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Xuan Zhao ( 赵 璇 )

Personal Info

Date of Birth: 1987. 04

Nationality: China

Email: xuanzhao11@gmail.com; xuan_zhao_1@brown.edu;

Address: 182 George St, Providence, RI, USA, 02912

Current Position

Postdoctoral Research Associate

Division of Applied Mathematics, Brown University

Mentor:

Prof. George Em Karniadakis

Research Interests

Numerical methods for fractional PDEs and nonlinear PDEs: Finite difference method and Spectral method;Superconvergence; Wave propagation;

Working Experience

Nov 2014 - present, Brown University, Postdoctoral Research Associate, work with: Prof. George Em Karniadakis

July 2014 - Nov 2014, Beijing Computational Science Research Center, Visiting Research Scholar, work with: Prof. Zhimin Zhang

Education

Mar 2011 - June 2014, Southeast University, Doctor degree of Applied Mathematics, Supervisor: Prof. Zhi-zhong Sun

June 2012 - Aug 2013, Brown University, Joint PhD student at Division of Applied Mathematics, Supervisor: Prof. George Em Karniadakis

Aug 2008 - Mar 2011, Southeast University, M.S. of Computational Mathematics, Supervisor: Prof. Zhi-zhong Sun

Sep 2004 - Jun 2008, Nanjing Xiaozhuang College, B.S. of Applied Mathematics

Reviewer for:

Journal of Computational Physics, Applied Mathematical Modelling, Heat Transfer-Asian Research, Mathematics and Computers in Simulation, International Journal of Computer Mathematics, Acta Mathematica Scientia, Numerical Algorithms

Peer-Reviewed Journal Publications:

Google Citations:

http://scholar.google.com/citations?user=ZNuh1dAAAAAJ&hl=en

[1] Xuan Zhao, Zhi-zhong Sun, A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions, Journal of Computational Physics, 230 (2011), 6061-6074.

[2] Juan Li, Zhi-zhong Sun, Zhao Xuan, A three level linearized compact difference scheme for the Cahn-Hilliard equation, Sci China Math, 55 (2012), 805-826.

[3] Ya-nan Zhang, Zhi-zhong Sun, Xuan Zhao, Compact alternating direction implicit schemes for the two-dimensional fractional diffusion-wave equation, SIAM Journal on Numerical Analysis., 50 ( 2012) , 1535-1555.

[4] Jin-cheng Ren, Zhi-zhong Sun, Xuan Zhao, Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions, Journal of Computational Physics, 232 (2013), 456-467.

[5] Xuan Zhao, Qinwu Xu, Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient, Applied Mathematical Modelling, 38 (2014) 3848-3859.

[6] Xuan Zhao, Zhi-zhong Sun, Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium, Journal of Scientific Computing, 62 (2014) 747-771.

[7] Xuan Zhao, Zhi-zhong Sun, George Em Karniadakis, Second order approximations for variable order fractional derivatives: Algorithms and applications, Journal of Computational Physics, Special Issue on Fractional PDEs, (2014) doi:10.1016/j.jcp.2014. 08.015

[8] Xuan Zhao, Zhi-zhong Sun, Zhao-peng Hao, A fourth-order compact ADI scheme for 2D nonlinear space fractional Schrödinger equation, SIAM Journal on Scientific Computing, SIAM Journal on Scientific Computing. 36-6 (2014), pp. A2865-A2886.

[9] Haiyan Cao, Zhi-zhong Sun, Xuan Zhao, A second-order three-level difference scheme for a Magneto-Thermo-Elasticity Model, Adv. Appl. Math. Mech., 6 (2014), 281-298.

[10] Xuan Zhao, Zhimin Zhang, Superconvergence points of fractional spectral interpolation, arXiv:1503.06888

Conferences and Invited Talks:

[1] 2011. 7. 28-31, Symposium on Computational Science, Engineering and Finance, Kunming, China. Title: A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions (20 mins).

[2] 2012. 6. 15,Division of Applied Mathematics, Brown University, CRUNCH SEMINAR. Title:Introduction to Fractional Calculus, Its Application and Numerical method (60 mins).

[3] 2012.11.25-28, 4th international conference on computational methods, Gold Coast, Australia. Title:A compact scheme for fractional sub-diffusion equation with variable coefficient (20 mins).

[4] 2013. 2. 7,Division of Applied Mathematics, Brown University, Prof. Chi-wang Shu’s group meeting. Title:Introduction to Fractional Calculus, Its Application and two FDM algorithms for TFPDEs (60 mins).

[5] 2013. 11. 14, Institute of Computational Mathematics and Science/Engineering Computing, Chinese Academy of Science. Title:Variable order fractional derivative for the numerical simulation of waves (40 mins).

[6] 2014. 06. 23-25,International Conference on Fractional Differentiation and its Applications, Catania, Italy. Title:Second order approximations for variable order fractional derivatives and the simulation of waves (15 mins).

[7] 2014. 10. 30, Institute of Computational Mathematics and Science/Engineering Computing, Chinese Academy of Science. Title:Second-order approximations for variable order fractional derivatives: Algorithms and applications (60 mins).

Organizing Services:

[1] 2013. 6. 3-5, International Symposium on Fractional PDEs: Theory, Numerics and Applications, Newport, RI, USA

http://www.dam.brown.edu/International%20Symposium/about.htm

[2] 2014. 5. 30, Annual meeting of computational mathematics of Jiangsu province, Nanjing, Jiangsu, China

Funds

[1] Innovation Project for College Graduates of Jiangsu Province, No. CXLX11_0093, from 2011.06 to 2013.06, in charge.

[2] National Natural Science Foundation of China, No. 11271068, form 2013.01-2016.12, participant.

T. A. Experience

[1] 2009.9-2010.6, Advanced Mathematics, Southeast University, Instructor: Dan He

[2] 2013.5, Short course of fractional partial differential equation, Brown University, Instructor: Prof. Fa-Wang Liu and Prof. Zhi-Zhong Sun

[3] 2013.11-12, Short course of Spectral Element Method, Peking University, Instructor: Prof. George Em Karniadakis

Conferences going to be held

[1] The 8th International Congress on Industrial and Applied Mathematics, Aug. 10-14, Beijing, China.

http://www.iciam2015.cn

xuan_zhao.1428193510.txt.gz · Last modified: 2015/04/04 20:25 by xzhao