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
Gu, Anjiao; He, Yang; Sun, Yajuan Hamiltonian particle-in-cell methods for Vlasov-Poisson equations. (English) Zbl 07568566 J. Comput. Phys. 467, Article ID 111472, 20 p. (2022). MSC: 35Qxx 65Mxx 82Cxx PDFBibTeX XMLCite \textit{A. Gu} et al., J. Comput. Phys. 467, Article ID 111472, 20 p. (2022; Zbl 07568566) Full Text: DOI arXiv
Zubair, Tamour; Usman, Muhammad; Khan, Ilyas; Hamadneh, Nawaf N.; Lu, Tiao; Andualem, Mulugeta Higher-order accurate and conservative hybrid numerical scheme for relativistic time-fractional Vlasov-Maxwell system. (English) Zbl 07525279 J. Funct. Spaces 2022, Article ID 7046579, 12 p. (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{T. Zubair} et al., J. Funct. Spaces 2022, Article ID 7046579, 12 p. (2022; Zbl 07525279) Full Text: DOI
Muralikrishnan, Sriramkrishnan; Cerfon, Antoine J.; Frey, Matthias; Ricketson, Lee F.; Adelmann, Andreas Sparse grid-based adaptive noise reduction strategy for particle-in-cell schemes. (English) Zbl 07785556 J. Comput. Phys.: X 11, Article ID 100094, 31 p. (2021). MSC: 65Nxx 76Mxx 76Xxx PDFBibTeX XMLCite \textit{S. Muralikrishnan} et al., J. Comput. Phys.: X 11, Article ID 100094, 31 p. (2021; Zbl 07785556) Full Text: DOI arXiv
Li, Ruo; Ren, Yinuo; Wang, Yanli Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma. (English) Zbl 07508535 J. Comput. Phys. 434, Article ID 110235, 22 p. (2021). MSC: 65Mxx 82Cxx 35Qxx PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Phys. 434, Article ID 110235, 22 p. (2021; Zbl 07508535) Full Text: DOI arXiv
Zubair, Tamour; Lu, Tiao; Usman, Muhammad Higher dimensional semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on linear polarization and 2D Landau damping instability. (English) Zbl 1508.74002 Appl. Math. Comput. 401, Article ID 126100, 18 p. (2021). MSC: 74-04 65M70 35Q61 76X05 78M20 78M22 PDFBibTeX XMLCite \textit{T. Zubair} et al., Appl. Math. Comput. 401, Article ID 126100, 18 p. (2021; Zbl 1508.74002) Full Text: DOI
Goudon, Thierry; Vivion, Léo Numerical investigation of Landau damping in dynamical Lorentz gases. (English) Zbl 1487.65149 Physica D 403, Article ID 132310, 23 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65P10 82C22 82C40 76P05 35Q83 PDFBibTeX XMLCite \textit{T. Goudon} and \textit{L. Vivion}, Physica D 403, Article ID 132310, 23 p. (2020; Zbl 1487.65149) Full Text: DOI HAL
Chung, Seung Whan; Bond, Stephen D.; Cyr, Eric C.; Freund, Jonathan B. Regular sensitivity computation avoiding chaotic effects in particle-in-cell plasma methods. (English) Zbl 1453.76158 J. Comput. Phys. 400, Article ID 108969, 32 p. (2020). MSC: 76M28 76X05 PDFBibTeX XMLCite \textit{S. W. Chung} et al., J. Comput. Phys. 400, Article ID 108969, 32 p. (2020; Zbl 1453.76158) Full Text: DOI Link
Garrett, C. Kristopher; Hauck, Cory D. A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework. (English) Zbl 1397.76067 SIAM J. Sci. Comput. 40, No. 2, B483-B506 (2018). MSC: 76M10 65M60 65M55 76X05 PDFBibTeX XMLCite \textit{C. K. Garrett} and \textit{C. D. Hauck}, SIAM J. Sci. Comput. 40, No. 2, B483--B506 (2018; Zbl 1397.76067) Full Text: DOI
Crouseilles, Nicolas; Einkemmer, Lukas; Faou, Erwan An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit. (English) Zbl 1375.82107 Comput. Phys. Commun. 209, 13-26 (2016). MSC: 82D10 65Z05 35Q83 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., Comput. Phys. Commun. 209, 13--26 (2016; Zbl 1375.82107) Full Text: DOI arXiv