Kumari, Trishna; Roul, Pradip An efficient computational technique for solving a time-fractional reaction-subdiffusion model in 2D space. (English) Zbl 07824653 Comput. Math. Appl. 160, 191-208 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{T. Kumari} and \textit{P. Roul}, Comput. Math. Appl. 160, 191--208 (2024; Zbl 07824653) Full Text: DOI
Kadri, Tlili; Rahmeni, Mohamed; Omrani, Khaled Efficient and accurate numerical methods for nonlinear strongly damped wave equation in 2+1 dimensions. (English) Zbl 07824649 Comput. Math. Appl. 160, 148-160 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{T. Kadri} et al., Comput. Math. Appl. 160, 148--160 (2024; Zbl 07824649) Full Text: DOI
Gao, Guang-hua; Huang, Yu; Sun, Zhi-Zhong Pointwise error estimate of the compact difference methods for the fourth-order parabolic equations with the third Neumann boundary conditions. (English) Zbl 07823713 Math. Methods Appl. Sci. 47, No. 2, 634-659 (2024). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., Math. Methods Appl. Sci. 47, No. 2, 634--659 (2024; Zbl 07823713) Full Text: DOI
Qin, Chuancheng; Lin, Wen-Juan; Yu, Jinpeng Adaptive event-triggered fault detection for Markov jump nonlinear systems with time delays and uncertain parameters. (English) Zbl 07821221 Int. J. Robust Nonlinear Control 34, No. 3, 1939-1955 (2024). MSC: 93C40 93C65 93E11 93E15 93C10 93C43 PDFBibTeX XMLCite \textit{C. Qin} et al., Int. J. Robust Nonlinear Control 34, No. 3, 1939--1955 (2024; Zbl 07821221) Full Text: DOI
Fakharany, M.; El-Borai, Mahmoud M.; Abu Ibrahim, M. A. A unified approach to solving parabolic Volterra partial integro-differential equations for a broad category of kernels: numerical analysis and computing. (English) Zbl 07820986 Results Appl. Math. 21, Article ID 100425, 12 p. (2024). MSC: 65M06 65N06 65T50 65M12 35R09 45K05 35A21 35Q79 PDFBibTeX XMLCite \textit{M. Fakharany} et al., Results Appl. Math. 21, Article ID 100425, 12 p. (2024; Zbl 07820986) Full Text: DOI
Vilar, François; Abgrall, Rémi A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. (English) Zbl 07820564 SIAM J. Sci. Comput. 46, No. 2, A851-A883 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N30 65M06 65L06 65N08 65N12 35L67 35D30 76N15 PDFBibTeX XMLCite \textit{F. Vilar} and \textit{R. Abgrall}, SIAM J. Sci. Comput. 46, No. 2, A851--A883 (2024; Zbl 07820564) Full Text: DOI arXiv
Vigo-Aguiar, J.; Chawla, Reetika; Kumar, Devendra; Mazumdar, Tapas An implicit scheme for time-fractional coupled generalized Burgers’ equation. (English) Zbl 07812880 J. Math. Chem. 62, No. 3, 689-710 (2024). MSC: 26A33 65M12 35R11 41A15 65D07 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} et al., J. Math. Chem. 62, No. 3, 689--710 (2024; Zbl 07812880) Full Text: DOI
Cao, Weichen; Yang, Hengli; Chen, Wenbin An exponential time differencing Runge-Kutta method ETDRK32 for phase field models. (English) Zbl 07812560 J. Sci. Comput. 99, No. 1, Paper No. 6, 27 p. (2024). MSC: 65M70 65L06 65L05 65M12 35K61 35K55 PDFBibTeX XMLCite \textit{W. Cao} et al., J. Sci. Comput. 99, No. 1, Paper No. 6, 27 p. (2024; Zbl 07812560) Full Text: DOI
Zhai, Mengqing; Zheng, Supei; Zhang, Chengzhi; Jian, Mangmang A new S-M limiter entropy stable scheme based on moving mesh method for ideal MHD and SWMHD equations. (English) Zbl 07812552 J. Sci. Comput. 98, No. 3, Paper No. 68, 38 p. (2024). MSC: 65M08 65M06 65L06 65N08 65M50 65F10 65M12 76W05 76B03 76B15 76B47 76L05 35B05 35Q35 PDFBibTeX XMLCite \textit{M. Zhai} et al., J. Sci. Comput. 98, No. 3, Paper No. 68, 38 p. (2024; Zbl 07812552) Full Text: DOI
Guan, Zhen; Li, Meng; Wang, Junjun The nonconforming virtual element method for Sobolev equations with Burger’s type nonlinearity. (English) Zbl 07810071 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107881, 15 p. (2024). MSC: 65M60 65M06 65N30 65M15 65M12 65H10 41A25 35A15 35Q53 PDFBibTeX XMLCite \textit{Z. Guan} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107881, 15 p. (2024; Zbl 07810071) Full Text: DOI
Pan, Mingyang; Liu, Sifu; Zhu, Wenxing; Jiao, Fengyu; He, Dongdong A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system. (English) Zbl 07810064 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107873, 21 p. (2024). MSC: 65N06 65M06 65M12 76W05 76D07 76M20 78A35 78A57 78M20 35A24 35Q35 35Q60 PDFBibTeX XMLCite \textit{M. Pan} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107873, 21 p. (2024; Zbl 07810064) Full Text: DOI
Tan, Zhijun \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations. (English) Zbl 07810028 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024). MSC: 65M55 65M60 65M06 65N55 65N30 65N50 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Tan}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024; Zbl 07810028) Full Text: DOI
Guo, Feng; Dai, Weizhong Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations. (English) Zbl 07810002 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35C08 35K05 78A60 74F15 74F05 35Q55 35Q41 35Q60 PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024; Zbl 07810002) Full Text: DOI
Shi, Yi A new phase field method for the simulation of wetting on rough surfaces. (English) Zbl 07807498 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1972-1989 (2024). MSC: 76T06 76M10 65M12 PDFBibTeX XMLCite \textit{Y. Shi}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1972--1989 (2024; Zbl 07807498) Full Text: DOI
Ge, Zhihao; Li, Hairun; Li, Tingting Multirate time iterative scheme with multiphysics finite element method for a nonlinear poroelasticity. (English) Zbl 07806685 J. Comput. Math. 42, No. 2, 597-616 (2024). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{Z. Ge} et al., J. Comput. Math. 42, No. 2, 597--616 (2024; Zbl 07806685) Full Text: DOI
Li, Meng; Zhao, Jikun; Chen, Shaochun Unconditional error analysis of VEMs for a generalized nonlinear Schrödinger equation. (English) Zbl 07806682 J. Comput. Math. 42, No. 2, 500-543 (2024). MSC: 65N35 65N12 76D07 65N15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Comput. Math. 42, No. 2, 500--543 (2024; Zbl 07806682) Full Text: DOI
Karami, M.; Mohebbian, A.; Razaghian, S.; Namjoo, M.; Aminian, M. Numerical solutions for a class stochastic partial differential equations. (English) Zbl 07806568 J. Mahani Math. Res. Cent. 13, No. 1, 357-382 (2024). MSC: 60H15 65M12 PDFBibTeX XMLCite \textit{M. Karami} et al., J. Mahani Math. Res. Cent. 13, No. 1, 357--382 (2024; Zbl 07806568) Full Text: DOI
Aloev, R. D.; Nematova, D. E. An algebraic condition for the exponential stability of an upwind difference scheme for hyperbolic systems. (English. Russian original) Zbl 07805790 J. Math. Sci., New York 278, No. 4, 580-595 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 25-40 (2022). MSC: 65M06 65N06 35L02 65M12 35B45 PDFBibTeX XMLCite \textit{R. D. Aloev} and \textit{D. E. Nematova}, J. Math. Sci., New York 278, No. 4, 580--595 (2024; Zbl 07805790); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 25--40 (2022) Full Text: DOI
Khibiev, Aslanbek; Alikhanov, Anatoly; Huang, Chengming A second-order difference scheme for generalized time-fractional diffusion equation with smooth solutions. (English) Zbl 07804036 Comput. Methods Appl. Math. 24, No. 1, 101-117 (2024). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{A. Khibiev} et al., Comput. Methods Appl. Math. 24, No. 1, 101--117 (2024; Zbl 07804036) Full Text: DOI arXiv
Mao, Shipeng; Sun, Jiaao; Xue, Wendong Unconditional convergence and error estimates of a fully discrete finite element method for the micropolar Navier-Stokes equations. (English) Zbl 07803023 J. Comput. Math. 42, No. 1, 71-110 (2024). MSC: 76M10 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{S. Mao} et al., J. Comput. Math. 42, No. 1, 71--110 (2024; Zbl 07803023) Full Text: DOI
Zhao, Zilin; Deng, Dingwen The analyses and Richardson extrapolation methods of a class of weighted structure-preserving difference schemes for Fisher-KPP equations. (The analyses and Richardsdon extrapolation methods of a class of weighted structure-preserving difference schemes for Fisher-KPP equations.) (English) Zbl 07802106 Acta Math. Appl. Sin. 47, No. 1, 101-123 (2024). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{D. Deng}, Acta Math. Appl. Sin. 47, No. 1, 101--123 (2024; Zbl 07802106) Full Text: Link
Li, Xiaoyue; Mao, Xuerong; Song, Guoting An explicit approximation for super-linear stochastic functional differential equations. (English) Zbl 07800507 Stochastic Processes Appl. 169, Article ID 104275, 27 p. (2024). MSC: 60H10 60H35 PDFBibTeX XMLCite \textit{X. Li} et al., Stochastic Processes Appl. 169, Article ID 104275, 27 p. (2024; Zbl 07800507) Full Text: DOI arXiv
Zhang, Wen; Wu, Changxing; Ruan, Zhousheng; Qiu, Shufang A Jacobi spectral method for calculating fractional derivative based on mollification regularization. (English) Zbl 07799932 Asymptotic Anal. 136, No. 1, 61-77 (2024). MSC: 65M70 65M12 65M15 65D32 33C45 35B65 26A33 35R11 34A08 34B24 35R60 PDFBibTeX XMLCite \textit{W. Zhang} et al., Asymptotic Anal. 136, No. 1, 61--77 (2024; Zbl 07799932) Full Text: DOI
Sun, Yongwang; Zhao, Weidong; Zhao, Wenju A generalized finite element \(\theta\)-scheme for backward stochastic partial differential equations and its error estimates. (English) Zbl 07799050 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 23-46 (2024). MSC: 65M60 65C30 65M06 65N30 65M12 65M15 65Y05 60H15 60H35 60J65 35R60 PDFBibTeX XMLCite \textit{Y. Sun} et al., ESAIM, Math. Model. Numer. Anal. 58, No. 1, 23--46 (2024; Zbl 07799050) Full Text: DOI
Chen, Hang; He, Yuyu; Chen, Hongtao Stability and temporal error estimate of scalar auxiliary variable schemes for the magnetohydrodynamics equations with variable density. (English) Zbl 07798419 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23067, 33 p. (2024). MSC: 65M12 76M10 65M06 PDFBibTeX XMLCite \textit{H. Chen} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23067, 33 p. (2024; Zbl 07798419) Full Text: DOI
Hogeme, Mohammed Sumebo; Woldaregay, Mesfin Mekuria; Rathour, Laxmi; Mishra, Vishnu Narayan A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method. (English) Zbl 07797209 J. Comput. Appl. Math. 441, Article ID 115709, 10 p. (2024). MSC: 65L10 65D30 65L20 65L70 PDFBibTeX XMLCite \textit{M. S. Hogeme} et al., J. Comput. Appl. Math. 441, Article ID 115709, 10 p. (2024; Zbl 07797209) Full Text: DOI
Misra, A. K.; Jha, Navnit; Patel, Rahul Modeling the effects of insects and insecticides with external efforts on agricultural crops. (English) Zbl 07796604 Differ. Equ. Dyn. Syst. 32, No. 1, 15-32 (2024). MSC: 92D45 34A30 65L12 PDFBibTeX XMLCite \textit{A. K. Misra} et al., Differ. Equ. Dyn. Syst. 32, No. 1, 15--32 (2024; Zbl 07796604) Full Text: DOI
Wang, Xiaoying; Xu, Jie; Fu, Hongfei A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients. (English) Zbl 07793582 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024). MSC: 65M06 65N06 65B05 65M12 65M15 76A10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024; Zbl 07793582) Full Text: DOI
Kumari, Sarita; Pandey, Rajesh K. Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems. (English) Zbl 07793575 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B65 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. K. Pandey}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024; Zbl 07793575) Full Text: DOI
Wang, Qiu-Ya; She, Zi-Hang; Lao, Cheng-Xue; Lin, Fu-Rong Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations. (English) Zbl 07792403 Numer. Algorithms 95, No. 2, 859-895 (2024). MSC: 65M06 65N06 65F08 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Q.-Y. Wang} et al., Numer. Algorithms 95, No. 2, 859--895 (2024; Zbl 07792403) Full Text: DOI
Li, Xiao; Qiao, Zhonghua; Wang, Cheng Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. (English) Zbl 07791017 Sci. China, Math. 67, No. 1, 187-210 (2024). MSC: 35Q35 65M70 65M06 65L06 65N35 65M12 65M15 35B20 PDFBibTeX XMLCite \textit{X. Li} et al., Sci. China, Math. 67, No. 1, 187--210 (2024; Zbl 07791017) Full Text: DOI arXiv
Kong, Linghua; Wu, Yexiang; Liu, Zhiqiang; Wang, Ping Pointwise second order convergence of structure-preserving scheme for the triple-coupled nonlinear Schrödinger equations. (English) Zbl 07784351 Comput. Math. Appl. 154, 91-102 (2024). MSC: 35Q55 65M06 65M12 65M70 65M15 PDFBibTeX XMLCite \textit{L. Kong} et al., Comput. Math. Appl. 154, 91--102 (2024; Zbl 07784351) Full Text: DOI
Nie, Cunyun; Fang, Jianglin; Shu, Shi A monotone finite volume element scheme for diffusion equations on arbitrary polygonal grids. (English) Zbl 07784338 Comput. Math. Appl. 153, 225-236 (2024). MSC: 65N08 35J25 65N12 65N50 65N30 PDFBibTeX XMLCite \textit{C. Nie} et al., Comput. Math. Appl. 153, 225--236 (2024; Zbl 07784338) Full Text: DOI
Shi, Dongyang; Qi, Zhenqi Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation. (English) Zbl 07784334 Comput. Math. Appl. 153, 172-185 (2024). MSC: 65M60 65M12 65N30 65M06 35Q53 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Qi}, Comput. Math. Appl. 153, 172--185 (2024; Zbl 07784334) Full Text: DOI
Shi, Dongyang; Zhang, Lingen Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation. (English) Zbl 07784328 Comput. Math. Appl. 153, 81-93 (2024). MSC: 65N30 65M15 65M60 65M06 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Zhang}, Comput. Math. Appl. 153, 81--93 (2024; Zbl 07784328) Full Text: DOI
Yang, Jinping; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin Unconditionally stable and convergent difference scheme for superdiffusion with extrapolation. (English) Zbl 07784046 J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024). MSC: 65M06 65N06 65D05 65B05 65M15 65M12 45K05 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024; Zbl 07784046) Full Text: DOI OA License
Manebo, Wubeshet Seyoum; Woldaregay, Mesfin Mekuria; Dinka, Tekle Gemechu; Duressa, Gemechis File An equidistributed grid-based second-order scheme for a singularly perturbed Fredholm integro-differential equation with an interior layer. (English) Zbl 07764820 Appl. Math. Comput. 464, Article ID 128398, 11 p. (2024). MSC: 65R20 65L20 65L12 65L11 PDFBibTeX XMLCite \textit{W. S. Manebo} et al., Appl. Math. Comput. 464, Article ID 128398, 11 p. (2024; Zbl 07764820) Full Text: DOI
Ku Sahoo, Sanjay; Gupta, Vikas; Dubey, Shruti A robust higher-order finite difference technique for a time-fractional singularly perturbed problem. (English) Zbl 07764057 Math. Comput. Simul. 215, 43-68 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Ku Sahoo} et al., Math. Comput. Simul. 215, 43--68 (2024; Zbl 07764057) Full Text: DOI
Boujlida, Hanen; Ismail, Kaouther; Omrani, Khaled A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation. (English) Zbl 1528.65040 Appl. Numer. Math. 195, 126-141 (2024). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{H. Boujlida} et al., Appl. Numer. Math. 195, 126--141 (2024; Zbl 1528.65040) Full Text: DOI
Zlotnik, Alexander; Lomonosov, Timofey On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations. (English) Zbl 07763848 Appl. Numer. Math. 195, 54-74 (2024). MSC: 65Mxx 35Lxx 65Nxx PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{T. Lomonosov}, Appl. Numer. Math. 195, 54--74 (2024; Zbl 07763848) Full Text: DOI
Ding, Ming-Jian; Zhu, Bao-Xuan Some results related to Hurwitz stability of combinatorial polynomials. (English) Zbl 07757075 Adv. Appl. Math. 152, Article ID 102591, 39 p. (2024). MSC: 11B83 33C45 05A15 05A20 26C10 30B70 PDFBibTeX XMLCite \textit{M.-J. Ding} and \textit{B.-X. Zhu}, Adv. Appl. Math. 152, Article ID 102591, 39 p. (2024; Zbl 07757075) Full Text: DOI
Tian, Jia; He, Mingyan; Sun, Pengtao Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations. (English) Zbl 07756781 J. Comput. Appl. Math. 438, Article ID 115576, 23 p. (2024). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{J. Tian} et al., J. Comput. Appl. Math. 438, Article ID 115576, 23 p. (2024; Zbl 07756781) Full Text: DOI
Ngondiep, Eric A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems. (English) Zbl 1522.76043 J. Comput. Appl. Math. 438, Article ID 115569, 23 p. (2024). MSC: 76M10 65M06 65M12 76D05 PDFBibTeX XMLCite \textit{E. Ngondiep}, J. Comput. Appl. Math. 438, Article ID 115569, 23 p. (2024; Zbl 1522.76043) Full Text: DOI
Zhu, Wenxing; Pan, Mingyang; Wang, Qinghe; Jiao, Fengyu; He, Dongdong Decoupled second-order energy stable scheme for an electrohydrodynamic model with variable electrical conductivity. (English) Zbl 07756744 J. Comput. Appl. Math. 438, Article ID 115530, 15 p. (2024). MSC: 65Mxx 35Qxx 76Wxx PDFBibTeX XMLCite \textit{W. Zhu} et al., J. Comput. Appl. Math. 438, Article ID 115530, 15 p. (2024; Zbl 07756744) Full Text: DOI
Abreu, Eduardo; Agudelo, Jorge; Pérez, John A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws. (English) Zbl 07750636 J. Comput. Appl. Math. 437, Article ID 115465, 22 p. (2024). MSC: 65-XX 35L65 65M06 65M12 76M20 76S05 PDFBibTeX XMLCite \textit{E. Abreu} et al., J. Comput. Appl. Math. 437, Article ID 115465, 22 p. (2024; Zbl 07750636) Full Text: DOI
Wang, Yibo; Cao, Wanrong Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation. (English) Zbl 1526.65048 J. Comput. Appl. Math. 437, Article ID 115459, 26 p. (2024). MSC: 65M60 65M06 65N30 65M70 65N35 65M12 65M15 65C30 60H35 60H15 60H40 35R60 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Cao}, J. Comput. Appl. Math. 437, Article ID 115459, 26 p. (2024; Zbl 1526.65048) Full Text: DOI
Li, Yukun; Vo, Liet; Wang, Guanqian Higher order time discretization method for a class of semilinear stochastic partial differential equations with multiplicative noise. (English) Zbl 1523.60111 J. Comput. Appl. Math. 437, Article ID 115442, 24 p. (2024). MSC: 60H15 60H35 65C30 65M12 65M60 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Appl. Math. 437, Article ID 115442, 24 p. (2024; Zbl 1523.60111) Full Text: DOI arXiv
Sheng, Zhiqiang; Yuan, Guangwei A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation. (English) Zbl 1523.65087 J. Comput. Appl. Math. 436, Article ID 115438, 16 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65H10 65N15 65N12 35J15 14K30 PDFBibTeX XMLCite \textit{Z. Sheng} and \textit{G. Yuan}, J. Comput. Appl. Math. 436, Article ID 115438, 16 p. (2024; Zbl 1523.65087) Full Text: DOI
Clavero, Carmelo; Shiromani, Ram; Shanthi, Vembu A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. (English) Zbl 1522.35220 J. Comput. Appl. Math. 436, Article ID 115422, 20 p. (2024). MSC: 35J57 65N06 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{C. Clavero} et al., J. Comput. Appl. Math. 436, Article ID 115422, 20 p. (2024; Zbl 1522.35220) Full Text: DOI
Amirali, Ilhame; Amiraliyev, Gabil M. Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method. (English) Zbl 1519.65034 J. Comput. Appl. Math. 436, Article ID 115417, 9 p. (2024). MSC: 65M22 35K70 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{I. Amirali} and \textit{G. M. Amiraliyev}, J. Comput. Appl. Math. 436, Article ID 115417, 9 p. (2024; Zbl 1519.65034) Full Text: DOI
Zhu, Xingyu; Wang, Xiuping; Kou, Jisheng; Sun, Shuyu An energy stable incompressible SPH method with consistent solid boundary treatment. (English) Zbl 1522.76064 J. Comput. Appl. Math. 436, Article ID 115367, 16 p. (2024). MSC: 76M28 76D05 65M12 PDFBibTeX XMLCite \textit{X. Zhu} et al., J. Comput. Appl. Math. 436, Article ID 115367, 16 p. (2024; Zbl 1522.76064) Full Text: DOI
Ramadan, Omar Stable second-order explicit Runge-Kutta finite difference time domain formulations for modeling graphene nano-material structures. (English) Zbl 07820184 Zeidan, Dia (ed.) et al., Mathematics and computation. IACMC 2022. Selected papers based on the presentations at the 7th international Arab conference on mathematics and computations, Zarqa, Jordan, May 11–13, 2022. Singapore: Springer. Springer Proc. Math. Stat. 418, 149-158 (2023). MSC: 00B25 PDFBibTeX XMLCite \textit{O. Ramadan}, Springer Proc. Math. Stat. 418, 149--158 (2023; Zbl 07820184) Full Text: DOI
Trifonov, Yu. Ya. Calculation of the linear stability of liquid flow in a flat channel with streamwise wavy walls. (English. Russian original) Zbl 07817113 J. Appl. Mech. Tech. Phys. 64, No. 6, 1000-1010 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 6, 68-80 (2023). MSC: 76E05 76D05 76M20 PDFBibTeX XMLCite \textit{Yu. Ya. Trifonov}, J. Appl. Mech. Tech. Phys. 64, No. 6, 1000--1010 (2023; Zbl 07817113); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 6, 68--80 (2023) Full Text: DOI
Saravanakumar, T.; Lee, Tae H. Hybrid-driven-based resilient control for networked T-S fuzzy systems with time-delay and cyber-attacks. (English) Zbl 07816466 Int. J. Robust Nonlinear Control 33, No. 13, 7869-7891 (2023). MSC: 93C30 93B35 93B70 93C42 93C43 93D20 PDFBibTeX XMLCite \textit{T. Saravanakumar} and \textit{T. H. Lee}, Int. J. Robust Nonlinear Control 33, No. 13, 7869--7891 (2023; Zbl 07816466) Full Text: DOI
Yakubu, Dauda G.; Momoh, Adelegan L.; Kumleng, Geoffrey M.; Shokri, Ali Two-step second-derivative block hybrid methods for the integration of initial value problems. (English) Zbl 07816072 J. Niger. Math. Soc. 42, No. 2, 67-95 (2023). MSC: 34M10 35B05 35B35 65L05 PDFBibTeX XMLCite \textit{D. G. Yakubu} et al., J. Niger. Math. Soc. 42, No. 2, 67--95 (2023; Zbl 07816072) Full Text: Link
Cai, Yongyong; Chen, Jingrun; Wang, Cheng; Xie, Changjian Error analysis of a linear numerical scheme for the Landau-Lifshitz equation with large damping parameters. (English) Zbl 07816038 Math. Methods Appl. Sci. 46, No. 18, 18952-18974 (2023). MSC: 35K61 65M06 65M12 PDFBibTeX XMLCite \textit{Y. Cai} et al., Math. Methods Appl. Sci. 46, No. 18, 18952--18974 (2023; Zbl 07816038) Full Text: DOI arXiv OA License
Chuĭko, Mikhail Matveevich; Korolëva, Ol’ga Mikhaĭlovna Stability investigation of an implicit difference scheme for a nonlinear transport equation. (Russian. English summary) Zbl 07815818 Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 4, 279-290 (2023). MSC: 65M06 65N06 76M20 35Q35 PDFBibTeX XMLCite \textit{M. M. Chuĭko} and \textit{O. M. Korolëva}, Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 4, 279--290 (2023; Zbl 07815818) Full Text: Link
Negero, Naol Tufa A fitted operator method of line scheme for solving two-parameter singularly perturbed parabolic convection-diffusion problems with time delay. (English) Zbl 07814808 J. Math. Model. 11, No. 2, 395-410 (2023). MSC: 65M06 65M12 65L11 PDFBibTeX XMLCite \textit{N. T. Negero}, J. Math. Model. 11, No. 2, 395--410 (2023; Zbl 07814808) Full Text: DOI
Hou, Dianming; Qiao, Zhonghua; Tang, Tao Fast high order and energy dissipative schemes with variable time steps for time-fractional molecular beam epitaxial growth model. (English) Zbl 07814793 Ann. Appl. Math. 39, No. 4, 429-461 (2023). MSC: 65M06 65M15 41A05 41A25 PDFBibTeX XMLCite \textit{D. Hou} et al., Ann. Appl. Math. 39, No. 4, 429--461 (2023; Zbl 07814793) Full Text: DOI
Fang, Shuixin; Zhao, Weidong ODE-based multistep schemes for backward stochastic differential equations. (English) Zbl 07814777 Numer. Math., Theory Methods Appl. 16, No. 4, 1053-1086 (2023). MSC: 65C30 60H35 65C20 PDFBibTeX XMLCite \textit{S. Fang} and \textit{W. Zhao}, Numer. Math., Theory Methods Appl. 16, No. 4, 1053--1086 (2023; Zbl 07814777) Full Text: DOI
Ji, Cui-Cui; Dai, Weizhong Numerical algorithm with fourth-order spatial accuracy for solving the time-fractional dual-phase-lagging nanoscale heat conduction equation. (English) Zbl 07814766 Numer. Math., Theory Methods Appl. 16, No. 2, 511-540 (2023). MSC: 35R11 65M06 65M12 80A20 PDFBibTeX XMLCite \textit{C.-C. Ji} and \textit{W. Dai}, Numer. Math., Theory Methods Appl. 16, No. 2, 511--540 (2023; Zbl 07814766) Full Text: DOI
Pan, Kejia; Fu, Kang; Li, Jin; Hu, Hongling; Li, Zhilin New sixth-order compact schemes for Poisson/Helmholtz equations. (English) Zbl 07814761 Numer. Math., Theory Methods Appl. 16, No. 2, 393-409 (2023). MSC: 65N06 65N12 PDFBibTeX XMLCite \textit{K. Pan} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 393--409 (2023; Zbl 07814761) Full Text: DOI
Yuan, Wanqiu; Li, Dongfang; Zhang, Chengjian Linearized transformed \(L1\) Galerkin FEMs with unconditional convergence for nonlinear time fractional Schrödinger equations. (English) Zbl 07814759 Numer. Math., Theory Methods Appl. 16, No. 2, 348-369 (2023). MSC: 34A08 65M12 65M60 65N30 PDFBibTeX XMLCite \textit{W. Yuan} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 348--369 (2023; Zbl 07814759) Full Text: DOI
Gao, Guang-hua; Ge, Biao; Sun, Zhi-Zhong Conservative three-level linearized finite difference schemes for the Fisher equation and its maximum error estimates. (English) Zbl 07814748 Numer. Math., Theory Methods Appl. 16, No. 3, 634-667 (2023). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., Numer. Math., Theory Methods Appl. 16, No. 3, 634--667 (2023; Zbl 07814748) Full Text: DOI
Shen, Yedan; Wang, Ting; Zhou, Jie; Hu, Guanghui A convergence analysis of a structure-preserving gradient flow method for the all-electron Kohn-Sham model. (English) Zbl 07814746 Numer. Math., Theory Methods Appl. 16, No. 3, 597-621 (2023). MSC: 35Q41 81Q05 65M60 65M12 65M50 PDFBibTeX XMLCite \textit{Y. Shen} et al., Numer. Math., Theory Methods Appl. 16, No. 3, 597--621 (2023; Zbl 07814746) Full Text: DOI arXiv
Tone, Cristina; Tone, Florentina Approximation of the long-time dynamics of the dynamical system generated by the Ginzburg-Landau equation. (English) Zbl 07812209 Commun. Math. Res. 39, No. 4, 501-522 (2023). MSC: 35Q56 35Q35 PDFBibTeX XMLCite \textit{C. Tone} and \textit{F. Tone}, Commun. Math. Res. 39, No. 4, 501--522 (2023; Zbl 07812209) Full Text: DOI
Wondimu, Getu Mekonnen; Dinka, Tekle Gemechu; Woldaregay, Mesfin; Duressa, Gemechis File Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition. (English) Zbl 07810159 Comput. Methods Differ. Equ. 11, No. 3, 478-494 (2023). MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{G. M. Wondimu} et al., Comput. Methods Differ. Equ. 11, No. 3, 478--494 (2023; Zbl 07810159) Full Text: DOI
Qi, Xiao Extended Milstein approximation to the stochastic Allen-Cahn equation with random diffusion coefficient field and multiplicative noise. (English) Zbl 07809621 J. Math. Study 56, No. 4, 366-391 (2023). MSC: 60H15 60H35 65C50 PDFBibTeX XMLCite \textit{X. Qi}, J. Math. Study 56, No. 4, 366--391 (2023; Zbl 07809621) Full Text: DOI
Qi, Ren-Jun; Sun, Zhi-Zhong A fast temporal second order difference scheme for the fractional sub-diffusion equations on one dimensional space unbounded domain. (English) Zbl 07809588 J. Math. Study 56, No. 2, 173-205 (2023). MSC: 65M06 65M12 65M15 65M99 PDFBibTeX XMLCite \textit{R.-J. Qi} and \textit{Z.-Z. Sun}, J. Math. Study 56, No. 2, 173--205 (2023; Zbl 07809588) Full Text: DOI
Udo, M. O.; Ofem, A. E.; Oboyi, J.; Chikwe, C. F.; Ekoro, S. E.; Adie, F. A. Some common fixed point results for three total asymptotically pseudocontractive mappings. (English) Zbl 07808301 J. Anal. 31, No. 3, 2005-2022 (2023). MSC: 47H05 47H09 39B82 PDFBibTeX XMLCite \textit{M. O. Udo} et al., J. Anal. 31, No. 3, 2005--2022 (2023; Zbl 07808301) Full Text: DOI
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka; Martynyuk-Chernienko, Yulya On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters. (English) Zbl 07804393 Electron. Res. Arch. 31, No. 10, 6089-6119 (2023). MSC: 93D30 93C42 PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Electron. Res. Arch. 31, No. 10, 6089--6119 (2023; Zbl 07804393) Full Text: DOI
Wang, Shuaikang; Jiang, Yunzhi; Ge, Yongbin High-order compact difference methods for solving two-dimensional nonlinear wave equations. (English) Zbl 07804281 Electron. Res. Arch. 31, No. 6, 3145-3168 (2023). MSC: 65M06 65N06 65M12 65M15 41A21 35Q53 PDFBibTeX XMLCite \textit{S. Wang} et al., Electron. Res. Arch. 31, No. 6, 3145--3168 (2023; Zbl 07804281) Full Text: DOI
Garima; Sharma, Kapil K. The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts. (English) Zbl 07804201 Int. J. Comput. Math. 100, No. 12, 2217-2240 (2023). MSC: 65N06 65N12 65N15 65N22 PDFBibTeX XMLCite \textit{Garima} and \textit{K. K. Sharma}, Int. J. Comput. Math. 100, No. 12, 2217--2240 (2023; Zbl 07804201) Full Text: DOI
Bussac, Jean; Saleh, Khaled Numerical simulation of a barotropic two-phase flow model with miscible phases. (English) Zbl 07803006 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 63-71 (2023). MSC: 65M08 65N08 65M12 65M15 76T10 76N99 35Q35 PDFBibTeX XMLCite \textit{J. Bussac} and \textit{K. Saleh}, Springer Proc. Math. Stat. 433, 63--71 (2023; Zbl 07803006) Full Text: DOI
Guo, Bao-Zhu; Zhao, Xi Uniformly exponential stability of semi-discrete scheme for a vibration cable with a tip mass under observer-based feedback control. (English) Zbl 07798863 ESAIM, Control Optim. Calc. Var. 29, Paper No. 72, 30 p. (2023). MSC: 35B40 35L20 34D20 49M25 65L20 65N12 93D15 PDFBibTeX XMLCite \textit{B.-Z. Guo} and \textit{X. Zhao}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 72, 30 p. (2023; Zbl 07798863) Full Text: DOI
Gu, Jie; Nong, Lijuan; Yi, Qian; Chen, An Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation. (English) Zbl 07798677 Netw. Heterog. Media 18, No. 4, 1692-1712 (2023). MSC: 91G60 65M06 35R11 PDFBibTeX XMLCite \textit{J. Gu} et al., Netw. Heterog. Media 18, No. 4, 1692--1712 (2023; Zbl 07798677) Full Text: DOI
Deng, Dingwen; Chen, Jingliang Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. (English) Zbl 07798640 Netw. Heterog. Media 18, No. 1, 412-443 (2023). MSC: 65M06 65M12 35R10 PDFBibTeX XMLCite \textit{D. Deng} and \textit{J. Chen}, Netw. Heterog. Media 18, No. 1, 412--443 (2023; Zbl 07798640) Full Text: DOI
Yan, Tong The numerical solutions for the nonhomogeneous Burgers’ equation with the generalized Hopf-Cole transformation. (English) Zbl 07798637 Netw. Heterog. Media 18, No. 1, 359-379 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{T. Yan}, Netw. Heterog. Media 18, No. 1, 359--379 (2023; Zbl 07798637) Full Text: DOI
Wang, Yue; Zhu, Beibei; Chen, Hu \(\alpha\)-robust \(H^1\)-norm convergence analysis of L1FEM-ADI scheme for 2D/3D subdiffusion equation with initial singularity. (English) Zbl 07795468 Math. Methods Appl. Sci. 46, No. 15, 16144-16155 (2023). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Math. Methods Appl. Sci. 46, No. 15, 16144--16155 (2023; Zbl 07795468) Full Text: DOI
Choudhary, Renu; Singh, Satpal; Kumar, Devendra A high-order numerical technique for generalized time-fractional Fisher’s equation. (English) Zbl 07795463 Math. Methods Appl. Sci. 46, No. 15, 16050-16071 (2023). MSC: 65M06 65N06 65M12 26A33 35R11 35Qxx PDFBibTeX XMLCite \textit{R. Choudhary} et al., Math. Methods Appl. Sci. 46, No. 15, 16050--16071 (2023; Zbl 07795463) Full Text: DOI
Fedotova, Z. I.; Khakimzianov, G. S. On the properties of difference schemes for solving nonlinear dispersion equations of ingreased precision. I: The case of one spatial variable. (Russian. English summary) Zbl 07795452 Sib. Zh. Vychisl. Mat. 26, No. 4, 451-467 (2023). MSC: 65L12 76M20 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzianov}, Sib. Zh. Vychisl. Mat. 26, No. 4, 451--467 (2023; Zbl 07795452) Full Text: DOI MNR
Wang, Can; Deng, Weihua; Tang, Xiangong A sharp \(\alpha\)-robust \(L1\) scheme on graded meshes for two-dimensional time tempered fractional Fokker-Planck equation. (English) Zbl 07793824 Int. J. Numer. Anal. Model. 20, No. 6, 739-771 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{C. Wang} et al., Int. J. Numer. Anal. Model. 20, No. 6, 739--771 (2023; Zbl 07793824) Full Text: DOI arXiv
Nitiema, Martin; Somdouda, Sawadogo Stability and convergence of a numerical scheme for advection-diffusion equations involving a fractional Laplace operator. (English) Zbl 07793689 J. Nonlinear Evol. Equ. Appl. 2023, 19-33 (2023). MSC: 65M12 35R11 35S15 PDFBibTeX XMLCite \textit{M. Nitiema} and \textit{S. Somdouda}, J. Nonlinear Evol. Equ. Appl. 2023, 19--33 (2023; Zbl 07793689) Full Text: Link
Gowda, G. D. Veerappa; Kenettinkara, Sudarshan Kumar; Manoj, Nikhil Convergence of a second-order scheme for non-local conservation laws. (English) Zbl 07792492 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439-3481 (2023). MSC: 65M12 35L65 76A30 65M08 PDFBibTeX XMLCite \textit{G. D. V. Gowda} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439--3481 (2023; Zbl 07792492) Full Text: DOI
Weber, Franziska; Yue, Yukun On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system. (English) Zbl 07792487 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3275-3302 (2023). MSC: 65M06 65M12 76D05 76A15 26A33 35D30 35Q35 PDFBibTeX XMLCite \textit{F. Weber} and \textit{Y. Yue}, ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3275--3302 (2023; Zbl 07792487) Full Text: DOI arXiv
Ghosh, Bappa; Mohapatra, Jugal A novel numerical technique for solving time fractional nonlinear diffusion equations involving weak singularities. (English) Zbl 07790758 Math. Methods Appl. Sci. 46, No. 12, 12811-12825 (2023). MSC: 65M06 65N06 65M12 65M15 35A21 35R10 26A33 35R11 35Q35 35Q92 PDFBibTeX XMLCite \textit{B. Ghosh} and \textit{J. Mohapatra}, Math. Methods Appl. Sci. 46, No. 12, 12811--12825 (2023; Zbl 07790758) Full Text: DOI
Tian, Zhikun; Chen, Yanping; Huang, Yunqing; Wang, Jianyun Two-grid mixed finite element method for two-dimensional time-dependent Schrödinger equation. (English) Zbl 1528.65083 Math. Methods Appl. Sci. 46, No. 12, 12759-12776 (2023). MSC: 65M60 65M12 35Q55 PDFBibTeX XMLCite \textit{Z. Tian} et al., Math. Methods Appl. Sci. 46, No. 12, 12759--12776 (2023; Zbl 1528.65083) Full Text: DOI
Han, Wonho; Kim, Kwangil; Hong, Unhyok Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. (English) Zbl 07790540 Appl. Math., Praha 68, No. 5, 661-684 (2023). MSC: 35F21 65M12 65M06 PDFBibTeX XMLCite \textit{W. Han} et al., Appl. Math., Praha 68, No. 5, 661--684 (2023; Zbl 07790540) Full Text: DOI
Almushaira, Mustafa Efficient eighth-order accurate energy-preserving compact difference schemes for the coupled Schrödinger-Boussinesq equations. (English) Zbl 07789827 Math. Methods Appl. Sci. 46, No. 16, 17199-17225 (2023). MSC: 65M06 35Q55 65M12 35Q35 PDFBibTeX XMLCite \textit{M. Almushaira}, Math. Methods Appl. Sci. 46, No. 16, 17199--17225 (2023; Zbl 07789827) Full Text: DOI
Bhauryal, Neeraj A finite volume scheme for fractional conservation laws driven by Lévy noise. (English) Zbl 07789237 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 601-609 (2023). MSC: 65M08 65M12 35B20 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{N. Bhauryal}, Lect. Notes Comput. Sci. 14071, 601--609 (2023; Zbl 07789237) Full Text: DOI
Bradji, Abdallah; Lesnic, Daniel Steady-state inhomogeneous diffusion with generalized oblique boundary conditions. (English) Zbl 07787594 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701-2733 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N08 65N21 65M12 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{D. Lesnic}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701--2733 (2023; Zbl 07787594) Full Text: DOI
Tang, Shujiang Adaptive symmetric flux limiters with long computation times for hyperbolic conservation laws. (English) Zbl 07786765 Results Appl. Math. 20, Article ID 100410, 22 p. (2023). MSC: 65L20 65L70 PDFBibTeX XMLCite \textit{S. Tang}, Results Appl. Math. 20, Article ID 100410, 22 p. (2023; Zbl 07786765) Full Text: DOI
Wang, Jianyun; Tian, Zhikun Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method. (English) Zbl 07786759 Results Appl. Math. 20, Article ID 100404, 9 p. (2023). MSC: 65M60 65M06 65N30 65M55 65N50 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Z. Tian}, Results Appl. Math. 20, Article ID 100404, 9 p. (2023; Zbl 07786759) Full Text: DOI
Wu, Xiaoxin; Qiu, Weifeng; Pan, Kejia An unconditionally stable and \(L^2\) optimal quadratic finite volume scheme over triangular meshes for anisotropic elliptic equations. (English) Zbl 07785129 Adv. Comput. Math. 49, No. 6, Paper No. 83, 20 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N08 65N50 65N12 65N15 41A25 PDFBibTeX XMLCite \textit{X. Wu} et al., Adv. Comput. Math. 49, No. 6, Paper No. 83, 20 p. (2023; Zbl 07785129) Full Text: DOI
Ma, Fugui; Zhao, Lijing; Wang, Yejuan; Deng, Weihua The contour integral method for Feynman-Kac equation with two internal states. (English) Zbl 07783927 Comput. Math. Appl. 151, 80-100 (2023). MSC: 44A10 26A33 65R20 65M15 65M12 PDFBibTeX XMLCite \textit{F. Ma} et al., Comput. Math. Appl. 151, 80--100 (2023; Zbl 07783927) Full Text: DOI arXiv
Gao, Guang-hua; Huang, Yu; Sun, Zhi-Zhong The compact difference approach for the fourth-order parabolic equations with the first Neumann boundary value conditions. (English) Zbl 07783885 Math. Methods Appl. Sci. 46, No. 9, 10767-10786 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., Math. Methods Appl. Sci. 46, No. 9, 10767--10786 (2023; Zbl 07783885) Full Text: DOI
Shiromani, Ram; Shanthi, Vembu; Vigo-Aguiar, J. A finite difference method for a singularly perturbed 2-D elliptic convection-diffusion PDEs on Shishkin-type meshes with non-smooth convection and source terms. (English) Zbl 07782144 Math. Methods Appl. Sci. 46, No. 5, 5915-5936 (2023). MSC: 65L12 35B20 35B25 35J25 35J40 65N06 65N12 65N15 PDFBibTeX XMLCite \textit{R. Shiromani} et al., Math. Methods Appl. Sci. 46, No. 5, 5915--5936 (2023; Zbl 07782144) Full Text: DOI
Zhou, Ziyi; Zhang, Haixiang; Yang, Xuehua The compact difference scheme for the fourth-order nonlocal evolution equation with a weakly singular kernel. (English) Zbl 07782119 Math. Methods Appl. Sci. 46, No. 5, 5422-5447 (2023). MSC: 65R20 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Math. Methods Appl. Sci. 46, No. 5, 5422--5447 (2023; Zbl 07782119) Full Text: DOI
Crozon, Thomas; Quenjel, El-Houssaine; Saad, Mazen A DDFV scheme for incompressible two-phase flow degenerate problem in porous media. (English) Zbl 07781719 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 385-393 (2023). MSC: 65M08 65M06 65N08 65M12 76S05 76T06 76M12 76M20 PDFBibTeX XMLCite \textit{T. Crozon} et al., Springer Proc. Math. Stat. 432, 385--393 (2023; Zbl 07781719) Full Text: DOI
Ait-Haddou, Rachid; Alselami, Hoda The Stenger conjectures and the \(A\)-stability of collocation Runge-Kutta methods. (English) Zbl 07781464 J. Inequal. Appl. 2023, Paper No. 107, 18 p. (2023). MSC: 65L06 65L20 33C45 PDFBibTeX XMLCite \textit{R. Ait-Haddou} and \textit{H. Alselami}, J. Inequal. Appl. 2023, Paper No. 107, 18 p. (2023; Zbl 07781464) Full Text: DOI