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Selected polynomial identification techniques to evaluate maritime transport trends around Covid-19

Borucka Anna, Kozłowski Edward

Zeszyty Naukowe. Transport / Politechnika Śląska

2023

z. 120

51--68

The Covid-19 pandemic has drastically affected the transport sector, because of the restrictions introduced to limit the spread of the threat. They concerned primarily passenger traffic, but trade in goods also faced completely new challenges, related to increased consumption and the dynamic development of e-commerce on the one hand and restrictions related to the pandemic and sealing borders on the other. One of the most susceptible to fluctuations in international trade is the maritime economy, which has been analysed in this article. It was checked how the global threat affected sea traffic in terms of gross weight of goods handled in main ports. The aim of the study was to characterize the impact of the pandemic on sea transport depending on the type of ship and to evaluate the current state of sea transport in the context of the level shaped by forecasts based on observations from before the coronavirus pandemic. The authors' assumption was to check whether the rail transport market has already reached the level it could reach in the absence of the virus threat. The use of a polynomial function was proposed for the study. Time series containing observations up to the outbreak of the pandemic and forecasts based on them, as well as time series containing additional observations from the pandemic period were analysed. The study results obtained allowed to conclude how the global crisis caused by the Covid-19 pandemic affected the cargo traffic in the sea transport, expressed by the mass of goods transshipped in major ports, depending on the individual types of ships.

Automatyczne sterowanie przeciwpancernym pociskiem rakietowym oparte na funkcjach wielomianowych

Koruba Z., Nocoń Ł.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

2013

z. 101

61--62

W pracy przedstawione są algorytmy automatycznego sterowania inteligentnym przeciwpancernym pociskiem kierowanym z możliwością atakowania celu z górnego pułapu. Do wyznaczenia trajektorii programowych wykorzystano funkcje wielomianowe. Dokonano analizy numerycznej działania wybranych algorytmów. Wyniki przedstawiono w graficznej postaci.

On some stability properties of polynomial functions

Budzik D.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2011

Vol. 16

11--14

In this paper we present conditions under which a function F with a control function f, in the following sense [wzór], can by uniformly approximated by a polynomial function of degree at most n.

Application of Trefftz method for temperature rise analysis on human skin exposed to radiation

Kita E., Hirayama Y.

Computer Assisted Mechanics and Engineering Sciences

2008

Vol. 15, No. 1

45-52

This paper describes the application of the Trefftz method to the temperature rise in human skin exposed to radiation from a cellular phone. A governing equation is given as the Poisson equation. An inhomogeneous term of the equation is approximated with a polynomial function in Cartesian coordinates. The use of the approximated term transforms the original boundary-value problem to that governed with a homogeneous differential equation. The transformed problem can be solved by the traditional Trefftz formulation. Firstly, the present method is applied to a simple numerical example in order to confirm the formulation. The temperature rise in a skin exposed to radiation is considered as a second example.