In this short survey, we review the current status of fractal-based techniques and their application to the solution of inverse problems for ordinary and partial differential equations. This involves an examination of several methods which are based on the so-called Collage Theorem, a simple consequence of Banach's Fixed Point Theorem, and its extensions.

Collage theorem-based approaches for solving inverse problems for differential equations : A review of recent developments / H. Kunze, D. La Torre, F. Mendivil, E.R. Vrscay. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 1047:1(2018 Jul 04), pp. 012004.1-012004.12. ((Intervento presentato al 9. convegno ICIPE International Conference on Inverse Problems in Engineering : 23 May 2017 through 26 May (Code 137986) tenutosi a University of Waterloo (Canada) nel 2017 [10.1088/1742-6596/1047/1/012004].

Collage theorem-based approaches for solving inverse problems for differential equations : A review of recent developments

D. La Torre;
2018

Abstract

In this short survey, we review the current status of fractal-based techniques and their application to the solution of inverse problems for ordinary and partial differential equations. This involves an examination of several methods which are based on the so-called Collage Theorem, a simple consequence of Banach's Fixed Point Theorem, and its extensions.
physics and astronomy (all)
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
The Fields Institute for Research in Mathematics Science
The University of Alabama, College of Engineering Mechanical Engineering
University of Waterloo, Faculty of Engineering
University of Waterloo, Faculty of Engineering, Department of Civil and Environmental Engineering
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/584346
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