Kumar, Naresh; Tushar, Jai; Yuan, J. Y. Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges. (English) Zbl 07824633 Comput. Math. Appl. 159, 254-266 (2024). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{N. Kumar} et al., Comput. Math. Appl. 159, 254--266 (2024; Zbl 07824633) Full Text: DOI
Bahari, Mustapha; Quenjel, El-Houssaine; Rhoudaf, Mohamed Discrete duality finite volume scheme for a generalized Joule heating problem. (English) Zbl 07814908 Calcolo 61, No. 1, Paper No. 14, 34 p. (2024). MSC: 65M08 65M06 65N08 65N50 65M12 35K65 35K92 80A19 78A55 PDFBibTeX XMLCite \textit{M. Bahari} et al., Calcolo 61, No. 1, Paper No. 14, 34 p. (2024; Zbl 07814908) Full Text: DOI
Li, Yuan Error analysis of the linearized Crank-Nicolson FEM for the incompressible vector potential magnetohydrodynamic system. (English) Zbl 07813436 Comput. Math. Appl. 157, 65-73 (2024). MSC: 76-XX 78-XX PDFBibTeX XMLCite \textit{Y. Li}, Comput. Math. Appl. 157, 65--73 (2024; Zbl 07813436) Full Text: DOI
Liu, Sheng-en; Ge, Yongbin; Wang, Shuaikang Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations. (English) Zbl 07810006 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107797, 20 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 78A60 35Q55 35Q41 35Q60 PDFBibTeX XMLCite \textit{S.-e. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107797, 20 p. (2024; Zbl 07810006) 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
Chaumont-Frelet, Théophile; Vega, Patrick Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell’s equations. (English) Zbl 07805444 SIAM J. Numer. Anal. 62, No. 1, 400-421 (2024). MSC: 65N30 65N15 35B65 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} and \textit{P. Vega}, SIAM J. Numer. Anal. 62, No. 1, 400--421 (2024; Zbl 07805444) Full Text: DOI arXiv
Wang, Ran; Zhang, Huai; Kang, Tong A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition. (English) Zbl 07804042 Comput. Methods Appl. Math. 24, No. 1, 239-264 (2024). MSC: 35Q60 35Q79 78A30 80A19 35A01 35A02 35B07 35D30 35A15 65M60 65M20 65N30 65M12 PDFBibTeX XMLCite \textit{R. Wang} et al., Comput. Methods Appl. Math. 24, No. 1, 239--264 (2024; Zbl 07804042) Full Text: DOI
Huynh, Ngoc Mai Monica Convergence analysis for virtual element discretizations of the cardiac bidomain model. (English) Zbl 07788959 J. Sci. Comput. 98, No. 2, Paper No. 37, 25 p. (2024). MSC: 65N12 65M12 65N15 78A70 92C30 35Q92 PDFBibTeX XMLCite \textit{N. M. M. Huynh}, J. Sci. Comput. 98, No. 2, Paper No. 37, 25 p. (2024; Zbl 07788959) Full Text: DOI
Li, Hongliang; Ming, Pingbing An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers. (English) Zbl 07782664 Appl. Math. Lett. 149, Article ID 108923, 5 p. (2024). MSC: 65N30 35B25 35A15 35B65 35A01 35A02 78A30 PDFBibTeX XMLCite \textit{H. Li} and \textit{P. Ming}, Appl. Math. Lett. 149, Article ID 108923, 5 p. (2024; Zbl 07782664) Full Text: DOI
Du, Zhijie; Duan, Huoyuan Analysis of a direct discretization of the Maxwell eigenproblem. (English) Zbl 07782663 Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024). MSC: 65N25 65N30 78M10 35Q61 58A14 35A15 PDFBibTeX XMLCite \textit{Z. Du} and \textit{H. Duan}, Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024; Zbl 07782663) Full Text: DOI
Tang, Ming; Xing, Xiaoqing; Zhong, Liuqiang A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems. (English) Zbl 1522.65227 J. Comput. Appl. Math. 436, Article ID 115407, 17 p. (2024). MSC: 65N30 65N50 65N15 35A15 35B25 78A30 78M10 35Q60 PDFBibTeX XMLCite \textit{M. Tang} et al., J. Comput. Appl. Math. 436, Article ID 115407, 17 p. (2024; Zbl 1522.65227) Full Text: DOI arXiv
Wang, Tingchun; Yang, Zhuo Uniform error bound of a Crank-Nicolson-type finite difference scheme for Zakharov system in the subsonic limit regime. (English) Zbl 1528.78002 Math. Methods Appl. Sci. 46, No. 12, 12840-12866 (2023). MSC: 78A60 78M20 65M06 65M12 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Z. Yang}, Math. Methods Appl. Sci. 46, No. 12, 12840--12866 (2023; Zbl 1528.78002) Full Text: DOI
Chen, Long; Guo, Ruchi; Zou, Jun A family of immersed finite element spaces and applications to three-dimensional \(\mathbf{H}(\operatorname{curl})\) interface problems. (English) Zbl 07790223 SIAM J. Sci. Comput. 45, No. 6, A3121-A3149 (2023). MSC: 65N30 65N55 65F08 65F10 65N12 65N15 58A12 78A55 35Q61 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Sci. Comput. 45, No. 6, A3121--A3149 (2023; Zbl 07790223) Full Text: DOI arXiv
Cancès, Clément; Herda, Maxime; Massimini, Annamaria Finite volumes for a generalized Poisson-Nernst-Planck system with cross-diffusion and size exclusion. (English) Zbl 07781690 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, 57-73 (2023). MSC: 65M08 65M06 65N08 65H10 65M12 35J05 78A57 78A35 82D37 78M12 35Q60 PDFBibTeX XMLCite \textit{C. Cancès} et al., Springer Proc. Math. Stat. 432, 57--73 (2023; Zbl 07781690) Full Text: DOI
Ge, Zhihao; Pang, Jin’ge; Cao, Jiwei Multiphysics mixed finite element method with Nitsche’s technique for Stokes-poroelasticity problem. (English) Zbl 07779721 Numer. Methods Partial Differ. Equations 39, No. 1, 544-576 (2023). MSC: 65M60 65M12 65M15 76S05 74F10 74L10 35D30 35A01 35A02 78M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{Z. Ge} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 544--576 (2023; Zbl 07779721) Full Text: DOI arXiv
Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. Transformations for Piola-mapped elements. (English) Zbl 1528.65099 SMAI J. Comput. Math. 8, 399-437 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 76D07 74B10 35A15 68W30 78M10 PDFBibTeX XMLCite \textit{F. R. A. Aznaran} et al., SMAI J. Comput. Math. 8, 399--437 (2023; Zbl 1528.65099) Full Text: DOI arXiv
Benatia, Nawfel; El Kacimi, Abdellah; Laghrouche, Omar; Ratnani, Ahmed Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems. (English) Zbl 07766139 J. Sci. Comput. 97, No. 3, Paper No. 69, 38 p. (2023). MSC: 65Nxx 78Mxx 78Axx PDFBibTeX XMLCite \textit{N. Benatia} et al., J. Sci. Comput. 97, No. 3, Paper No. 69, 38 p. (2023; Zbl 07766139) Full Text: DOI
Wang, Nian; Wang, Jinfeng; Liu, Yang; Li, Hong Local discontinuous Galerkin method for a nonlocal viscous water wave model. (English) Zbl 1528.76024 Appl. Numer. Math. 192, 431-453 (2023). MSC: 76D33 78M10 65M60 PDFBibTeX XMLCite \textit{N. Wang} et al., Appl. Numer. Math. 192, 431--453 (2023; Zbl 1528.76024) Full Text: DOI
Güçlü, Yaman; Hadjout, Said; Campos Pinto, Martin A broken FEEC framework for electromagnetic problems on mapped multipatch domains. (English) Zbl 1528.65071 J. Sci. Comput. 97, No. 2, Paper No. 52, 53 p. (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65N30 65D07 65N25 78A25 78A30 58A12 35A01 35A02 35Q60 35Q61 PDFBibTeX XMLCite \textit{Y. Güçlü} et al., J. Sci. Comput. 97, No. 2, Paper No. 52, 53 p. (2023; Zbl 1528.65071) Full Text: DOI arXiv OA License
Kapidani, Bernard; Vázquez, Rafael High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations. (English) Zbl 07748040 J. Comput. Phys. 493, Article ID 112440, 19 p. (2023). MSC: 65Nxx 78Mxx 65Mxx PDFBibTeX XMLCite \textit{B. Kapidani} and \textit{R. Vázquez}, J. Comput. Phys. 493, Article ID 112440, 19 p. (2023; Zbl 07748040) Full Text: DOI arXiv
Niu, Cuixia; Ma, Heping; Liang, Dong Legendre-tau Chebyshev collocation spectral element method for Maxwell’s equations with material interfaces of two dimensional transverse magnetic mode. (English) Zbl 07741361 Comput. Math. Appl. 147, 222-238 (2023). MSC: 78M20 65M06 78A25 65M12 35Q60 PDFBibTeX XMLCite \textit{C. Niu} et al., Comput. Math. Appl. 147, 222--238 (2023; Zbl 07741361) Full Text: DOI
He, Xiao-Feng; Li, Liang; Lanteri, Stéphane; Li, Kun Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks. (English) Zbl 07733949 J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023). MSC: 65Mxx 78Mxx 65Nxx PDFBibTeX XMLCite \textit{X.-F. He} et al., J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023; Zbl 07733949) Full Text: DOI arXiv
Hu, Yu; Meir, A. J. Existence and uniqueness of solutions of the equations of quasistatic electroporoelasticity. (English) Zbl 07733941 J. Comput. Appl. Math. 431, Article ID 115256, 10 p. (2023). MSC: 35Q60 35Q74 35Q35 35Q86 78A25 74F10 74F15 74L10 74B10 76S05 76W05 86A15 35B45 35D30 35K51 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{A. J. Meir}, J. Comput. Appl. Math. 431, Article ID 115256, 10 p. (2023; Zbl 07733941) Full Text: DOI
Liu, Mingru; Huang, Pengzhan; He, Yinnian A linearized Crank-Nicolson/leapfrog scheme for the Landau-Lifshitz equation. (English) Zbl 07731148 Rocky Mt. J. Math. 53, No. 3, 821-837 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 82D40 78A25 35Q60 PDFBibTeX XMLCite \textit{M. Liu} et al., Rocky Mt. J. Math. 53, No. 3, 821--837 (2023; Zbl 07731148) Full Text: DOI Link
Liu, Nuodi; Chen, Yanping; Zhou, Jianwei; Huang, Yunqing Superconvergence analysis for time-domain Maxwell’s equations in a Havriliak-Negami dispersive medium. (English) Zbl 07727130 Appl. Math. Lett. 145, Article ID 108762, 10 p. (2023). MSC: 65Mxx 65Nxx 78Mxx PDFBibTeX XMLCite \textit{N. Liu} et al., Appl. Math. Lett. 145, Article ID 108762, 10 p. (2023; Zbl 07727130) Full Text: DOI
Naranjo-Alvarez, S.; Beirão da Veiga, L.; Bokil, V. A.; Dassi, F.; Gyrya, V.; Manzini, G. The virtual element method for a 2D incompressible MHD system. (English) Zbl 07704409 Math. Comput. Simul. 211, 301-328 (2023). MSC: 76-XX 78-XX PDFBibTeX XMLCite \textit{S. Naranjo-Alvarez} et al., Math. Comput. Simul. 211, 301--328 (2023; Zbl 07704409) Full Text: DOI
Wang, Lixiu; Zhang, Qian; Zhang, Zhimin Superconvergence analysis of curlcurl-conforming elements on rectangular meshes. (English) Zbl 1516.65141 J. Sci. Comput. 95, No. 2, Paper No. 62, 23 p. (2023). MSC: 65N30 65N12 65N15 35B45 78A46 76W05 78M10 35Q60 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Sci. Comput. 95, No. 2, Paper No. 62, 23 p. (2023; Zbl 1516.65141) Full Text: DOI
Zhou, Yu; Wu, Haijun Dispersion analysis of CIP-FEM for the Helmholtz equation. (English) Zbl 07695658 SIAM J. Numer. Anal. 61, No. 3, 1278-1292 (2023). MSC: 65N15 65N30 65N50 78A60 35J05 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Wu}, SIAM J. Numer. Anal. 61, No. 3, 1278--1292 (2023; Zbl 07695658) Full Text: DOI arXiv
Singh, Deeksha; Pandey, Rajesh K.; Kumari, Sarita A fourth order accurate numerical method for non-linear time fractional reaction-diffusion equation on a bounded domain. (English) Zbl 07695162 Physica D 449, Article ID 133742, 11 p. (2023). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{D. Singh} et al., Physica D 449, Article ID 133742, 11 p. (2023; Zbl 07695162) Full Text: DOI
Xie, Yingying; Zhong, Liuqiang; Tang, Ming A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems. (English) Zbl 07692001 Comput. Math. Appl. 142, 307-321 (2023). MSC: 65N30 65N15 65N12 78M10 35J25 PDFBibTeX XMLCite \textit{Y. Xie} et al., Comput. Math. Appl. 142, 307--321 (2023; Zbl 07692001) Full Text: DOI
Li, Jichun; Zhu, Li; Arbogast, Todd A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets. (English) Zbl 07691998 Comput. Math. Appl. 142, 268-282 (2023). MSC: 78M10 78M20 65N30 35Q61 65M06 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 142, 268--282 (2023; Zbl 07691998) Full Text: DOI
Quan M. Nguyen; Toan T. Huynh Spatiotemporal soliton interaction of saturable nonlinear Schrödinger equations in spatial dimensions higher than 1. (English) Zbl 1514.35095 Acta Math. Vietnam. 48, No. 1, 193-208 (2023). MSC: 35C08 35Q55 78A40 PDFBibTeX XMLCite \textit{Quan M. Nguyen} and \textit{Toan T. Huynh}, Acta Math. Vietnam. 48, No. 1, 193--208 (2023; Zbl 1514.35095) Full Text: DOI
Ziegler, Anna; Merkel, Melina; Gangl, Peter; Schöps, Sebastian On the computation of analytic sensitivities of eigenpairs in isogeometric analysis. (English) Zbl 07682847 Comput. Methods Appl. Mech. Eng. 409, Article ID 115961, 19 p. (2023). MSC: 78-XX 81-XX PDFBibTeX XMLCite \textit{A. Ziegler} et al., Comput. Methods Appl. Mech. Eng. 409, Article ID 115961, 19 p. (2023; Zbl 07682847) Full Text: DOI arXiv
Carter, John; Han, Daozhi; Jiang, Nan Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. (English) Zbl 07682842 J. Sci. Comput. 94, No. 2, Paper No. 41, 29 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76D05 78A25 35Q35 35Q61 PDFBibTeX XMLCite \textit{J. Carter} et al., J. Sci. Comput. 94, No. 2, Paper No. 41, 29 p. (2023; Zbl 07682842) Full Text: DOI arXiv
Daveau, Christian; Aubakirov, Abil; Oueslati, Soumaya; Carre, Corentin Boundary element method with high order impedance boundary condition for Maxwell’s equations. (English) Zbl 1510.78061 Appl. Math. Modelling 118, 53-70 (2023). MSC: 78M15 65N38 65R20 78A45 PDFBibTeX XMLCite \textit{C. Daveau} et al., Appl. Math. Modelling 118, 53--70 (2023; Zbl 1510.78061) Full Text: DOI
Cheng, Qing; Shen, Jie Length preserving numerical schemes for Landau-Lifshitz equation based on Lagrange multiplier approaches. (English) Zbl 1512.65227 SIAM J. Sci. Comput. 45, No. 2, A530-A553 (2023). MSC: 65M70 65M06 65N35 65N22 65N12 35K61 78A25 82D40 PDFBibTeX XMLCite \textit{Q. Cheng} and \textit{J. Shen}, SIAM J. Sci. Comput. 45, No. 2, A530--A553 (2023; Zbl 1512.65227) Full Text: DOI arXiv
Dong, Shitian; Zhang, Xiaodi; Su, Haiyan Electric potential-robust iterative analysis of charge-conservative conforming FEM for thermally coupled inductionless MHD system. (English) Zbl 1512.78006 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107182, 22 p. (2023). MSC: 78A30 76W05 80A19 78M10 76M10 65N30 65N12 65N15 65H10 35Q35 35Q60 PDFBibTeX XMLCite \textit{S. Dong} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107182, 22 p. (2023; Zbl 1512.78006) Full Text: DOI
Dang, Thuyen; Gorb, Yuliya; Jiménez Bolaños, Silvia Homogenization of a nonlinear strongly coupled model of magnetorheological fluids. (English) Zbl 1515.35035 SIAM J. Math. Anal. 55, No. 1, 102-132 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35Q30 74E30 74F10 76M50 78M40 PDFBibTeX XMLCite \textit{T. Dang} et al., SIAM J. Math. Anal. 55, No. 1, 102--132 (2023; Zbl 1515.35035) Full Text: DOI arXiv
Gallistl, Dietmar; Olkhovskiy, Vladislav Computational lower bounds of the Maxwell eigenvalues. (English) Zbl 1518.35581 SIAM J. Numer. Anal. 61, No. 2, 539-561 (2023). MSC: 35Q61 65N30 65N25 65N12 65N15 44A10 78M10 PDFBibTeX XMLCite \textit{D. Gallistl} and \textit{V. Olkhovskiy}, SIAM J. Numer. Anal. 61, No. 2, 539--561 (2023; Zbl 1518.35581) Full Text: DOI arXiv
Cancès, Clément; Venel, Juliette On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations. (English) Zbl 1507.65148 C. R., Math., Acad. Sci. Paris 361, 535-558 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65H10 60J76 35K51 78A57 76R50 35Q84 PDFBibTeX XMLCite \textit{C. Cancès} and \textit{J. Venel}, C. R., Math., Acad. Sci. Paris 361, 535--558 (2023; Zbl 1507.65148) Full Text: DOI arXiv
Duan, Songyao; Wu, Haijun Adaptive FEM for Helmholtz equation with large wavenumber. (English) Zbl 1504.65253 J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023). MSC: 65N30 65N12 65N15 35J05 78A40 PDFBibTeX XMLCite \textit{S. Duan} and \textit{H. Wu}, J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023; Zbl 1504.65253) Full Text: DOI arXiv
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI
Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. (English) Zbl 1502.65072 J. Comput. Appl. Math. 419, Article ID 114721, 30 p. (2023). MSC: 65M06 65N06 65M12 80A19 78A60 74F05 74K35 82D80 26A33 35R11 80M20 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Comput. Appl. Math. 419, Article ID 114721, 30 p. (2023; Zbl 1502.65072) Full Text: DOI
Peng, Gang; Gao, Zhiming; Feng, Xinlong An extremum-preserving finite volume scheme for three-temperature radiation diffusion equations. (English) Zbl 07780842 Math. Methods Appl. Sci. 45, No. 8, 4643-4660 (2022). MSC: 76M12 76R50 65M08 78A40 PDFBibTeX XMLCite \textit{G. Peng} et al., Math. Methods Appl. Sci. 45, No. 8, 4643--4660 (2022; Zbl 07780842) Full Text: DOI
Oruç, Ömer Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. (English) Zbl 07778285 Numer. Methods Partial Differ. Equations 38, No. 4, 1068-1089 (2022). MSC: 65M70 65M06 65L06 65N35 65D05 35A24 35R09 78A35 78A25 82D10 35Q60 35Q55 35Q53 PDFBibTeX XMLCite \textit{Ö. Oruç}, Numer. Methods Partial Differ. Equations 38, No. 4, 1068--1089 (2022; Zbl 07778285) Full Text: DOI
Zubair, Tamour; Usman, Muhammad A semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on circular polarization and Landau damping instability. (English) Zbl 07778280 Numer. Methods Partial Differ. Equations 38, No. 4, 947-969 (2022). MSC: 65M06 65N35 65M12 78A35 78A60 33C45 82D10 26A33 35R11 35Q83 35Q60 PDFBibTeX XMLCite \textit{T. Zubair} and \textit{M. Usman}, Numer. Methods Partial Differ. Equations 38, No. 4, 947--969 (2022; Zbl 07778280) Full Text: DOI
Bian, Shasha; Pei, Yitong; Guo, Boling Numerical simulation of a generalized nonlinear derivative Schrödinger equation. (English) Zbl 1512.78027 Electron. Res. Arch. 30, No. 8, 3130-3152 (2022). MSC: 78A60 35Q55 35Q41 35C08 78M20 65M06 65M12 41A25 PDFBibTeX XMLCite \textit{S. Bian} et al., Electron. Res. Arch. 30, No. 8, 3130--3152 (2022; Zbl 1512.78027) Full Text: DOI
Durur, Hülya; Yokuş, Asıf Discussions on diffraction and the dispersion for traveling wave solutions of the (2+1)-dimensional paraxial wave equation. (English) Zbl 1510.35107 Math. Sci., Springer 16, No. 3, 269-279 (2022). MSC: 35C08 35R11 78A60 35Q55 PDFBibTeX XMLCite \textit{H. Durur} and \textit{A. Yokuş}, Math. Sci., Springer 16, No. 3, 269--279 (2022; Zbl 1510.35107) Full Text: DOI
La Spina, Andrea; Fish, Jacob Time- and frequency-domain hybridizable discontinuous Galerkin solvers for the calculation of the Cherenkov radiation. (English) Zbl 1507.78022 Comput. Methods Appl. Mech. Eng. 402, Article ID 115170, 25 p. (2022). MSC: 78M10 78A40 PDFBibTeX XMLCite \textit{A. La Spina} and \textit{J. Fish}, Comput. Methods Appl. Mech. Eng. 402, Article ID 115170, 25 p. (2022; Zbl 1507.78022) Full Text: DOI
Wu, Chao; Huang, Yunqing; Yi, Nianyu; Wei, Huayi; Yuan, Jinyun Function and curl recovery for the lowest order triangular edge element. (English) Zbl 1504.35529 J. Sci. Comput. 93, No. 3, Paper No. 69, 20 p. (2022). MSC: 35Q60 78A25 65N30 65K10 65N12 65N15 78M10 PDFBibTeX XMLCite \textit{C. Wu} et al., J. Sci. Comput. 93, No. 3, Paper No. 69, 20 p. (2022; Zbl 1504.35529) Full Text: DOI
Vélez Salazar, Fabián Mauricio; Patiño Arcila, Iván David; Ruiz Villa, Carlos Alberto; Hernández-Blanquisett, Abraham In-silico study about the influence of electroporation parameters on the chemotherapeutic drug transport in cancer tissues using the meshless method of approximate particular solutions. (English) Zbl 1524.65914 Comput. Math. Appl. 125, 116-135 (2022). MSC: 65N38 74S15 41A63 74K15 92C45 92C37 92C40 78A70 35Q92 PDFBibTeX XMLCite \textit{F. M. Vélez Salazar} et al., Comput. Math. Appl. 125, 116--135 (2022; Zbl 1524.65914) Full Text: DOI
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016 Eng. Anal. Bound. Elem. 143, 397-417 (2022). MSC: 78M10 65M70 35D35 65D12 78A25 86A10 PDFBibTeX XMLCite \textit{A. Ebrahimijahan} et al., Eng. Anal. Bound. Elem. 143, 397--417 (2022; Zbl 1521.78016) Full Text: DOI
Bahramifar, Saeed; Mossaiby, Farshid; Haftbaradaran, Hamed A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models. (English) Zbl 1524.65701 Comput. Math. Appl. 124, 163-187 (2022). MSC: 65M99 65M12 65M06 65H10 35J05 78A57 35A30 PDFBibTeX XMLCite \textit{S. Bahramifar} et al., Comput. Math. Appl. 124, 163--187 (2022; Zbl 1524.65701) Full Text: DOI
Huang, Yunqing; Li, Jichun; Yang, Wei Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber. (English) Zbl 1524.78077 Comput. Math. Appl. 122, 76-92 (2022). MSC: 78M10 78M20 65N30 65M60 35Q61 65M06 82D80 78A40 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Math. Appl. 122, 76--92 (2022; Zbl 1524.78077) Full Text: DOI
Freese, Philip The heterogeneous multiscale method for dispersive Maxwell systems. (English) Zbl 1493.65150 Multiscale Model. Simul. 20, No. 2, 769-797 (2022). MSC: 65M60 78M40 35B27 65M12 65M15 PDFBibTeX XMLCite \textit{P. Freese}, Multiscale Model. Simul. 20, No. 2, 769--797 (2022; Zbl 1493.65150) Full Text: DOI arXiv
Bao, Shuxin; Chen, Shuangqing Exact solutions and dynamic properties of the perturbed nonlinear Schrödinger equation with conformable fractional derivatives arising in nanooptical fibers. (English) Zbl 1496.35352 Adv. Math. Phys. 2022, Article ID 3596620, 8 p. (2022). MSC: 35Q55 78A60 35C07 35C08 35B10 35B32 26A33 35R11 PDFBibTeX XMLCite \textit{S. Bao} and \textit{S. Chen}, Adv. Math. Phys. 2022, Article ID 3596620, 8 p. (2022; Zbl 1496.35352) Full Text: DOI
Yang, Huaijun; Shi, Dongyang Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation. (English) Zbl 1502.65151 Appl. Numer. Math. 181, 403-416 (2022). MSC: 65M60 65M06 65N30 65M15 65M12 35R09 45K05 78A25 78M10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Appl. Numer. Math. 181, 403--416 (2022; Zbl 1502.65151) Full Text: DOI
Hu, Shuaifei; Zhao, Guomei; An, Rong Temporal convergence of extrapolated BDF-2 scheme for the Maxwell-Landau-Lifshitz equations. (English) Zbl 1524.65549 Comput. Math. Appl. 119, 278-287 (2022). MSC: 65M60 35Q60 78M10 65N30 65M12 65B05 65M06 65M15 35K55 PDFBibTeX XMLCite \textit{S. Hu} et al., Comput. Math. Appl. 119, 278--287 (2022; Zbl 1524.65549) Full Text: DOI
Daveau, Christian; Aubkirov, Abil; Soudais, Paul Boundary element method with high order impedance boundary conditions in electromagnetics. (English) Zbl 1513.65517 Int. J. Numer. Anal. Model. 19, No. 4, 458-486 (2022). MSC: 65R20 65N38 78A45 PDFBibTeX XMLCite \textit{C. Daveau} et al., Int. J. Numer. Anal. Model. 19, No. 4, 458--486 (2022; Zbl 1513.65517) Full Text: Link
Hong, Xiao; Nasution, Mahyuddin K. M.; Ilhan, Onur Alp; Manafian, Jalil; Abotaleb, Mostafa Nonlinear spin dynamics of a couple of nonlinear Schrödinger’s equations by the improved form of an analytical method. (English) Zbl 07563026 Int. J. Comput. Math. 99, No. 7, 1438-1461 (2022). MSC: 35Q55 35C08 76X05 82D40 82D10 68W30 78A30 PDFBibTeX XMLCite \textit{X. Hong} et al., Int. J. Comput. Math. 99, No. 7, 1438--1461 (2022; Zbl 07563026) Full Text: DOI
Creusé, Emmanuel; Nicaise, Serge; Sabariego, Ruth V. Existence results for the \(\mathbf{A}-\varphi-\mathbf{B}\) magnetodynamic formulation of the Maxwell system with skin and proximity effects. (English) Zbl 1504.35519 Appl. Anal. 101, No. 8, 3103-3121 (2022). MSC: 35Q60 78A25 78A55 35D30 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{E. Creusé} et al., Appl. Anal. 101, No. 8, 3103--3121 (2022; Zbl 1504.35519) Full Text: DOI
Li, Jichun; Zhu, Li Analysis and application of a spatial fourth-order finite difference scheme for the Ziolkowski’s PML model. (English) Zbl 07540377 J. Comput. Phys. 464, Article ID 111350, 19 p. (2022). MSC: 78M20 35Q61 65M06 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Zhu}, J. Comput. Phys. 464, Article ID 111350, 19 p. (2022; Zbl 07540377) Full Text: DOI
Li, Jichun; Zhu, Li Analysis and FDTD simulation of a perfectly matched layer for the Drude metamaterial. (English) Zbl 1499.65404 Ann. Appl. Math. 38, No. 2, 159-182 (2022). MSC: 65M06 65N06 78A25 78M20 35Q61 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Zhu}, Ann. Appl. Math. 38, No. 2, 159--182 (2022; Zbl 1499.65404) Full Text: DOI
Pathak, Maheshwar; Joshi, Pratibha; Nisar, Kottakkaran Sooppy Numerical study of generalized 2-D nonlinear Schrödinger equation using Kansa method. (English) Zbl 07538484 Math. Comput. Simul. 200, 186-198 (2022). MSC: 78-XX 65-XX PDFBibTeX XMLCite \textit{M. Pathak} et al., Math. Comput. Simul. 200, 186--198 (2022; Zbl 07538484) Full Text: DOI
Hensel, Maurice; Yousept, Irwin Numerical analysis for Maxwell obstacle problems in electric shielding. (English) Zbl 1491.65094 SIAM J. Numer. Anal. 60, No. 3, 1083-1110 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M12 35L85 78M30 78M10 78M20 PDFBibTeX XMLCite \textit{M. Hensel} and \textit{I. Yousept}, SIAM J. Numer. Anal. 60, No. 3, 1083--1110 (2022; Zbl 1491.65094) Full Text: DOI
Gaudeul, Benoît; Fuhrmann, Jürgen Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints. (English) Zbl 1493.65139 Numer. Math. 151, No. 1, 99-149 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 78A57 65N08 35Q81 35Q60 PDFBibTeX XMLCite \textit{B. Gaudeul} and \textit{J. Fuhrmann}, Numer. Math. 151, No. 1, 99--149 (2022; Zbl 1493.65139) Full Text: DOI
Kapidani, Bernard; Merkel, Melina; Schöps, Sebastian; Vázquez, Rafael Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains. (English) Zbl 1507.78021 Comput. Methods Appl. Mech. Eng. 395, Article ID 114949, 21 p. (2022). MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{B. Kapidani} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114949, 21 p. (2022; Zbl 1507.78021) Full Text: DOI arXiv
Xia, Qing; Banks, Jeffrey W.; Henshaw, William D.; Kildishev, Alexander V.; Kovačič, Gregor; Prokopeva, Ludmila J.; Schwendeman, Donald W. High-order accurate schemes for Maxwell’s equations with nonlinear active media and material interfaces. (English) Zbl 07518116 J. Comput. Phys. 456, Article ID 111051, 24 p. (2022). MSC: 78Axx 78Mxx 65Mxx PDFBibTeX XMLCite \textit{Q. Xia} et al., J. Comput. Phys. 456, Article ID 111051, 24 p. (2022; Zbl 07518116) Full Text: DOI arXiv
Zhang, Licheng; Kang, Tong; Huang, Yuan; Wang, Ran Solvability analysis of a magneto-heat coupling magnetization model for ferromagnetic materials. (English) Zbl 1499.35364 Comput. Appl. Math. 41, No. 1, Paper No. 59, 30 p. (2022). MSC: 35K61 35Q61 35Q79 65M12 78A25 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Appl. Math. 41, No. 1, Paper No. 59, 30 p. (2022; Zbl 1499.35364) Full Text: DOI
Ahmed, Tazuddin; Dutta, Jogen Finite element method for hyperbolic heat conduction model with discontinuous coefficients in one dimension. (English) Zbl 1490.65188 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 6, 21 p. (2022). MSC: 65M60 65M12 65M15 78M30 PDFBibTeX XMLCite \textit{T. Ahmed} and \textit{J. Dutta}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 6, 21 p. (2022; Zbl 1490.65188) Full Text: DOI
Niu, Cuixia; Ma, Heping A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves. (English) Zbl 1483.78006 Appl. Math. Lett. 128, Article ID 107906, 8 p. (2022). MSC: 78M22 78A25 78A40 65N35 65L06 44A15 42C10 35Q60 PDFBibTeX XMLCite \textit{C. Niu} and \textit{H. Ma}, Appl. Math. Lett. 128, Article ID 107906, 8 p. (2022; Zbl 1483.78006) Full Text: DOI
Zhong, Liuqiang; Qiu, Dongxue; Peng, Jie Two-level iterative algorithms for two-dimensional \(H(\mathrm{curl})\)-elliptic problem with a symmetry interior penalty discontinuous Galerkin method. (English) Zbl 1493.65244 Appl. Math. Lett. 127, Article ID 107821, 5 p. (2022). MSC: 65N30 65N55 65N15 78A25 78M10 PDFBibTeX XMLCite \textit{L. Zhong} et al., Appl. Math. Lett. 127, Article ID 107821, 5 p. (2022; Zbl 1493.65244) Full Text: DOI
Faheem, Mo; Khan, Arshad; Raza, Akmal A high resolution Hermite wavelet technique for solving space-time-fractional partial differential equations. (English) Zbl 07478816 Math. Comput. Simul. 194, 588-609 (2022). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{M. Faheem} et al., Math. Comput. Simul. 194, 588--609 (2022; Zbl 07478816) Full Text: DOI
Casati, Daniele; Codecasa, Lorenzo; Hiptmair, Ralf; Moro, Federico Trefftz co-chain calculus. (English) Zbl 1489.65156 Z. Angew. Math. Phys. 73, No. 1, Paper No. 43, 22 p. (2022). MSC: 65N30 65N80 78A25 35Q61 78M10 PDFBibTeX XMLCite \textit{D. Casati} et al., Z. Angew. Math. Phys. 73, No. 1, Paper No. 43, 22 p. (2022; Zbl 1489.65156) Full Text: DOI
Lafontaine, D.; Spence, E. A.; Wunsch, J. A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency. (English) Zbl 1481.35136 Numer. Math. 150, No. 1, 137-178 (2022). MSC: 35J05 65N15 65N30 78A45 PDFBibTeX XMLCite \textit{D. Lafontaine} et al., Numer. Math. 150, No. 1, 137--178 (2022; Zbl 1481.35136) Full Text: DOI arXiv
Hao, Yongle; Liu, Siyu; Wang, Lin Numerical solutions for Helmholtz equation with stochastic interface based on PML method. (English) Zbl 1479.78012 J. Comput. Appl. Math. 404, Article ID 113877, 12 p. (2022). MSC: 78A45 78M10 78M31 65N30 65N50 65C05 65N15 35A15 35B25 35J05 35Q60 35R60 PDFBibTeX XMLCite \textit{Y. Hao} et al., J. Comput. Appl. Math. 404, Article ID 113877, 12 p. (2022; Zbl 1479.78012) Full Text: DOI
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa Numerical and theoretical discussions for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation based on the Legendre spectral element method. (English) Zbl 07777701 Numer. Methods Partial Differ. Equations 37, No. 1, 360-382 (2021). MSC: 65M06 65N35 65D32 65M15 78A60 76Q05 76N30 76X05 35Q60 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 360--382 (2021; Zbl 07777701) Full Text: DOI
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen A positive cell vertex Godunov scheme for a Beeler-Reuter based model of cardiac electrical activity. (English) Zbl 07777698 Numer. Methods Partial Differ. Equations 37, No. 1, 262-301 (2021). MSC: 65M08 65M60 65N08 65N30 65M06 65M12 65M15 92C30 78A70 35D30 35A01 35Q92 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 262--301 (2021; Zbl 07777698) Full Text: DOI
Riesch, Michael; Jirauschek, Christian mbsolve: an open-source solver tool for the Maxwell-Bloch equations. (English) Zbl 1520.78044 Comput. Phys. Commun. 268, Article ID 108097, 16 p. (2021). MSC: 78A60 78A40 78-04 65Y05 82C10 35Q60 35Q82 PDFBibTeX XMLCite \textit{M. Riesch} and \textit{C. Jirauschek}, Comput. Phys. Commun. 268, Article ID 108097, 16 p. (2021; Zbl 1520.78044) Full Text: DOI arXiv
Wang, Ran; Zhang, Huai; Kang, Tong \(A\)-\(\phi\) decoupled finite element scheme for eddy current equations with a nonlinear boundary condition. (Chinese. English summary) Zbl 1513.65387 Math. Numer. Sin. 43, No. 1, 33-55 (2021). MSC: 65M60 65M15 78M10 35Q60 PDFBibTeX XMLCite \textit{R. Wang} et al., Math. Numer. Sin. 43, No. 1, 33--55 (2021; Zbl 1513.65387) Full Text: DOI
Liao, Hui-qing; Fu, Ying; Ma, He-ping A space-time spectral method for the 1-D Maxwell equation. (English) Zbl 1484.65262 AIMS Math. 6, No. 7, 7649-7668 (2021). MSC: 65M70 35Q61 65M15 78M22 PDFBibTeX XMLCite \textit{H.-q. Liao} et al., AIMS Math. 6, No. 7, 7649--7668 (2021; Zbl 1484.65262) Full Text: DOI
Huang, Yunqing; Li, Jichun; He, Bin A time-domain finite element scheme and its analysis for nonlinear Maxwell’s equations in Kerr media. (English) Zbl 07503732 J. Comput. Phys. 435, Article ID 110259, 18 p. (2021). MSC: 78Mxx 78Axx 65Mxx PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Comput. Phys. 435, Article ID 110259, 18 p. (2021; Zbl 07503732) Full Text: DOI
Kapidani, Bernard; Codecasa, Lorenzo; Schöberl, Joachim An arbitrary-order cell method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations. (English) Zbl 1515.65245 J. Comput. Phys. 433, Article ID 110184, 20 p. (2021). MSC: 65M60 78M10 35Q61 78A25 PDFBibTeX XMLCite \textit{B. Kapidani} et al., J. Comput. Phys. 433, Article ID 110184, 20 p. (2021; Zbl 1515.65245) Full Text: DOI arXiv
Hu, Dongdong; Cai, Wenjun; Xu, Zhuangzhi; Bo, Yonghui; Wang, Yushun Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. (English) Zbl 07428987 Math. Comput. Simul. 188, 35-59 (2021). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{D. Hu} et al., Math. Comput. Simul. 188, 35--59 (2021; Zbl 07428987) Full Text: DOI
Huynh, Toan T.; Nguyen, Quan M. Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation. (English) Zbl 1481.35114 Appl. Math. Modelling 97, 650-665 (2021). MSC: 35C08 78A60 81Q80 PDFBibTeX XMLCite \textit{T. T. Huynh} and \textit{Q. M. Nguyen}, Appl. Math. Modelling 97, 650--665 (2021; Zbl 1481.35114) Full Text: DOI
Abdelkawy, M. A.; Ezz-Eldien, S. S.; Biswas, A.; Alzahrani, A. Kamis; Belic, M. R. Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches. (English) Zbl 1478.78053 Comput. Math. Math. Phys. 61, No. 9, 1432-1443 (2021). MSC: 78A60 35Q55 35Q41 35C08 78M22 65M70 65N35 33C45 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Comput. Math. Math. Phys. 61, No. 9, 1432--1443 (2021; Zbl 1478.78053) Full Text: DOI
Villa, Andrea; Barbieri, Luca; Malgesini, Roberto; Buccella, Giacomo Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulations. (English) Zbl 1510.76093 Appl. Math. Comput. 403, Article ID 126179, 17 p. (2021). MSC: 76M10 76X05 65N30 35J47 78M10 PDFBibTeX XMLCite \textit{A. Villa} et al., Appl. Math. Comput. 403, Article ID 126179, 17 p. (2021; Zbl 1510.76093) Full Text: DOI
Wu, Yanmi; Shi, Dongyang Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart scheme for the fourth order singularly perturbed bi-wave problem modeling \(d\)-wave superconductors. (English) Zbl 1508.35176 Appl. Math. Comput. 397, Article ID 125924, 15 p. (2021). MSC: 35Q60 78M10 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{D. Shi}, Appl. Math. Comput. 397, Article ID 125924, 15 p. (2021; Zbl 1508.35176) Full Text: DOI
Correggi, Michele; Giacomelli, Emanuela L. Effects of corners in surface superconductivity. (English) Zbl 1477.35251 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 236, 57 p. (2021). MSC: 35Q56 82D55 78A25 35B40 35A01 35A02 35R09 PDFBibTeX XMLCite \textit{M. Correggi} and \textit{E. L. Giacomelli}, Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 236, 57 p. (2021; Zbl 1477.35251) Full Text: DOI arXiv
Liu, Yang; Shu, Shi; Wei, Huayi; Yang, Ying A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes. (English) Zbl 1524.65838 Comput. Math. Appl. 102, 95-112 (2021). MSC: 65N30 65N12 65N15 35Q60 78A57 78A35 82D37 92C40 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 102, 95--112 (2021; Zbl 1524.65838) Full Text: DOI
Correggi, Michele; Giacomelli, Emanuela L. Almost flat angles in surface superconductivity. (English) Zbl 1479.35832 Nonlinearity 34, No. 11, 7633-7661 (2021). MSC: 35Q56 35B40 78A25 82D55 35R09 PDFBibTeX XMLCite \textit{M. Correggi} and \textit{E. L. Giacomelli}, Nonlinearity 34, No. 11, 7633--7661 (2021; Zbl 1479.35832) Full Text: DOI arXiv
Cheng, Xiujun; Yan, Xiaoqiang; Qin, Hongyu; Wang, Huiru Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator. (English) Zbl 1524.65326 Comput. Math. Appl. 100, 74-82 (2021). MSC: 65M06 65M12 35Q55 65P10 35Q41 35B05 78A60 35Q60 78M20 PDFBibTeX XMLCite \textit{X. Cheng} et al., Comput. Math. Appl. 100, 74--82 (2021; Zbl 1524.65326) Full Text: DOI
Bai, Xixian; Rui, Hongxing New energy analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes. (English) Zbl 1488.65221 Adv. Appl. Math. Mech. 13, No. 6, 1355-1383 (2021). MSC: 65M06 65M12 35L15 78A48 35Q60 35B35 78M20 PDFBibTeX XMLCite \textit{X. Bai} and \textit{H. Rui}, Adv. Appl. Math. Mech. 13, No. 6, 1355--1383 (2021; Zbl 1488.65221) Full Text: DOI
Yao, Changhui; Li, Yanfei Modified two-grid algorithm for nonlinear power-law conductivity in Maxwell’s problems with high accuracy. (English) Zbl 1488.65480 Adv. Appl. Math. Mech. 13, No. 2, 481-502 (2021). MSC: 65M60 65M06 65N30 65N12 65M15 65M55 65D05 41A58 78A25 78M10 78M20 35Q61 PDFBibTeX XMLCite \textit{C. Yao} and \textit{Y. Li}, Adv. Appl. Math. Mech. 13, No. 2, 481--502 (2021; Zbl 1488.65480) Full Text: DOI
Manchanda, Geetan; Mohanty, R. K.; Khan, Arshad A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems. (English) Zbl 1480.65314 J. Difference Equ. Appl. 27, No. 4, 531-556 (2021). MSC: 65N06 65N12 35J60 76R50 76D06 78A30 35Q53 PDFBibTeX XMLCite \textit{G. Manchanda} et al., J. Difference Equ. Appl. 27, No. 4, 531--556 (2021; Zbl 1480.65314) Full Text: DOI
Zhang, Xiaodi; Ding, Qianqian Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method. (English) Zbl 1491.65154 J. Sci. Comput. 88, No. 2, Paper No. 39, 32 p. (2021). MSC: 65N30 65N12 65N15 35A01 35A02 76W05 76D05 78A25 76M10 35Q30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Q. Ding}, J. Sci. Comput. 88, No. 2, Paper No. 39, 32 p. (2021; Zbl 1491.65154) Full Text: DOI
Kress, Rainer The DB boundary condition in electromagnetic scattering revisited. (English) Zbl 1471.35097 SIAM J. Math. Anal. 53, No. 3, 3661-3680 (2021). MSC: 35J05 35P25 35R30 45A05 78A40 PDFBibTeX XMLCite \textit{R. Kress}, SIAM J. Math. Anal. 53, No. 3, 3661--3680 (2021; Zbl 1471.35097) Full Text: DOI
Han, Daoru; He, Xiaoming; Lund, David; Zhang, Xu PIFE-PIC: parallel immersed finite element particle-in-cell for 3-D kinetic simulations of plasma-material interactions. (English) Zbl 1483.65199 SIAM J. Sci. Comput. 43, No. 3, C235-C257 (2021). Reviewer: Eric Chung (Hong Kong) MSC: 65N55 65N30 65N75 35R05 65Y05 78A30 82D10 85A99 65-04 PDFBibTeX XMLCite \textit{D. Han} et al., SIAM J. Sci. Comput. 43, No. 3, C235--C257 (2021; Zbl 1483.65199) Full Text: DOI arXiv
Henneking, S.; Demkowicz, L. A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. (English) Zbl 1524.65812 Comput. Math. Appl. 95, 85-100 (2021). MSC: 65N30 35J05 65N12 65N15 78A50 78A25 35Q60 65N50 65Y05 PDFBibTeX XMLCite \textit{S. Henneking} and \textit{L. Demkowicz}, Comput. Math. Appl. 95, 85--100 (2021; Zbl 1524.65812) Full Text: DOI arXiv
An, Rong; Gao, Huadong; Sun, Weiwei Optimal error analysis of Euler and Crank-Nicolson projection finite difference schemes for Landau-Lifshitz equation. (English) Zbl 1481.65119 SIAM J. Numer. Anal. 59, No. 3, 1639-1662 (2021). Reviewer: Song Jiang (Beijing) MSC: 65M06 65M12 65M15 65M30 35K61 78A25 78M20 82D40 35Q60 PDFBibTeX XMLCite \textit{R. An} et al., SIAM J. Numer. Anal. 59, No. 3, 1639--1662 (2021; Zbl 1481.65119) Full Text: DOI