Cai, Yongyong; Wang, Yan Uniformly accurate nested Picard iterative integrators for the nonlinear Dirac equation in the nonrelativistic regime. (English) Zbl 1482.35190 Multiscale Model. Simul. 20, No. 1, 164-187 (2022). MSC: 35Q41 65M70 65N35 81Q05 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{Y. Wang}, Multiscale Model. Simul. 20, No. 1, 164--187 (2022; Zbl 1482.35190) Full Text: DOI
Feng, Yue; Yi, Wenfan Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation. (English) Zbl 1496.65178 Multiscale Model. Simul. 19, No. 3, 1212-1235 (2021). MSC: 65M70 65M06 65N35 65M12 65M15 35L70 81V10 81-08 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{W. Yi}, Multiscale Model. Simul. 19, No. 3, 1212--1235 (2021; Zbl 1496.65178) Full Text: DOI arXiv
Mauser, Norbert J.; Zhang, Yong; Zhao, Xiaofei On the rotating nonlinear Klein-Gordon equation: nonrelativistic limit and numerical methods. (English) Zbl 1446.65074 Multiscale Model. Simul. 18, No. 2, 999-1024 (2020). MSC: 65M06 65M70 65Z99 81Q05 85A40 35Q55 35Q40 82D50 PDFBibTeX XMLCite \textit{N. J. Mauser} et al., Multiscale Model. Simul. 18, No. 2, 999--1024 (2020; Zbl 1446.65074) Full Text: DOI
Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.; Shu, Chi-Wang Well-balanced finite-volume schemes for hydrodynamic equations with general free energy. (English) Zbl 1434.82098 Multiscale Model. Simul. 18, No. 1, 502-541 (2020). MSC: 82M12 82B05 35Q35 35Q82 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Multiscale Model. Simul. 18, No. 1, 502--541 (2020; Zbl 1434.82098) Full Text: DOI arXiv
Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations. (English) Zbl 1365.65215 Multiscale Model. Simul. 15, No. 2, 723-744 (2017). MSC: 65M25 35Q83 78A35 78M25 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., Multiscale Model. Simul. 15, No. 2, 723--744 (2017; Zbl 1365.65215) Full Text: DOI