He, Xiaoyang; Jin, Shi; Yu, Yue Time complexity analysis of quantum difference methods for multiscale transport equations. (English) Zbl 07779664 East Asian J. Appl. Math. 13, No. 3, 717-739 (2023). MSC: 81Q15 PDFBibTeX XMLCite \textit{X. He} et al., East Asian J. Appl. Math. 13, No. 3, 717--739 (2023; Zbl 07779664) Full Text: DOI
Jin, Shi; Liu, Nana; Yu, Yue Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations. (English) Zbl 07690222 J. Comput. Phys. 487, Article ID 112149, 46 p. (2023). MSC: 68Qxx 81Pxx 15Axx PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 487, Article ID 112149, 46 p. (2023; Zbl 07690222) Full Text: DOI arXiv
Jin, Shi Asymptotic-preserving schemes for multiscale physical problems. (English) Zbl 1519.65046 Acta Numerica 31, 415-489 (2022). MSC: 65M99 35Q70 81Q20 82C40 PDFBibTeX XMLCite \textit{S. Jin}, Acta Numerica 31, 415--489 (2022; Zbl 1519.65046) Full Text: DOI arXiv
Jin, Shi; Li, Lei Random batch methods for classical and quantum interacting particle systems and statistical samplings. (English) Zbl 1506.82046 Bellomo, Nicola (ed.) et al., Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 153-200 (2022). MSC: 82M31 82M37 65C05 65C35 65T50 PDFBibTeX XMLCite \textit{S. Jin} and \textit{L. Li}, in: Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. 153--200 (2022; Zbl 1506.82046) Full Text: DOI arXiv
Golse, François; Jin, Shi; Paul, Thierry The random batch method for \(N\)-body quantum dynamics. (English) Zbl 1499.82029 J. Comput. Math. 39, No. 6, 897-922 (2021). MSC: 82C10 82C22 65M75 35Q41 81V70 PDFBibTeX XMLCite \textit{F. Golse} et al., J. Comput. Math. 39, No. 6, 897--922 (2021; Zbl 1499.82029) Full Text: DOI arXiv
Jin, Shi; Shu, Ruiwen Collective dynamics of opposing groups with stochastic communication. (English) Zbl 1470.91211 Vietnam J. Math. 49, No. 3, 619-636 (2021). Reviewer: Yilun Shang (Newcastle) MSC: 91D30 PDFBibTeX XMLCite \textit{S. Jin} and \textit{R. Shu}, Vietnam J. Math. 49, No. 3, 619--636 (2021; Zbl 1470.91211) Full Text: DOI arXiv
Golse, François; Jin, Shi; Paul, Thierry On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. (English) Zbl 1471.65038 Found. Comput. Math. 21, No. 3, 613-647 (2021). MSC: 65J10 65J08 81Q05 PDFBibTeX XMLCite \textit{F. Golse} et al., Found. Comput. Math. 21, No. 3, 613--647 (2021; Zbl 1471.65038) 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
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Méhats, Florian A micro-macro method for a kinetic graphene model in one space dimension. (English) Zbl 1434.82078 Multiscale Model. Simul. 18, No. 1, 444-474 (2020). MSC: 82C70 82M20 65M06 35Q82 35Q40 35L03 74Q10 65M12 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., Multiscale Model. Simul. 18, No. 1, 444--474 (2020; Zbl 1434.82078) Full Text: DOI
Arnold, Anton; Jin, Shi; Wöhrer, Tobias Sharp decay estimates in local sensitivity analysis for evolution equations with uncertainties: from ODEs to linear kinetic equations. (English) Zbl 1428.35036 J. Differ. Equations 268, No. 3, 1156-1204 (2020). MSC: 35B40 35Q84 PDFBibTeX XMLCite \textit{A. Arnold} et al., J. Differ. Equations 268, No. 3, 1156--1204 (2020; Zbl 1428.35036) Full Text: DOI arXiv
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. (English) Zbl 1437.65095 SMAI J. Comput. Math. 5, 229-249 (2019). MSC: 65M06 92C35 76Z05 76S05 92E20 35J60 35K57 35R02 35Q92 PDFBibTeX XMLCite \textit{D. Fang} et al., SMAI J. Comput. Math. 5, 229--249 (2019; Zbl 1437.65095) Full Text: DOI
Chai, Lihui; Jin, Shi; Markowich, Peter A. A hybrid method for computing the Schrödinger equations with periodic potential with band-crossings in the momentum space. (English) Zbl 1475.65143 Commun. Comput. Phys. 24, No. 4, 989-1020 (2018). MSC: 65M70 35Q41 81Q20 74Q10 35B27 PDFBibTeX XMLCite \textit{L. Chai} et al., Commun. Comput. Phys. 24, No. 4, 989--1020 (2018; Zbl 1475.65143) Full Text: DOI Link
Jin, Shi; Tran, Minh-Binh Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. (English) Zbl 1415.76769 Physica D 380-381, 45-57 (2018). MSC: 76Y05 82C10 PDFBibTeX XMLCite \textit{S. Jin} and \textit{M.-B. Tran}, Physica D 380--381, 45--57 (2018; Zbl 1415.76769) Full Text: DOI arXiv
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo A high order stochastic asymptotic preserving scheme for chemotaxis kinetic models with random inputs. (English) Zbl 1471.92062 Multiscale Model. Simul. 16, No. 4, 1884-1915 (2018). Reviewer: Stefanie Sonner (Nijmegen) MSC: 92C17 65C30 60H35 35K40 35Q92 PDFBibTeX XMLCite \textit{S. Jin} et al., Multiscale Model. Simul. 16, No. 4, 1884--1915 (2018; Zbl 1471.92062) Full Text: DOI arXiv
Fang, Di; Jin, Shi; Sparber, Christof An efficient time-splitting method for the Ehrenfest dynamics. (English) Zbl 1426.35194 Multiscale Model. Simul. 16, No. 2, 900-921 (2018). Reviewer: Song Jiang (Beijing) MSC: 35Q41 35-02 35B40 65M70 35Q83 65M06 PDFBibTeX XMLCite \textit{D. Fang} et al., Multiscale Model. Simul. 16, No. 2, 900--921 (2018; Zbl 1426.35194) Full Text: DOI arXiv
Faraj, Ali; Jin, Shi The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene. (English) Zbl 1488.35458 Commun. Comput. Phys. 21, No. 2, 313-357 (2017). MSC: 35Q41 37M05 65M70 65Z05 81-08 81Q20 81V99 PDFBibTeX XMLCite \textit{A. Faraj} and \textit{S. Jin}, Commun. Comput. Phys. 21, No. 2, 313--357 (2017; Zbl 1488.35458) 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
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
Jin, Shi; Sparber, Christof; Zhou, Zhennan On the classical limit of a time-dependent self-consistent field system: analysis and computation. (English) Zbl 1352.35142 Kinet. Relat. Models 10, No. 1, 263-298 (2017). MSC: 35Q41 35B40 65M70 35Q83 PDFBibTeX XMLCite \textit{S. Jin} et al., Kinet. Relat. Models 10, No. 1, 263--298 (2017; Zbl 1352.35142) Full Text: DOI arXiv
Hu, Jingwei; Jin, Shi; Wang, Li An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach. (English) Zbl 1317.65171 Kinet. Relat. Models 8, No. 4, 707-723 (2015). MSC: 65M06 35L45 35K15 65Z05 PDFBibTeX XMLCite \textit{J. Hu} et al., Kinet. Relat. Models 8, No. 4, 707--723 (2015; Zbl 1317.65171) Full Text: DOI
Jefferis, Leland; Jin, Shi A Gaussian beam method for high frequency solution of symmetric hyperbolic systems with polarized waves. (English) Zbl 1317.74047 Multiscale Model. Simul. 13, No. 3, 733-765 (2015). MSC: 74J05 74K10 PDFBibTeX XMLCite \textit{L. Jefferis} and \textit{S. Jin}, Multiscale Model. Simul. 13, No. 3, 733--765 (2015; Zbl 1317.74047) Full Text: DOI
Jin, Shi; Wei, Dongming; Yin, Dongsheng Gaussian beam methods for the Schrödinger equation with discontinuous potentials. (English) Zbl 1293.81019 J. Comput. Appl. Math. 265, 199-219 (2014). MSC: 81Q05 65M99 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Appl. Math. 265, 199--219 (2014; Zbl 1293.81019) Full Text: DOI
Jin, Shi; Qi, Peng \(l^1\)-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: a simple proof. (English) Zbl 1305.65202 Sci. China, Math. 56, No. 12, 2773-2782 (2013). MSC: 65M15 65M06 35L02 35L81 PDFBibTeX XMLCite \textit{S. Jin} and \textit{P. Qi}, Sci. China, Math. 56, No. 12, 2773--2782 (2013; Zbl 1305.65202) Full Text: DOI
Jin, Shi; Yan, Bokai A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. (English) Zbl 1408.76594 J. Comput. Phys. 230, No. 17, 6420-6437 (2011). MSC: 76X05 76M28 82C31 PDFBibTeX XMLCite \textit{S. Jin} and \textit{B. Yan}, J. Comput. Phys. 230, No. 17, 6420--6437 (2011; Zbl 1408.76594) Full Text: DOI
Jin, Shi; Markowich, Peter; Sparber, Christof Mathematical and computational methods for semiclassical Schrödinger equations. (English) Zbl 1233.65071 Acta Numerica 20, 121-209 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65M70 35Q41 65-02 PDFBibTeX XMLCite \textit{S. Jin} et al., Acta Numerica 20, 121--209 (2011; Zbl 1233.65071) Full Text: DOI
Wei, Dongming; Jin, Shi; Tsai, Richard; Yang, Xu A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. (English) Zbl 1201.65173 J. Comput. Phys. 229, No. 19, 7440-7455 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M25 35Q55 35R05 PDFBibTeX XMLCite \textit{D. Wei} et al., J. Comput. Phys. 229, No. 19, 7440--7455 (2010; Zbl 1201.65173) Full Text: DOI
Jin, Shi; Wu, Hao; Yang, Xu; Huang, Zhongyi Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials. (English) Zbl 1346.81044 J. Comput. Phys. 229, No. 13, 4869-4883 (2010). MSC: 81Q20 65M06 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 229, No. 13, 4869--4883 (2010; Zbl 1346.81044) Full Text: DOI
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof On the Bloch decomposition based spectral method for wave propagation in periodic media. (English) Zbl 1231.78019 Wave Motion 46, No. 1, 15-28 (2009). MSC: 78A40 78M10 65M70 PDFBibTeX XMLCite \textit{Z. Huang} et al., Wave Motion 46, No. 1, 15--28 (2009; Zbl 1231.78019) Full Text: DOI
Jin, Shi; Yang, Xu Computation of the semiclassical limit of the Schrödinger equation with phase shift by a level set method. (English) Zbl 1203.65137 J. Sci. Comput. 35, No. 2-3, 144-169 (2008). MSC: 65M06 81Q20 PDFBibTeX XMLCite \textit{S. Jin} and \textit{X. Yang}, J. Sci. Comput. 35, No. 2--3, 144--169 (2008; Zbl 1203.65137) Full Text: DOI
Jin, Shi; Liao, Xiaomei; Yang, Xu The Vlasov-Poisson equations as the semiclassical limit of the Schrödinger-Poisson equations: a numerical study. (English) Zbl 1165.35048 J. Hyperbolic Differ. Equ. 5, No. 3, 569-587 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q55 35D99 65M06 65M12 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Hyperbolic Differ. Equ. 5, No. 3, 569--587 (2008; Zbl 1165.35048) Full Text: DOI
Jin, Shi; Yin, Dongsheng Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction. (English) Zbl 1144.78002 J. Comput. Phys. 227, No. 12, 6106-6139 (2008). MSC: 78A05 78A40 78A45 78M20 65M06 PDFBibTeX XMLCite \textit{S. Jin} and \textit{D. Yin}, J. Comput. Phys. 227, No. 12, 6106--6139 (2008; Zbl 1144.78002) Full Text: DOI
Jin, Shi; Novak, Kyle A. A semiclassical transport model for two-dimensional thin quantum barriers. (English) Zbl 1123.81021 J. Comput. Phys. 226, No. 2, 1623-1644 (2007). MSC: 81Q05 81Q20 82C70 81U05 81-04 PDFBibTeX XMLCite \textit{S. Jin} and \textit{K. A. Novak}, J. Comput. Phys. 226, No. 2, 1623--1644 (2007; Zbl 1123.81021) Full Text: DOI
Jin, Shi; Zheng, Chunxiong A time-splitting spectral method for the generalized Zakharov system in multi-dimensions. (English) Zbl 1203.65138 J. Sci. Comput. 26, No. 2, 127-149 (2006). MSC: 65M06 76M22 76X05 82D10 PDFBibTeX XMLCite \textit{S. Jin} and \textit{C. Zheng}, J. Sci. Comput. 26, No. 2, 127--149 (2006; Zbl 1203.65138) Full Text: DOI
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Richard Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems. (English) Zbl 1098.65094 J. Comput. Phys. 210, No. 2, 497-518 (2005). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M25 78A05 78M25 35L15 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 210, No. 2, 497--518 (2005; Zbl 1098.65094) Full Text: DOI
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong A time-splitting spectral scheme for the Maxwell-Dirac system. (English) Zbl 1070.81040 J. Comput. Phys. 208, No. 2, 761-789 (2005). MSC: 81Q05 81V10 81Q20 81-04 PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 208, No. 2, 761--789 (2005; Zbl 1070.81040) Full Text: DOI arXiv
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Yen-Hsi Richard Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation. (English) Zbl 1072.65132 J. Comput. Phys. 205, No. 1, 222-241 (2005). MSC: 65M70 35Q40 81Q20 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 205, No. 1, 222--241 (2005; Zbl 1072.65132) Full Text: DOI
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong Numerical simulation of a generalized Zakharov system. (English) Zbl 1079.65101 J. Comput. Phys. 201, No. 1, 376-395 (2004). MSC: 65M70 76M25 76X05 82D10 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 201, No. 1, 376--395 (2004; Zbl 1079.65101) Full Text: DOI
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
Jin, Shi; Li, Xiantao Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner. (English) Zbl 1073.81041 Physica D 182, No. 1-2, 46-85 (2003). MSC: 81Q20 81Q05 PDFBibTeX XMLCite \textit{S. Jin} and \textit{X. Li}, Physica D 182, No. 1--2, 46--85 (2003; Zbl 1073.81041) Full Text: DOI
Bao, Weizhu; Jin, Shi; Markowich, Peter A. On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. (English) Zbl 1006.65112 J. Comput. Phys. 175, No. 2, 487-524 (2002). Reviewer: Dinh Nho Hao (Brussel) MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{W. Bao} et al., J. Comput. Phys. 175, No. 2, 487--524 (2002; Zbl 1006.65112) Full Text: DOI
Jin, Shi; Pareschi, Lorenzo Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. (English) Zbl 1156.82408 J. Comput. Phys. 161, No. 1, 312-330 (2000). MSC: 82D37 PDFBibTeX XMLCite \textit{S. Jin} and \textit{L. Pareschi}, J. Comput. Phys. 161, No. 1, 312--330 (2000; Zbl 1156.82408) Full Text: DOI