Professional Experience
Dr. Jackson has published in the areas of finite elements, partial differential equations, and nonlocal partial differential equations
Selected Publications
Jackson, D (2002) "Iterative Finite Element Approximations of Solutions to Parabolic Equations with Nonlocal Conditions" Nonlinear Anal. 50, no. 4, Ser. A: Theory Methods, 433-454.
Jackson, D. (1996) "An Existence and Uniqueness Theorem for Solutions of Nonlocal Parabolic Partial Differential Equations" World Congress of Nonlinear Analysists 92, Vol I-IV (Tampa, F l, 1992),341-347, de Gruyter,Berlin.
January 1993. "Existence and Uniqueness of Solutions to Semilinear Nonlocal Parabolic Equations;" JMAA, Vol. 172, No. 1, pp. 256-265.
Jackson, D. 1992. "Error Estimates for the Semidiscrete Galerkin Approximation of the Fitzhugh-Nagumo Equation;" Applied Math and Computation 1, pp. 93-114.
Jackson, D. 1992. "Error Estimates for the Semidiscrete Finite Element Approximation of Linear Nonlocal Parabolic Equations;" Journal of Applied Mathematics and Stochastic Analysis 5, No. 1, pp. 19-28.
Jackson, D. (1990) "Error Estimates for the Semidicrete Finite-Element Approximation of a Damped Wave Equation with a Smoothing Property" Appl. Math. Comput. 35, no. 3, 243-261
Jackson, D. 1990. "Existence and Regularity for the Fitzhugh-Nagumo Equations with Inhomogeneous Boundary Conditions;" Nonlinear Analysis: Theory, Methods and Applications, Vol. 14, No. 3, pp. 201-216.
Research
Dr. Jackson's research interests include finite elements, partial differential equations, functional analysis, and scattering theory.
