@inproceedings{12a4670b2a894087b044fca4ccb5a480,
title = "Average graph of land surface curvatures induced mining operation determined by use of fourth order polynomial",
abstract = "In the article the obtainment method of average graph of curvatures, observed on terrain surface as a result of underground mining exploitation of hard coal seam, has been presented. Approximation of curvatures measured graph by use of fourth order polynomial divided into a few parts and the least squares method has been done. Average graph of measured subsidence as a first one has been determined. Then average graph of observed curvatures as a second derivative of subsidence approximated values has been obtained. Statistics indicate that proposed method of obtainment of average graph of observed curvatures can be alternative for smoothed splines and gives much better results than they. Fourth order of polynomial is enough for determination of average graph of observed curvatures on condition division it into parts.",
author = "Justyna Orwat and Sebastian Franz",
note = "Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0027630",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",
address = "United States",
}