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Yen-Hsi Tsai

  • Professor
  • Mathematics
Profile image of Yen-Hsi Tsai
ytsai@math.utexas.edu
PMA
11.160
Yen-Hsi Tsai

Biography

Yen-Hsi "Richard" Tsai Richard Tsai received his PhD. in mathematics in 2002 from UCLA. He was a Veblen Instructor at Princeton University and the Institute for Advanced Study before joining UT. Tsai was born in Taiwan and has lived in the United States since 1997.

Tsai's current focus is on developing machine learning approaches that complement the more classical techniques for challenging scientific computing tasks. The types of scientific computing problems are multiscale coupling algorithms for initial value problems, nonlinear interface dynamics, partial differential equations on surfaces, multiscale modeling, wave propagation, image processing, sensor networks, robotic path planning problems.

Research

Applied Mathematics

Multiscale modeling and computations, Computational interface problems, Computational inverse problems, Robotic path planning problems, Numerical high frequency wave propagation, Image processing

Center for Numerical Analysis, Institute for Computational Engineering and Sciences

Research Areas

  • Mathematics
  • AI for Health or Computational Science

Fields of Interest

  • Applied and Computational Mathematics
  • Analysis

Education

  • Ph.D., UCLA (2002)

Publications

  • REFEREED JOURNALS

    Automatic Polyp Detection in Pillcam Colon 2 Capsule Images and Videos: Preliminary feasibility Report, P. Figueiredo, I. N. Figueiredo, V. B. S. Prasath and R. Tsai. Diagnostic and Therapeutic Endoscopy, vol. 2011, Article ID 182435, 7 pages, 2011.

    Discovery of point sources in the Helmholtz equation posed in unknown domains with obstacles, Y. Landa, N. Tanushev, and R. Tsai. Comm. in Math. Sci., Vol.9, Is.3, p.903-928, 2011.

    Gaussian Beam Decomposition of High Frequency Wave Fields Using Expectation-Maximization, G. Ariel, B. Engquist, N. Tanushev, and R. Tsai. J. Comput. Phys. Vol. 230, Is.6, p.2303-2321, 2011 

    Numerical methods for smooth and crystalline mean curvature flow, A. Oberman, S. Osher, R. Takei, and R. Tsai. Commun. Math. Sci. Vol. 9, No 3, pp. 637-662, 2011

    A level set method for the Schrodinger equation with discontinuous potentials, D. Wei, S. Jin, R. Tsai, and X. Yang J. Comput. Phys., 229, 7440–7455, 2010

    Diffusion generated motion using signed distance functions, S. Ruuth, S. Esedoglu, and R. Tsai. J. Comput. Phys. 229 (4), 2010.

    BOOKS
    Numerical Analysis of Multiscale Computations, B. Engquist, O. Runborg, and Y.-H. R. Tsai,
    Lecture Notes in Computational Science and Engineering 82, Springer-Verlag, 2011

Awards

  • Frank Gerth III Research Fellowship, 2007-present.
  • Alfred P. Sloan Fellowship, 2006-2008.
  • Visiting Fellowship of the Isaac Newton Institute for Mathematical Sciences, 2007.
  • Veblen Research Instructorship, Institute for Advanced Study and Princeton University, 2002-2004.
  • The FEMLAB Prize, April 2002.