Efficiency improvement of GPST inversion algorithm
The paper is devoted to the numerical solution of the multiparameter inverse problem of a system of partial differential equations. The so- called ``generalized pulse-spectrum technique'' inversion algorithm is reviewed and improved by implementing special re-structuralization and high level parallelism into the system of discretized Fredholm integral equations of the first kind. For demonstrating efficiency of this improvement a simple two-parameter inverse problem of two-dimensional linear evolution equations is considered. Numerical simulations are carried out to test the feasibility and to study the general characteristics of the improved generalized pulse-spectrum technique without real measurement data. It is found that the improved technique is not only as robust as the standard one but also, possessing the speedup, very close to the estimated one by performing the computational complexity analysis based upon FLO count.
generalized pulse-spectrum technique inversion algorithm
system of discretized Fredholm integral equations of the first kind
scientific article; zbMATH DE number 4033008