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蒋琰

蒋琰,女,现任数学科学学院教授。研究方向为科学计算。

  • 中文名:蒋琰
  • 所在单位:数院计算与应用数学系
  • 学历:博士(中国科学技术大学,2015)
  • 职称:教授
  • 研究方向:科学计算

个人简介

学习工作简历

2006 - 2010         B.S. in Mathematics, 
                            Department of Mathematics, USTC.


2013 - 2015         Visiting Student, 
                            Division of Applied Mathematics, Brown University, 
                            Advisor: Chi-Wang Shu


2010 - 2015         Ph.D. in Mathematics, 
                            Department of Computational and Applied Mathematics, USTC.
                            Advisor: Mengping Zhang and Chi-Wang Shu


2015 - 2018         Visiting Assistant Professor,
                            Department of Mathematics, Michigan State University,
                            Mentor: Andrew Christlieb


2018 -                 Research Professor,
                            School of Mathematical Sciences, University of Science and Technology of China.


研究兴趣

Finite difference / volume essentially non-oscillatory (ENO) and weighted ENO (WENO) methods

Finite element discontinuous Galerkin methods

Method of lines transpose approaches

Computational fluid dynamics


联系信息

   办 公 室           管理科研楼1631

   电子邮件          jiangy@ustc.edu.cn    

 个人主页          点击此处访问         


教学情况

At MSU

SS18: Instructor, MTH 124 A Survey of Calculus.

FS16: Instructor, MTH 132 Calculus I.

SS16: Instructor, MTH 132 Calculus I.


At USTC

FS12: TA, Numerical solution of PDEs.

FS11: TA, Numerical solution of PDEs.

FS10: TA, Numerical solution of PDEs.


研究情况

Journal Publications


1.Y. Jiang, C.-W. Shu and M. Zhang, An alternative formulation of finite difference weighted ENO schemes with Lax-Wendroff time discretization for conservation laws, SIAM Journal on Scientific Computing, v35 (2013), pp.A1137-A1160.


2.Y. Jiang, C.-W. Shu and M. Zhang, Free-stream preserving finite difference schemes on curvilinear meshes, Methods and Applications of Analysis, v21 (2014), pp.1-30.


3.Y. Jiang, C.-W. Shu and M. Zhang, High order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates, Mathematical Models and Methods in Applied Sciences (M3AS), v25 (2015), pp.1553-1588.


4.A. Christlieb, W. Guo and Y. Jiang, A WENO-based method of lines transpose approach for Vlasov simulations, Journal of Computational Physics, v327 (2016), pp. 337-367.


5.V. A. Bokil, Y. Cheng, Y. Jiang and F. Li, Energy stable discontinuous Galerkin methods for Maxwells equations in nonlinear optical media, Journal of Computational Physics, v350 (2017), pp. 420-452.


6.V. A. Bokil, Y. Cheng, Y. Jiang, F. Li, and P. Sakkaplangkul, High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media, Journal of Scientific Computing, v77 (2018), pp. 1-42.


7.A. Christlieb, X. Feng, Y. Jiang and Q. Tang, A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes, SIAM Journal on Scientific Computing, to appear.


Conference Proceedings

B. Dong, S. Gottlieb, Y. Hristova, Y. Jiang and H. Wang, The effect of the sensitivity parameter in weighted essentially non-oscillatory methods, In S. Brenner (Ed.), Topics in Numerical Partial Differential Equations and Scientific Computing, The IMA Volumes in Mathematics and its Applications, vol. 160, Springer New York, 2016, pp. 23-50.



Preprints


A. Christlieb, W. Guo, Y. Jiang, H. Yang, A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws, submitted to Journal of Computational Physics.


A. Christlieb, W. Guo and Y. Jiang, Kernel based high order "explicit" uncondtionally stable scheme for nonlinear degenerate advection-diffusion equations, submitted to SIAM Journal on Scientific Computing.


A. Christlieb, W. Guo and Y. Jiang, A kernel based high order "explicit" unconditionally stable scheme for time dependent Hamilton-Jacobi equations, submitted to Journal of Computational Physics.


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蒋琰教授本科、博士阶段均毕业于中国科学技术大学数学学院,现任数学科学学院教授。研究方向为科学计算。

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