Discover the diverse paths and accomplishments of our Ph.D. graduates.
Explore the academic, professional, and personal impact of earning a Ph.D. in Applied Mathematics at Brown. Learn how our alumni have built on their experiences in the program to shape meaningful careers, and what made their time at Brown so valuable.
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Yong Liu (刘勇) | The study of discontinuous Galerkin methods and reduced basis methods for stochastic partial differential equations. | Chi-Wang Shu | After receiving Ph.D.: Institute of Computational Mathematics and Scientific / Engineering Computing, Chinese Academy of Sciences, postdoc. Currently: Institute of Computational Mathematics and Scientific / Engineering Computing, Chinese Academy of Sciences, Associate Professor. |
| Dr. Qi Tao (陶琪) | Error estimates and superconvergence analysis of discontinuous Galerkin methods. | Chi-Wang Shu | After receiving Ph.D.: Beijing Computational Science Research Center, postdoc. Currently: Beijing University of Technology, Associate Professor. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Liangze Yang (杨良泽) | Modeling and simulation of some traffic problems, and related theory analysis. | Chi-Wang Shu | After receiving Ph.D.: Tsinghua University, Beijing, China, postdoc. Currently: Anhui University, Hefei, China, Assistant Professor. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Xinyue Yu (俞心玥) | Discontinuous Galerkin methods for wave equations: the MLP estimator for the TVB constant in limiters and local DG methods for a carpet cloak model. | Chi-Wang Shu | First job after Ph.D.: TSMC, Principal Engineer. Currently: TSMC, Principal Engineer. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Ziyao Xu (徐梓尧) | High order numerical methods for hyperbolic equations: Bound-preserving and Riemann invariant based system solvers. | Chi-Wang Shu | First job after Ph.D.: University of Notre Dame, postdoc. Currently: University of Notre Dame, postdoc. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Ishani Roy | igh order WENO scheme for computational cosmology. | Chi-Wang Shu | After receiving Ph.D.: Oxford University, postdoc. Currently: Serein, India, Founder. |
| Dr. Wei Liu (刘伟) | Lax-Wendroff type time discretization for the high order Lagrangian schemes and a conservative modification to the ghost fluid method for multimaterial flows. | Chi-Wang Shu | After receiving Ph.D.: Institute of Computational Mathematics and Scientific / Engineering Computing, Chinese Academy of Sciences, postdoc. Currently: Beijing Internet Based Engineering Co., Ltd, Senior R&D Engineer. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Xiangxiong Zhang (张翔雄) | Maximum-principle-satisfying and positivity-preserving high order schemes for conservation laws. | Chi-Wang Shu | After receiving Ph.D.: MIT, postdoc. Currently: Purdue University, Associate Professor. |
| Dr. Rui Zhang (张瑞) | Finite volume WENO schemes and applications. | Chi-Wang Shu | After receiving Ph.D.: University of Science and Technology of China, Lecturer. Currently: University of Science and Technology of China, Lecturer. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Sirui Tan (谭思睿) | Boundary condition and applications of WENO finite difference schemes for hyperbolic problems. | Chi-Wang Shu | After receiving Ph.D.: Los Alamos National Lab, postdoc. Currently: ExxonMobil, Quantitative Analyst. |
| Dr. Xinghui Zhong (仲杏慧) | Wave resolution properties and weighted essentially non-oscillatory limiter for discontinuous Galerkin methods. | Chi-Wang Shu | After receiving Ph.D.: Michigan State University, postdoc. Currently: Zhejiang University, Hangzhou, Professor. |
| Dr. Yuanyuan Liu (刘元元) | WENO methods and the applications in convection diffusion equations. | Chi-Wang Shu | After receiving Ph.D.: Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, postdoc. Currently: Institute of Applied Physics and Computational Mathematics (IAPCM), Beijing, China, Associate Professor. |
| Dr. Tao Xiong (熊涛) | High resolution schemes for solving Hamilton-Jacobi equations and nonconservative hyperbolic systems. | Chi-Wang Shu | After receiving Ph.D.: University of Houston, postdoc. Currently: University of Science and Technology of China, Professor. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Yang Yang (杨扬) | High order numerical methods for hyperbolic equations: superconvergence, and applications to delta-singularities and cosmology. | Chi-Wang Shu | After receiving Ph.D.: Michigan Technological University, Assistant Professor. Currently: Michigan Technological University, Professor. |
| Dr. Yifan Zhang (张逸凡) | Discontinuous Galerkin methods for convection diffusion equations: positivity preserving and multi-scale resolution. | Chi-Wang Shu | After receiving Ph.D.: Acadian Asset Management LLC, Research Analyst. Currently: Millennium Management, Statistical Arbitrage. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Zheng Chen (陈争) | Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities. | Chi-Wang Shu | After receiving Ph.D.: Iowa State University, postdoc. Currently: University of Massachusetts Dartmouth, Associate Professor. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Lei Wu (吴磊) | From kinetic theory to fluid mechanics: viscous surface wave and hydrodynamic limit. | Chi-Wang Shu | After receiving Ph.D.: Carnegie-Mellon University, postdoc. Currently: Lehigh University, Associate Professor. |
| Dr. Jie Du (杜洁) | CPR method with limiters and study on traffic flow models. | Chi-Wang Shu | After receiving Ph.D.: Chinese University of Hong Kong, postdoc. Currently: East China Normal University, Shanghai, Associate Professor. |
| Dr. Yan Jiang (蔣琰) | An alternative formulation of finite difference WENO scheme and numerical simulation of random walk model. | Chi-Wang Shu | After receiving Ph.D.: Michigan State University, postdoc. Currently: University of Science and Technology of China, Associate Professor. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Jianfang Lu (卢键方) | ILW procedure for convection-diffusion equations and RKDG method for correlated random walk model. | Chi-Wang Shu | After receiving Ph.D.: Beijing Computational Science Research Center, postdoc. Currently: South China Research Center for Applied Mathematics and Interdisciplinary Studies, Research Fellow. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Tong Qin (秦通) | Positivity-preserving high order discontinuous Galerkin methods: implicit time stepping and applications to relativistic hydrodynamics. | Chi-Wang Shu | After receiving Ph.D.: Ohio State University, postdoc. Currently: Amazon, Applied Scientist. |
| Dr. Bingyu Zhao (赵冰玉) | Nonlinear limiters for discontinuous Galerkin method. | Chi-Wang Shu | After receiving Ph.D.: Currently: |
| Dr. Tingting Li (李婷婷) | Stability analysis of the inverse Lax-Wendroff boundary treatment for high order finite difference schemes. | Chi-Wang Shu | After receiving Ph.D.: Henan University, China, Lecturer. Currently: Henan University, China, Lecturer. |
| Dr. Qingyuan Liu (刘庆源) | Discontinuous Galerkin methods for weakly coupled hyperbolic multi-domain problems. | Chi-Wang Shu | After receiving Ph.D. University of Science and Technology of China, Ph.D. Currently: Anhui University of Architecture, China, Lecturer. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Will E. Pazner | Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods. | Chi-Wang Shu | After receiving Ph.D.: Virtu Financial, Quantitative Strategist. Currently: Virtu Financial, Quantitative Strategist. |
| Dr. Zheng Sun (孙铮) | Discontinuous Galerkin methods: Stability of time discretizations and applications to gradient flows. | Chi-Wang Shu | After receiving Ph.D.: Ohio State University, Visiting Assistant Professor. Currently: University of Alabama, Assistant Professor. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Tianheng Chen (陈天珩) | High order numerical methods: Entropy stability and deterministic solvers of stochastic PDEs. | Chi-Wang Shu | After receiving Ph.D.: Google, Software Engineer. Currently: Google, Software Engineer. |
| Dr. Kunrui Wang (王坤睿) | The incompressible Navier-Stokes equations: two regularity criteria. | Chi-Wang Shu | After receiving Ph.D.: Google, Software Engineer. Currently: Google, Software Engineer. |
| Ph.D. Recipient | Thesis Title | Advisor | Professional Snapshot |
| Dr. Olga Lepsky | High order numerical approximations of nonlinear Hamilton-Jacobi equations and approximation of elasticity problems using Stokes problems. | Chi-Wang Shu | After receiving Ph.D.: Parametric Technology Corporation, Software Engineer. Currently: Becker College, Associate Professor. |
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