Jin, Shi; Li, Lei; Ye, Xuda; Zhou, Zhennan Ergodicity and long-time behavior of the random batch method for interacting particle systems. (English) Zbl 1521.37097 Math. Models Methods Appl. Sci. 33, No. 1, 67-102 (2023). MSC: 37M25 37M05 37A60 60K35 65C20 82C22 PDFBibTeX XMLCite \textit{S. Jin} et al., Math. Models Methods Appl. Sci. 33, No. 1, 67--102 (2023; Zbl 1521.37097) Full Text: DOI arXiv
Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises. (English) Zbl 1504.90204 Math. Models Methods Appl. Sci. 32, No. 6, 1071-1107 (2022). MSC: 90C59 93D50 PDFBibTeX XMLCite \textit{D. Ko} et al., Math. Models Methods Appl. Sci. 32, No. 6, 1071--1107 (2022; Zbl 1504.90204) Full Text: DOI arXiv
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon; Ko, Dongnam Uniform-in-time error estimate of the random batch method for the Cucker-Smale model. (English) Zbl 1492.92003 Math. Models Methods Appl. Sci. 31, No. 6, 1099-1135 (2021). MSC: 92-08 34F05 37M99 37N30 60K35 65C35 65P99 92D50 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 31, No. 6, 1099--1135 (2021; Zbl 1492.92003) Full Text: DOI
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon Convergence of a first-order consensus-based global optimization algorithm. (English) Zbl 1467.90040 Math. Models Methods Appl. Sci. 30, No. 12, 2417-2444 (2020). MSC: 90C26 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 12, 2417--2444 (2020; Zbl 1467.90040) Full Text: DOI arXiv
Fang, Di; Ha, Seung-Yeal; Jin, Shi Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. (English) Zbl 1433.34064 Math. Models Methods Appl. Sci. 29, No. 7, 1349-1385 (2019). MSC: 34C60 92D50 34D05 92B20 PDFBibTeX XMLCite \textit{D. Fang} et al., Math. Models Methods Appl. Sci. 29, No. 7, 1349--1385 (2019; Zbl 1433.34064) Full Text: DOI arXiv
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations. (English) Zbl 1372.35256 Math. Models Methods Appl. Sci. 27, No. 11, 2031-2070 (2017). MSC: 35Q40 35L03 74Q10 65M12 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., Math. Models Methods Appl. Sci. 27, No. 11, 2031--2070 (2017; Zbl 1372.35256) Full Text: DOI arXiv
Gosse, Laurent; Jin, Shi; Li, Xiantao Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation. (English) Zbl 1055.81013 Math. Models Methods Appl. Sci. 13, No. 12, 1689-1723 (2003). MSC: 81Q05 81Q20 35L65 65M06 PDFBibTeX XMLCite \textit{L. Gosse} et al., Math. Models Methods Appl. Sci. 13, No. 12, 1689--1723 (2003; Zbl 1055.81013) Full Text: DOI