杨志国Zhiguo Yang
长聘教轨副教授Tenure-track Associate Professor

办公室??Office：
431
办公接待时间??Office Hour：

办公室电话??Office Phone：
总机（Telephone Exchange）×
E-mail：
yangzhiguo at sjtu.edu.cn
教育背景??Education：
博士，2017，新加坡南洋理工大学
Ph.D., 2017, Nanyang Technological University

研究兴趣??Research Interests：
计算数学
Computational mathematics; high order methods; spectral and spectral element methods; computational fluids; computational electromagnetics

教育背景/经历　Education
2012/08-2017/02 Doctor of Philosophy, Mathematics, Nanyang Technological University, Singapore
工作经历　Work Experience
2016/08-2017/01 Research Assistant at Nanyang Technological University, Singapore;
2017/01-2017/07 Research Fellow at Nanyang Technological University, Singapore;
2017/08-2020/05 Golomb Visiting Assistant Professor at Purdue University, US;
2020/09-Present Tenure-Track Associate Professor at Shanghai Jiao Tong University, China
发表论文 Publication
[13]Yanxia Qian, Zhiguo Yang, Suchuan Dong,gPAV-based unconditionally energy-stable schemes for the Cahn-Hilliard equation: stability and error analysis. Computer Methods in Applied Mechanical Engineering, Vol 372, 113444, 2020.
[12] Fukeng Huang, Jie Shen, Zhiguo Yang (corr), A highly efficient and accurate new scalar auxiliary variable approach for gradient flows. SIAM Journal of Scientific Computing, Vol. 42(4), A2514-A2536, 2020.

[11] Lianlei Lin, Naxian Ni, Zhiguo Yang, Suchuan Dong, An energy-stable scheme for incompressible Navier-Stokes equations with periodically updated coefficient matrix. Journal of Computational Physics, Vol. 418, 109624 , 2020.

[10] Zhiguo Yang, Suchuan Dong, A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. Journal of Computational Physics, Vol. 404, 109-121, 2020.

[9] Zhiguo Yang, Suchuan Dong, An unconditionaly energy-stable scheme based on an implicit energy variable for incompressible two-phase flows of different densities involving only precomputable coefficient matrices. Journal of Computational Physics, Vol. 393, 229--257, 2019.

[8] Lianlei Lin, Zhiguo Yang, Suchuan Dong, Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable. Journal of Computational Physics, Vol. 388, 1--22, 2019.

[7] Naxian Ni, Zhiguo Yang, Suchuan Dong, Energy-stable boundary conditions based on a quadratic form: applications to outflow/open-boundary problems in incompressible flows. Journal of Computational Physics, Vol. 391, 179--215, 2019.

[6] Zhiguo Yang, Lianlei Lin, Suchuan Dong, A family of second-order energy-stable schemes for Cahn–Hilliard type equations.Journal of Computational Physics, Vol. 383, 24--54, 2019.

[5] Lina Ma, Jie Shen, Li-Lian Wang, Zhiguo Yang, Wavenumber explicit analysis of spectral-galerkin methods for time-harmonic Maxwell equations in exterior domains. IMA Journal of Numerical Analysis, Vol. 38(2), 810--851, 2018.

[4] Zhiguo Yang, Suchuan Dong. Multiphase flows of N immiscible incompressible fluids: An outflow/open boundary condition and algorithm. Journal of Computational Physics, Vol. 366, 33--70, 2018.

[3] Li-Lian Wang, Zhiguo Yang, A perfect absorbing layer for high-order simulation of wave scattering problems. Lecture Notes in Computational Science and Engineering, Vol 119, 81--101, 2017.

[2] Zhiguo Yang, Li-Lian Wang, Zhijian Rong, Bo Wang, Baile Zhang,Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics.Computer Methods in Applied Mechanics and Engineering, Vol. 301, 137-163, 2016.

[1] Zhiguo Yang, Li-Lian Wang, Accurate simulation of circular and elliptic cylindrical invisibility cloaks. Communications in Computational Physics, Vol. 17, 822-849, 2015.



在审论文 Manuscript under review or in revision
Zhiguo Yang, Li-Lian Wang, Yang Gao, A truly exact and optimal perfect absorbing layer for time-harmonic acoustic wave scattering problems. Submitted to SIAM Journal of Scientific Computing, 2020.

Bo Wang, Zhiguo Yang, Li-Lian Wang, Shidong Jiang, On time-domain NRBC for Maxwell‘s equations and its application in electromagnetic invisibility cloaks. Journal of Scientific Computing, accepted, 2020.

教学 Teaching
Teaching as an Instructor at Shanghai Jiao Tong University:

MA127-(2020-2021-1) computational methods/计算方法 学分 2 学时 32 上课时间 3/4节1-16周 闵行上院313 全英文授课


Teaching as an Instructor at Purdue University:

Fall 2019 MA266 Differential Equations and Boundary Value Problems, rated as ``Good ~ Excellent‘‘
Summer 2019 MA265 Linear Algebra and its Applications
One on-campus section and Four online sections, rated as ``Good ~ Excellent‘‘
Spring 2019 MA265 Linear Algebra and its Applications, rated as ``Fair ~ Good‘‘
Fall 2018 MA265 Linear Algebra and its Applications, rated as ``Good ~ Excellent‘‘
Summer 2018 MA265 Linear Algebra and its Applications, rated as ``Good ~ Excellent‘‘
Spring 2018 MA265 Linear Algebra and its Applications, rated as ``Good ~ Excellent‘‘
Fall 2017 MA265 Linear Algebra and its Applications, rated as ``Fair ~ Good‘‘

指导学生
2020级
硕士生 杨笑甜 课题：辐射磁流体的高阶稳定算法
本科生毕业设计 徐玥珠、高文婧 课题：深度GENERIC网络
本科生导师制学生 蒋恩泽、 王黎、陈伟彬 课题：学习有限元外分析的基础知识

2021学年度拟招收一名硕士生和一名博士生，从事计算数学的研究。请有意向者发送详细简历至我的邮箱: yangzhiguo@sjtu.edu.cn。


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