A direct method for the inversion of physical systems

L F Caudill, H Rabitz, A Askar
1994 Inverse Problems  
A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. Of particular interest are linear and non-linear dynamical systems. The potentia! broad applicability of this method is examined in the context of a number of coefticient-recovery problems for partial differential equations. Stability issues are addressed and a stabilization approach, based on inverse asymptotic tracking, is proposed. Numerical examples for a simple
more » ... a simple illustration are presented demonstrating the effectiveness of the algorithm.
doi:10.1088/0266-5611/10/5/007 fatcat:5jwdidjdfbbmzho5dumhrgx7nm