Xin Tong's Homepage

Welcome to my homepage. Xin is pronounced as Shin.

About me

I am a Ph.D. condidate in Department of Mathematics, Statistics and Computer Science at the University of Illinois at Chicago as a Ph.D. student in Fall 2014.

My current research project is High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances. My advisor is David Nicholls.

Teaching

Spring 2020

MATH 220: Differential Equations

• Webpage
• Tuesday Worksheets Week1, Week2, Week3, Week4, Week5, Week6, Week7, Week8, Week9, Week10, Solutions Week1Sol, Week2Sol, Week3Sol,
• Thursday Worksheets Week1, Week2, Week3, Week4, Week5, Week7, Week8, Week9, Week10, Solutions 2.2 SeparEqn, 2.3 LinearEqn,
• Woorksheets by sections 7.5 IVP Laplace, 10.2 SoV, 10.3-4 Fourier Series, 10.5-6 HeatWave,
• Solution by sections 2.2 SeparEqn, 2.3 LinearEqn, 2.4 ExactEqn, 3.2, 3.4 Applications, 4.2 HomoEqn, 4.3 HomoComplex, Exam 1Pre, 4.4-5 MUC, 4.6 VOP, 4.7 VariableCoef, 7.2-4 Laplace1, Exam 2Pre, 7.4 PFD, 7.5 IVP Laplace, 10.2 SoV, 10.3-4 Fourier Series, 10.5-6 HeatWave

Fall 2019

MATH 165: Calculus for Business

Summer 2019

MATH 194: Precalculus

MATH 194: Calculus 2

Research Interest

• Numerical analysis and computational science
• Spectral Methods
• High order methods for boundary value problems of mathematical physics

Publications

1. D. P. Nicholls and X. Tong, "High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Graphene Nanotubes," Submitted, download.
2. D. P. Nicholls and X. Tong, "Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators," Submitted, download.
3. D. P. Nicholls and X. Tong, "High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions," Journal of Scientific Computing, Volume 76, Issue 3, 1370-1395 (2018) download .
4. S-C. T. Choi, Y. Ding, F. J. Hichernell, X. Tong, "Local Adaption for Approximation and Minimization of Univariate Functions," Journal of Complexity, Volume 40, 17-33, 1370-1395 (2017) download .
5. S-C. T. Choi, Y. Ding, F. J. Hickernell, L. Jiang, Ll. A. Jimenez Rugama, X. Tong, Y. Zhang, X. Zhou, "GAIL: Guaranteed Automatic Integration Library (versions 1.0-2.3)," MATLAB software, 2013–2019. URL

Presentations

1. "A Brief Introduction to GAIL (Guaranteed Automatic Integration Library) Version 2.3," Practice and Experience in Advanced Research Computing (PEARC19), Chicago, IL, July 2019 download
2. "Simulation of Localized Surface Plasmon Resonances via Dirichlet–Neumann Operators and Impedance–Impedance Operators," The Mathematics of Finite Elements and Applications 2019 (MAFELAP 2019), London, UK, June 2019 download
3. "A Non-Overlapping Domain Decomposition Method for Simulating Localized Surface Plasmon Resonances: High Accuracy Numerical Simulation," SIAM Conference on Computational Science and Engineering (CSE19), Spokane, Washington, Feb-Mar 2019 download
4. "High-order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances," 2018 Society for Industrial and Applied Mathematics (SIAM) Annual Meeting (AN18), Portland, Oregon, July 2018 download
5. "A Locally Adaptive Algorithm for Global Minimization of Univariate Functions," 2018 Society for Industrial and Applied Mathematics (SIAM) Annual Meeting (AN18), Portland, Oregon, July 2018 download
6. "High-Order Perturbation of Surfaces Algorithms for the Simulation of localized Surface Plasmon Resonances," Chicago Area SIAM Student Conference (CASSC) 2018, Illinois Institute of Technology, April 2018. download
7. "High-Order Perturbation of Surfaces Method for Bounded-Obstacle Scattering in Polar Coordinates," Hybrid Numerical Methods Meeting, Lawrence Berkeley National Laboratory, June 2016. download
8. "A Guaranteed, Adaptive, Automatic Algorithm for Univariate Function Minimization," ACNW Optimization Workshop, Northwestern University, June 2015. download

Contact Information

Email: xtong20@uic.edu

Office: SEO 1319
Department of Mathematics, Statistics, and Computer Science (M/C 249)
University of Illinois at Chicago
851 S. Morgan Street
Chicago, IL 60607-7045