Selected Recent Publications
- Michael Pilant and William Rundell,
``The Neumann Problem for an Equation of Lavrent'ev-Bitsadze Type,''
Journal of Math. Anal. Appl., v. 106, no. 2, pp. 321-359, March 1985.
[MR 86i:35104]
- K. Hollig and M. Pilant,
``Regularity of the Free Boundary for the Porous Medium Equation,''
Indiana University Mathematics Journal, v. 34, no. 4, pp. 723-733,
Winter 1985. [MR 87k:35252]
- Michael Pilant and William Rundell,
``Undetermined Coefficient Problems for Nonlinear
Elliptic and Parabolic Equations,'' I.S.N.M. 77, pp. 139-154, 1987.
[MR 88i:35175]
- Michael Pilant and William Rundell,
``A uniqueness theorem for determining conductivity from
overspecified boundary data,'' Journal of Math. Anal. Appl.,
v. 136, n. 1, pp. 20-28, 1988.
- Michael Pilant and William Rundell,
``Fixed point methods for a nonlinear parabolic inverse problem,''
Comm. P.D.E., v. 13, n. 4, pp. 469-493, 1988.
[MR 89a:35225]
- Michael Pilant and William Rundell,
``Recovery of an Unknown Specific Heat by Means of Overposed Data,''
in Num. Methods in P. D. E., v. 6, pp. 1-16, 1990.
[MR 91d:65205]
- Michael Pilant and William Rundell,
``Determining a coefficient in a
first order hyperbolic equation,'' SIAM Journal Applied Math.
v. 51, n. 2, pp. 494-506, 1991.
[MR 91m:35242]
- Michael Pilant and William Rundell,
``A method for identifying nonlinear
terms in parabolic initial boundary value problems,''
Advances in Water Resources, v. 14., n. 2, pp. 83-88, 1991.
Computational Mechanics Publications.
[MR 92b:35170]
- Michael Pilant and William Rundell,
``Age-structured population dynamics,''
in Inverse Methods in Action, pp. 122-129, P. Sabatier, editor,
Springer Verlag, 1990.
- Bruce Lowe, Michael Pilant and William Rundell,
``The recovery of potentials from finite spectral data,''
SIAM J. of Math. Anal., v. 23, n. 2, pp. 482-504, 1992.
Current Funding
- Co-PI, ``Multidimensional Reconstruction Methods for Inverse
Problems,'' DMS-920-2352, 6-1-92 thru 5-31-95. Funded by
National Science Foundation.
- Co-PI, ``Partnership in Computational Sciences,''
Department of Energy, DE-FG05-92ER25143, Jan. 1992- Dec. 1996.
- Co-PI, ``Wavelet Galerkin Methods in Computational
Mechanics,'' NASA-Langley, Sep. 1993 - Aug. 1995.
- Co-PI, ``Reinforcing Core-Concept Ideas in the Calculus
Sequence,'' TAMU Interdisciplinary Research Initiatives RFP, Sept 1993.
- Co-PI, ``Execution Driven Simulation of NUMA Multiprocessor
Architectures,'' IBM Advanced Workstation Division, Austin, TX.
Honors Program
- Loyal G. ''Chip'' Bassett, II, `` Design and
Implementation of Distributed Graphics Protocols with Compression.''
- Johnny Chen, `` Evaluation of Message Passing Protocols
for use in Distributed Graphics.''