Vitae for Paul Wenston
 Date and Place of Birth:  January 28, 1948,
Pittsburgh, Pennsylvania
 

 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.