Lee, Chung-min
Contact Information
Education
| Ph.D. in Mathematics: Indiana University at Bloomington, 2007 |
| Dissertation: On Phase Reconstruction |
| Advisor: Jacob Rubinstein |
|
| M.S. in Mathematics: National Taiwan University, 2000 |
| Thesis: Domain-Compactization Method and Its Applications |
| Advisor: I-Liang Chern |
|
| B.S. in Mathematics: National Taiwan University, 1998 |
Teaching
Courses
MATH 695 Introduction to the Finite Element Method, Fall 2008
MATH 579 Advanced Mathematical Modeling, Spring 2014, 2016, 2018, 2020
MATH 577 Numerical Solution of Partial Differential Equations, Spring 2012
MATH 570 Partial Differential Equations, Spring 2008
MATH 564 Applied Nonlinear Ordinary Differential Equations, Fall 2011, 2012, 2015, 2016, 2019
MATH 563 Applied Analysis, Fall 2013, 2017
MATH 520 Finite Element Method, Spring 2011, 2013, 2017, 2021
MATH 485 Mathematical Optimization, Fall 2007
MATH 479 Mathematical Modeling, Spring 2014, 2016, 2018, 2020
MATH 470 Introduction to Partial Differential Equations, Fall 2010, 2015, 2020
MATH 370A Applied Mathematics I, Fall 2007, 2008, 2011, 2012, 2013, Spring 2013, 2017
MATH 364A Ordinary Differential Equations I, Spring 2021
MATH 323 Introduction to Numerical Analysis, Spring 2009, Fall 2017
MATH 247 Introduction to Linear Algebra, Spring 2008
MATH 224 Calculus III, Fall 2012, 2013, 2016, 2019
MATH 123 Calculus II, Spring 2011, 2012, 2013, 2019
MATH 122 Calculus I, Fall 2010, 2011, 2020
Pre-Calculus Summer I, 2005; Fall 2006.
Recitation for third semester Calculus, Fall, 2005.
Recitation for first semester Calculus, Fall, 2003, 2004.
Research Work
I am interested in scientific or engineering problems that modeled by partial differential equations.
My thesis topics is phase reconstruction using intensities. Since then I have branched into other areas such as shock interaction problems, particles movements in turbulence and pedestrian dynamics.
Alessandro Corbette, Jasper A. Meeusen, Chung-min Lee, Roberto Benzi and Federico Toschi,
Physics-based modeling and data representation of pairwise interactions among pedestrians,
Physical Review E, 98, (2018) 062310.
Alessandro Corbetta, Chung-min Lee, Roberto Benzi, Adrian Muntean and Federico Toschi,
Fluctuations around mean walking behaviours in diluted pedestrian flows,
Physical Review E, 95, (2017) 032316.
Alessandro Corbetta, Chung-min Lee, Roberto Benzi, Adrian Muntean and Federico Toschi,
Fluctuations around mean walking behaviours in diluted pedestrian flows,
Physical Review E, 95, (2017) 032316.
Alessandro Corbetta, Chung-min Lee, Adrian Muntean, and Federico Toschi,
Frame vs. trajectory analyses of pedestrian dynamics asymmetries in a staircase landing,
Collective Dynamics, 1 (2017), 1 -- 26.
Alessandro Corbetta, Jasper A. Meeusen, Chung-min Lee, and Federico Toschi,
Continuous measurements of real-life bidirectional pedestrian flows on a wide walkway,
Proceedings of Pedestrian and Evacuation Dynamics 2016, 18-24, (2016).
Alessandro Corbetta, Chung-min Lee, Adrian Muntean, and Federico Toschi,
Asymmetric pedestrian dynamics on a staircase landing from continuous measurements,
Traffic and Granular Flows '15, ch 7, (2016).
Chung-min Lee, Armann Gylfason, Prasad Perlekar, and Federico Toschi,
Inertial particle acceleration in strained turbulence,
Journal of Fluid Mechanics, vol 785, (2015), 31 -- 53.
Yi-Chun Chen, Po-Chih Lin, Chung-Min Lee, and Chao-Wen Liang,
Iterative phase-shifting algorithm immune to random phase shifts and tilts,
Applied Optics, vol 52(14), (2013), 3381 -- 3386.
Eun Heui Kim and Chung-min Lee,
Numerical solutions to shock reflection and shock interaction problems for the self-similar transonic two-dimensional nonlinear wave systems,
Journal of Computational Science, vol 4, (2013), 36 -- 45.
Eun Heui Kim and Chung-min Lee,
Transonic shock reflection problems for the self-similar two-dimensional nonlinear wave system,
Nonlinear Analysis: Theory, Methods and Applications, vol 79, (2013), 85 -- 102.
Eun Heui Kim and Chung-min Lee,
Numerical solutions of transonic two-dimensional flows at a ninety-degree wedge,
Communications in Nonlinear Science and Numerical Simulation, vol 17, issue 11(2012), 4241 -- 4249.
Armann Gylfason, Chung-min Lee, Prasad Perlekar and Federico Toschi,
Direct numerical simulation on strained turbulent flows and particles within,
13th European Turbulence Conference (ETC13), Warsaw, Poland;
J. Phys.: Conf. Ser. vol 318 052003; doi:10.1088/1742-6596/318/5/052003, (2011).
Po-Chih Lin, Yi-Chun Chen, Chung-Min Lee and Chao-Wen Liang,
A subaperture stitching algorithm for aspheric surfaces,
Optical Measurement Systems for Industrial Inspection, SPIE Optical Metrology, Munich, Germany;
Proc. SPIE 8082, 80821G (2011); doi:10.1117/12.889098.
Eun Heui Kim and Chung-min Lee,
Numerical Solutions to the self-similar transonic two-dimensional nonlinear wave system,
Mathematical Methods in the Applied Sciences, vol 34, issue 3(2011), 249 -- 261.
Bo-Jhih Lin, Yi-Chun Chen, Chung-Min Lee and Chao-Wen Liang,
An Iterative Tilt-Immune Phase-Shifting Algorithm,
Optical Fabrication and Testing, OSA Technical Digest (CD) (Optical Society of America, 2010), paper OMA6.
Chungmin Lee, John Lowengrub, Jacob Rubinstein and Xiaoming Zheng,
Phase reconstruction by the weighted least action principle,
Journal of Optics A: Pure and Applied Optics, vol 8(2006) 279 -- 289.
Chung-min Lee and Jacob Rubinstein,
Elliptic equations with diffusion coefficient vanishing at the boundary: Theoretical and computational aspects,
Quarterly of Applied Mathematics, vol 64 (2006) 735--747.
Patent: Y.C. Chen, S.S. Lee, C.M. Lee, C.W. Chen, H.Y. Chang, G.B. Yeh, C.K. Lee, S.T. Lin, C.T. Hsieh and W.L. Chen,
Optical Wavefront Analyzer and Method Using A Single Wave Shifter,
US Patent, Patent No. 6115126, Sep., 2000.