Gamba, Irene M.; Jin, Shi; Liu, Liu Error estimate of a bifidelity method for kinetic equations with random parameters and multiple scales. (English) Zbl 1498.35377 Int. J. Uncertain. Quantif. 11, No. 5, 57-75 (2021). MSC: 35Q20 65M70 PDFBibTeX XMLCite \textit{I. M. Gamba} et al., Int. J. Uncertain. Quantif. 11, No. 5, 57--75 (2021; Zbl 1498.35377) Full Text: DOI arXiv
Daus, Esther S.; Jin, Shi; Liu, Liu On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation. (English) Zbl 1490.35246 ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1323-1345 (2021). MSC: 35Q20 65M70 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{E. S. Daus} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1323--1345 (2021; Zbl 1490.35246) Full Text: DOI arXiv
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. (English) Zbl 1471.65137 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849-1882 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 65M60 35L03 35Q40 35Q49 60H35 65D32 65L06 65M12 65M75 65M70 81Q20 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849--1882 (2020; Zbl 1471.65137) Full Text: DOI arXiv
Jin, Shi; Liu, Liu; Russo, Giovanni; Zhou, Zhennan Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs. (English) Zbl 1453.65020 J. Comput. Phys. 401, Article ID 109015, 21 p. (2020). MSC: 65C30 65M70 35R60 81Q20 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 401, Article ID 109015, 21 p. (2020; Zbl 1453.65020) Full Text: DOI arXiv
Gamba, Irene M.; Jin, Shi; Liu, Liu Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. (English) Zbl 1451.76112 J. Comput. Phys. 382, 264-290 (2019). MSC: 76P05 76M20 76M12 65M06 65M08 35R09 35Q20 PDFBibTeX XMLCite \textit{I. M. Gamba} et al., J. Comput. Phys. 382, 264--290 (2019; Zbl 1451.76112) Full Text: DOI arXiv
Gamba, Irene M.; Jin, Shi; Liu, Liu Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses. I: Time discretization and asymptotic analysis. (English) Zbl 1433.35211 Commun. Math. Sci. 17, No. 5, 1257-1289 (2019). MSC: 35Q20 82D10 65M99 35Q84 76P05 82C31 76X05 35B40 82C40 65M06 PDFBibTeX XMLCite \textit{I. M. Gamba} et al., Commun. Math. Sci. 17, No. 5, 1257--1289 (2019; Zbl 1433.35211) Full Text: DOI arXiv
Daus, Esther S.; Jin, Shi; Liu, Liu Spectral convergence of the stochastic Galerkin approximation to the Boltzmann equation with multiple scales and large random perturbation in the collision kernel. (English) Zbl 1420.65104 Kinet. Relat. Models 12, No. 4, 909-922 (2019). MSC: 65M70 35Q20 PDFBibTeX XMLCite \textit{E. S. Daus} et al., Kinet. Relat. Models 12, No. 4, 909--922 (2019; Zbl 1420.65104) Full Text: DOI arXiv
Liu, Liu; Jin, Shi Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. (English) Zbl 1403.35197 Multiscale Model. Simul. 16, No. 3, 1085-1114 (2018). MSC: 35Q20 65M60 82B40 82C40 35R60 76D05 65M12 35B65 PDFBibTeX XMLCite \textit{L. Liu} and \textit{S. Jin}, Multiscale Model. Simul. 16, No. 3, 1085--1114 (2018; Zbl 1403.35197) Full Text: DOI arXiv
Jin, Shi; Liu, Liu An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings. (English) Zbl 1367.35100 Multiscale Model. Simul. 15, No. 1, 157-183 (2017). MSC: 35Q20 65M70 65M60 35B40 82D37 35R60 PDFBibTeX XMLCite \textit{S. Jin} and \textit{L. Liu}, Multiscale Model. Simul. 15, No. 1, 157--183 (2017; Zbl 1367.35100) Full Text: DOI