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Mathematical and Computational Applications, Volume 27, Issue 1

February 2022 - 17 articles

Cover Story: Industry demands simulation-based design processes, but physics simulations act as a bottleneck due to their large computational costs and run time. In most steps of the design process, only an approximate result of what a fully-fledged physics simulation would provide is necessary. In this paper, we present a proof-of-concept study of the application of neural networks for thermal simulations of electronic systems. The goal of such a tool is to provide accurate approximations of a full solution, in order to quickly select promising designs for more detailed investigations. View this paper.
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Articles (17)

  • Feature Paper
  • Article
  • Open Access
7 Citations
4,138 Views
15 Pages

Thermal simulations are an important part of the design process in many engineering disciplines. In simulation-based design approaches, a considerable amount of time is spent by repeated simulations. An alternative, fast simulation tool would be a we...

  • Feature Paper
  • Article
  • Open Access
26 Citations
5,868 Views
25 Pages

AutoML for Feature Selection and Model Tuning Applied to Fault Severity Diagnosis in Spur Gearboxes

  • Mariela Cerrada,
  • Leonardo Trujillo,
  • Daniel E. Hernández,
  • Horacio A. Correa Zevallos,
  • Jean Carlo Macancela,
  • Diego Cabrera and
  • René Vinicio Sánchez

Gearboxes are widely used in industrial processes as mechanical power transmission systems. Then, gearbox failures can affect other parts of the system and produce economic loss. The early detection of the possible failure modes and their severity as...

  • Article
  • Open Access
8 Citations
5,255 Views
13 Pages

Analysis and Detection of Erosion in Wind Turbine Blades

  • Josué Enríquez Zárate,
  • María de los Ángeles Gómez López,
  • Javier Alberto Carmona Troyo and
  • Leonardo Trujillo

This paper studies erosion at the tip of wind turbine blades by considering aerodynamic analysis, modal analysis and predictive machine learning modeling. Erosion can be caused by several factors and can affect different parts of the blade, reducing...

  • Article
  • Open Access
2 Citations
2,764 Views
29 Pages

Four discrete models, using the exact spectral derivative discretization finite difference (ESDDFD) method, are proposed for a chaotic five-dimensional, conformable fractional derivative financial system incorporating ethics and market confidence. Si...

  • Feature Paper
  • Review
  • Open Access
76 Citations
39,404 Views
21 Pages

Predictive Maintenance in the Automotive Sector: A Literature Review

  • Fabio Arena,
  • Mario Collotta,
  • Liliana Luca,
  • Marianna Ruggieri and
  • Francesco Gaetano Termine

With the rapid advancement of sensor and network technology, there has been a notable increase in the availability of condition-monitoring data such as vibration, temperature, pressure, voltage, and other electrical and mechanical parameters. With th...

  • Article
  • Open Access
3 Citations
3,259 Views
24 Pages

The development of operator theory is stimulated by the need to solve problems emerging from several fields in mathematics and physics. At the present time, this theory has wide applications in the study of non-linear differential equations, in linea...

  • Article
  • Open Access
9 Citations
5,335 Views
19 Pages

The use of technological learning tools has been increasingly recognized as a useful tool to promote students’ motivation to deal with, and understand, mathematics concepts. Current digital technology allows students to work interactively with...

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Math. Comput. Appl. - ISSN 2297-8747