Academic Degrees:
B.S. (Hon) ,1969, University of Pittsburgh\cr
Ph.D. , 1974, Carnegie-Mellon University\cr
Professional Experience:
Assistant Professor, University of Georgia, 1974-1980
Associate Professor, University of Georgia, 1981-
Publications
(1) On the local solvability of linear partial differential
operators' not of principal type, Bull.
Amer. Math. Soc., 81(1975)
(research announcement), 215 - 218.
(2) On the local solvability of linear partial differential
operators not of principal type, Jour. of Diff.
Equations, 22(1976),
111 - 144.
(3) A necessary condition for the local solvability
of the
operator $p^2_m(x,D)+P_{2m-1}(x,D)$,
Jour. Diff. Equations,
22(1977), 90 - 95.
(4) A sufficient condition for the local solvability
of a
linear partial differential operator with double characteristics,
Jour. of Diff. Equations, 29(1978),
374 - 387.
(5) A local solvability result for linear partial
differential operators with characteristics having
odd order
multiplicity, Jour. of Diff. Equations, 28(1978),
369 - 380.
(6) Some well-posed boundary-value problems for partial
differential operators of principal type, Jour.
of Diff. Equations,
37(1980), 303 - 308
(7) Uniqueness in the Cauchy problem for weakly
hyperbolic
operators not satisfying Levi conditions (with Gary
Roberts), Jour.
of Diff. Equations, 40(1981),
7 - 36.
(8) Local solvability and hypoellipticity for
operators with
odd characteristics (with Gary Roberts), Communications
in Partial
Differential Equations, 7(1982), 715
- 741
(9) An Algorithm for the Numerical Evaluation of the
Reversibly Randles-Sevcik Function (with Frank Lether),
Journal
of
Computers and Chemistry, Vol. 11, 1987, pp.
179 - 183.
(10) The Numerical Computation of the Voigt Function
by a
Corrected Midpoint Quadrature Rule for $(-\infty,\infty)$.
(with
Frank Lether), Journal of Computational
and Applied
Mathematics, 35(1991), 277 - 289.
(11) An Algorithm for the Numerical Computation of
the Voigt
Function (with Frank Lether), Applied Mathematics
and Computation,
35(1990), 227 - 289.
(12) Elementary Approximations for
Dawson's Integral(with Frank Lether), J. Quant.
Spectrosc. Radiat Transfer, 46 (1991),
343\--345.
(13) Minimax Approximation to the zeros
of $P_N(x)$ and Gauss-Legendre Quadrature(with
Frank Lether),
in the Journal of Computational and Applied Mathematics,
1992.
(14) On Multi-Level Bases for Elliptic
Boundary Value Problems(with Ming-Jun Lai),
Journal
of Computational and Applied Mathematics, 71(1996),
95--113.
(15) Bivariate Spline Method for the Numerical
Solution of
the Steady-State Naviar Stokes Equations Over Polygons
in
Stream Function Formulation(with Ming-Jun Lai),
in Advances in Computational Mathematics
edited by Z. Chen, Y. Li, C. Micchelli, and Y. Xu,
Marcel Dekker,
New York, 1998, pp. 245 - 277.
(16) Bivarate Spline Method for
Navier-Stokes: Domain Decomposition Technique(with
Ming-Jun Lai),
in Approximation Theory
IX: Computational aspects, Charles K. Chui
and Larry L. Schumaker
(eds.) Vanderbilt University Press (Nashville), 1998,
pp. 153 - 160.
(17) On Schwarz's Domain decomposition
methods for elliptic boundary value problems(with
Ming-Jun Lai),
Numerishce Matematik, 84(2000), 475--495.
(18) Bivarate Spline Method for Numerical Solution
of
Strady-State Navier-Stokes Equations Over Polygons,
Numerical Methods for P.D.E, 16(2000), 147--183.
(19) Interpolatory Surfaces of Minimal
Waviness (with M. J. Lai and Charles Chui), submitted
for publication.
(20) Bivarate Spline Method
for the Numerical Solution of time Evolution Navier-Stokes
Equations (with Ming-Jun Lai and Chun Liu), submitted
for publication.
(21) Theoretical and numerical
analysis of two nonlinear biharmonic equations arising
from the
study of liquid crystals(with Ming-Jun Lai and Chun
Liu),
submitted for publication.
(22) Trivariate $C^1$ cubic splines
for numerical solution of biharmonic equations (with
M. J. Lai), 2000.