Wang, Ruiwen; Song, Lunji; Liu, Kaifang A new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problems. (English) Zbl 07807485 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1652-1669 (2024). MSC: 65N30 65N12 65N15 35J50 76D50 76V05 76T20 76M10 35Q35 PDFBibTeX XMLCite \textit{R. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1652--1669 (2024; Zbl 07807485) Full Text: DOI
Li, Can; Li, Min-Min; Fellah, Zine El Abiddine Local discontinuous Galerkin schemes for an ultrasonic propagation equation with fractional attenuation. (English) Zbl 07695622 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5494-5513 (2023). MSC: 65-XX 35-XX 74S25 26A33 PDFBibTeX XMLCite \textit{C. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5494--5513 (2023; Zbl 07695622) Full Text: DOI
Tian, Yan; Kong, Desong; Zhang, Zhimin Superconvergence of Legendre-Gauss-Lobatto interpolation and spectral collocation. (English) Zbl 1511.65134 Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4578-4597 (2023). MSC: 65N35 65N22 65D05 65D30 41A05 65L60 65N12 PDFBibTeX XMLCite \textit{Y. Tian} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4578--4597 (2023; Zbl 1511.65134) Full Text: DOI
Zlotnik, Alexander Conditions for \(L^2\)-dissipativity of an explicit symmetric finite-difference scheme for linearized 2D and 3D gas dynamics equations with a regularization. (English) Zbl 1502.65084 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1571-1589 (2023). MSC: 65M06 65M12 76N15 35Q35 PDFBibTeX XMLCite \textit{A. Zlotnik}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1571--1589 (2023; Zbl 1502.65084) Full Text: DOI
Zhang, Gengen Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system. (English) Zbl 1490.35464 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2587-2606 (2022). MSC: 35Q55 35Q40 81Q50 35B44 35B36 35C08 65T50 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{G. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2587--2606 (2022; Zbl 1490.35464) Full Text: DOI
Chen, Bosheng; Li, Huilai; Liu, Changchun Optimal distributed control for a coupled phase-field system. (English) Zbl 1491.49004 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1789-1825 (2022). Reviewer: Wei Gong (Beijing) MSC: 49J20 49K20 49J50 35M30 PDFBibTeX XMLCite \textit{B. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1789--1825 (2022; Zbl 1491.49004) Full Text: DOI
Wei, Leilei; He, Yinnian A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation. (English) Zbl 1476.65256 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4907-4926 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35S10 26A33 35R11 PDFBibTeX XMLCite \textit{L. Wei} and \textit{Y. He}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4907--4926 (2021; Zbl 1476.65256) Full Text: DOI arXiv
Wang, Jiangxing Convergence analysis of an accurate and efficient method for nonlinear Maxwell’s equations. (English) Zbl 1476.65254 Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2429-2440 (2021). MSC: 65M60 65M06 65N30 65M12 78A25 78M10 78M20 82D55 35Q60 PDFBibTeX XMLCite \textit{J. Wang}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2429--2440 (2021; Zbl 1476.65254) Full Text: DOI
Yang, Lei; Bao, Lianzhang Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary. (English) Zbl 1473.65126 Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 1083-1109 (2021). MSC: 65M06 65N06 35R35 35J65 35K20 35K55 35B09 35B35 92C17 92D40 35Q92 PDFBibTeX XMLCite \textit{L. Yang} and \textit{L. Bao}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 1083--1109 (2021; Zbl 1473.65126) Full Text: DOI arXiv
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin A \(C^1\) Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. (English) Zbl 1465.65128 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 81-105 (2021). MSC: 65N30 65N35 65N12 65N15 33C45 PDFBibTeX XMLCite \textit{W. Cao} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 81--105 (2021; Zbl 1465.65128) Full Text: DOI arXiv
Hu, Qingjie; Ge, Zhihao; He, Yinnian Discontinuous Galerkin method for the Helmholtz transmission problem in two-level homogeneous media. (English) Zbl 1447.65147 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 2923-2948 (2020). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N12 65N15 78A40 PDFBibTeX XMLCite \textit{Q. Hu} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 2923--2948 (2020; Zbl 1447.65147) Full Text: DOI
An, Na; Huang, Chaobao; Yu, Xijun Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution. (English) Zbl 1427.65235 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 321-334 (2020). MSC: 65M60 35R11 65M12 65M15 35Q53 65M06 PDFBibTeX XMLCite \textit{N. An} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 321--334 (2020; Zbl 1427.65235) Full Text: DOI
Baccouch, Mahboub Superconvergence of the semi-discrete local discontinuous Galerkin method for nonlinear KdV-type problems. (English) Zbl 1407.65165 Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 19-54 (2019). MSC: 65M60 65M15 65M12 65M50 65N30 65N50 65M20 PDFBibTeX XMLCite \textit{M. Baccouch}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 19--54 (2019; Zbl 1407.65165) Full Text: DOI
He, Qiaolin; Liu, Chang; Shi, Xiaoding Numerical study of phase transition in van der Waals fluid. (English) Zbl 1404.76263 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4519-4540 (2018). MSC: 76T10 76M20 35L65 65M06 65D30 PDFBibTeX XMLCite \textit{Q. He} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4519--4540 (2018; Zbl 1404.76263) Full Text: DOI
Pei, Chaoxu; Sussman, Mark; Hussaini, M. Yousuff A space-time discontinuous Galerkin spectral element method for the Stefan problem. (English) Zbl 1407.65222 Discrete Contin. Dyn. Syst., Ser. B 23, No. 9, 3595-3622 (2018). MSC: 65M70 35R37 65M60 65H10 80A22 35Q79 PDFBibTeX XMLCite \textit{C. Pei} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 9, 3595--3622 (2018; Zbl 1407.65222) Full Text: DOI
de Pinho, Maria do Rosário; Maurer, Helmut; Zidani, Hasnaa Optimal control of normalized SIMR models with vaccination and treatment. (English) Zbl 1374.49030 Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 79-99 (2018). MSC: 49K15 49N90 49M37 92C60 PDFBibTeX XMLCite \textit{M. d. R. de Pinho} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 79--99 (2018; Zbl 1374.49030) Full Text: DOI
Huo, Wenru; Huang, Aimin The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case. (English) Zbl 1352.35190 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531-2550 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q86 35R11 34D45 35B32 86A05 86A10 35D35 26A33 PDFBibTeX XMLCite \textit{W. Huo} and \textit{A. Huang}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531--2550 (2016; Zbl 1352.35190) Full Text: DOI arXiv
Ju, Lili; Liu, Xinfeng; Leng, Wei Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations. (English) Zbl 1304.65190 Discrete Contin. Dyn. Syst., Ser. B 19, No. 6, 1667-1687 (2014). MSC: 65M06 35K58 35K91 35K25 PDFBibTeX XMLCite \textit{L. Ju} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 6, 1667--1687 (2014; Zbl 1304.65190) Full Text: DOI
Kurganov, Alexander; Lukáčová-Medviďová, Mária Numerical study of two-species chemotaxis models. (English) Zbl 1282.92011 Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 131-152 (2014). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{M. Lukáčová-Medviďová}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 131--152 (2014; Zbl 1282.92011) Full Text: DOI