Geometric modeling of multifactor processes and phenomena by the multidimensional parabolic interpolation method

The paper presents the results of multidimensional parabolic interpolation studies, (one of the special cases of the multidimensional interpolation method), applied to solve problems of modelling multifactor processes and phenomena using geometric objects of multidimensional affine space. The author...

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Veröffentlicht in:Journal of physics. Conference series Jg. 1441; H. 1; S. 12063 - 12071
Hauptverfasser: Konopatskiy, E V, Bezditnyi, A A
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Bristol IOP Publishing 01.01.2020
Schlagworte:
Algorithms
Coal tar
Compressive strength
computational algorithm
experimental and statistical information
geometric modelling
influence factors
Interpolation
Least squares method
Mathematical analysis
multidimensional parabolic interpolation
multifactor processes
Optimization
parabolic arc
Physics
point equation
Polyvinyl chloride
Problem solving
response function
ISSN:1742-6588, 1742-6596
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Abstract The paper presents the results of multidimensional parabolic interpolation studies, (one of the special cases of the multidimensional interpolation method), applied to solve problems of modelling multifactor processes and phenomena using geometric objects of multidimensional affine space. The authors describe the technique of geometric model tree forming of the process under study and its analytical description based on computational point algorithms with subsequent implementation on a computer. Such an approach makes it possible to effectively use multidimensional interpolation instead of multidimensional approximation (based on the least squares method) for solving problems of mathematical and computer modelling of multifactor 3-level processes and phenomena of animate and inanimate nature, technology, economy, construction, and architecture The study gives an example of multidimensional parabolic interpolation application to simulate the dependence of the fine-grained tar-polymer concrete compressive strength on 4 factors: tar viscosity, polyvinyl chloride dropout concentration in coal tar, activator concentration on the mineral powder surface and temperature, followed by optimization of the composition and operating conditions road pavement.
AbstractList The paper presents the results of multidimensional parabolic interpolation studies, (one of the special cases of the multidimensional interpolation method), applied to solve problems of modelling multifactor processes and phenomena using geometric objects of multidimensional affine space. The authors describe the technique of geometric model tree forming of the process under study and its analytical description based on computational point algorithms with subsequent implementation on a computer. Such an approach makes it possible to effectively use multidimensional interpolation instead of multidimensional approximation (based on the least squares method) for solving problems of mathematical and computer modelling of multifactor 3-level processes and phenomena of animate and inanimate nature, technology, economy, construction, and architecture The study gives an example of multidimensional parabolic interpolation application to simulate the dependence of the fine-grained tar-polymer concrete compressive strength on 4 factors: tar viscosity, polyvinyl chloride dropout concentration in coal tar, activator concentration on the mineral powder surface and temperature, followed by optimization of the composition and operating conditions road pavement.
Author Konopatskiy, E V
Bezditnyi, A A
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  organization: Sevastopol branch of «Plekhanov Russian University of Economics» , Russian Federation
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SubjectTerms Algorithms
Coal tar
Compressive strength
computational algorithm
experimental and statistical information
geometric modelling
influence factors
Interpolation
Least squares method
Mathematical analysis
multidimensional parabolic interpolation
multifactor processes
Optimization
parabolic arc
Physics
point equation
Polyvinyl chloride
Problem solving
response function
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Title Geometric modeling of multifactor processes and phenomena by the multidimensional parabolic interpolation method
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