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A direct method for the inversion of physical systems

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Caudill, Lester F.
Rabitz, Herschel

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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 non-linear 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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Institute of Physics (IOP) Publishing

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Mathematics, applied, Physics, mathematical

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Inverse Problems

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10.1088/0266-5611/10/5/007

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