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.
|Titolo:||Collage theorem-based approaches for solving inverse problems for differential equations : A review of recent developments|
|Parole Chiave:||physics and astronomy (all)|
|Settore Scientifico Disciplinare:||Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie|
|Data di pubblicazione:||4-lug-2018|
|Enti collegati al convegno:||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
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1088/1742-6596/1047/1/012004|
|Appare nelle tipologie:||01 - Articolo su periodico|