Parameter Estimation in Functional and Partial Differential Equations

摘要

This grant supported research in parameter estimation in distributed parameter systems. The research focused on theoretical and computational methods for estimation of unknown variable parameters in nonlinear partial differential equations. Also methods for estimating time delays in functional differential equations and boundary parameters in moving boundary problems were developed. Seven publications were produced under this grant, including 'Estimation of discontinuous coefficients and boundary parameters for hyperbolic systems' and 'Estimation of time - and state - dependent delays and other parameters in functional differential equations.' Keywords: Algorithms; Differential equations; Approximation theory.