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Curriculum Vitae



Education
Ph.D. in Mathematical Sciences, University of Texas at Arlington
Dissertation: Adaptive Grid Generation
Advisor: Dr. Guojun Liao
December 1998
M. S. in Mathematics, University of South Carolina at Columbia
Thesis: Rearrangement of Series in Normed Spaces
Advisor: Dr. Anton Schep
August 1990
B. S. in Mathematics
Ateneo de Manila University - Philippines
March 1985
Experience
Lecturer
Department of Mathematics, University of Rhode Island
September 2001 - Present
Postdoctoral Research Associate
Department of Mathematics, University of Texas at Arlington
February 2000 - August 2001
Postdoctoral Research Associate/Lecturer
Department of Mathematics, University of Texas at Arlington
February 1999 - July 1999
Graduate Teaching Assistant/Research Assistant
Department of Mathematics, University of Texas at Arlington
August 1993 - December 1998
Graduate Teaching Assistant
Department of Mathematics · University of North Texas
August 1990 - May 1992
Graduate Teaching Assistant
Department of Mathematics, University of South Carolina
August 1988 - August 1990
Assistant Instructor
Department of Mathematics,Ateneo de Manila University
Philippines
June 1985 - May 1988
M. Meisser, J. Biafore, G. dela Pena, J. Byers, M Toukhy and J. Oberlander, Modeling of reactive soluble ARCs and photoresist-ARC interaction , Proceedings of SPIE - Optical Microlithography XVII, Volume 5377, May 2004, pp. 1435-1451.
Publications
Liao, Guojun; Su, Jianzhong; Lei, Zhong; de la Pena, Gary C.; Anderson, Dale A moving finite difference method for partial differential equations. Studia Univ. Babe\c s-Bolyai Math. 49, no. 2, 2004, pp. 3--35.
G. Liao, T. Pan, G. de la Pena, and J. Su, Deformation Method and its Application to Surface Grid Generation., An. \c Stiin \c t. Univ. Al. I. Cuza Ia \c si. Mat. (N.S.), 48, 2002, pp. 305-318.
G. Liao, T. Pan, G. de la Pena, and J. Su, Deformation Method in Grid Generation: Qualitative Behavior, JCommunications in Applied Nonlinear Analysis 12, 2002, pp. 19-29.
G. Liao, Z. Lei, G. dela Pena, Adaptive Grids for Resolution Enhancement, Shock Waves, 12, Springer-Verlag, 2002, pp. 153-156.
Z. Lei, G. Liao, G. de la Pena, D.A. Anderson, Moving Grid Algorithm Based on the Deformation Method, Proceedings of the 7th International Conference on Numerical Grid Generation in Computational Field Simulations, Editors: Soni, Thompson, Hauser, Eiseman, Mississippi State University, 2000, pp. 551-559.
Z. Lei, G. de la Pena, G. Liao, A Moving Grid Algorithm Based on the Deformation Method, Computational Fluid Dynamics, 2000, Proceedings, 1st International Conference on Computational Fluid Dynamics, Kyoto, Japan, N. Satofuka, Ed., Springer-Verlag, 2001, pp. 711-716.
G. Liao, F. Liu, G. de la Pena, D. Peng and S. Osher, Level-Set-Based Deformation Methods for Adaptive Grids, J of Computational Physics, 159, No. 1, 2000, pp. 103-122.
G. Liao, G. de la Pena, G. Liao, A Deformation Method for Moving Grid Generation, Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, October, 1999, pp. 155-162.
P. Bochev, and G. Liao, G. de la Pena, Analysis and Computation of Adaptive Moving Grids by Deformation, Numerical Methods for PDE 12, 1996,pp. 489-501.
Research Interests
  • Adaptive grid generation
  • Numerical solution of partial differential equations
  • Computational fluid dynamics
Computing Skills
Operating Systems: Windows 9x, UNIX/LINUX, VMS
Programming Languages: FORTRAN 77/90, C/C++
Web Applications: HTML, Javascript, Adobe Photoshop, Adobe Acrobat
Mathematical Software: Mathematica, Maple, TECPlot
Desktop Publishing: Latex, MS Word
Webmaster, Department of Mathematics, University of Texas at Arlington, 1996 - 2000 Developed, constructed and maintained the home page of the Department.
Talks
"The Deformation Method Applied to the Incompressible Navier-Stokes Equations", Applied Mathematics Seminar, Department of Mathematics, University of Texas at Arlington, Nov. 3, 2000.
"Lectures on Grid Generation by the Deformation Method" , Seminar on Grid Generation, Department of Mathematics, University of Texas at Arlington, February, 1999.
"Unsteady Deformation Method Using Poisson's Equation" , mini-symposium on Moving Grid Methods at the 45th Anniversary meeting of SIAM held at Stanford University. July 1997
Grants, Honors, Memberships
  • Research Associate under NSF Grant DMS-9732742, 1999 - 2001
  • Research Assistantship, Research Enhancement Program, UT-system grant, 1997
  • Teaching Assistantship, University of Texas at Arlington, 1993 - 1998
  • Teaching Assistantship, University of North Texas, 1990 - 1992
  • Teaching Assistantship, University of South Carolina, 1988 - 1990
  • Member, American Mathematical Society (AMS)
  • Member, Society for Industrial and Applied Mathematics (SIAM)