Yang, Junxiang; Tan, Zhijun; Kim, Junseok High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model. (English) Zbl 1524.65426 Comput. Math. Appl. 102, 160-174 (2021). MSC: 65M06 65M12 74N05 82D25 65M70 35Q35 80A22 65N35 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 102, 160--174 (2021; Zbl 1524.65426) Full Text: DOI
Piacentini, Giulia; Goatin, Paola; Ferrara, Antonella A macroscopic model for platooning in highway traffic. (English) Zbl 1439.35326 SIAM J. Appl. Math. 80, No. 1, 639-656 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 90B20 82B21 65M08 PDFBibTeX XMLCite \textit{G. Piacentini} et al., SIAM J. Appl. Math. 80, No. 1, 639--656 (2020; Zbl 1439.35326) Full Text: DOI
Henning, Patrick; Wärnegård, Johan Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. (English) Zbl 1434.65183 Kinet. Relat. Models 12, No. 6, 1247-1271 (2019). MSC: 65M60 35Q55 65Y20 65P10 81Q05 35Q41 65M20 35B40 35C08 82D50 82D55 PDFBibTeX XMLCite \textit{P. Henning} and \textit{J. Wärnegård}, Kinet. Relat. Models 12, No. 6, 1247--1271 (2019; Zbl 1434.65183) Full Text: DOI arXiv
Hutchinson, Ian H. A student’s guide to numerical methods. (English) Zbl 1322.65001 Cambridge: Cambridge University Press (ISBN 978-1-107-09567-0/hbk; 978-1-107-47950-0/pbk; 978-1-316-15551-6/ebook). xiv, 207 p. (2015). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 34-01 35-01 00A06 00A79 35Qxx 65Z05 65Lxx 65Mxx 65Nxx 65C05 82-01 76-01 PDFBibTeX XMLCite \textit{I. H. Hutchinson}, A student's guide to numerical methods. Cambridge: Cambridge University Press (2015; Zbl 1322.65001) Full Text: DOI
Potapenko, I. F.; Bobylev, A. V.; Mossberg, E. Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics. (English) Zbl 1165.82021 Transp. Theory Stat. Phys. 37, No. 2-4, 113-170 (2008). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C31 82D10 82C80 82C40 PDFBibTeX XMLCite \textit{I. F. Potapenko} et al., Transp. Theory Stat. Phys. 37, No. 2--4, 113--170 (2008; Zbl 1165.82021) Full Text: DOI
Schmitz, H.; Grauer, R. Vlasov simulations of collisionless magnetic reconnection without background density. (English) Zbl 1129.35473 Commun. Nonlinear Sci. Numer. Simul. 13, No. 1, 169-173 (2008). MSC: 35Q72 82D10 76W05 PDFBibTeX XMLCite \textit{H. Schmitz} and \textit{R. Grauer}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 1, 169--173 (2008; Zbl 1129.35473) Full Text: DOI arXiv
Idomura, Yasuhiro; Ida, Masato; Tokuda, Shinji; Villard, Laurent New conservative gyrokinetic full-\(f\) Vlasov code and its comparison to gyrokinetic \(\delta f\) particle-in-cell code. (English) Zbl 1136.82037 J. Comput. Phys. 226, No. 1, 244-262 (2007). Reviewer: Vladimir Čadež (Beograd) MSC: 82C80 65N06 82D10 82C40 82C70 PDFBibTeX XMLCite \textit{Y. Idomura} et al., J. Comput. Phys. 226, No. 1, 244--262 (2007; Zbl 1136.82037) Full Text: DOI
Lemou, Mohammed; Mieussens, Luc Implicit schemes for the Fokker–Planck–Landau equation. (English) Zbl 1096.82015 SIAM J. Sci. Comput. 27, No. 3, 809-830 (2005). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82C40 82D10 82C80 65M06 65Y20 65F10 PDFBibTeX XMLCite \textit{M. Lemou} and \textit{L. Mieussens}, SIAM J. Sci. Comput. 27, No. 3, 809--830 (2005; Zbl 1096.82015) Full Text: DOI
Aristov, V. V. Direct methods for solving the Boltzmann equation and study of nonequilibrium flows. (English) Zbl 0983.82011 Fluid Mechanics and its Applications. 60. Dordrecht: Kluwer Academic Publishers. xviii, 294 p. (2001). Reviewer: A.Balint (Timişoara) MSC: 82C40 82-02 35Q30 65C05 65M06 76Mxx 76P05 PDFBibTeX XMLCite \textit{V. V. Aristov}, Direct methods for solving the Boltzmann equation and study of nonequilibrium flows. Dordrecht: Kluwer Academic Publishers (2001; Zbl 0983.82011)
Potapenko, I. F.; de Azevedo, C. A. The completely conservative difference schemes for the nonlinear Landau-Fokker-Planck equation. (English) Zbl 0944.65152 J. Comput. Appl. Math. 103, No. 1, 115-123 (1999). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 45K05 82C40 82C31 82C80 PDFBibTeX XMLCite \textit{I. F. Potapenko} and \textit{C. A. de Azevedo}, J. Comput. Appl. Math. 103, No. 1, 115--123 (1999; Zbl 0944.65152) Full Text: DOI
Aristov, V. V.; Cheremisin, F. G. Solution of the Euler and Navier-Stokes equations on the basis of operator splitting of the kinetic equation. (English. Russian original) Zbl 0557.76085 Sov. Phys., Dokl. 28, 679-699 (1983); translation from Dokl. Akad. Nauk SSSR 272, 555-559 (1983). MSC: 76P05 82B40 76M99 PDFBibTeX XMLCite \textit{V. V. Aristov} and \textit{F. G. Cheremisin}, Sov. Phys., Dokl. 28, 679--699 (1983; Zbl 0557.76085); translation from Dokl. Akad. Nauk SSSR 272, 555--559 (1983)