Michael S. Pilant

Professor of Mathematics , Aerospace Engineering , Computer Science and Former Associate Director, Institute for Scientific Computation (ISC)

Complete Resume.

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Brief Biographical Data:

• Email: mpilant@math.tamu.edu
• Phone: (409)862-2905
• Fax: (409)845-5827

My primary interest is in computational mathematics and mathematical modeling, but I also have interests in computer graphics, scientific computing, software tools and engineering applications. The ISC is an interdisciplinary environment in which faculty, researchers and students can interact together using state of the art software tools to study the application of mathematics and numerical methods to real world problems.

Eduation:

• B.S. Mathematics, University of Pittsburgh
• M.S. Mathematics, New York University (Courant Institute)
• Ph.D. Mathematics, New York University (Courant Institute)

Research Interests:

• Nonlinear partial differential equations
• Inverse coefficient problems for parabolic and elliptic equations
• Parameter estimation
• partial differential equations of mixed type
• Numerical algorithms - algorithmic development
• Finite element methods
• Applied mathematics (computational fluids, mechanics, asymptotics)
• Parallel methods, domain decomposition methods
• Computer aided instruction

Selected Recent Publications:

• Regularity of the free boundary for the porous medium equation, Indiana University Mathematics Journal 34(4) (1985), 723-733.
• Iteration schemes for unknown coefficient problems arising in parabolic equations, Numerical Methods for Partial Differential Equations 3 (1987), 313-325.
• Fixed point methods for a nonlinear parabolic inverse problem, Comm. P.D.E. 13(4) (1988), 469-493.
• Determining the initial age distribution for an age structured population, Mathematical Population Studies, (to appear).
• The recovery of potentials from finite spectral data, SIAM J. of Math. Anal. 23(2) (1992), 482-504.

Current Activities:

• Building a multi-displinary institute for scientific computation, the ISC
• Helping to Build a Statewide High Speed Network, T-Bone
• Building a SMART Electronic Library
• Partnership in Computational Sciences, PICS
• Building an ATM LAN v1 , v2 , v3 , for the College of Science
• Development of parallel algorithms for computational mechanics
• Development of parallel algorithms for visualization
• Wavelet Galerkin methods
• Computer aided instruction
• Parameter estimation for groundwater flow
• Real time scientific visualization under X
• Hardware implementation of wavelet algorithms

• Math 151
• Math 166 Honors
• Math 308
• Math 442

Medical Imaging
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