B.A. 1961, University of Utah, Mathematics
M.S. 1963, University of Maryland, Mathematics
Ph.D. 1967, University of Maryland, Mathematics
Numerical methods for partial differential equations, Free boundary problems, Reaction diffusion problems and numerical heat transfer, Hysteresis, Two point boundary value problems for ordinary differential equations, Hydrodynamic stability, PDEs in finance
Articles
The Black Scholes Barenblatt Equation for Options with Uncertain Volatility and its Application to Static Hedging, Int. J. Theoretical and Appl. Finance 9 (2006), pp. 673-703.
Numerical investigation of early exercise in American puts with discrete dividends, J. Comp. Finance 5 (2002), pp. 37-53.
On pricing American and Asian options with PDE methods, Acta Math., Univ. Comenianae 70 (2001), pp. 153-165.
The numerical valuation of options with underlying jumps, Acta Math. Univ. Comenianae 67 (1998), pp. 69-82.
Pricing options with transaction costs with the method of lines, in Nonlinear Evolution Equations and Applications, M. Otani, edt., Kokyuroku (1061), RIMS Kyoto Univ., 1998.
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The valuation of American options with the method of lines, Adv. in Futures and Options Res. 9 (1997), 265-286, with J. Van der Hoek.
Front tracking for the supercooled Stefan problem, Surveys on Math. for Ind. 4 (1994), 57-70, with D.B. Singleton.
Numerical simulations of multi-frequency instability-wave growth and suppression in the Blasius boundary layer, Phys. Fluids A 3 (1991), 328-340, with W.W. Bower and A. Pal.
A least squares method for finding the Preisach hysteresis operator from measurements, Numer. Math 55 (1989), 695-710, with K.- H. Hoffmann.
Books written or edited
Separation of Variables for Partial Differential Equations - An Eigenfunction Approach, Chapman & Hall/CRC, Boca Raton, 2006 (281 pages), with G. L. Cain.
Initial Value Methods for Boundary Value Problems, Academic Press, N.Y., 1973 (270 pages).
Proceedings of a Conference on the Application of Undergraduate Mathematics in the Engineering, Life, Managerial and Social Sciences edited with P. J. Knopp, CUPM - Georgia Tech, 1973.