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Title: Computational algorithms for analysis of data from thin-film thermoresistors on a radio-electronic printed circuit board

Abstract

In the paper, the data analysis is considered for thin-film thermoresistors coated on to a radio-electronic printed circuit board to determine possible zones of its overheating. A mathematical model consists in an underdetermined system of linear algebraic equations with an infinite set of solutions. For computing a more real solution, two additional conditions are used: the smoothness of a solution and the positiveness of an increase of temperature during overheating. Computational experiments demonstrate that an overheating zone is determined exactly with a tolerable accuracy of temperature in it.

Authors:
 [1];  [2]
  1. Siberian Federal University, 660041, Krasnoyarsk (Russian Federation)
  2. Institute of Computational Modeling of Russian Academy of Sciences, 660036, Krasnoyarsk (Russian Federation)
Publication Date:
OSTI Identifier:
22608259
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1759; Journal Issue: 1; Conference: ICAAM 2016: International conference on analysis and applied mathematics, Almaty (Kazakhstan), 7-10 Sep 2016; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ACCURACY; ALGORITHMS; DATA ANALYSIS; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PRINTED CIRCUITS; ROUGHNESS; SMOOTH MANIFOLDS; THERMAL CONDUCTIVITY; THIN FILMS

Citation Formats

Korneeva, Anna, and Shaydurov, Vladimir. Computational algorithms for analysis of data from thin-film thermoresistors on a radio-electronic printed circuit board. United States: N. p., 2016. Web. doi:10.1063/1.4959662.
Korneeva, Anna, & Shaydurov, Vladimir. Computational algorithms for analysis of data from thin-film thermoresistors on a radio-electronic printed circuit board. United States. doi:10.1063/1.4959662.
Korneeva, Anna, and Shaydurov, Vladimir. Wed . "Computational algorithms for analysis of data from thin-film thermoresistors on a radio-electronic printed circuit board". United States. doi:10.1063/1.4959662.
@article{osti_22608259,
title = {Computational algorithms for analysis of data from thin-film thermoresistors on a radio-electronic printed circuit board},
author = {Korneeva, Anna and Shaydurov, Vladimir},
abstractNote = {In the paper, the data analysis is considered for thin-film thermoresistors coated on to a radio-electronic printed circuit board to determine possible zones of its overheating. A mathematical model consists in an underdetermined system of linear algebraic equations with an infinite set of solutions. For computing a more real solution, two additional conditions are used: the smoothness of a solution and the positiveness of an increase of temperature during overheating. Computational experiments demonstrate that an overheating zone is determined exactly with a tolerable accuracy of temperature in it.},
doi = {10.1063/1.4959662},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1759,
place = {United States},
year = {Wed Aug 10 00:00:00 EDT 2016},
month = {Wed Aug 10 00:00:00 EDT 2016}
}