Efficiency improvement of GPST inversion algorithm
type: Item
instance of: scholarly article
title: Efficiency improvement of GPST inversion algorithm
zbMATH Open document ID: 0634.65119
DOI: 10.1016/0021-9991(87)90088-X
author: B. George
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 45F05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 4033008
zbMATH Keywords: generalized pulse-spectrum technique inversion algorithm
zbMATH Keywords: Newton-like method
zbMATH Keywords: Tikhonov regularization method
zbMATH Keywords: numerical example
zbMATH Keywords: multiparameter inverse problem
zbMATH Keywords: system of discretized Fredholm integral equations of the first kind
zbMATH Keywords: computational complexity
MaRDI profile type: Publication
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full work available at URL: 0021-9991(87)90088-x
OpenAlex ID: W2011023847
description: scientific article; zbMATH DE number 4033008