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Yen-Hsi Tsai

Professor, Core Faculty, Oden Institute
Department of Mathematics, Oden Institute

Applied Mathematics


Office Location

Postal Address
AUSTIN, TX 78712

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 


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.

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.