Title :
A direct method for parameter estimation in a hyperbolic partial differential equation
Author :
Ewing, Richard E. ; Lin, Tao
Author_Institution :
Dept. of Math., Wyoming Univ., Laramie, WY, USA
Abstract :
The authors derive a numerical scheme which can be used to solve the parameter identification problem for one-dimensional hyperbolic equations. In order to treat the piecewise smooth function case, the authors choose a difference scheme which is based on an integral identity. Several numerical experiments, including the case where a (x) is piecewise constant, are carried out
Keywords :
parameter estimation; partial differential equations; difference scheme; direct method; hyperbolic partial differential equation; one-dimensional hyperbolic equations; parameter estimation; piecewise smooth function; Boundary conditions; Computational modeling; Differential equations; Integral equations; Mathematical model; Mathematics; Nonlinear equations; Parameter estimation; Partial differential equations; Physics computing;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194611
