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个人简介

教育经历 1994.9-1997.3 中国科学院数学所 博士 1991.9-1994.7 北京师范大学数学系 硕士 工作经历 2022.10—至今:首都师范大学交叉科学研究院,教授 2015.07—2022.09:北京应用物理与计算数学研究所高级特聘研究员,博士生导师 2010.12—2015.07:北京师范大学数学科学学院教授、博士生导师 2013.07—2014.06:美国宾州州立大学数学系,访问教授 2002.08—2010.12:北京市首都师范大学数学学院研究员(2003年始博士生导师) 2004.03—2005.06: 德国马格德堡大学数学系,洪堡学者 2001-08—2002.07:台北中央研究院数学所访问教授 1999.10—2001.08:以色列希伯莱大学爱因斯坦数学所Lady Davis和 Golda Meir 研究员 1997.03月—1998.12:中国科学院应用数学所博士后 科研项目 1.2021—2024:国家自然科学基金面上项目(主持),12072042,近壁流动转捩中相干结构的时空关联建模和时空耦合高置信度数值模拟 2.2019-2022:国家自然科学基金重大研究计划重点项目(主要参加人),91852207:高能量密度下汇聚几何界面失稳诱导的转捩和湍流混合机理研究。 重要奖项 2008年国务院政府特殊津贴 2005年第十届霍英东高等学校青年教师奖(研究类) 2004年德国洪堡基金会研究类奖学金 2003年北京市科学技术一等奖(排名第一)

研究领域

计算流体力学、数值分析、偏微分方程

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

【1】专著:The Two-dimensional Riemann Problem in Gas Dynamics (第一作者;合作者:Tong Zhang, Shuli Yang), Pitmann Monographs and Surveys in Pure and Applied Mathematics 98, 312页 【2】Book Chapter: Xin Lei and Jiequan Li, An energy-splitting high order numericalmethod for multi-material flows, Numerical Fluid DynamicsMethods and Computations, Springer, 2022. 【3】Jiequan Li and Qinglong Zhang, One-sided GRP solver and numerical boundary conditions for compressible fluid flows, Journal of Computational Physics, 459, 2022, 111138. 【4】Xin Lei and Jiequan Li, A staggered-projection Godunov-type method for the Baer-Nunziato two-phase model, Journal of Computational Physics, 437 (6), 2021, 110312. 【5】Matania Ben-Artzi and Jiequan Li, Consistency of Finite Volume Approximation to Nonlinear Hyperbolic Balance Laws, Mathematics of Computation, Vol.90, No. 327 (2021), 151-169. 【6】李杰权, 计算流体力学时空观:模型的时空关联性与算法的时空耦合性,《空气动力学学报》,2021,39(1):92-110. 【7】Jiequan Li, A spacetime outlook on CFD : Spatial-temporally correlated models and spatial-temporally coupled algorithms [J], Acta Aerodynamica Sinica, 2021, 39(1),92-110. 【8】Zhifang Du and Jiequan Li, Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows, SIAM J. Scientific Computing, 42(3) (2020), A1558-A1581. 【9】Yanbo Hu and Jiequan Li, Sonic-supersonic solutions for the two-dimensional steady full Euler equations, Archive Rational Mechanics and Analysis, 235 (2020), 1819-1871. 【10】Jiequan Li, Two-stage Fourth Order: Temporal-Spatial Coupling in Computational Fluid Dynamics (CFD), Advances in Aerodynamics, 2019, 1:3, https://doi.org /10.1186/s42774-019-0004-9(36 pages). 【11】Dinshaw Balsara, Jiequan Li and Gino Montecinos, An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver, Journal of Computational Physics, 375 (2018), 1238-1269. 【12】Zhifang Du and Jiequnan Li, A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solver, II High order numerical boundary conditions, Journal of Computational Physics, 369 (2018), 125-147. 【13】Xin Lei and Jiequan Li, A non-oscillatory energy-splitting method for the computation of compressible multi-fluid flows, Physics of Fluids, 30 (2018), 006891. 【14】Zhifang Du and Jiequan Li, A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws, Journal of Computational Physics, 355 (2018), 385–396. 【15】Jiequan Li and Yue Wang, Thermodynamical effects and high resolution methods for compressible fluid flows, Journal of Computational Physics, 343 (2017), 340–354. 【16】Jiequan Li and Zhifang Du, A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers, I. Hyperbolic conservation laws, SIAM J. Sci. Comput., 38 (2016), 3045-3069. 【17】Yue Wang and Jiequan Li, Numerical Defects of the HLL Scheme and Dissipation Matrices for the Euler equations, SIAM J. Numerical Analysis, No. 52, Vol. 1(2014), 207-219. 【18】Jianzhen Qian, Jiequan Li and Shuanghua Wang, The generalized Riemann problems for compressible fluid flows: Towards high order, Journal of Computational Physics, 259 (2014) 358–389. 【19】Jiequan Li and Yongjin Zhang, The adaptive GRP scheme for compressible fluid flows over unstructured meshes, Journal of Computational Physics, 242 (2013), 367--386. 【20】Jiequan Li and Zhicheng Yang, Heuristic modified equation analysis on oscillations in numerical solutions of conservation laws, SIAM Journal on Numerical Analysis, 49 (2011), 2386-2406. 【21】Jiequan Li, Qibing Li and Kun Xu, Comparison of the Generalized Riemann Solver and the Gas-Kinetic scheme for Compressible Inviscid Flow Simulations, Journal of Computational Physics, 230 (2011), 5080-5099. 【22】Jiequan Li and Yuxi Zheng, Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations, Communications in Mathematical Physics, 296 (2010), 303--321. 【23】Ee Han, Jiequan Li and Huazhong Tang, An adaptive GRP scheme for compressible fluid flows, Journal of Computational Physics, 229 (2010), 1448-1466. 【24】Jiequan Li and Yuxi Zheng, Interaction of rarefaction waves of the two-dimensional self-similar Euler equations, Archive Rational Mechanics and Analysis, 193 (2009), 623--657. 【25】Jiequan Li, Huazhong Tang, Gerald Warnecke and Lumei Zhang, Local oscillations in finite difference solutions of hyperbolic conservation laws, Mathematics of Computation, 78 (2009), 1997--2018. 【26】Jiequan Li, Tiegang Liu and Zhongfeng Sun, Implementation of the GRP scheme for computing spherical compressible fluid flows, Journal of Computational Physics, 228 (2009), 5867--5887. 【27】J. Glimm, X. Ji, Jiequan Li, X. Li, T. Zhang, P. Zhang and Y. Zheng, Transonic shock formation in a rarefaction Riemann problem for the 2-D compressible Euler equations, SIAM Journal on Applied Mathematics, 69 (2008), 720--742. 【28】Jiequan Li and Zhongfeng Sun, Remark on the generalized Riemann problem method for compressible fluid flows, Journal of Computational Physics, 222 (2007), 796--808. 【29】Matania Ben-Artzi and Jiequan Li, Hyperbolic conservation laws: Riemann invariants and the generalized Riemann problem, Numerische Mathematik, 106 (2007), 369--425. 【30】Jiequan Li and Guoxian Chen, The generalized Riemann problem method for the shallow water equations with bottom topography, International Journal of Numerical Methods in Engineering, 65 (2006), 834--862. 【31】Matania Ben-Artzi, Jiequan Li and Gerald Warnecke, A direct Eulerian GRP scheme for compressible fluid flows, Journal of Computational Physics, 218 (2006), 19--43. 【32】Jiequan Li, Tong Zhang and Yuxi Zheng, Simple waves and a characteristic decomposition for the two dimensional compressible Euler equations, Communications in Mathematical Physics, 267 (2006), 1--12. 【33】Jiequan Li and Peng Zhang, The transition from ZND to CJ theories for nonconvex scalar combustion model, SIAM Journal on Mathematical Analysis, 34 (2003), 675--699. 【34】Jiequan Li, Global solution of an initial—value problem for two--dimensional compressible Euler equations, Journal of Differential Equations, 179 (2002), 178-- 194. 【35】Jiequan Li, On the two--dimensional gas expansion for compressible Euler equations, SIAM Journal on Applied Mathematics, 62 (2001/2002), 831--852. 【36】Jiequan Li, On the uniqueness and existence problem for a multidimensional reacting and convection system, Journal of the London Mathematical Society, 62 (2000), 473-- 488.

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