Research

My research focuses on numerical methods for partial differential equations (PDEs) and scientific computing. I have been working on the following several areas

new Eulerian techniques to approximate high frequency asymptotic solutions to wave phenomena and their related inverse problems,
numerical methods for interfacial motions, and
variational and statistical methods for image processing.

Publications


Thesis

Shingyu Leung, Applications of the Level Set Method to Geometrical Optics, Transmission Tomography, Image Processing and Crystal Growth Modeling, PhD Thesis, May 2006.
Shingyu Leung, Numerical Experiments on the Unified Coordinates System for Two Dimensional Steady Flow, MPhil Thesis, June 2001.

Research Notes

Shingyu Leung, A Localized Linearized ROF Model for Surface Denoising, 2008.
Shingyu Leung and Stanley Osher, An Alternating Direction Explicit (ADE) Scheme for Time-Dependent Evolution Equation, 2005.
Shingyu Leung, John Lowengrub and Stanley Osher, An Adaptive Level Set Method for Stefan Problems, 2004.

Postdoc

  1. Boxi Xu (2014-2017). Shanghai University of Finance and Economics.
  2. Jun Liu (2011-2012). Beijing Normal University.

Graduate Students

PhD

  1. Xinyu LIU. PhD (2021-).
  2. Chun Kit HUNG. MPhil (2019-2021), PhD (2021-).
  3. Kwun Lun CHU. PhD (2017-2020). Current: Hong Kong Baptist University, Hong Kong.
  4. Hao LIU. PhD (2014-2018). Current: Hong Kong Baptist University, Hong Kong.
  5. Ningchen Ying. PhD (2013-2017). Current: FinTech, Hong Kong.
  6. Meng WANG. PhD (2011-2015). Current: Citibank, Hong Kong.
  7. Wenbin LI. PhD (2010-2014). Current: Harbin Institute of Technology, Shenzhen, China.
  8. Guoqiao YOU. PhD (2010-2014). Current: Nanjing Audit University, China.

MPhil

  1. Kin Ting Ken HUNG. MPhil (2021-).
  2. Ki Wai FONG. MPhil (2020-).
  3. Young Kyu LEE. MPhil (2019-).
  4. Kaho HO. MPhil (2019-). Current: Secondary School Teacher, Hong Kong.
  5. Siyang WEI. MPhil (2017-2019). Current: PhD, UC Irvine.
  6. Haiyi Helen TAN. MPhil (2017-2019). Current: Start-up, Shenzhen, China.
  7. Yu-Keung NG. MPhil (2016-2018). Current: Data Scientist, Laboratory for AI-Powered Financial Technologies Limited, Hong Kong.
  8. Wing-Fai Andy KWAN. MPhil (2015-2017). Current: Data Scientist, Hong Kong.
  9. Ka-Wah Tony WONG. MPhil (2014-2016). Current: Postdoc, Brown University.
  10. Yu-Sing Sean HON. MPhil (2012-2014). Current: Hong Kong Baptist University, Hong Kong.