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 07901834 J. Comput. Appl. Math. 454, Article ID 116204, 20 p. (2025). MSC: 65M60 65M06 65N30 65L06 33C45 35Q53 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Comput. Appl. Math. 454, Article ID 116204, 20 p. (2025; Zbl 07901834) 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 07901817 J. Comput. Appl. Math. 454, Article ID 116184, 28 p. (2025). MSC: 65M32 65M30 65M06 65N06 65Y05 35C08 35Q53 35R30 PDFBibTeX XMLCite \textit{A. Aliyari Boroujeni} et al., J. Comput. Appl. Math. 454, Article ID 116184, 28 p. (2025; Zbl 07901817) Full Text: DOI
Yousef, Soleiman A posteriori-based, local multilevel mesh refinement for the Darcy porous media flow problem. (English) Zbl 07901805 J. Comput. Appl. Math. 454, Article ID 116162, 10 p. (2025). MSC: 65M08 65M06 65N08 65H10 65N50 65M15 76S05 76M12 35Q35 PDFBibTeX XMLCite \textit{S. Yousef}, J. Comput. Appl. Math. 454, Article ID 116162, 10 p. (2025; Zbl 07901805) Full Text: DOI
Amirali, Ilhame; Fedakar, Burcu; Amiraliyev, Gabil M. Second-order numerical method for a neutral Volterra integro-differential equation. (English) Zbl 07900358 J. Comput. Appl. Math. 453, Article ID 116160, 8 p. (2025). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{I. Amirali} et al., J. Comput. Appl. Math. 453, Article ID 116160, 8 p. (2025; Zbl 07900358) 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 PDFBibTeX XMLCite \textit{S. Ham} et al., J. Comput. Appl. Math. 453, Article ID 116159, 16 p. (2025; Zbl 07900357) Full Text: DOI
Jiang, Xia; Li, Rui; Chen, Zhangxin A discontinuous Galerkin method for the Brinkman-Darcy-transport problem. (English) Zbl 07900355 J. Comput. Appl. Math. 453, Article ID 116155, 30 p. (2025). MSC: 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Jiang} et al., J. Comput. Appl. Math. 453, Article ID 116155, 30 p. (2025; Zbl 07900355) Full Text: DOI
Chaskalovic, Joël; Assous, Franck Enhancing interpolation and approximation error estimates using a novel Taylor-like formula. (English) Zbl 07900354 J. Comput. Appl. Math. 453, Article ID 116153, 11 p. (2025). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M06 65N06 65D05 65M15 41A58 PDFBibTeX XMLCite \textit{J. Chaskalovic} and \textit{F. Assous}, J. Comput. Appl. Math. 453, Article ID 116153, 11 p. (2025; Zbl 07900354) Full Text: DOI arXiv
Hao, Liyao; Tian, Wenyi Analysis of a WSGD scheme for backward fractional Feynman-Kac equation with nonsmooth data. (English) Zbl 07914908 Adv. Comput. Math. 50, No. 4, Paper No. 87, 26 p. (2024). MSC: 65M06 65M15 35R11 35R05 PDFBibTeX XMLCite \textit{L. Hao} and \textit{W. Tian}, Adv. Comput. Math. 50, No. 4, Paper No. 87, 26 p. (2024; Zbl 07914908) Full Text: DOI arXiv
Roul, Pradip; Rohil, Vikas A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation. (English) Zbl 07914746 J. Math. Chem. 62, No. 8, 2039-2055 (2024). MSC: 65L10 65L60 34B16 PDFBibTeX XMLCite \textit{P. Roul} and \textit{V. Rohil}, J. Math. Chem. 62, No. 8, 2039--2055 (2024; Zbl 07914746) Full Text: DOI
Kumari, Parvin; Kumar, Devendra; Vigo-Aguiar, Jesus A parameter-uniform hybrid scheme designed for multi-point boundary value problems that are perturbed. (English) Zbl 07914744 J. Math. Chem. 62, No. 8, 1982-2006 (2024). MSC: 34B05 34B10 35B08 65L11 65L12 65L70 PDFBibTeX XMLCite \textit{P. Kumari} et al., J. Math. Chem. 62, No. 8, 1982--2006 (2024; Zbl 07914744) Full Text: DOI
Rao, S. Chandra Sekhara; Srivastava, Varsha Analysis of an almost second-order parameter-robust numerical technique for a weakly coupled system of singularly perturbed convection-diffusion equations. (English) Zbl 07914738 J. Math. Chem. 62, No. 8, 1834-1859 (2024). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{S. C. S. Rao} and \textit{V. Srivastava}, J. Math. Chem. 62, No. 8, 1834--1859 (2024; Zbl 07914738) Full Text: DOI
Yang, Junxiang; Kim, Junseok Unconditionally maximum principle-preserving linear method for a mass-conserved Allen-Cahn model with local Lagrange multiplier. (English) Zbl 07912603 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108327, 16 p. (2024). MSC: 65N06 65M06 76T06 76M20 35R09 35A01 35A02 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108327, 16 p. (2024; Zbl 07912603) Full Text: DOI
Singh, Anshima; Kumar, Sunil Higher order numerical approximations for non-linear time-fractional reaction-diffusion equations exhibiting weak initial singularity. (English) Zbl 07912598 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108317, 26 p. (2024). MSC: 65M60 65M06 65N30 65D07 65M12 65M15 35A21 26A33 35R11 PDFBibTeX XMLCite \textit{A. Singh} and \textit{S. Kumar}, Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108317, 26 p. (2024; Zbl 07912598) Full Text: DOI
Tan, Tan; Liu, Hongliang; Bu, Weiping L1-FEM discretizations for two-dimensional multiterm fractional delay diffusion equations. (English) Zbl 07912572 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108285, 16 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35C05 35B65 35A21 33E12 35R07 26A33 35R11 PDFBibTeX XMLCite \textit{T. Tan} et al., Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108285, 16 p. (2024; Zbl 07912572) Full Text: DOI
Ou, Caixia; Cen, Dakang; Vong, Seakweng Variable-step \(L1\) method combined with time two-grid algorithm for multi-singularity problems arising from two-dimensional nonlinear delay fractional equations. (English) Zbl 07912564 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108270, 18 p. (2024). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{C. Ou} et al., Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108270, 18 p. (2024; Zbl 07912564) Full Text: DOI
Gunes, Baransel; Cakir, Musa A numerical comparative study for the singularly perturbed nonlinear Volterra-Fredholm integro-differential equationson layer-adapted meshes. (English) Zbl 07911212 Miskolc Math. Notes 25, No. 1, 225-240 (2024). MSC: 65L05 65L11 65L12 65L20 65R20 PDFBibTeX XMLCite \textit{B. Gunes} and \textit{M. Cakir}, Miskolc Math. Notes 25, No. 1, 225--240 (2024; Zbl 07911212) Full Text: DOI
Wang, Jiawei; Jiang, Xiaoxuan; Yang, Xuehua; Zhang, Haixiang A new robust compact difference scheme on graded meshes for the time-fractional nonlinear Kuramoto-Sivashinsky equation. (English) Zbl 07910928 Comput. Appl. Math. 43, No. 6, Paper No. 381, 18 p. (2024). MSC: 45K05 65M06 PDFBibTeX XMLCite \textit{J. Wang} et al., Comput. Appl. Math. 43, No. 6, Paper No. 381, 18 p. (2024; Zbl 07910928) Full Text: DOI
Zahran, Yousef Hashem; Abdalla, Amr H. Central random choice methods for hyperbolic conservation laws. (English) Zbl 07909922 Ric. Mat. 73, No. 4, 2091-2130 (2024). MSC: 65M06 35L65 76N15 76M20 PDFBibTeX XMLCite \textit{Y. H. Zahran} and \textit{A. H. Abdalla}, Ric. Mat. 73, No. 4, 2091--2130 (2024; Zbl 07909922) Full Text: DOI OA License
Shi, Dongyang; Qi, Zhenqi Linearized decoupled mass and energy conservation CN Galerkin FEM for the coupled nonlinear Schrödinger system. (English) Zbl 07909824 J. Sci. Comput. 100, No. 3, Paper No. 76, 35 p. (2024). MSC: 65M60 65M06 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Qi}, J. Sci. Comput. 100, No. 3, Paper No. 76, 35 p. (2024; Zbl 07909824) Full Text: DOI
Jiang, Yan; Wang, Siyang Upwind summation-by-parts finite differences: error estimates and WENO methodology. (English) Zbl 07909823 J. Sci. Comput. 100, No. 3, Paper No. 75, 26 p. (2024). MSC: 65M06 65M12 76M20 35L65 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{S. Wang}, J. Sci. Comput. 100, No. 3, Paper No. 75, 26 p. (2024; Zbl 07909823) Full Text: DOI arXiv OA License
Wang, Zihao; Liao, Fei; Ye, Zhengyin On numerical integration and conservation of cell-centered finite difference method. (English) Zbl 07909821 J. Sci. Comput. 100, No. 3, Paper No. 73, 29 p. (2024). MSC: 65M06 65N06 76N15 76M20 35Q30 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Sci. Comput. 100, No. 3, Paper No. 73, 29 p. (2024; Zbl 07909821) Full Text: DOI
Ramezani, M.; Mokhtari, R.; Yan, Y. Correction of a high-order numerical method for approximating time-fractional wave equation. (English) Zbl 07909819 J. Sci. Comput. 100, No. 3, Paper No. 71, 20 p. (2024). MSC: 65M06 65N06 65M12 65M15 44A10 26A33 35R11 PDFBibTeX XMLCite \textit{M. Ramezani} et al., J. Sci. Comput. 100, No. 3, Paper No. 71, 20 p. (2024; Zbl 07909819) Full Text: DOI
Li, Liang; Wang, Zhenming; Zhu, Jun A new finite difference well-balanced mapped unequal-sized WENO scheme for solving shallow water equations. (English) Zbl 07908870 Adv. Appl. Math. Mech. 16, No. 5, 1176-1196 (2024). MSC: 65N06 65M06 65N22 PDFBibTeX XMLCite \textit{L. Li} et al., Adv. Appl. Math. Mech. 16, No. 5, 1176--1196 (2024; Zbl 07908870) Full Text: DOI
Zhang, Wensheng; Joardar, Atish Kumar; Wu, Fei Stability analysis for modelling 3D poroelastic wave propagation by high-order staggered-grid schemes. (English) Zbl 07908868 Adv. Appl. Math. Mech. 16, No. 5, 1121-1151 (2024). MSC: 35L05 65M06 65M12 74J05 PDFBibTeX XMLCite \textit{W. Zhang} et al., Adv. Appl. Math. Mech. 16, No. 5, 1121--1151 (2024; Zbl 07908868) Full Text: DOI
Hou, Dianming; Ju, Lili; Qiao, Zhonghua A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility. (English) Zbl 07908864 Adv. Appl. Math. Mech. 16, No. 5, 1009-1038 (2024). MSC: 65M06 65M15 41A05 41A25 PDFBibTeX XMLCite \textit{D. Hou} et al., Adv. Appl. Math. Mech. 16, No. 5, 1009--1038 (2024; Zbl 07908864) Full Text: DOI arXiv
Sah, Kishun Kumar; Gowrisankar, S. Richardson extrapolation technique on a modified graded mesh for singularly perturbed parabolic convection-diffusion problems. (English) Zbl 07908526 Iran. J. Numer. Anal. Optim. 14, No. 1, 219-264 (2024). MSC: 65M06 65M12 65M15 65M22 PDFBibTeX XMLCite \textit{K. K. Sah} and \textit{S. Gowrisankar}, Iran. J. Numer. Anal. Optim. 14, No. 1, 219--264 (2024; Zbl 07908526) Full Text: DOI OA License
Kumar, Ankesh; Gowrisankar, S. Efficient numerical methods on modified graded mesh for singularly perturbed parabolic problem with time delay. (English) Zbl 07908521 Iran. J. Numer. Anal. Optim. 14, No. 1, 77-106 (2024). MSC: 65M06 65M15 65M22 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Gowrisankar}, Iran. J. Numer. Anal. Optim. 14, No. 1, 77--106 (2024; Zbl 07908521) Full Text: DOI OA License
Qiu, Wenlin; Li, Yiqun; Zheng, Xiangcheng Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. (English) Zbl 07908400 Calcolo 61, No. 3, Paper No. 50, 29 p. (2024). MSC: 65R20 74S20 74K10 65D32 PDFBibTeX XMLCite \textit{W. Qiu} et al., Calcolo 61, No. 3, Paper No. 50, 29 p. (2024; Zbl 07908400) Full Text: DOI
Khanh, Tra Quoc; Khieu, Tran Thi Reconstructing the historical distribution of diffusion equation with poly-fractional operator in multi-dimensional space. (English) Zbl 07908355 Commun. Pure Appl. Anal. 23, No. 8, 1064-1086 (2024). MSC: 65N20 65N06 65T50 65N15 35R25 60G50 60G51 60J60 60J22 35B65 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{T. Q. Khanh} and \textit{T. T. Khieu}, Commun. Pure Appl. Anal. 23, No. 8, 1064--1086 (2024; Zbl 07908355) Full Text: DOI
Azhdari, Ebrahim; Emami, Aram Drug release from a two-layer stent coating considering the viscoelastic property of the arterial wall: a mathematical and numerical study. (English) Zbl 07908223 Iran. J. Numer. Anal. Optim. 14, No. 2, 475-499 (2024). MSC: 65M06 PDFBibTeX XMLCite \textit{E. Azhdari} and \textit{A. Emami}, Iran. J. Numer. Anal. Optim. 14, No. 2, 475--499 (2024; Zbl 07908223) Full Text: DOI OA License
Shallu, Shallu; Kukreja, Vijay Kumar Highly accurate collocation methodology for solving the generalized Burgers-Fisher’s equation. (English) Zbl 07908209 Iran. J. Numer. Anal. Optim. 14, No. 3, 736-761 (2024). MSC: 35G31 65M70 PDFBibTeX XMLCite \textit{S. Shallu} and \textit{V. K. Kukreja}, Iran. J. Numer. Anal. Optim. 14, No. 3, 736--761 (2024; Zbl 07908209) Full Text: DOI OA License
Merga, Feyisa Edosa; Duressa, Gemechis File Nonpolynomial B-spline collocation method for solving singularly perturbed quasilinear Sobolev equation. (English) Zbl 07908205 Iran. J. Numer. Anal. Optim. 14, No. 3, 638-661 (2024). MSC: 65M06 65M12 65M22 65M50 PDFBibTeX XMLCite \textit{F. E. Merga} and \textit{G. F. Duressa}, Iran. J. Numer. Anal. Optim. 14, No. 3, 638--661 (2024; Zbl 07908205) Full Text: DOI OA License
Gai, Chunyi; Ward, Michael J. The nucleation-annihilation dynamics of hotspot patterns for a reaction-diffusion system of urban crime with police deployment. (English) Zbl 07906732 SIAM J. Appl. Dyn. Syst. 23, No. 3, 2018-2060 (2024). MSC: 35Q91 91D10 35B05 35B10 35B32 35B36 35B40 35C20 65M06 65N06 65F15 65D32 91-08 PDFBibTeX XMLCite \textit{C. Gai} and \textit{M. J. Ward}, SIAM J. Appl. Dyn. Syst. 23, No. 3, 2018--2060 (2024; Zbl 07906732) Full Text: DOI
Dong, Sitong; Zhang, Xin; Jin, Yuanfeng A second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation. (English) Zbl 07906581 Electron. J. Differ. Equ. 2024, Paper No. 38, 12 p. (2024). MSC: 65M06 35Q53 65M12 PDFBibTeX XMLCite \textit{S. Dong} et al., Electron. J. Differ. Equ. 2024, Paper No. 38, 12 p. (2024; Zbl 07906581) Full Text: DOI
Chentouf, Boumediène; Guesmia, Aissa; Cortés, Mauricio Sepúlveda; Asem, Rodrigo Véjar Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis. (English) Zbl 07906412 Appl. Math. Optim. 90, No. 2, Paper No. 32, 44 p. (2024). MSC: 35Q53 35B40 35G31 35Q35 65M06 PDFBibTeX XMLCite \textit{B. Chentouf} et al., Appl. Math. Optim. 90, No. 2, Paper No. 32, 44 p. (2024; Zbl 07906412) Full Text: DOI arXiv
Bestard, Mickael; Franck, Emmanuel; Navoret, Laurent; Privat, Yannick Optimal scenario for road evacuation in an urban environment. (English) Zbl 07905872 Z. Angew. Math. Phys. 75, No. 4, Paper No. 146, 33 p. (2024). MSC: 35Q49 76A30 49K15 49K30 49J30 49M41 65M08 65M06 65L06 65K05 90C05 47J26 41A60 35B20 PDFBibTeX XMLCite \textit{M. Bestard} et al., Z. Angew. Math. Phys. 75, No. 4, Paper No. 146, 33 p. (2024; Zbl 07905872) Full Text: DOI arXiv
Hussain, Safdar; Haq, Fazal; Shah, Abdullah; Abduvalieva, Dilsora; Shokri, Ali Comparison of approximate analytical and numerical solutions of the Allen Cahn equation. (English) Zbl 07905674 Int. J. Differ. Equ. 2024, Article ID 8835138, 9 p. (2024). MSC: 65M06 65M12 65M15 65M99 35C07 35K55 35A20 80A22 PDFBibTeX XMLCite \textit{S. Hussain} et al., Int. J. Differ. Equ. 2024, Article ID 8835138, 9 p. (2024; Zbl 07905674) Full Text: DOI OA License
Bouaam, Hind; Temghart, Said Ait; Allalou, Chakir; Melliani, Said Existence of solutions to elliptic equations on compact Riemannian manifolds. (English) Zbl 07905421 Bol. Soc. Parana. Mat. (3) 42, Paper No. 142, 11 p. (2024). MSC: 35D30 35R01 65L12 PDFBibTeX XMLCite \textit{H. Bouaam} et al., Bol. Soc. Parana. Mat. (3) 42, Paper No. 142, 11 p. (2024; Zbl 07905421) Full Text: DOI
He, Xuedong; Tan, Xiaolu; Wu, Ruocheng Convergence of simulated annealing using kinetic Langevin dynamics. (English) Zbl 07904039 Electron. J. Probab. 29, Paper No. 77, 31 p. (2024). MSC: 35Q84 35Q82 82C31 65K10 90C59 65C30 60H15 65M12 65M06 35B40 PDFBibTeX XMLCite \textit{X. He} et al., Electron. J. Probab. 29, Paper No. 77, 31 p. (2024; Zbl 07904039) Full Text: DOI arXiv Link OA License
Qing, Lanyu; Li, Xiaolin Meshless analysis of fractional diffusion-wave equations by generalized finite difference method. (English) Zbl 07903720 Appl. Math. Lett. 157, Article ID 109204, 6 p. (2024). MSC: 65M06 65N06 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{L. Qing} and \textit{X. Li}, Appl. Math. Lett. 157, Article ID 109204, 6 p. (2024; Zbl 07903720) Full Text: DOI
Chen, Xinyan; Zhang, Xinxin; Wei, Leilei; Huang, Langyang A fast explicit time-splitting spectral scheme for the viscous Cahn-Hilliard equation with nonlocal diffusion operator. (English) Zbl 07903695 Appl. Math. Lett. 157, Article ID 109169, 8 p. (2024). MSC: 65M70 65M06 65N35 65L06 65M12 35R09 35Q56 PDFBibTeX XMLCite \textit{X. Chen} et al., Appl. Math. Lett. 157, Article ID 109169, 8 p. (2024; Zbl 07903695) Full Text: DOI
Cai, Jiaxiang Efficient invariant-preserving scheme for the \(N\)-coupled nonlinear Schrödinger equations. (English) Zbl 07903692 Appl. Math. Lett. 157, Article ID 109166, 6 p. (2024). MSC: 65M06 65H10 65T50 35C08 35R09 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. Cai}, Appl. Math. Lett. 157, Article ID 109166, 6 p. (2024; Zbl 07903692) Full Text: DOI
Yang, Xuehua; Zhang, Zhimin Superconvergence analysis of a robust orthogonal Gauss collocation method for 2D fourth-order subdiffusion equations. (English) Zbl 07902988 J. Sci. Comput. 100, No. 3, Paper No. 62, 18 p. (2024). MSC: 65M70 65M06 65N35 65D07 65M12 65M15 35A21 35K61 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Z. Zhang}, J. Sci. Comput. 100, No. 3, Paper No. 62, 18 p. (2024; Zbl 07902988) Full Text: DOI
Xu, Yang; Zhou, Zhenguo; Zhao, Jingjun Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. (English) Zbl 07902981 J. Sci. Comput. 100, No. 2, Paper No. 55, 43 p. (2024). MSC: 65M60 65M06 65N30 65D32 65M15 35R09 45K05 35D30 47H10 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Sci. Comput. 100, No. 2, Paper No. 55, 43 p. (2024; Zbl 07902981) Full Text: DOI
Anandan, Megala; Boutin, Benjamin; Crouseilles, Nicolas High order asymptotic preserving scheme for diffusive scaled linear kinetic equations with general initial conditions. (English) Zbl 07902501 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1107-1135 (2024). MSC: 82C40 82C70 85A25 35B40 65M06 65L04 65L06 PDFBibTeX XMLCite \textit{M. Anandan} et al., ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1107--1135 (2024; Zbl 07902501) Full Text: DOI OA License
Cano, Begoña; Moreta, María Jesús Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. (English) Zbl 07902499 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1053-1085 (2024). MSC: 65M20 65M06 65L04 65L06 65M60 65N06 65N30 65F10 65M12 35B50 PDFBibTeX XMLCite \textit{B. Cano} and \textit{M. J. Moreta}, ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1053--1085 (2024; Zbl 07902499) Full Text: DOI OA License
Wang, Yang; Yi, Huaming; Fan, Xiaohong; Li, Guanrong Unconditionally optimal error estimates of linearized Crank-Nicolson virtual element methods for quasilinear parabolic problems on general polygonal meshes. (English) Zbl 07902494 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 881-926 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35K59 PDFBibTeX XMLCite \textit{Y. Wang} et al., ESAIM, Math. Model. Numer. Anal. 58, No. 3, 881--926 (2024; Zbl 07902494) Full Text: DOI OA License
Si, Zhiyong; Li, Ziyi; Wei, Leilei A rotational velocity-correction projection method for the micropolar Navier-Stokes equations. (English) Zbl 07901908 Appl. Numer. Math. 205, 267-280 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76U05 76M10 35Q30 PDFBibTeX XMLCite \textit{Z. Si} et al., Appl. Numer. Math. 205, 267--280 (2024; Zbl 07901908) Full Text: DOI
Song, Junpeng; Rui, Hongxing A reduced-order two-grid method based on POD technique for the semilinear parabolic equation. (English) Zbl 07901906 Appl. Numer. Math. 205, 240-254 (2024). MSC: 65M55 65N50 65M60 65M06 65N30 65M99 65M12 65M15 35K58 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Appl. Numer. Math. 205, 240--254 (2024; Zbl 07901906) Full Text: DOI
Anh Ha Le; Toan T. Huynh; Quan M. Nguyen A finite difference scheme for (2+1)D cubic-quintic nonlinear Schrödinger equations with nonlinear damping. (English) Zbl 07901905 Appl. Numer. Math. 205, 215-239 (2024). MSC: 78M20 35Q55 78A40 PDFBibTeX XMLCite \textit{Anh Ha Le} et al., Appl. Numer. Math. 205, 215--239 (2024; Zbl 07901905) Full Text: DOI arXiv
García, A.; Negreanu, M.; Ureña, F.; Vargas, A. M. Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes. (English) Zbl 07901903 Appl. Numer. Math. 205, 195-205 (2024). MSC: 76Dxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{A. García} et al., Appl. Numer. Math. 205, 195--205 (2024; Zbl 07901903) Full Text: DOI
Hohenegger, Matthias; Settanni, Giuseppina; Weinmüller, Ewa B.; Wolde, Mered Numerical treatment of singular ODEs using finite difference and collocation methods. (English) Zbl 07901902 Appl. Numer. Math. 205, 184-194 (2024). MSC: 65L10 34B15 65L60 PDFBibTeX XMLCite \textit{M. Hohenegger} et al., Appl. Numer. Math. 205, 184--194 (2024; Zbl 07901902) Full Text: DOI
Jesus, Carla; Sousa, Ercília High order numerical method for a subdiffusion problem. (English) Zbl 07901901 Appl. Numer. Math. 205, 169-183 (2024). MSC: 65M06 65D07 26A33 35R11 65M12 65M15 41A25 35R09 45K05 35Q84 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, Appl. Numer. Math. 205, 169--183 (2024; Zbl 07901901) Full Text: DOI
Liu, Shiqin; Yu, Haijun Energetic spectral-element time marching methods for phase-field nonlinear gradient systems. (English) Zbl 07901895 Appl. Numer. Math. 205, 38-59 (2024). MSC: 65M70 65M60 65M06 65L06 65N35 65N30 65B05 65M12 35A15 65Y05 35Q56 PDFBibTeX XMLCite \textit{S. Liu} and \textit{H. Yu}, Appl. Numer. Math. 205, 38--59 (2024; Zbl 07901895) Full Text: DOI arXiv
Usman, Muhammad; Hamid, Muhammad; Lu, Dianchen; Zhang, Zhengdi Innovative coupling of s-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889 Appl. Numer. Math. 204, 329-351 (2024). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 33C45 35Q53 PDFBibTeX XMLCite \textit{M. Usman} et al., Appl. Numer. Math. 204, 329--351 (2024; Zbl 07901889) Full Text: DOI
He, Yuyu; Chen, Hongtao; Chen, Bolin Physical invariants-preserving compact difference schemes for the coupled nonlinear Schrödinger-KdV equations. (English) Zbl 07901879 Appl. Numer. Math. 204, 162-175 (2024). MSC: 65M06 35Q53 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{Y. He} et al., Appl. Numer. Math. 204, 162--175 (2024; Zbl 07901879) Full Text: DOI
Liu, Mengmeng; Guo, Tao; Zaky, Mahmoud A.; Hendy, Ahmed S. An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory. (English) Zbl 07901876 Appl. Numer. Math. 204, 111-129 (2024). MSC: 65M06 65N06 65R20 35R09 45K05 80A19 PDFBibTeX XMLCite \textit{M. Liu} et al., Appl. Numer. Math. 204, 111--129 (2024; Zbl 07901876) Full Text: DOI
Chen, Chengyu; Lin, Xue-Lei A fast solvable operator-splitting scheme for time-dependent advection diffusion equation. (English) Zbl 07901872 Appl. Numer. Math. 204, 48-59 (2024). MSC: 65M06 65N06 65H10 65F05 65T50 65M12 65N12 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X.-L. Lin}, Appl. Numer. Math. 204, 48--59 (2024; Zbl 07901872) Full Text: DOI
Mulet, Pep; Ruiz-Álvarez, Juan; Shu, Chi-Wang; Yáñez, Dionisio F. A non-separable progressive multivariate WENO-\(2r\) point value. (English) Zbl 07901871 Appl. Numer. Math. 204, 26-47 (2024). MSC: 65N06 65D05 41A05 41A10 PDFBibTeX XMLCite \textit{P. Mulet} et al., Appl. Numer. Math. 204, 26--47 (2024; Zbl 07901871) Full Text: DOI arXiv
Liu, Xuewei; Yang, Zhanwen; Ma, Qiang; Ding, Xiaohua A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation. (English) Zbl 07901870 Appl. Numer. Math. 204, 1-25 (2024). MSC: 65M60 65M06 65N30 65P10 65M12 65M15 35Q53 35R60 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Numer. Math. 204, 1--25 (2024; Zbl 07901870) Full Text: DOI
Liu, Hongyu; Liu, Keji On forward and inverse problems for a DCIS model with free boundaries in mathematical biology. (English) Zbl 07901607 Inverse Probl. Imaging 18, No. 5, 1223-1242 (2024). MSC: 35R30 35R35 35Q92 65N21 PDFBibTeX XMLCite \textit{H. Liu} and \textit{K. Liu}, Inverse Probl. Imaging 18, No. 5, 1223--1242 (2024; Zbl 07901607) Full Text: DOI
Cai, Wentao; Zhang, Mingyan Existence of smooth solutions to the 3D Navier-Stokes equations based on numerical solutions by the Crank-Nicolson finite element method. (English) Zbl 07901428 Calcolo 61, No. 3, Paper No. 36, 22 p. (2024). MSC: 35Q30 76D05 35D35 35B65 35A01 35A02 65M60 65M06 65N30 65M15 78M10 76M20 PDFBibTeX XMLCite \textit{W. Cai} and \textit{M. Zhang}, Calcolo 61, No. 3, Paper No. 36, 22 p. (2024; Zbl 07901428) Full Text: DOI
Fan, Chen; Ali, Muhammad Aamir; Zhang, Zhiyue Decoupling numerical method based on deep neural network for nonlinear degenerate interface problems. (English) Zbl 07901320 Comput. Phys. Commun. 303, Article ID 109275, 14 p. (2024). MSC: 65N30 65N06 68T07 65N12 PDFBibTeX XMLCite \textit{C. Fan} et al., Comput. Phys. Commun. 303, Article ID 109275, 14 p. (2024; Zbl 07901320) Full Text: DOI arXiv
Guo, Jixiao; Chen, Yanping; Liang, Qin The mass- and energy-conserving relaxation virtual element method for the nonlinear Schrödinger equation. (English) Zbl 07901133 Appl. Math. Lett. 158, Article ID 109251, 7 p. (2024). MSC: 65M60 65M06 65N30 47H10 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. Guo} et al., Appl. Math. Lett. 158, Article ID 109251, 7 p. (2024; Zbl 07901133) Full Text: DOI
Du, Zirui; Hou, Tianliang A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen-Cahn equation. (English) Zbl 07901132 Appl. Math. Lett. 158, Article ID 109250, 6 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B50 35Q35 PDFBibTeX XMLCite \textit{Z. Du} and \textit{T. Hou}, Appl. Math. Lett. 158, Article ID 109250, 6 p. (2024; Zbl 07901132) Full Text: DOI
Shi, Yang; Yang, Xuehua; Zhang, Zhimin Construction of a new time-space two-grid method and its solution for the generalized Burgers’ equation. (English) Zbl 07901126 Appl. Math. Lett. 158, Article ID 109244, 7 p. (2024). MSC: 65M55 65N55 65M06 65N06 65M50 65N50 65M12 35Q53 PDFBibTeX XMLCite \textit{Y. Shi} et al., Appl. Math. Lett. 158, Article ID 109244, 7 p. (2024; Zbl 07901126) Full Text: DOI
Qiao, Leijie; Yan, Yubin Tempered nonlocal integrodifferential equations with nonsmooth solution data. (English) Zbl 07901103 Appl. Math. Lett. 158, Article ID 109213, 7 p. (2024). MSC: 65-XX 35R11 65M12 65M70 65M15 PDFBibTeX XMLCite \textit{L. Qiao} and \textit{Y. Yan}, Appl. Math. Lett. 158, Article ID 109213, 7 p. (2024; Zbl 07901103) Full Text: DOI
Zhou, Zhongguo; Zhang, Sihan; Li, Wanshan The splitting characteristic finite difference domain decomposition scheme for solving time-fractional MIM nonlinear advection-diffusion equations. (English) Zbl 07900967 J. Sci. Comput. 100, No. 2, Paper No. 49, 46 p. (2024). MSC: 65M06 65N06 65M25 65N55 65D05 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Zhou} et al., J. Sci. Comput. 100, No. 2, Paper No. 49, 46 p. (2024; Zbl 07900967) Full Text: DOI
Meng, Xiaoqing; Cheng, Aijie; Liu, Zhengguang The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation. (English) Zbl 07900580 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108169, 19 p. (2024). MSC: 65M06 35Q35 65M12 PDFBibTeX XMLCite \textit{X. Meng} et al., Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108169, 19 p. (2024; Zbl 07900580) Full Text: DOI arXiv
Wang, Zhibo; Xiao, Mingcong; Mo, Yan Time two-grid fitted scheme for the nonlinear time fractional Schrödinger equation with nonsmooth solutions. (English) Zbl 07900543 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108119, 17 p. (2024). MSC: 65M06 35Q55 35R11 65M12 PDFBibTeX XMLCite \textit{Z. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108119, 17 p. (2024; Zbl 07900543) Full Text: DOI
Cubillos, Pablo; López-Gómez, Julián; Tellini, Andrea High multiplicity of positive solutions in a superlinear problem of Moore-Nehari type. (English) Zbl 07900535 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108118, 27 p. (2024). MSC: 34B08 65N06 65P30 PDFBibTeX XMLCite \textit{P. Cubillos} et al., Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108118, 27 p. (2024; Zbl 07900535) Full Text: DOI arXiv
Kachakhidze, Nikoloz; Papukashvili, Archil; Papukashvili, Giorgi; Peradze, Jemal; Sharikadze, Meri On the Test Results of a Method of Solution of the Nonlinear Integro-Differential Equation of String Oscillation. (English) Zbl 07900236 Bull. TICMI 28, No. 1, 51-56 (2024). MSC: 65-XX 35L20 35L72 65H10 65M60 65N06 74G15 PDFBibTeX XMLCite \textit{N. Kachakhidze} et al., Bull. TICMI 28, No. 1, 51--56 (2024; Zbl 07900236) Full Text: Link
Timsina, Ramesh Chandra A comparison of finite difference schemes to finite volume scheme for axially symmetric 2D heat equation. (English) Zbl 07900193 Nepali Math. Sci. Rep. 41, No. 1, 54-67 (2024). MSC: 35K05 58J35 PDFBibTeX XMLCite \textit{R. C. Timsina}, Nepali Math. Sci. Rep. 41, No. 1, 54--67 (2024; Zbl 07900193) Full Text: DOI
Weng, S. L.; Wang, Z. B. A high-order compact exponential scheme on graded meshes for the time fractional integro-differential convection-diffusion equation. (English) Zbl 07900177 Southeast Asian Bull. Math. 48, No. 3, 431-444 (2024). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{S. L. Weng} and \textit{Z. B. Wang}, Southeast Asian Bull. Math. 48, No. 3, 431--444 (2024; Zbl 07900177) Full Text: Link
Quintana-Murillo, Joaquín; Yuste, Santos Bravo An adaptive difference method for variable-order diffusion equations. (English) Zbl 07899989 Mediterr. J. Math. 21, No. 5, Paper No. 145, 19 p. (2024). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{J. Quintana-Murillo} and \textit{S. B. Yuste}, Mediterr. J. Math. 21, No. 5, Paper No. 145, 19 p. (2024; Zbl 07899989) Full Text: DOI
Keram, Aytura; Huang, Pengzhan Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 07899985 ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202400025, 17 p. (2024). MSC: 35Q35 35Q60 76W05 76D05 76T20 76U05 78A30 82D80 35D30 65M60 65M06 65N30 65B05 76M20 76M10 PDFBibTeX XMLCite \textit{A. Keram} and \textit{P. Huang}, ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202400025, 17 p. (2024; Zbl 07899985) Full Text: DOI
Kumar, Chandan; Srilatha, Pudhari; Karthik, Kalachar; Somashekar, Channaiah; Nagaraja, Kallur Venkat; Varun Kumar, Ravikumar Shashikala; Shah, Nehad Ali A physics-informed machine learning prediction for thermal analysis in a convective-radiative concave fin with periodic boundary conditions. (English) Zbl 07899975 ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202300712, 22 p. (2024). MSC: 35Q79 80A19 80A21 76R10 68T07 68Q32 35R02 65M06 65N06 PDFBibTeX XMLCite \textit{C. Kumar} et al., ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202300712, 22 p. (2024; Zbl 07899975) Full Text: DOI
Wang, Shuheng; Li, Yuan Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations. (English) Zbl 07899966 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108264, 17 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 80A19 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{S. Wang} and \textit{Y. Li}, Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108264, 17 p. (2024; Zbl 07899966) Full Text: DOI
Jumana, Sadia Anjum; Murtaza, M. G.; Tzirtzilakis, E. E.; Ferdows, M. Biomagnetic flow with magnetic particles over a continuously moving sheet affected by a magnetic dipole. (English) Zbl 07899888 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108132, 22 p. (2024). MSC: 76Wxx 76Mxx 76Rxx PDFBibTeX XMLCite \textit{S. A. Jumana} et al., Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108132, 22 p. (2024; Zbl 07899888) Full Text: DOI
Baker, Katherine; Banjai, Lehel; Ptashnyk, Mariya Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping. (English) Zbl 07899595 Math. Comput. 93, No. 350, 2711-2743 (2024). MSC: 65-XX 35L77 65M06 65M15 35R11 PDFBibTeX XMLCite \textit{K. Baker} et al., Math. Comput. 93, No. 350, 2711--2743 (2024; Zbl 07899595) Full Text: DOI arXiv
Esedoḡlu, Selim; Guo, Jiajia; Li, David On median filters for motion by mean curvature. (English) Zbl 07899594 Math. Comput. 93, No. 350, 2679-2710 (2024). MSC: 65M06 65M12 35K93 PDFBibTeX XMLCite \textit{S. Esedoḡlu} et al., Math. Comput. 93, No. 350, 2679--2710 (2024; Zbl 07899594) Full Text: DOI arXiv
Sun, Yabing; Zhou, Quan Maximum bound principle for matrix-valued Allen-Cahn equation and integrating factor Runge-Kutta method. (English) Zbl 07899581 Numer. Algorithms 97, No. 1, 391-429 (2024). MSC: 65-XX 35K51 65L06 65M06 65M12 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{Q. Zhou}, Numer. Algorithms 97, No. 1, 391--429 (2024; Zbl 07899581) Full Text: DOI
Ou, Caixia; Cen, Dakang; Wang, Zhibo; Vong, Seakweng Fitted schemes for Caputo-Hadamard fractional differential equations. (English) Zbl 07899570 Numer. Algorithms 97, No. 1, 135-164 (2024). MSC: 65-XX 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{C. Ou} et al., Numer. Algorithms 97, No. 1, 135--164 (2024; Zbl 07899570) Full Text: DOI
Kumar, Alpesh; Rakshit, Gobinda; Kumar Yadav, Deepak; Yadav, Rajesh RBF-based IMEX finite difference schemes for pricing option under liquidity switching. (English) Zbl 07899562 Int. J. Comput. Math. 101, No. 7, 768-788 (2024). MSC: 65M12 65D12 91G20 PDFBibTeX XMLCite \textit{A. Kumar} et al., Int. J. Comput. Math. 101, No. 7, 768--788 (2024; Zbl 07899562) Full Text: DOI
Gao, Huadong; Xie, Wen A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow. (English) Zbl 07899543 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23097, 22 p. (2024). MSC: 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{H. Gao} and \textit{W. Xie}, Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23097, 22 p. (2024; Zbl 07899543) Full Text: DOI
Tong, Fenghua; Cai, Yongyong Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation. (English) Zbl 07899526 SIAM J. Numer. Anal. 62, No. 4, 2004-2024 (2024). MSC: 65M06 65M15 35K51 PDFBibTeX XMLCite \textit{F. Tong} and \textit{Y. Cai}, SIAM J. Numer. Anal. 62, No. 4, 2004--2024 (2024; Zbl 07899526) Full Text: DOI arXiv
Boubendir, Yassine; Brusca, Jake; Hamfeldt, Brittany F.; Takahashi, Tadanaga Domain decomposition methods for the Monge-Ampère equation. (English) Zbl 07899525 SIAM J. Numer. Anal. 62, No. 4, 1979-2003 (2024). MSC: 35J96 65N30 PDFBibTeX XMLCite \textit{Y. Boubendir} et al., SIAM J. Numer. Anal. 62, No. 4, 1979--2003 (2024; Zbl 07899525) Full Text: DOI arXiv
Bohaienko, Vsevolod Numerical restorability of parameter values of space-time fractional soil consolidation model. (English) Zbl 07899247 Comput. Appl. Math. 43, No. 6, Paper No. 357, 18 p. (2024). MSC: 65M06 65M32 65Y05 60K50 PDFBibTeX XMLCite \textit{V. Bohaienko}, Comput. Appl. Math. 43, No. 6, Paper No. 357, 18 p. (2024; Zbl 07899247) Full Text: DOI
Liao, Yige; Luo, Xianbing; Liu, Li-Bin A second order difference scheme on a Bakhvalov-type mesh for the singularly perturbed Volterra delay-integro-differential equation. (English) Zbl 07899239 Comput. Appl. Math. 43, No. 6, Paper No. 349, 16 p. (2024). MSC: 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{Y. Liao} et al., Comput. Appl. Math. 43, No. 6, Paper No. 349, 16 p. (2024; Zbl 07899239) Full Text: DOI
Wen, Xin; Song, Haiming; Li, Yutian; Gao, Zihan A primal-dual active set approach to the valuation of American options in regime-switching models: numerical solutions and convergence analysis. (English) Zbl 07899235 Comput. Appl. Math. 43, No. 6, Paper No. 345, 24 p. (2024). MSC: 35A35 90A09 65K10 65M12 65M60 PDFBibTeX XMLCite \textit{X. Wen} et al., Comput. Appl. Math. 43, No. 6, Paper No. 345, 24 p. (2024; Zbl 07899235) Full Text: DOI
Fortunato, Daniel A high-order fast direct solver for surface PDEs. (English) Zbl 07899181 SIAM J. Sci. Comput. 46, No. 4, A2582-A2606 (2024). MSC: 65M70 65M06 65N35 65M60 65N55 65F05 58A14 53A15 PDFBibTeX XMLCite \textit{D. Fortunato}, SIAM J. Sci. Comput. 46, No. 4, A2582--A2606 (2024; Zbl 07899181) Full Text: DOI arXiv
Liu, Shihao; Li, Tingting; Cheng, Ziqiang; Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping A new type of simplified inverse Lax-Wendroff boundary treatment. I: Hyperbolic conservation laws. (English) Zbl 07899018 J. Comput. Phys. 514, Article ID 113259, 22 p. (2024). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{S. Liu} et al., J. Comput. Phys. 514, Article ID 113259, 22 p. (2024; Zbl 07899018) Full Text: DOI arXiv
Zuo, Huimin; Zhu, Jun Increasingly high-order hybrid multi-resolution WENO schemes in multi-dimensions. (English) Zbl 07899003 J. Comput. Phys. 514, Article ID 113233, 17 p. (2024). MSC: 65M60 35L65 PDFBibTeX XMLCite \textit{H. Zuo} and \textit{J. Zhu}, J. Comput. Phys. 514, Article ID 113233, 17 p. (2024; Zbl 07899003) Full Text: DOI
Radtke, Lars; Torre, Michele; Hughes, Thomas J. R.; Düster, Alexander; Sangalli, Giancarlo; Reali, Alessandro An analysis of high order FEM and IGA for explicit dynamics: mass lumping and immersed boundaries. (English) Zbl 07898478 Int. J. Numer. Methods Eng. 125, No. 16, Article ID e7499, 41 p. (2024). MSC: 65M60 65M06 65N30 65N25 65D07 65D32 74K10 74S05 74S20 PDFBibTeX XMLCite \textit{L. Radtke} et al., Int. J. Numer. Methods Eng. 125, No. 16, Article ID e7499, 41 p. (2024; Zbl 07898478) Full Text: DOI
Pradhan, Gouranga; Deka, Bhupen Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes. (English) Zbl 07896745 BIT 64, No. 3, Paper No. 28, 28 p. (2024). MSC: 65M60 65M06 65N30 65N15 65N12 35Q35 76A10 PDFBibTeX XMLCite \textit{G. Pradhan} and \textit{B. Deka}, BIT 64, No. 3, Paper No. 28, 28 p. (2024; Zbl 07896745) Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical methods for forward fractional Feynman-Kac equation. (English) Zbl 07896657 Adv. Comput. Math. 50, No. 3, Paper No. 58, 40 p. (2024). MSC: 65M60 65M06 65N30 65D32 65M12 65M15 26A33 35R11 35B65 82C31 35Q84 35R60 PDFBibTeX XMLCite \textit{D. Nie} et al., Adv. Comput. Math. 50, No. 3, Paper No. 58, 40 p. (2024; Zbl 07896657) Full Text: DOI
Li, Jian; Gao, Jiawei; Qin, Yi An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system. (English) Zbl 07896656 Adv. Comput. Math. 50, No. 3, Paper No. 57, 33 p. (2024). MSC: 35Q35 35Q79 65M60 65M06 65N30 76R10 76S05 76D05 76U60 80A19 35K05 86A05 76M10 76M20 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Comput. Math. 50, No. 3, Paper No. 57, 33 p. (2024; Zbl 07896656) Full Text: DOI
Hu, Jun; Liang, Yizhou; Ma, Rui; Zhang, Min A family of conforming finite element divdiv complexes on cuboid meshes. (English) Zbl 07896232 Numer. Math. 156, No. 4, 1603-1638 (2024). MSC: 65M60 65M06 65N30 65N50 65N15 65N12 31A30 83C22 35Q76 PDFBibTeX XMLCite \textit{J. Hu} et al., Numer. Math. 156, No. 4, 1603--1638 (2024; Zbl 07896232) Full Text: DOI
Ravshanov, N.; Nazarov, Sh. E.; Boborakhimov, B. Modeling the process of pollutant spread in the atmosphere with account for the capture of particles by vegetation elements. (English) Zbl 07896210 Lobachevskii J. Math. 45, No. 3, 1213-1226 (2024). MSC: 86A10 86-10 76M20 PDFBibTeX XMLCite \textit{N. Ravshanov} et al., Lobachevskii J. Math. 45, No. 3, 1213--1226 (2024; Zbl 07896210) Full Text: DOI
Chang, Che-Chia; Dai, Chen-Yang; Hu, Wei-Fan; Lin, Te-Sheng; Lai, Ming-Chih A hybrid neural-network and MAC scheme for Stokes interface problems. (English) Zbl 07895485 East Asian J. Appl. Math. 14, No. 3, 490-506 (2024). MSC: 35J25 65N06 68T07 PDFBibTeX XMLCite \textit{C.-C. Chang} et al., East Asian J. Appl. Math. 14, No. 3, 490--506 (2024; Zbl 07895485) Full Text: DOI arXiv