Research Interests

• Image Segmentation
• Geostatistics
• Random field generation and conditioning
• Hyperbolic Conservation Laws, Numerical Method for PDE
• Scientific Computation, Parallel Computing
• Electrophysiology of heart

• Numerical Simulation of Free Surface MHD Flows: Richtmyer-Meshkov Instability and Applications,
  R. Samulyak, J. Glimm, W. Oh, H Kirk, K. McDonald,
  Lecture Notes in Comp. Sci., Springer-Verlag, Berlin-Heidelberg, May 2003 (to be published)
   
• Jet Breakup and Spray Formation in a Diesel Engine,
  J. Glimm, X. L. Li, W. Oh, A. Marchese, M.-N. Kim, R. Samulyak, C. Tzanos,
  Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, 2003 (to be published).
   
• A Critical Analysis of Rayleigh-Taylor Growth Rates, with J Glimm, J. Grove, X. Li, D. Sharp,
  Journal of Computational Physics, 169 (2001), No. 2, pp. 652-667
   
• Random Field Simulation and an Application of Kriging to Image Thresholding
  December 1998, Ph.D. Dissertation, Department of Applied Mathematics and Statistics,
  State Universite of New York at Stony Brook
   
• Image Thresholding by Indicator Kriging, with W. B. Lindquist,
  Transactions on Pattern Analysis and Machine Intelligence 21 (1999), No. 7, pp. 590--602
   
• Direct Numerical Calculation of Neutral Stability Curve  for One-Dimensional Detonations,
  with W. Cai and Y. Zhu,
  SIAM J. of Sci. Comp. 17 (1996), No. 4, pp. 814-829.
   
• A Stochastic Kriging algorithm,  with W. B. Lindquist, and A. Venkatarangan,
  Technical Report SUNYSB-AMS-94-17,
  Dept. of Applied Mathematics and Statistics, SUNY at Stony Brook.
   
• Symbolic Calculus of Hermite Operators, with K. H. Kwon,
  Comm. Korean Math.  Soc. 2 (1987), No. 2, pp. 151-160.

Software

• 3DMA, A Package for geometric analysis of 2-and 3D biphase images
• C++ image segmentation code: Versions 1.0 1.2 1.4 1.4.2 described in the paper Image Thresholding by Indicator Kriging
  
• PEST, Random Field Generator
• Bidomain Equation Solver and utility. This code are still experimental.
• FronTier-Res code, packages and a sample input and output. This code is still experimental.

Talks Presented

• An Introduction to MPI-2,  Jan. 28, 1998
  Department of Applied Mathematics and Statistics, State University of New York at Stony Brook.
   
• Incorporating stochastic medium characterization , Oct. 27, 1997,
  Long Island Groundwater Research Institute (LIGRI) Seminar.
   
• Image Segmentation by Indicator Kriging, Sep. 24, 1997,
  Department of Applied Mathematics and Statistics, State University of New York at Stony Brook