Title :
Parameter estimation in moving boundary problems
Author_Institution :
Dept. of Math., North Carolina Univ., Chapel Hill, NC, USA
Abstract :
The author presents a spline-based approximation method which can be used to estimate unknown variable coefficients, boundary parameters and initial conditions in certain moving boundary problems of one spatial dimension. He discusses convergence of approximate parameter estimates and the numerical implementation of the method, using as an example a model for the penetration of solvents into polymers
Keywords :
convergence of numerical methods; distributed parameter systems; parameter estimation; splines (mathematics); convergence; distributed parameter systems; initial conditions; moving boundary problems; parameter estimation; polymers; solvent penetration; spline-based approximation; Approximation methods; Convergence of numerical methods; Differential equations; Mathematics; Nonlinear dynamical systems; Parameter estimation; Partial differential equations; Polymer gels; Solvents; Spline;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194610