Fritz, Marvin; Süli, Endre; Wohlmuth, Barbara Analysis of a dilute polymer model with a time-fractional derivative. (English) Zbl 07817053 SIAM J. Math. Anal. 56, No. 2, 2063-2089 (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q84 35Q30 26A33 35R11 82D60 82C31 76A05 76D05 76T20 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{M. Fritz} et al., SIAM J. Math. Anal. 56, No. 2, 2063--2089 (2024; Zbl 07817053) Full Text: DOI arXiv
Wang, Dean On solution regularity of the two-dimensional radiation transfer equation and its implication on numerical convergence. (English) Zbl 07803547 J. Comput. Theor. Transp. 52, No. 6, 452-474 (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{D. Wang}, J. Comput. Theor. Transp. 52, No. 6, 452--474 (2023; Zbl 07803547) Full Text: DOI OA License
Yin, Daopeng; Xie, Yingying; Mei, Liquan The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation. (English) Zbl 07757635 Adv. Comput. Math. 49, No. 5, Paper No. 72, 31 p. (2023). MSC: 65M06 65N06 65M12 65M15 35B65 82D75 82M20 26A33 35R11 PDFBibTeX XMLCite \textit{D. Yin} et al., Adv. Comput. Math. 49, No. 5, Paper No. 72, 31 p. (2023; Zbl 07757635) Full Text: DOI
Cui, Mingrong An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation. (English) Zbl 07736742 Math. Comput. Simul. 213, 194-210 (2023). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{M. Cui}, Math. Comput. Simul. 213, 194--210 (2023; Zbl 07736742) Full Text: DOI
Feng, Libo; Liu, Fawang; Anh, Vo V. Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch-Torrey equation retaining Larmor precession. (English) Zbl 07700836 Math. Comput. Simul. 206, 517-537 (2023). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{L. Feng} et al., Math. Comput. Simul. 206, 517--537 (2023; Zbl 07700836) Full Text: DOI
Yu, Yue; Zhang, Jiansong; Qin, Rong The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models. (English) Zbl 07682834 J. Sci. Comput. 94, No. 2, Paper No. 33, 23 p. (2023). MSC: 82-XX 80-XX PDFBibTeX XMLCite \textit{Y. Yu} et al., J. Sci. Comput. 94, No. 2, Paper No. 33, 23 p. (2023; Zbl 07682834) Full Text: DOI
Tarasov, Vasily E. Nonlocal statistical mechanics: general fractional Liouville equations and their solutions. (English) Zbl 07642800 Physica A 609, Article ID 128366, 40 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{V. E. Tarasov}, Physica A 609, Article ID 128366, 40 p. (2023; Zbl 07642800) 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
El-Nabulsi, Rami Ahmad; Anukool, Waranont Nonlocal fractal neutrons transport equation and its implications in nuclear engineering. (English) Zbl 1524.82065 Acta Mech. 233, No. 10, 4083-4100 (2022). MSC: 82D75 28A80 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi} and \textit{W. Anukool}, Acta Mech. 233, No. 10, 4083--4100 (2022; Zbl 1524.82065) Full Text: DOI
Xie, Yingying; Yin, Daopeng; Mei, Liquan Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions. (English) Zbl 1510.82058 Appl. Math. Comput. 435, Article ID 127474, 14 p. (2022). MSC: 82M20 65M06 35R11 82D75 PDFBibTeX XMLCite \textit{Y. Xie} et al., Appl. Math. Comput. 435, Article ID 127474, 14 p. (2022; Zbl 1510.82058) Full Text: DOI
Huang, Changsheng; Chai, Zhenhua; Shi, Baochang A recursive finite-difference lattice Boltzmann model for the convection-diffusion equation with a source term. (English) Zbl 1524.76285 Appl. Math. Lett. 132, Article ID 108139, 7 p. (2022). MSC: 76M28 76D05 82C40 76M10 35Q20 76R99 PDFBibTeX XMLCite \textit{C. Huang} et al., Appl. Math. Lett. 132, Article ID 108139, 7 p. (2022; Zbl 1524.76285) Full Text: DOI
Chen, Minghua; Jiang, Suzhen; Bu, Weiping Two \(L1\) schemes on graded meshes for fractional Feynman-Kac equation. (English) Zbl 1500.65039 J. Sci. Comput. 88, No. 3, Paper No. 58, 24 p. (2021). MSC: 65M06 65M12 65M15 35B65 82C31 35Q82 26A33 35R11 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Sci. Comput. 88, No. 3, Paper No. 58, 24 p. (2021; Zbl 1500.65039) Full Text: DOI
Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas \(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models. (English) Zbl 1523.65070 Vietnam J. Math. 49, No. 3, 651-671 (2021). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65M06 65D07 65M12 35K05 35R09 82D75 PDFBibTeX XMLCite \textit{G. Bretti} et al., Vietnam J. Math. 49, No. 3, 651--671 (2021; Zbl 1523.65070) Full Text: DOI
Wang, Lei; Yang, Xuguang; Wang, Huili; Chai, Zhenhua; Wei, Zhouchao A modified regularized lattice Boltzmann model for convection-diffusion equation with a source term. (English) Zbl 1454.35303 Appl. Math. Lett. 112, Article ID 106766, 7 p. (2021). MSC: 35Q35 35Q20 76M28 82C40 35B65 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Lett. 112, Article ID 106766, 7 p. (2021; Zbl 1454.35303) Full Text: DOI
Erath, Christoph; Schorr, Robert Stable non-symmetric coupling of the finite volume method and the boundary element method for convection-dominated parabolic-elliptic interface problems. (English) Zbl 1436.65164 Comput. Methods Appl. Math. 20, No. 2, 251-272 (2020). MSC: 65N08 65N38 65N40 65N12 65N15 65M06 65N30 65M12 65M15 35B45 82B24 PDFBibTeX XMLCite \textit{C. Erath} and \textit{R. Schorr}, Comput. Methods Appl. Math. 20, No. 2, 251--272 (2020; Zbl 1436.65164) Full Text: DOI arXiv
Tian, Xiaochuan; Du, Qiang Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models. (English) Zbl 1485.65058 SIAM Rev. 62, No. 1, 199-227 (2020). MSC: 65J10 49M25 65N30 65R20 82C21 46N40 45A05 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM Rev. 62, No. 1, 199--227 (2020; Zbl 1485.65058) Full Text: DOI
Liu, Chunyan; Zheng, Liancun; Lin, Ping; Pan, Mingyang; Liu, Fawang Anomalous diffusion in rotating Casson fluid through a porous medium. (English) Zbl 07568484 Physica A 528, Article ID 121431, 12 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{C. Liu} et al., Physica A 528, Article ID 121431, 12 p. (2019; Zbl 07568484) Full Text: DOI Link
Matculevich, Svetlana; Wolfmayr, Monika On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems. (English) Zbl 1428.82048 Appl. Math. Comput. 339, 779-804 (2018). MSC: 82C31 82M10 82M99 65N30 65N15 PDFBibTeX XMLCite \textit{S. Matculevich} and \textit{M. Wolfmayr}, Appl. Math. Comput. 339, 779--804 (2018; Zbl 1428.82048) Full Text: DOI arXiv
Farrell, Patricio; Koprucki, Thomas; Fuhrmann, Jürgen Computational and analytical comparison of flux discretizations for the semiconductor device equations beyond Boltzmann statistics. (English) Zbl 1378.82030 J. Comput. Phys. 346, 497-513 (2017). MSC: 82B80 82D37 65N08 65N15 PDFBibTeX XMLCite \textit{P. Farrell} et al., J. Comput. Phys. 346, 497--513 (2017; Zbl 1378.82030) Full Text: DOI
Schroeder, Philipp W.; Lube, Gert Stabilised DG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes. (English) Zbl 1380.65286 J. Comput. Phys. 335, 760-779 (2017). MSC: 65M60 76D10 82C26 PDFBibTeX XMLCite \textit{P. W. Schroeder} and \textit{G. Lube}, J. Comput. Phys. 335, 760--779 (2017; Zbl 1380.65286) Full Text: DOI arXiv
Boyanova, P.; Neytcheva, M. Efficient numerical solution of discrete multi-component Cahn-Hilliard systems. (English) Zbl 1381.76155 Comput. Math. Appl. 67, No. 1, 106-121 (2014). MSC: 76M10 65M60 76T30 80A22 82C26 PDFBibTeX XMLCite \textit{P. Boyanova} and \textit{M. Neytcheva}, Comput. Math. Appl. 67, No. 1, 106--121 (2014; Zbl 1381.76155) Full Text: DOI
Becker, M. M.; Loffhagen, D.; Schmidt, W. A stabilized finite element method for modeling of gas discharges. (English) Zbl 1198.76061 Comput. Phys. Commun. 180, No. 8, 1230-1241 (2009). MSC: 76M10 76X05 82D10 PDFBibTeX XMLCite \textit{M. M. Becker} et al., Comput. Phys. Commun. 180, No. 8, 1230--1241 (2009; Zbl 1198.76061) Full Text: DOI
Liu, Jiangguo; Tavener, Simon; Chen, Hongsen ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. (English) Zbl 1137.82021 J. Comput. Phys. 227, No. 2, 1372-1386 (2007). Reviewer: Iván Abonyi (Budapest) MSC: 82D10 76W05 76R50 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Phys. 227, No. 2, 1372--1386 (2007; Zbl 1137.82021) Full Text: DOI
Li, Yiming A two-dimensional thin-film transistor simulation using adaptive computing technique. (English) Zbl 1106.82042 Appl. Math. Comput. 184, No. 1, 73-85 (2007). MSC: 82D37 82-08 65N30 35Q60 PDFBibTeX XMLCite \textit{Y. Li}, Appl. Math. Comput. 184, No. 1, 73--85 (2007; Zbl 1106.82042) Full Text: DOI