蒋琰，女，现任数学科学学院教授。研究方向为科学计算。
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
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.
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.