A direct method for the inversion of physical systems

L. F. Caudill; H. Rabitz; A. Askar

doi:10.1088/0266-5611/10/5/007

A direct method for the inversion of physical systems

L. F. Caudill, H. Rabitz, A. Askar

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. Of particular interest are linear and nonlinear dynamical systems. The potential broad applicability of this method is examined in the context of a number of coefficient-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 illustration are presented, demonstrating the effectiveness of the algorithm.

Original language	English (US)
Article number	007
Pages (from-to)	1099-1114
Number of pages	16
Journal	Inverse Problems
Volume	10
Issue number	5
DOIs	https://doi.org/10.1088/0266-5611/10/5/007
State	Published - 1994

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Signal Processing
Mathematical Physics
Computer Science Applications
Applied Mathematics

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10.1088/0266-5611/10/5/007

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title = "A direct method for the inversion of physical systems",

abstract = "A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. Of particular interest are linear and nonlinear dynamical systems. The potential broad applicability of this method is examined in the context of a number of coefficient-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 illustration are presented, demonstrating the effectiveness of the algorithm.",

author = "Caudill, {L. F.} and H. Rabitz and A. Askar",

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AB - A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. Of particular interest are linear and nonlinear dynamical systems. The potential broad applicability of this method is examined in the context of a number of coefficient-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 illustration are presented, demonstrating the effectiveness of the algorithm.

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A direct method for the inversion of physical systems

Abstract

All Science Journal Classification (ASJC) codes

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