Liu, Weizhi; Chen, Hu; Zaky, Mahmoud Error analysis of an ADI scheme for the two-dimensional fractal mobile/immobile transport equation with weakly singular solutions. (English) Zbl 07984904 Appl. Numer. Math. 210, 113-122 (2025). MSC: 65M15 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
González-Pinto, S.; Hernández-Abreu, D. Boundary corrections for splitting methods in the time integration of multidimensional parabolic problems. (English) Zbl 07984903 Appl. Numer. Math. 210, 95-112 (2025). MSC: 65M12 65M15 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Lei; Lv, Junliang; Niu, Tian An adaptive DtN-FEM for the scattering problem from orthotropic media. (English) Zbl 07984887 Appl. Numer. Math. 209, 140-154 (2025). MSC: 65N12 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Khot, Rekha; Mora, David; Ruiz-Baier, Ricardo Virtual element methods for Biot-Kirchhoff poroelasticity. (English) Zbl 07984327 Math. Comput. 94, No. 353, 1101-1146 (2025). MSC: 65N30 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tran, Ngoc Tien Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form. (English) Zbl 07984325 Math. Comput. 94, No. 353, 1043-1064 (2025). MSC: 65N12 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Jeonghun J.; Ruiz Bolanos, Jesus Indalecio Analysis of robust hybridized discontinuous Galerkin methods for viscoacoustic wave equations. (English) Zbl 07983291 J. Sci. Comput. 102, No. 3, Paper No. 89, 25 p. (2025). MSC: 65M60 65M06 65N30 65M15 65M12 76Q05 74F99 35R09 35A01 35A02 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng Error analysis of finite element approximation for mean curvature flows in axisymmetric geometry. (English) Zbl 07983290 J. Sci. Comput. 102, No. 3, Paper No. 88, 33 p. (2025). MSC: 65M60 65D32 65M12 65M15 53E10 35B07 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaoli; Liu, Hao; Zheng, Nan Second-order, energy-stable and maximum bound principle preserving schemes for two-phase incompressible flow. (English) Zbl 07983285 J. Sci. Comput. 102, No. 3, Paper No. 83, 27 p. (2025). MSC: 65M12 65M15 35K35 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Qisheng; Liu, Jike; Chamoin, Ludovic; Wang, Li Strict discretization error bounds on quantities of interest in transient dynamics. (English) Zbl 07982175 Int. J. Numer. Methods Eng. 126, No. 1, Article ID e7622, 23 p. (2025). MSC: 65M60 65M06 65N30 65M15 65N15 65M50 65N50 74B10 74S05 74S20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Kwang-Yeon; Kwak, Do Young Mixed finite volume method for two-dimensional Maxwell’s equations. (English) Zbl 07981476 J. Korean Math. Soc. 62, No. 1, 77-96 (2025). MSC: 65N08 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Kropielnicka, K.; Del Valle, J. C. Second order exponential splittings in the presence of unbounded and time-dependent operators: construction and convergence. (English) Zbl 07981232 SIAM J. Numer. Anal. 63, No. 1, 288-305 (2025). MSC: 34A45 65L70 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mamonov, Alexander V.; Olshanskii, Maxim A. A priori analysis of a tensor ROM for parameter dependent parabolic problems. (English) Zbl 07981230 SIAM J. Numer. Anal. 63, No. 1, 239-261 (2025). MSC: 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Jiachuan; Li, Buyang; Lin, Yanping; Yao, Fangyan Numerical approximation of discontinuous solutions of the semilinear wave equation. (English) Zbl 07981229 SIAM J. Numer. Anal. 63, No. 1, 214-238 (2025). MSC: 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiaojun; He, Yifan; Zhang, Zaikun Tight error bounds for the sign-constrained Stiefel manifold. (English) Zbl 07980675 SIAM J. Optim. 35, No. 1, 302-329 (2025). MSC: 65K05 90C26 90C30 90C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Lin; Zhai, Qilong; Zhang, Ran The weak Galerkin finite element method for Stokes interface problems with curved interface. (English) Zbl 07980389 Appl. Numer. Math. 208, Part B, 98-122 (2025). MSC: 65-XX 35B45 65N15 65N22 65N30 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Finite element analysis for the Navier-Lamé eigenvalue problem. (English) Zbl 07980375 Appl. Numer. Math. 208, Part B, 1-20 (2025). MSC: 65N25 65N30 35Q74 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allegrini, Paola; Vignal, Marie-Hélène Study of a new low-oscillating second-order all-Mach number IMEX finite volume scheme for the full Euler equations. (English) Zbl 07979709 SIAM J. Sci. Comput. 47, No. 1, A268-A299 (2025). MSC: 65M08 65M12 65M15 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Gangl, Peter; Löscher, Richard; Steinbach, Olaf Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints. (English) Zbl 07979088 Comput. Math. Appl. 180, 242-260 (2025). MSC: 49M41 49M05 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong Robust finite element solvers for distributed hyperbolic optimal control problems. (English) Zbl 07979085 Comput. Math. Appl. 180, 166-190 (2025). MSC: 49J20 49M05 35L05 65M60 65M15 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng; Ling, Leevan; Yun, Dongfang Proving the stability estimates of variational least-squares kernel-based methods. (English) Zbl 07979078 Comput. Math. Appl. 180, 46-60 (2025). MSC: 65N12 65D15 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Jiliang; Wang, Wansheng; Xiao, Aiguo Adaptive fast \(L1-2\) scheme for solving time fractional parabolic problems. (English) Zbl 07979065 Comput. Math. Appl. 179, 59-76 (2025). MSC: 65M15 65M50 65M06 65M12 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wanxiang; Chen, Yanping; Liang, Qin Unified analysis of conforming and nonconforming virtual element methods for nonlinear Sobolev equations. (English) Zbl 07978322 Calcolo 62, No. 1, Paper No. 7, 43 p. (2025). MSC: 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xianjin; Lee, Chiun-Chang; Yang, Wen Asymptotics and computation for a class of Fredholm integro-differential equations. (English) Zbl 07978202 Discrete Contin. Dyn. Syst. 45, No. 4, 1008-1044 (2025). MSC: 34B10 34D15 34E05 65L05 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Alber, Christian; Ma, Chupeng; Scheichl, Robert A mixed multiscale spectral generalized finite element method. (English) Zbl 07978167 Numer. Math. 157, No. 1, 1-40 (2025). MSC: 65M60 65N15 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bochacik, Tomasz; Przybyłowicz, Paweł; Stępień, Łukasz Convergence and stability of randomized implicit two-stage Runge-Kutta schemes. (English) Zbl 07977315 BIT 65, No. 1, Paper No. 7, 23 p. (2025). MSC: 65L06 65L70 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Fuzheng; Zhang, Shangyou An explicit superconvergent weak Galerkin finite element method for the heat equation. (English) Zbl 07976973 Adv. Appl. Math. Mech. 17, No. 2, 538-553 (2025). MSC: 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yaoyao; Liu, Ying; Wang, Hao Time-space adaptive finite element method for nonlinear Schrödinger equation. (English) Zbl 07976956 Adv. Appl. Math. Mech. 17, No. 1, 207-223 (2025). MSC: 65N15 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Oanh Thi Dang An improved adaptive meshless refinement for the RBF-FD method for 2D elliptic equations. (English) Zbl 07975449 Vietnam J. Math. 53, No. 2, 365-387 (2025). MSC: 65M06 65N06 65D12 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Kawai, Shuto; Sato, Shun; Matsuo, Takayasu Mathematical analysis of a norm-conservative numerical scheme for the Ostrovsky equation. (English) Zbl 07975343 Japan J. Ind. Appl. Math. 42, No. 1, 153-176 (2025). MSC: 65M06 65N06 65B15 65M12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Duchesne, Gabriel William; Lessard, Jean-Philippe; Takayasu, Akitoshi A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory. (English) Zbl 07975335 J. Sci. Comput. 102, No. 3, Paper No. 62, 66 p. (2025). MSC: 65M70 65M06 65N35 65M15 65G40 35A01 35B40 35K91 68V05 41A50 76D05 76M22 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gupta, Shipra; Yadav, Sangita Hybridizable discontinuous Galerkin method for strongly damped wave problem. (English) Zbl 07975333 J. Sci. Comput. 102, No. 3, Paper No. 60, 27 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 35B45 35B65 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chuan; Wang, Zicheng; Wang, Zhongqing A multi-domain spectral method with mapping techniques for the Fokker-Planck equation in irregular domains. (English) Zbl 07975325 J. Sci. Comput. 102, No. 2, Paper No. 52, 20 p. (2025). MSC: 35Q84 65M55 65M70 41A10 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Weizhang; Shen, Jinye A grid-overlay finite difference method for inhomogeneous Dirichlet problems of the fractional Laplacian on arbitrary bounded domains. (English) Zbl 07975323 J. Sci. Comput. 102, No. 2, Paper No. 50, 26 p. (2025). MSC: 65N06 65N50 65T50 65F08 65F50 65M12 65M15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Meng; Liu, Xing; Yang, Shiyuan Threshold stability analysis of an unconditionally positivity-preserving numerical method for a nonlinear age-structured diffusive HIV model with spatial coefficients. (English) Zbl 07975303 Z. Angew. Math. Phys. 76, No. 1, Paper No. 31, 26 p. (2025). MSC: 65M20 65N06 65M06 65M25 65M12 65M15 35A01 35A02 35B09 92D30 92C60 92-08 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lulu; He, Yinnian; Feng, Xinlong A difference virtual element method for the 3D elliptic equation with the variable coefficient on general cylindrical domains. (English) Zbl 07973983 Int. J. Numer. Anal. Model. 22, No. 1, 96-112 (2025). MSC: 65N06 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yuxing; Wang, Bo A linearized, decoupled and unconditionally stable BDF2 FEM for the active fluid model. (English) Zbl 07973981 Int. J. Numer. Anal. Model. 22, No. 1, 40-70 (2025). MSC: 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Tianyang; Guo, Hailong; Zhang, Zhimin Recovery based linear finite element methods for Hamilton-Jacobi-Bellman equation with cordes coefficients. (English) Zbl 07972551 SIAM J. Numer. Anal. 63, No. 1, 23-53 (2025). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65H10 65N50 65N12 65N15 35J15 35F21 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Hyung Jun; Kim, Seonghak; Koh, Youngwoo Time splitting method for nonlinear Schrödinger equation with rough initial data in \(L^2\). (English) Zbl 07971489 J. Differ. Equations 417, 164-190 (2025). MSC: 35Q55 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chrysafinos, Konstantinos; Paraschis, Panagiotis Error estimates for discontinuous Galerkin time-stepping schemes for the parabolic \(p\)-Laplacian: a quasi-norm approach. (English) Zbl 07971374 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 449-485 (2025). MSC: 65M15 65M60 35K92 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical approximation for stochastic nonlinear fractional diffusion equation driven by rough noise. (English) Zbl 07971372 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 389-418 (2025). MSC: 65M60 65M06 65N30 65D32 65C30 65M12 65M15 60G22 35B65 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mahata, Shantiram; Nataraj, Neela; Raymond, Jean-Pierre Lowest-order nonstandard finite element methods for time-fractional biharmonic problem. (English) Zbl 07971361 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 43-71 (2025). MSC: 65-XX 35R11 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcon, Francesca; Mora, David A stabilization-free virtual element method for the convection-diffusion eigenproblem. (English) Zbl 07969191 J. Sci. Comput. 102, No. 2, Paper No. 46, 33 p. (2025). MSC: 65N25 65N30 65N12 65N15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Meddahi, Salim An \(hp\) error analysis of HDG for linear fluid-structure interaction. (English) Zbl 07969189 J. Sci. Comput. 102, No. 2, Paper No. 44, 34 p. (2025). MSC: 65M60 65M06 65N30 65N12 65N15 76D07 76Z05 74F10 92C35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Nan; Yue, Jiahe; Liao, Hong-lin Mesh-robust convergence of a third-order variable-step deferred correction method for the Cahn-Hilliard model. (English) Zbl 07969188 J. Sci. Comput. 102, No. 2, Paper No. 43, 26 p. (2025). MSC: 65M06 65B05 65M12 65M15 74A50 74A60 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yiran; Chung, Eric; Sun, Shuyu Physics-preserving IMPES based multiscale methods for immiscible two-phase flow in highly heterogeneous porous media. (English) Zbl 07969183 J. Sci. Comput. 102, No. 2, Paper No. 38, 27 p. (2025). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 76T06 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Xucheng; Qin, Yuzhe; Hu, Guanghui The convergence analysis of a class of stabilized semi-implicit isogeometric methods for the Cahn-Hilliard equation. (English) Zbl 07969171 J. Sci. Comput. 102, No. 1, Paper No. 26, 35 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 65M22 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ling; Song, Huailing; Yi, Wenfan Improved uniform error bounds on a Lawson-type exponential integrator method for long-time dynamics of the nonlinear double sine-Gordon equation. (English) Zbl 07969170 J. Sci. Comput. 102, No. 1, Paper No. 25, 30 p. (2025). MSC: 65M70 65M12 65M15 35C08 35B05 35B65 41A58 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongpeng; Rui, Hongxing; Gao, Mengqi Two-grid reduced-order method based on POD for a nonlinear poroelasticity model. (English) Zbl 07968718 J. Comput. Appl. Math. 460, Article ID 116413, 18 p. (2025). MSC: 65M60 65M06 65N30 65M55 65M99 65N50 65M15 76S05 74F10 74L10 74B10 76M10 76M20 74S05 74S20 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jingshi; Zhang, Jiachuan; Zhang, Ran Viscosity-independent reliability and efficiency constants for Brinkman equations with stabilized Crouzeix-Raviart element. (English) Zbl 07968716 J. Comput. Appl. Math. 460, Article ID 116411, 11 p. (2025). MSC: 65N30 65N15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Mengli; Wang, Wansheng; Tian, Tianhai; Wang, Lehan Adaptive option pricing based on a posteriori error estimates for fully discrete finite difference methods. (English) Zbl 07968713 J. Comput. Appl. Math. 460, Article ID 116407, 26 p. (2025). MSC: 91G60 65M06 65M15 65M50 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Minakowski, P.; Richter, T. Erratum to: “A priori and a posteriori error estimates for the deep Ritz method applied to the Laplace and Stokes problem”. (English) Zbl 07968712 J. Comput. Appl. Math. 460, Article ID 116406, 2 p. (2025). MSC: 65N30 65N15 68T07 76D07 35J05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Zhijun; Zeng, Yunhua Temporal second-order two-grid finite element method for semilinear time-fractional Rayleigh-Stokes equations. (English) Zbl 07968686 J. Comput. Appl. Math. 459, Article ID 116375, 17 p. (2025). MSC: 65M60 65M06 65N30 65M55 65M12 65M15 35A21 76A05 76M10 76M20 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Shuangshuang A combined mixed finite element method and discontinuous Galerkin method for hybrid-dimensional fracture models of two-phase flow. (English) Zbl 07968684 J. Comput. Appl. Math. 459, Article ID 116373, 32 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 76T06 74F10 74L10 74R10 76M10 76M20 74S05 74S20 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Hu, Hanzhang Two-grid finite element methods for space-fractional nonlinear Schrödinger equations. (English) Zbl 07968681 J. Comput. Appl. Math. 459, Article ID 116370, 14 p. (2025). MSC: 65M60 65M06 65N30 65M55 65H10 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xiaohui; Chen, Yanping; Wang, Yang Error analysis of two-grid virtual element method for nonlinear parabolic problems on general polygonal meshes. (English) Zbl 07968680 J. Comput. Appl. Math. 459, Article ID 116369, 16 p. (2025). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Yande; Yang, Yun-Bo An Arrow-Hurwicz iterative method based on charge-conservation for the stationary inductionless magnetohydrodynamic system. (English) Zbl 07968273 Numer. Algorithms 98, No. 2, 1045-1084 (2025). MSC: 65N30 65N12 65N15 76W05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Qichen; Chen, Tyler A posteriori error bounds for the block-Lanczos method for matrix function approximation. (English) Zbl 07968268 Numer. Algorithms 98, No. 2, 903-927 (2025). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ren, Huimin; Zhang, Qi; Zhou, Zhongguo The second-order modified upwind PPM characteristic difference method and analysis for solving convection-diffusion equations. (English) Zbl 07968255 Numer. Algorithms 98, No. 2, 503-530 (2025). MSC: 65N06 65M06 65M25 65N12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ocqueteau, Vicente; Gormaz, Raúl; Martín, Jorge San; Conca, Carlos A parabolic multiscale inverse problem approached via homogenization: a numerical method. (English) Zbl 07967999 J. Math. Anal. Appl. 544, No. 2, Article ID 129073, 27 p. (2025). MSC: 65M32 65M60 65L06 65N30 65N50 65M12 65M15 35B27 35A01 35B05 76M50 76M10 35Q35 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wensi; Xuan, Hailing; Cheng, Xiaoliang; Liang, Kewei Numerical analysis and simulation of a quasistatic frictional bilateral contact problem with damage, long-term memory and wear. (English) Zbl 07967281 Comput. Math. Appl. 177, 130-146 (2025). MSC: 65M15 74G30 65N30 74M15 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Berrone, Stefano; Borio, Andrea; Marcon, Francesca Lowest order stabilization free virtual element method for the 2D Poisson equation. (English) Zbl 07967278 Comput. Math. Appl. 177, 78-99 (2025). MSC: 65N12 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arbogast, Todd; Wang, Chuning Direct serendipity finite elements on cuboidal hexahedra. (English) Zbl 07967164 Comput. Methods Appl. Mech. Eng. 433, Part A, Article ID 117500, 20 p. (2025). MSC: 65N30 65N12 65N15 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Gräßle, Benedikt; Pirch, Emilie Comparison of guaranteed lower eigenvalue bounds with three skeletal schemes. (English) Zbl 07967142 Comput. Methods Appl. Mech. Eng. 433, Part A, Article ID 117477, 15 p. (2025). MSC: 65-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mora, David; Silgado, Alberth Stream virtual elements for the Navier-Stokes system: nonstandard boundary conditions and variable recovery algorithms. (English) Zbl 07967119 SIAM J. Sci. Comput. 47, No. 1, A207-A237 (2025). MSC: 65N30 65N12 65N15 76D05 35B65 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Gopalakrishnan, Jay; Grosek, Jacob; Pinochet-Soto, Gabriel; VandenBerge, Pieter Adaptive resolution of fine scales in modes of microstructured optical fibers. (English) Zbl 07967115 SIAM J. Sci. Comput. 47, No. 1, B108-B130 (2025). MSC: 65N30 65N25 65N15 78A10 78A60 35P15 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Rupert Dual linear programming bounds for sphere packing via discrete reductions. (English) Zbl 07966473 Adv. Math. 460, Article ID 110043, 24 p. (2025). MSC: 90C46 90C05 94Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manimaran, J.; Shangerganesh, L.; Hariharan, S.; Basuodan, Reem M.; Hendy, A. S.; Zaky, Mahmoud A. On the effectiveness and precision of BDF2-discontinuous Galerkin scheme for nonlinear nonlocal reaction-diffusion models. (English) Zbl 07965877 Z. Angew. Math. Phys. 76, No. 1, Paper No. 26, 14 p. (2025). MSC: 65M60 65M06 65N30 65N12 65M12 65M15 35K57 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Guang-hua; Ge, Biao; Chen, Yanping Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation. (English) Zbl 07965412 J. Difference Equ. Appl. 31, No. 1, 115-153 (2025). MSC: 65M06 65N06 65M12 65M15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hang; Su, Chunmei Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions. (English) Zbl 07962051 Math. Comput. 94, No. 352, 727-762 (2025). MSC: 65M70 65T50 65N35 65M12 65M15 35B65 35C08 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Weiran; Wang, Li Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation. (English) Zbl 07962050 Math. Comput. 94, No. 352, 681-725 (2025). MSC: 65M70 65T50 65N35 65M12 65M15 41A50 35B40 26A33 35R11 82C40 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yonghai; Yang, Peng; Zhang, Zhimin Polynomial preserving recovery for the finite volume element methods under simplex meshes. (English) Zbl 07962048 Math. Comput. 94, No. 352, 611-645 (2025). MSC: 65N08 65N50 65K10 65N30 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Ma, Shu; Sun, Weiwei Optimal analysis of finite element methods for the stochastic Stokes equations. (English) Zbl 07962046 Math. Comput. 94, No. 352, 551-583 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 60H15 35R60 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Chunlong; Zhang, Wenlong Convergence estimates of the Tikhonov-type regularized solutions for the time-domain fluorescence diffuse optical tomography. (English) Zbl 07961493 Appl. Math. Lett. 160, Article ID 109353, 6 p. (2025). MSC: 65M32 65M30 65M60 65M06 65N30 65K10 65J20 65M12 65M15 35R30 35A01 35A02 78A46 78A45 78A60 35Q60 92C55 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jianguo; Wang, Wenxuan A locking-free virtual element method for 3D linear elasticity problems. (English) Zbl 07961473 Appl. Math. Lett. 160, Article ID 109333, 7 p. (2025). MSC: 65N30 65N15 74B10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Kopteva, Natalia Error analysis of an \(\mathrm{L}2\)-type method on graded meshes for semilinear subdiffusion equations. (English) Zbl 07961446 Appl. Math. Lett. 160, Article ID 109306, 5 p. (2025). MSC: 65M06 65M12 65M15 26A33 35R11 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Wei; Tan, Zhiyu A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces. (English) Zbl 07960910 J. Sci. Comput. 102, No. 1, Paper No. 21, 29 p. (2025). MSC: 65K10 65N12 65N15 65N30 49J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Yuxiang; Chen, Jinru; Wang, Feng A Nitsche’s extended conforming virtual element method for Stokes interface problems. (English) Zbl 07960907 J. Sci. Comput. 102, No. 1, Paper No. 18, 35 p. (2025). MSC: 65N30 65N15 76D07 76T30 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fangyuan; Wang, Qiming; Zhou, Zhaojie Adaptive finite element approximation of sparse optimal control problem with integral fractional Laplacian. (English) Zbl 07960906 J. Sci. Comput. 102, No. 1, Paper No. 17, 31 p. (2025). MSC: 65N30 65N50 65N12 65N15 49J20 49M25 35A15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chin, Pius W. M. The existence of the global solution of the semi-linear Schrödinger equation with numerical computation on the Dirichlet boundary. (English) Zbl 07960325 J. Appl. Anal. Comput. 15, No. 2, 786-809 (2025). MSC: 35J47 35J70 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yue Jie; Teng, Fei; Zeng, Yi Hui; Luo, Zhen Dong Two-grid reduced-dimension extrapolated method of Crank-Nicolson finite element solution coefficient vectors for nonlinear parabolic equation. (English) Zbl 07959231 Comput. Appl. Math. 44, No. 1, Paper No. 15, 25 p. (2025). MSC: 65N12 65M15 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaolin; Cui, Xiyong; Zhang, Shougui Analysis of a Crank-Nicolson fast element-free Galerkin method for the nonlinear complex Ginzburg-Landau equation. (English) Zbl 07958860 J. Comput. Appl. Math. 457, Article ID 116323, 21 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Wansheng; Chamoin, Ludovic; Neuweiler, Insa Non-intrusive reduced basis two-grid method for flow and transport problems in heterogeneous porous media. (English) Zbl 07958858 J. Comput. Appl. Math. 457, Article ID 116321, 18 p. (2025). MSC: 65M55 65N50 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35R60 35Q35 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Shuo; Tian, Liutao; Tian, Hongjiong A posteriori error estimates and adaptivity for the IMEX BDF2 method for nonlinear parabolic equations. (English) Zbl 07958855 J. Comput. Appl. Math. 457, Article ID 116318, 15 p. (2025). MSC: 65M06 65M15 65M50 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Bazarra, N.; Fernández, J. R.; Quintanilla, R. Numerical analysis of a thermoelastic problem of Moore-Gibson-Thompson type with history dependence in the thermal displacement. (English) Zbl 07958854 J. Comput. Appl. Math. 457, Article ID 116317, 15 p. (2025). MSC: 74F05 74S05 74S20 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhuoyue; Cai, Wentao Optimal \(L^2\) error estimates of mass- and energy- conserved FE schemes for a nonlinear Schrödinger-type system. (English) Zbl 07958850 J. Comput. Appl. Math. 457, Article ID 116313, 16 p. (2025). MSC: 65M60 35Q55 65M06 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Yanzhen; Tang, Shibing; Zhang, Chao Finite difference methods for stochastic Helmholtz equation driven by white noise. (English) Zbl 07958823 J. Comput. Appl. Math. 457, Article ID 116286, 15 p. (2025). MSC: 65N06 65N15 65N12 60H15 60H40 60H50 35B65 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Guo, Jixiao Unconditional error analysis of the linearized transformed \(L1\) virtual element method for nonlinear coupled time-fractional Schrödinger equations. (English) Zbl 07958820 J. Comput. Appl. Math. 457, Article ID 116283, 20 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Fei; Guo, Yasai; Xie, Manting A novel multilevel finite element method for a generalized nonlinear Schrödinger equation. (English) Zbl 07958817 J. Comput. Appl. Math. 457, Article ID 116280, 21 p. (2025). MSC: 65M60 35Q55 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Janes, Andrew; Singler, John R. A new proper orthogonal decomposition method with second difference quotients for the wave equation. (English) Zbl 07958816 J. Comput. Appl. Math. 457, Article ID 116279, 15 p. (2025). MSC: 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandha, Raghunath; Sinha, Rajen Kumar A new space transformed finite element method for elliptic interface problems in \(\mathbb{R}^n\). (English) Zbl 07958815 J. Comput. Appl. Math. 457, Article ID 116277, 16 p. (2025). MSC: 65N30 35J25 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Chaskalovic, Joël; Assous, Franck A refined first-order expansion formula in \(\mathbb{R}^n\): application to interpolation and finite element error estimates. (English) Zbl 07958812 J. Comput. Appl. Math. 457, Article ID 116274, 14 p. (2025). MSC: 65N30 65D05 65N25 65N15 41A58 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Seungyoon; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher-Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 07958811 J. Comput. Appl. Math. 457, Article ID 116273, 17 p. (2025). MSC: 65M06 65N06 65D05 65M12 65M15 35C07 35B09 35B50 92D25 35Q92 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Song, Fangying; Yang, Xiaofeng; Zhang, Yu Error analysis of the explicit-invariant energy quadratization (EIEQ) numerical scheme for solving the Allen-Cahn equation. (English) Zbl 07958792 J. Comput. Appl. Math. 457, Article ID 116224, 16 p. (2025). MSC: 65M06 65M12 65M15 35R09 35A15 35A02 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Xianli; Feng, Xiufang A kind regularization method for solving Cauchy problem of the Schrödinger equation. (English) Zbl 07958791 J. Comput. Appl. Math. 457, Article ID 116206, 14 p. (2025). MSC: 65M32 65M30 65M38 65J20 65T50 65M12 65M15 35R30 35R25 35B45 35B65 35A01 35A02 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Xiaoji; Chu, Xiaochen; Zhang, Tong; Yang, Pengliang A stabilized finite volume method based on the rotational pressure correction projection for the time-dependent incompressible MHD equations. (English) Zbl 07954707 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108389, 25 p. (2025). MSC: 65M08 65M60 65M06 65N08 65N30 65M15 65M12 76W05 76U05 76M12 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
An, Rong; Wan, Weiwen Uniform error analysis of an exponential IMEX-SAV method for the incompressible flows with large Reynolds number based on grad-div stabilization. (English) Zbl 07954704 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108386, 13 p. (2025). MSC: 76M10 35Q30 65M12 65M15 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Shanshan; Chen, Yanping Unconditional error analysis of weighted implicit-explicit virtual element method for nonlinear neutral delay-reaction-diffusion equation. (English) Zbl 07954702 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108384, 23 p. (2025). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 65H10 35K57 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Jia, Xu; Yang, Jinjin Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity. (English) Zbl 07954701 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108383, 14 p. (2025). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chaobao; An, Na; Yu, Xijun; Chen, Hu Pointwise-in-time error analysis of the corrected \(\mathrm{L}1\) scheme for a time-fractional sine-Gordon equation. (English) Zbl 07954688 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108370, 11 p. (2025). MSC: 65M06 65N06 65M12 65M15 35A21 26A33 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Minghao; Shi, Dongyang; Li, Zhenzhen Convergence and superconvergence analysis for a mass conservative, energy stable and linearized BDF2 scheme of the Poisson-Nernst-Planck equations. (English) Zbl 07954669 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108351, 19 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 78A57 78A35 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI