所在单位：北京应用物理与计算数学研究所
导师职称：研究员，博士生导师
电子邮箱：cheng_juan@iapcm.ac.cn
招生专业：计算数学
研究方向：偏微分方程数值解
一、教育经历
l 1989年，南京大学数学系，学士
l 2001年,南京航空航天大学空气动力学系，博士
二、工作经历
l 1992-2003：南京航空航天大学航空宇航学院,助教/讲师/副教授
l 2004-至今：北京应用物理与计算数学研究所，副研究员/研究员
三、研究方向及简介
偏微分方程数值解：面向具有实际应用背景的流体力学、辐射输运、辐射流体力学、哈密顿-雅克比等偏微分方程，研究高精度、健壮、高效数值方法。涉及有限体积方法、有限元方法、有限差分方法以及其它现代计算方法的设计、理论分析与数值仿真。
四、个人荣誉、所获奖项
l 2014-至今：“Journal of Computational Physics”期刊编委
l 2014-至今：“计算数学”期刊编委
l 2020-至今：“计算物理”期刊编委
l 2017-至今：北京计算数学学会副理事长
l 2019-至今：中国工业与应用数学学会（CSIAM）竞赛工作委员会副主任
l 2018-至今：中国空气动力学学会物理气体动力学专业委员会委员
l 2019-至今：中国数学会计算数学专业委员会委员
l 1997：获航空航天工业部科技进步奖二等奖
l 2015：获中国工程物理院科技创新奖二等奖
l 2021-2025：主持国家自然科学基金重点项目
五、代表性论文及成果
1. N. Lei, J. Cheng, C.-W. Shu, A high order positivity-preserving conservative WENO remapping method on 2D quadrilateral meshes,Computer Methods in Applied Mechanics and Engineering, 373, 113497, 2021.
2. J. Cheng, C.-W. Shu, P. Song, High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in equilibrium limit,Journal of Computational Physics, 421,109724, 2020.
3. M. Zhang, J. Cheng, W. Huang, J. Qiu, An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation,Communications in ComputationalPhysics, 27, 1140-1173, 2020.
4. Y. Li, J. Cheng, Y. Xia, C.-W. Shu, On moving mesh WENO schemes with characteristic boundary conditions for Hamilton-Jacobi equations,Computers & Fluids, 205, 104582, 2020.
5. M. Zhang, J. Cheng,J. Qiu, High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes,Journal of Computational Physics, 397, 108811, 2019.
6. Y. Li, J. Cheng, Y. Xia, C.-W. Shu, High order arbitrary Lagrangian-Eulerian finite difference WENO scheme for Hamilton-Jacobi equations,Communications in Computational Physics, 26, 1530-1574, 2019.
7. D. Ling, J. Cheng,C.-W. Shu, Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations,Journal of Scientific Computing, 77, 1801–1831, 2018.
8. D. Ling, J. Cheng, C.-W. Shu,Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates,Computers & Fluids, 157, 112–130, 2017.
9. D. Yuan, J. Cheng, C.-W. Shu, High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations,SIAM Journal of Scientific Computing, 38, A2987-A3019, 2016.
10. J. Cheng,C.-W. Shu,Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates,Journal of Computational Physics, 272, 245-265, 2014.
11. J. Cheng,C.-W. Shu,Positivity-preserving Lagrangian scheme for multi-material compressible flow,Journal of Computational Physics, 257, 143-168, 2014.
12. J. Cheng,C.-W. Shu, Q. Zeng, A conservative Lagrangian scheme for solving compressible fluid flows with multiple internal energy equations,Communications in Computational Physics, 12, 1307-1328, 2012.
13. J. Cheng,C.-W. Shu, Improvement on spherical symmetry in two-dimensional cylindrical coordinates for a class of control volume Lagrangian schemes,Communications in Computational Physics,11, 1144-1168, 2012.
14. J. Cheng,C.-W. Shu, A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry,Journal of Computational Physics, 229, 7191-7206, 2010.
15. J. Cheng,C.-W. Shu, High order schemes for CFD: a review，Chinese Journal of Computational Physics, 26, 633-655, 2009.
16. W. Liu, J. Cheng, C.-W. Shu, High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations,Journal of Computational Physics, 228, 8872-8891, 2009.
17. J. Cheng,C.-W. Shu, A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations,Communications in Computational Physics, 4, 1008-1024, 2008.
18. J. Cheng,C.-W. Shu, A high order accurate conservative remapping method on staggered meshes, Applied Numerical Mathematics,58,1042-1060, 2008.
19. J. Cheng,C.-W. Shu,A highOrder ENO conservative Lagrangian type scheme for the compressible Euler equations,Journal of Computational Physics, 227, 1567-1596, 2007.