schemes in the calculation of shock waves. (Russian. English summary) Zbl 1514.76055 Mat. Model. 34, No. 10, 43-64 (2022). MSC: 76M20 76M12 76L05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Shen, Jin-ye; Ren, Jincheng; Chen, Shanzhen A second-order energy stable and nonuniform time-stepping scheme for time fractional Burgers’ equation. (English) Zbl 1524.65393 Comput. Math. Appl. 123, 227-240 (2022). MSC: 65M06 65M12 35R11 65M15 35Q53 26A33 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Qi; Ji, Liangyue; Ryan, Jennifer K.; Xu, Yan Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives. (English) Zbl 1497.65183 J. Sci. Comput. 93, No. 1, Paper No. 13, 31 p. (2022). MSC: 65M60 65M06 65N30 65M12 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
Pagurova, V. I. Order statistics close to a minimum. (English. Russian original) Zbl 07587445 Mosc. Univ. Comput. Math. Cybern. 46, No. 2, 93-98 (2022); translation from Vestn. Mosk. Univ., Ser. XV 2022, No. 2, 34-39 (2022). MSC: 62Gxx 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Andreianov, Boris; Sylla, Abraham Existence analysis and numerical approximation for a second-order model of traffic with orderliness marker. (English) Zbl 1498.35356 Math. Models Methods Appl. Sci. 32, No. 7, 1295-1348 (2022). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35D30 65M08 76A30 90B06 × Cite Format Result Cite Review PDF Full Text: DOI HAL