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
Hoang, Manh Tuan High-order nonstandard finite difference methods preserving dynamical properties of one-dimensional dynamical systems. (English) Zbl 07965176 Numer. Algorithms 98, No. 1, 219-249 (2025). MSC: 65-XX 34A45 65L05 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng Efficient fully discrete finite element scheme for the ferrohydrodynamic rosensweig model and simulations of ferrofluid rotational flow problems. (English) Zbl 07964733 SIAM J. Sci. Comput. 47, No. 1, B28-B58 (2025). MSC: 65M60 65M06 65N30 65N12 65M12 76W05 76U05 76T20 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Ashby, Ben S.; Pryer, Tristan Discretisation of an Oldroyd-B viscoelastic fluid flow using a Lie derivative formulation. (English) Zbl 07964517 Adv. Comput. Math. 51, No. 1, Paper No. 1, 26 p. (2025). MSC: 65M60 65M06 65N30 65M25 76A10 76M10 76M20 76M60 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srati, Mohammed; Oulmelk, Abdessamad; Afraites, Lekbir; Hadri, Aissam An inverse problem of identifying two coefficients in a time-fractional reaction diffusion system. (English) Zbl 07962675 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 113-147 (2025). MSC: 49N45 49K40 65M06 49N45 34K37 49J20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Oulmelk, Abdessamad; Srati, Mohammed; Afraites, Lekbir; Hadri, Aissam Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation. (English) Zbl 07962671 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 15-42 (2025). MSC: 49N45 65M06 49N45 34K37 49J20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Aggarwal, Aekta; Vaidya, Ganesh Convergence of the numerical approximations and well-posedness: nonlocal conservation laws with rough flux. (English) Zbl 07962047 Math. Comput. 94, No. 352, 585-610 (2025). MSC: 35L65 35B44 35R09 65M06 65M08 76A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Li, Liang; Wang, YanMeng; Zhu, Jun A new hybrid trigonometric WENO scheme for hyperbolic conservation laws and highly oscillatory problems. (English) Zbl 07961479 Appl. Math. Lett. 160, Article ID 109339, 7 p. (2025). MSC: 65M06 65N06 35L65 35L03 35B05 76N15 76M20 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Jianxiong; Xu, Wenhao Adaptive-coefficient finite difference frequency domain method for time fractional diffusive-viscous wave equation arising in geophysics. (English) Zbl 07961477 Appl. Math. Lett. 160, Article ID 109337, 7 p. (2025). MSC: 65M06 65N06 86A15 76S05 35L05 26A33 35R11 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Jiashu; Zhang, Lei; Guo, Xuncheng; Qi, Qiong A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems. (English) Zbl 07961468 Appl. Math. Lett. 160, Article ID 109328, 5 p. (2025). MSC: 65M70 65M06 65N35 65M99 65D12 65D07 65D05 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Kopteva, Natalia Error analysis of an L2-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
Cheng, Qing; Guo, Jing; Wang, Dong Computing optimal partition problems via Lagrange multiplier approach. (English) Zbl 07960911 J. Sci. Comput. 102, No. 1, Paper No. 22, 28 p. (2025). MSC: 65M06 65M22 65K10 65H10 05C45 35R09 35B09 49M41 49Q10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sultan, Saad; Zhang, Zhengce Adaptive temporal mesh equidistribution for studying the singularly perturbed delay-in-time parabolic equations. (English) Zbl 07960824 Z. Angew. Math. Phys. 76, No. 1, Paper No. 1, 21 p. (2025). MSC: 65M06 65N06 65M12 65M50 35B25 35R07 35B40 80A19 92D30 92D25 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
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
Matveev, Segey; Tretyak, Ilya Nonnegative tensor train for the multicomponent Smoluchowski equation. (English) Zbl 07959251 Comput. Appl. Math. 44, No. 1, Paper No. 35, 19 p. (2025). MSC: 15A69 15A24 34G20 37A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neelan, A. Arun Govind; Bürger, Raimund; Nair, Manoj T.; Rathan, Samala Higher-order conservative discretizations on arbitrarily varying non-uniform grids. (English) Zbl 07959243 Comput. Appl. Math. 44, No. 1, Paper No. 27, 29 p. (2025). MSC: 65M08 65M06 65N08 65M12 41A58 76D17 76D05 76M12 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Soga, Kohei Finite difference methods for linear transport equations with Sobolev velocity fields. (English) Zbl 07959174 J. Math. Fluid Mech. 27, No. 1, Paper No. 6, 21 p. (2025). MSC: 35Q49 35D30 65M06 65M12 53A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
García, A.; Negreanu, M.; Ureña, F.; Vargas, A. M. On the numerical solution to space fractional differential equations using meshless finite differences. (English) Zbl 07958859 J. Comput. Appl. Math. 457, Article ID 116322, 10 p. (2025). MSC: 65M06 65N06 65K10 65M12 26A33 35R11 × 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
Ferreira, José A.; Grassi, Mario; Gudiño, Elías; de Oliveira, Paula Non-Fickian diffusion enhanced by temperature. (English) Zbl 07958851 J. Comput. Appl. Math. 457, Article ID 116314, 19 p. (2025). MSC: 35Q92 35Q35 92C50 92C45 92C35 92C40 76A10 76Z05 76R50 82D60 80A19 92-08 65M06 65N06 65M12 35D30 35B35 × 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
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
Vasilyeva, Maria Generalized multiscale finite element method for discrete network (graph) models. (English) Zbl 07958813 J. Comput. Appl. Math. 457, Article ID 116275, 26 p. (2025). MSC: 65M60 65M06 65N30 65N25 65M12 05C90 05C80 35R02 × 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
Huang, Jian; Yue, Zhen; Zhang, Jing; Fu, Kai; Feng, Xilin Numerical discretization of a Darcy-Forchheimer flow with variable density and heat transfer. (English) Zbl 07958797 J. Comput. Appl. Math. 457, Article ID 116252, 20 p. (2025). MSC: 65N06 65N12 35K55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Meng; Kong, Linghua; Liang, Yiru; Wang, Wei; Yang, Wei An unconditional stable modified finite element methods for Maxwell’s equation in Kerr-type nonlinear media. (English) Zbl 07958794 J. Comput. Appl. Math. 457, Article ID 116247, 17 p. (2025). MSC: 65M60 65M06 65N30 65L06 65M12 78A60 78M10 78M20 × 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
Saksa, Tytti Comparison of finite element and discrete exterior calculus in computation of time-harmonic wave propagation with controllability. (English) Zbl 07958790 J. Comput. Appl. Math. 457, Article ID 116154, 15 p. (2025). MSC: 65M60 65M06 65N30 76Q05 78A25 93B05 35P25 × Cite Format Result Cite Review PDF Full Text: DOI
Kytmanov, Alexey A.; Tsarev, Sergey P. Asymptotics of solutions of special second-order linear recurrencies with polynomial coefficients and boundary effects of polynomial filters. (English) Zbl 07955769 J. Symb. Comput. 128, Article ID 102386, 12 p. (2025). MSC: 65Q99 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Sitao; Liu, Lin; Ge, Zhixia; Liu, Yu; Feng, Libo; Wang, Jihong Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions. (English) Zbl 07954724 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108407, 17 p. (2025). MSC: 65M06 65N06 65M12 65T50 44A10 26A33 35R11 81Q05 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Haoying; Chen, Yu; Zhou, Dan Rogue wave patterns of two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 07954723 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108406, 19 p. (2025). MSC: 35Q55 35Q51 35Q35 35C08 35C05 35B35 35B36 35B20 37K10 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Renjie; Xu, Yezi; Fu, Hao; Yan, Dong Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation. (English) Zbl 07954717 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108400, 15 p. (2025). MSC: 65M06 65N06 65P10 37M15 35C08 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng; Bi, Jingjiang; Wang, Nan Structure-preserving weighted BDF2 methods for anisotropic Cahn-Hilliard model: uniform/variable-time-steps. (English) Zbl 07954713 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108395, 23 p. (2025). MSC: 65N30 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Xu, Xuemiao; Shi, Dongyang Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation. (English) Zbl 07954705 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108387, 14 p. (2025). MSC: 65M60 65M06 65N30 65M12 65D05 47H10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
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 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
Chen, Yanping; Liu, Zhengguang; Meng, Xiaoqing Partially and fully implicit multi-step SAV approaches with original dissipation law for gradient flows. (English) Zbl 07954697 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108379, 23 p. (2025). MSC: 65M06 65M12 35K20 35K35 35K55 65M70 × 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 L1 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
Zhang, Xue; Gu, Xian-Ming; Zhao, Yong-Liang Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay. (English) Zbl 07954676 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108358, 17 p. (2025). MSC: 65L05 65L12 65K10 × 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
Odibat, Zaid Numerical discretization of initial-boundary value problems for PDEs with integer and fractional order time derivatives. (English) Zbl 07954657 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108331, 12 p. (2025). MSC: 65M06 65N06 65L06 26A33 35R11 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qinghui; Huang, Pengzhan; He, Yinnian A generalized scalar auxiliary variable approach for the Navier-Stokes-\(\omega\)/Navier-Stokes-\(\omega\) equations based on the grad-div stabilization. (English) Zbl 07954655 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108329, 9 p. (2025). MSC: 65M60 65M06 65N30 76D05 76T06 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Ranocha, Hendrik; Winters, Andrew R.; Schlottke-Lakemper, Michael; Öffner, Philipp; Glaubitz, Jan; Gassner, Gregor J. On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. (English) Zbl 07953964 J. Comput. Phys. 520, Article ID 113471, 32 p. (2025). MSC: 65M06 65M20 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Xiaojuan; Cai, Yongyong Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows. (English) Zbl 07952206 Appl. Numer. Math. 207, 585-607 (2025). MSC: 65M60 65M06 65N30 65M12 76W05 76T06 76D05 78A25 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Huailing; Tan, Qingkui Stability analysis and error estimates of implicit-explicit Runge-Kutta least squares RBF-FD method for time-dependent parabolic equation. (English) Zbl 07952201 Appl. Numer. Math. 207, 499-519 (2025). MSC: 65M06 65D12 65L06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Shao, Wenting; Chen, Cheng A fourth order Runge-Kutta type of exponential time differencing and triangular spectral element method for two dimensional nonlinear Maxwell’s equations. (English) Zbl 07952193 Appl. Numer. Math. 207, 348-369 (2025). MSC: 65M70 35Q61 65L06 65M12 78M20 × Cite Format Result Cite Review PDF Full Text: DOI
Lemos-Silva, Márcia; Vaz, Sandra; Torres, Delfim F. M. Exact solution for a discrete-time SIR model. (English) Zbl 07952192 Appl. Numer. Math. 207, 339-347 (2025). MSC: 65L10 65L12 39A30 92-10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Dianming; Zhang, Tianxiang; Zhu, Hongyi A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility. (English) Zbl 07952186 Appl. Numer. Math. 207, 222-243 (2025). MSC: 65M06 65M15 41A05 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Río-Martín, Laura; Dhaouadi, Firas; Dumbser, Michael An exactly curl-free finite-volume/finite-difference scheme for a hyperbolic compressible isentropic two-phase model. (English) Zbl 07951589 J. Sci. Comput. 102, No. 1, Paper No. 13, 26 p. (2025). MSC: 76M12 76M20 76T17 76L05 76E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jiajie; Nakao, Joseph; Qiu, Jing-Mei; Yang, Yang A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws. (English) Zbl 07951588 J. Sci. Comput. 102, No. 1, Paper No. 12, 32 p. (2025). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65M20 65L06 65N08 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Chuan; Qiu, Jianxian; Zhao, Zhuang A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws. (English) Zbl 07951585 J. Sci. Comput. 102, No. 1, Paper No. 9, 36 p. (2025). MSC: 65M08 65M60 65M06 65N06 65L06 65D32 35L65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Z. J.; Fujimoto, Takeshi A time-accurate dynamic mesh approach for high-order shock computation. (English) Zbl 07951581 J. Sci. Comput. 102, No. 1, Paper No. 5, 26 p. (2025). MSC: 65M60 65M70 65N06 65N50 35L65 76L05 76H05 × Cite Format Result Cite Review PDF Full Text: DOI
Ha, Seung-Yeal; Lee, Eun Taek; Yoon, Wook Uniform-in-time stability and continuous transition of the time-discrete infinite Kuramoto model. (English) Zbl 07950075 J. Differ. Equations 415, 91-147 (2025). MSC: 39A30 65L05 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Mariappan, Manikandan An efficient computational algorithm for a class of nonlinear singular perturbation problems of convection diffusion type with Cauchy data. (English) Zbl 07948919 J. Nonlinear Sci. 35, No. 1, Paper No. 4, 19 p. (2025). MSC: 65L11 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhen; Zhao, Siyao; Wei, Yabing A numerical approach for the fractional Stokes equations with Caputo derivative. (English) Zbl 07948491 Discrete Contin. Dyn. Syst., Ser. B 30, No. 3, 1050-1068 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 76M20 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Hassan, Jamilu H.; Messaoudi, Salim A.; El Arwadi, Toufic; El Hindi, Mohammad Theoretical and numerical study of the decay in a viscoelastic Bresse system. (English) Zbl 07948472 Discrete Contin. Dyn. Syst., Ser. B 30, No. 2, 524-553 (2025). MSC: 35B40 35L53 65M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiaxin, Zhu; Yu, Li; Jie, Hou A novel high-order explicit exponential integrator scheme for the space-time fractional Bloch-Torrey equation. (English) Zbl 07942383 Comput. Appl. Math. 44, No. 1, Paper No. 9, 24 p. (2025). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wenjuan; Gao, Fuzheng; Cui, Jintao Interpolated coefficients stabilizer-free weak Galerkin method for semilinear parabolic convection-diffusion problem. (English) Zbl 07927819 Appl. Math. Lett. 159, Article ID 109268, 7 p. (2025). MSC: 65M60 65M06 65N30 65D05 65M12 76R50 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xindong; Feng, Yuelong; Luo, Ziyang; Liu, Juan A spatial sixth-order numerical scheme for solving fractional partial differential equation. (English) Zbl 07927817 Appl. Math. Lett. 159, Article ID 109265, 7 p. (2025). MSC: 65M06 65N06 65M12 65M15 65T50 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lin; Zhang, Sen; Ge, Zhixia; Feng, Libo Artificial boundary method for the fractional second-grade fluid flow on a semi-infinite plate with the effects of magnetic field and a power-law viscosity. (English) Zbl 07927816 Appl. Math. Lett. 159, Article ID 109263, 9 p. (2025). MSC: 65M06 65N06 65D32 76A10 76W05 76M20 74F10 74K20 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaohao; Mei, Liquan; Guo, Shimin Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 1547.65154 J. Comput. Appl. Math. 454, Article ID 116204, 20 p. (2025). MSC: 65M60 65M06 65N30 65L06 33C45 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Aliyari Boroujeni, Ahmad; Pourgholi, Reza; Tabasi, Seyed Hashem Numerical solutions of KdV and mKDV equations: using sequence and multi-core parallelization implementation. (English) Zbl 1547.65131 J. Comput. Appl. Math. 454, Article ID 116184, 28 p. (2025). MSC: 65M32 65M30 65M06 65N06 65Y05 35C08 35Q53 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Amirali, Ilhame; Fedakar, Burcu; Amiraliyev, Gabil M. Second-order numerical method for a neutral Volterra integro-differential equation. (English) Zbl 1545.65492 J. Comput. Appl. Math. 453, Article ID 116160, 8 p. (2025). MSC: 65R20 45J05 45D05 65L12 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Ham, Seokjun; Kang, Seungyoon; Hwang, Youngjin; Lee, Gyeonggyu; Kwak, Soobin; Jyoti; Kim, Junseok A fourth-order finite difference method for the Allen-Cahn equation. (English) Zbl 07900357 J. Comput. Appl. Math. 453, Article ID 116159, 16 p. (2025). MSC: 65Mxx 35Qxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Xia; Li, Rui; Chen, Zhangxin A discontinuous Galerkin method for the Brinkman-Darcy-transport problem. (English) Zbl 1545.65367 J. Comput. Appl. Math. 453, Article ID 116155, 30 p. (2025). MSC: 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chaskalovic, Joël; Assous, Franck Enhancing interpolation and approximation error estimates using a novel Taylor-like formula. (English) Zbl 1547.65108 J. Comput. Appl. Math. 453, Article ID 116153, 11 p. (2025). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M06 65N06 65D05 65M15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miksis, Zachary M.; Queisser, Gillian A New Fick-Jacobs Derivation with Applications to Computational Branched Diffusion Networks. arXiv:2501.08247 Preprint, arXiv:2501.08247 [math.NA] (2025). MSC: 65M06 65M12 65Y20 65Z05 × Cite Format Result Cite Full Text: arXiv
Wang, Siyang Stable and high-order accurate finite difference methods for the diffusive viscous wave equation. arXiv:2501.05771 Preprint, arXiv:2501.05771 [math.NA] (2025). MSC: 65M06 65M12 × Cite Format Result Cite Full Text: DOI arXiv OA License
Chumchal, Věnceslav; Marton, Pavel; Plešinger, Martin; Šimůnková, Martina Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material. arXiv:2501.03377 Preprint, arXiv:2501.03377 [math.NA] (2025). MSC: 15A06 15A30 15A69 65F08 65F10 65N06 × Cite Format Result Cite Full Text: arXiv OA License
Tian, Hong-juan; Silem, A. Cauchy matrix approach to novel extended semidiscrete KP-type systems. (English. Russian original) Zbl 07967520 Theor. Math. Phys. 221, No. 2, 1929-1939 (2024); translation from Teor. Mat. Fiz. 221, No. 2, 385-396 (2024). MSC: 37K60 37K10 39A36 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Yaxin; Li, Xinyue; Zhao, Qiulan Binary Bargmann symmetry constraint and algebro-geometric solutions of a semidiscrete integrable hierarchy. (English. Russian original) Zbl 07967519 Theor. Math. Phys. 221, No. 2, 1901-1928 (2024); translation from Teor. Mat. Fiz. 221, No. 2, 353-384 (2024). MSC: 37K60 37K10 37K20 37K06 39A36 14H70 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, V. E. 3D consistency of negative flows. (English. Russian original) Zbl 07967515 Theor. Math. Phys. 221, No. 2, 1836-1851 (2024); translation from Teor. Mat. Fiz. 221, No. 2, 280-297 (2024). MSC: 37K60 37K10 39A36 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lingling; Fu, Yayun Unconditional error estimate of linearly-implicit and energy-preserving schemes for nonlocal wave equations. (English) Zbl 07967267 Comput. Math. Appl. 176, 492-509 (2024). MSC: 65M06 65M12 65T50 35L05 35R11 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Caojie; Zhang, Haixiang; Yang, Xuehua A new linearized ADI compact difference method on graded meshes for a nonlinear 2D and 3D PIDE with a WSK. (English) Zbl 07967259 Comput. Math. Appl. 176, 349-370 (2024). MSC: 65N12 65N30 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Fenglian; Wang, Yan; Xiao, Xufeng Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting. (English) Zbl 07967222 Comput. Math. Appl. 175, 416-432 (2024). MSC: 65M06 68W10 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Mariappan, Manikandan Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type. (English) Zbl 07966770 J. Math. Model. 12, No. 2, 355-369 (2024). MSC: 65L11 65L12 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Mariappan, Manikandan Computational treatment of a convection-diffusion type nonlinear system of singularly perturbed differential equations. (English) Zbl 07966763 J. Math. Model. 12, No. 2, 235-246 (2024). MSC: 65L11 65L12 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Aniley, Worku Tilahun; Duressa, Gemechis File A novel fitted numerical scheme for time-fractional singularly perturbed convection-diffusion problems with a delay in time via cubic \(B\)-spline approach. (English) Zbl 07966761 J. Math. Model. 12, No. 2, 215-231 (2024). MSC: 26A33 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Wondimu, Getu Mekonnen; Duressa, Gemechis File; Woldaregay, Mesfin Mekuria; Dinka, Tekle Gemechu A uniformly convergent computational method for singularly perturbed parabolic partial differential equation with integral boundary condition. (English) Zbl 07966758 J. Math. Model. 12, No. 1, 157-175 (2024). MSC: 65N06 65N12 65N15 65L11 × Cite Format Result Cite Review PDF Full Text: DOI
Abedian, Rooholah A fifth-order symmetrical weighted hybrid ENO-flux limiter scheme for traffic flow model on networks. (English) Zbl 07966754 J. Math. Model. 12, No. 1, 99-115 (2024). MSC: 35R11 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Mariappan, Manikandan A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems. (English) Zbl 07966750 J. Math. Model. 12, No. 1, 33-49 (2024). MSC: 65L11 65L12 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Saqib, Abdul Baseer; Loghmani, Ghasem Barid; Heydari, Mohammad Convergence analysis of compact finite difference method for the solution of anti-periodic boundary value problems. (English) Zbl 07966748 J. Math. Model. 12, No. 1, 1-15 (2024). MSC: 34A34 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Cross, Logan J.; Zhang, Xiangxiong On the monotonicity of \(Q^3\) spectral element method for Laplacian. (English) Zbl 07966583 Ann. Appl. Math. 40, No. 2, 161-190 (2024). MSC: 65N30 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Zaabouli, Z.; El Hakoume, A.; Afraites, L.; Laghrib, A. A novel coupled \(p(x)\) and fractional PDE denoising model with theoretical results. (English) Zbl 07966579 Int. J. Comput. Math. 101, No. 11, 1300-1325 (2024). MSC: 68W05 68W01 65K10 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Wenguang; Wang, Zhibo; Ou, Caixia A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation. (English) Zbl 07966577 Int. J. Comput. Math. 101, No. 11, 1255-1269 (2024). MSC: 65M06 65M12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Jie; Yue, Chengjun Three diffusion-wave models with fractional operators for image denoising. (English) Zbl 07966551 Ann. Math. Sci. Appl. 9, No. 2, 439-463 (2024). MSC: 68U10 35M13 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Dellar, Paul J. A magic two-relaxation-time lattice Boltzmann algorithm for magnetohydrodynamics. (English) Zbl 07966526 Discrete Contin. Dyn. Syst., Ser. S 17, No. 11, 3155-3173 (2024). MSC: 76W05 65M75 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lianfeng (David) Empirical study on option pricing under Markov regime switching economics. (English) Zbl 07966520 Ann. Appl. Math. 40, No. 1, 21-42 (2024). MSC: 91G20 91G60 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xinyue; Wang, Lei; Huang, Jiangxu; Yang, Xuguang Lattice Boltzmann method with diffusive scaling for thermal flows in porous media. (English) Zbl 07966482 Comput. Geosci. 28, No. 5, 791-807 (2024). MSC: 76S05 65M06 76M28 × Cite Format Result Cite Review PDF Full Text: DOI
Gui, Yan; Du, Rui; Wang, Cheng A third-order implicit-explicit Runge-Kutta method for Landau-Lifshitz equation with arbitrary damping parameters. (English) Zbl 07966456 Numer. Math., Theory Methods Appl. 17, No. 4, 1041-1073 (2024). MSC: 35K61 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Lele; Zhang, Hong; Qian, Xu; Song, Songhe Maximum-principle-preserving high-order conservative difference schemes for convection-dominated diffusion equations. (English) Zbl 07966449 Numer. Math., Theory Methods Appl. 17, No. 4, 855-881 (2024). MSC: 35L65 65M06 76M20 × Cite Format Result Cite Review PDF Full Text: DOI