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TSAI, YEN-HSI

Yen-Hsi Tsai

Professor, Core Faculty
Department of Mathematics, Institute for Computational Engineering and Science

Frank E. Gerth III Faculty Fellowships

Applied Mathematics

ytsai@math.utexas.edu


Office Location
RLM

Postal Address
The University of Texas at Austin
MATHEMATICS
2515 SPEEDWAY, Stop C1200
AUSTIN, TX 78712-1202

Ph.D., UCLA (2002)

Research Interests

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

Selected 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

  • 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.