Startsev, S. Ya Darboux integrability of hyperbolic partial differential equations: is it a property of integrals rather than equations? (English) Zbl 07974053 J. Phys. A, Math. Theor. 58, No. 2, Article ID 025206, 19 p. (2025). MSC: 37-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jiaxiang; Wang, Yushun Local energy-preserving scalar auxiliary variable approaches for general multi-symplectic Hamiltonian PDEs. (English) Zbl 07972908 J. Comput. Phys. 521, Part 2, Article ID 113573, 13 p. (2025). MSC: 65M06 65M12 35Q41 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Jha, Prashant K.; Diehl, Patrick; Lipton, Robert Nodal finite element approximation of peridynamics. (English) Zbl 07972870 Comput. Methods Appl. Mech. Eng. 434, Article ID 117519, 28 p. (2025). MSC: 34A34 34B10 74H55 74S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qazi, Rahim; Piranfar, Mohsen Rahimi; Khatibzadeh, Hadi On the convergence of solutions to an incomplete Cauchy problem governed by a quasi-convex function and a quasi-nonexpansive operator. (English) Zbl 07972494 J. Fixed Point Theory Appl. 27, No. 1, Paper No. 4, 21 p. (2025). MSC: 34G20 47J35 39A30 35B40 46N10 × Cite Format Result Cite Review PDF Full Text: DOI
Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio Numerical treatment of a two-parameter singularly perturbed elliptic problem with discontinuous convection and source terms. (English) Zbl 07971678 Differ. Equ. Dyn. Syst. 33, No. 1, 303-331 (2025). MSC: 35J25 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Wheeler, Campbell Quantum modularity for a closed hyperbolic 3-manifold. (English) Zbl 07971556 SIGMA, Symmetry Integrability Geom. Methods Appl. 21, Paper 004, 74 p. (2025). MSC: 57K31 57K16 57K14 57K10 × 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: 65M12 65M06 35Q99 74A50 65B05 × Cite Format Result Cite Review PDF Full Text: DOI
Serna-Reyes, Adán J.; Macías, Siegfried; Gallegos, Armando; Macías-Díaz, Jorge E. A convergent two-step method to solve a fractional extension of the Rosenau-Kawahara system. (English) Zbl 07968727 J. Comput. Appl. Math. 460, Article ID 116424, 17 p. (2025). MSC: 65M06 35Q53 35R11 65M12 × 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
Zhang, Xin; Zhang, Yiran; Jin, Qunzhi; Jin, Yuanfeng Two sixth-order, \( L_\infty\) convergent, and stable compact difference schemes for the generalized Rosenau-KdV-RLW equation. (English) Zbl 07968693 J. Comput. Appl. Math. 459, Article ID 116382, 21 p. (2025). MSC: 65Mxx 35Qxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xinru; He, Qiaolin An immersed interface neural network for elliptic interface problems. (English) Zbl 07968683 J. Comput. Appl. Math. 459, Article ID 116372, 17 p. (2025). MSC: 65N06 65N22 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Fedakar, Burcu; Amirali, Ilhame; Durmaz, Muhammet Enes; Amiraliyev, Gabil M. Numerical solutions for second-order neutral Volterra integro-differential equations: stability analysis and finite difference method. (English) Zbl 07968682 J. Comput. Appl. Math. 459, Article ID 116371, 10 p. (2025). MSC: 65R20 45J05 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Frasca-Caccia, Gianluca Finite difference schemes with non polynomial local conservation laws. (English) Zbl 07968652 J. Comput. Appl. Math. 458, Article ID 116330, 20 p. (2025). MSC: 65M06 35L65 35Q53 37M15 65P10 86A70 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hao; Zaky, Mahmoud A.; Zheng, Xiangcheng; Hendy, Ahmed S.; Qiu, Wenlin Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. (English) Zbl 07968261 Numer. Algorithms 98, No. 2, 677-718 (2025). MSC: 65-XX 35R11 45K05 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Ben-Artzi, M.; Eidelman, Y.; Fishelov, D. Numerical solution of the boundary value problems for the biharmonic equations via quasiseparable representations. (English) Zbl 07968259 Numer. Algorithms 98, No. 2, 625-649 (2025). MSC: 65N06 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Yuqun; Wang, JinRong Solvability and Hyers-Ulam stability of quaternion difference equations with two-sided coefficients. (English) Zbl 07967640 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 36, 19 p. (2025). MSC: 34-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
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
Ye, Fumei Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator. (English) Zbl 07965410 J. Difference Equ. Appl. 31, No. 1, 66-84 (2025). MSC: 39A28 39A27 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadharshini, A.; Jothimani, K.; Vijayakumar, V. Existence and uniqueness of the solution for the Hilfer fuzzy fractional integrodifferential equation via resolvent operators. (English) Zbl 07965228 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 34, 25 p. (2025). MSC: 26A33 34A08 34A12 34K37 39A26 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
George, Reny; Etemad, Sina; Avcı, İbrahim; Alshammari, Fahad Sameer A qualitative study for two discrete fractional delta difference BVPs with falling functions: application on the temperature control system. (English) Zbl 07965218 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 24, 32 p. (2025). MSC: 34D20 39A06 39A13 × 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: 65L12 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Haress, El Mehdi; Richard, Alexandre Long-time Hurst regularity of fractional stochastic differential equations and their ergodic means. (English) Zbl 07964597 J. Theor. Probab. 38, No. 1, Paper No. 24, 57 p. (2025). MSC: 60H10 60G22 37H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaggara, Hamza; Gahami, Abdelhamid Classification of 2-orthogonal polynomials with Brenke type generating functions. (English) Zbl 07962838 J. Approx. Theory 306, Article ID 106125, 23 p. (2025). MSC: 41-XX 42-XX 33C45 33C47 33D45 33D15 × 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
Sun, Cui-Fang; Cheng, Zhi Partitions of \(\mathbb{Z} m\) with identical representation functions. (English) Zbl 07962115 Discrete Appl. Math. 362, 1-10 (2025). MSC: 11-XX 39-XX × 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
Chen, Kai; Si, Yuanchao Ulam type stability for the second-order linear Hahn difference equations. (English) Zbl 07961495 Appl. Math. Lett. 160, Article ID 109355, 6 p. (2025). MSC: 39A70 39A13 39A30 × 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
Wang, Ting; Xu, Man; Li, Yanyun Positive solutions of discrete boundary value problem for a second-order nonlinear difference equation with singular \(\phi \)-Laplacian. (English) Zbl 07960338 J. Appl. Anal. Comput. 15, No. 2, 1020-1038 (2025). MSC: 34B18 35A01 35J93 39A27 × 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
Zhang, Qianhong; Jin, Fei; Zhang, Zhongni; Pan, Bairong Asymptotic feature of discrete second-order fuzzy difference equation with quadratic term. (English) Zbl 07960319 J. Appl. Anal. Comput. 15, No. 2, 640-656 (2025). MSC: 39A10 × 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
Lin, Dong-Sheng; Chang, Yong-Kui Pseudo \((\omega, c)\)-periodic solutions to Volterra difference equations in Banach spaces. (English) Zbl 07959249 Comput. Appl. Math. 44, No. 1, Paper No. 33, 23 p. (2025). MSC: 34K37 39A23 39A24 34G20 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Kartal, Senol A discrete fractional order Cournot duopoly game model with relative profit delegation: stability, bifurcation, chaos, 0-1 testing and control. (English) Zbl 07958821 J. Comput. Appl. Math. 457, Article ID 116284, 15 p. (2025). MSC: 37N40 34A08 34C23 39A28 26A33 39A33 91A50 × 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
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
Berman, Yosef; Forrest, Joshua; Grote, Matthew; Ovchinnikov, Alexey; Rueda, Sonia L. Symbolic-numeric algorithm for parameter estimation in discrete-time models with exp. (English) Zbl 07955770 J. Symb. Comput. 128, Article ID 102387, 35 p. (2025). MSC: 92B05 68W30 14Q20 39A60 13P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
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 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
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 \(\mathrm{L}1\) 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
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
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
Campbell, John M. On combinatorial and hypergeometric approaches toward second-order difference equations. (English) Zbl 07952116 Discrete Math. 348, No. 2, Article ID 114316, 5 p. (2025). MSC: 11A55 39A06 11Y65 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
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
Truong, Tri; Bohner, Martin; Girejko, Ewa; Malinowska, Agnieszka B.; Hoa, Ngo Van Granular fuzzy calculus on time scales and its applications to fuzzy dynamic equations. (English) Zbl 07950773 Inf. Sci. 690, Article ID 121547, 32 p. (2025). MSC: 26E50 26E70 34N05 39A26 × 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
Zhai, Xinya; Wang, JinRong Existence and Ulam’s stability results for the first-order Hahn difference systems. (English) Zbl 07950021 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 15, 27 p. (2025). MSC: 39A30 39A13 × 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
Barreira, Luís; Cunha, Matheus G. C.; Valls, Claudia Cocycles for equations with infinite delay and hyperbolicity. (English) Zbl 07947279 Nonlinear Anal., Real World Appl. 81, Article ID 104221, 16 p. (2025). MSC: 37Dxx 35Bxx 39Axx × Cite Format Result Cite Review PDF Full Text: DOI
Fiorot, Luisa; Gilblas, Riccardo; Tonolo, Alberto Periodic sequences, binomials modulo a prime power, and a math/music application. (English) Zbl 07938160 Adv. Appl. Math. 162, Article ID 102786, 31 p. (2025). Reviewer: Enzo Bonacci (Latina) MSC: 11B50 11B65 00A65 39A10 39A70 × Cite Format Result Cite Review PDF Full Text: DOI
Xue, Lianpeng; Zhang, Qifeng; Matus, P. P. Error estimate of the conservative difference scheme for the derivative nonlinear Schrödinger equation. (English) Zbl 07927827 Appl. Math. Lett. 159, Article ID 109283, 8 p. (2025). MSC: 35Q55 35Q41 65M06 65L06 65M12 65M15 37K10 × 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
Sadykov, Timur Graceful bases in solution spaces of differential and difference equations. (English) Zbl 1547.68870 J. Symb. Comput. 127, Article ID 102355, 13 p. (2025). MSC: 68W30 34A30 35B30 39A06 × Cite Format Result Cite Review PDF Full Text: DOI
Pardalos, Panos M. (ed.); Rassias, Themistocles M. (ed.) Mathematical analysis, optimization, approximation and applications (to appear). (English) Zbl 07912955 Series on Computers and Operations Research 12. Singapore: World Scientific (ISBN 978-981-12-9299-6). (2025). MSC: 65-06 35-06 39-06 41-06 46-06 49-06 91-06 00B25 × 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
Chakrabortty, Amartya; Dutta, Haradhan; Mahato, Hari Shankar Mathematical modelling and homogenization of thin fiber-reinforced hydrogels. arXiv:2501.12828 Preprint, arXiv:2501.12828 [math.AP] (2025). MSC: 35B27 35B40 35C20 74Q15 74S20 74A15 × Cite Format Result Cite Full Text: arXiv
Li, Nannan; Gao, Xing Itô formula for planarly branched rough paths. arXiv:2501.11886 Preprint, arXiv:2501.11886 [math.PR] (2025). MSC: 60L20 60L50 60H99 34K50 37H10 05C05 × Cite Format Result Cite Full Text: arXiv OA License
Sher, David; Silva, Luis; Vertman, Boris; Winklmeier, Monika Scattering theory for difference equations with operator coefficients. arXiv:2501.11194 Preprint, arXiv:2501.11194 [math.SP] (2025). MSC: 39Axx 47B39 × Cite Format Result Cite Full Text: arXiv
Han, Bin; Sim, Jiwoon Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains. arXiv:2501.10358 Preprint, arXiv:2501.10358 [math.NA] (2025). MSC: 65N06 65N12 35J25 × Cite Format Result Cite Full Text: arXiv
Casabán, M. -C.; Company, R.; Egorova, V. N.; Jódar, L. A random free-boundary diffusive logistic model: Analysis, computing and simulation. arXiv:2501.09200 Preprint, arXiv:2501.09200 [math.NA] (2025). MSC: 35R60 60H15 65M06 65M12 × Cite Format Result Cite Full Text: DOI arXiv
Finch, Steven Exercises in Iterational Asymptotics II. arXiv:2501.06065 Preprint, arXiv:2501.06065 [math.NT] (2025). MSC: 39A20 11B37 26A18 37E05 41A60 65D20 × Cite Format Result Cite Full Text: 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
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu. Chebyshev systems and Sturm oscillation theory for discrete polynomials. arXiv:2501.02358 Preprint, arXiv:2501.02358 [math.CA] (2025). MSC: 41A50 39A21 52A40 × Cite Format Result Cite Full Text: arXiv OA License
Biswas, Raju; Mandal, Rajib Solutions of systems of certain Fermat-type PDDEs. arXiv:2501.01386 Preprint, arXiv:2501.01386 [math.CV] (2025). MSC: 35M30 32W50 39A14 30D35 × Cite Format Result Cite Full Text: arXiv