Error Estimation of Area Calculation for Piecewise Polynomial Approximation

Author:

Klyachin Aleksey1,Panchenko Alisa1

Affiliation:

1. Volgograd State University

Publisher

Volgograd State University

Subject

General Medicine

Reference6 articles.

1. Gatsunaev M.A. Priblizhennoe vychislenie ploshchadi poverkhnosti [Approximate Calculation of the Surface Area]. Materialy Nauchnoy sessii, 26–30 apr. 2010 g. Vyp. 6. Matematika i informatsionnye tekhnologii. Volgograd, Izd-vo VolGU Publ., 2010, pp. 66-70.

2. Klyachin A.A., Panchenko A.G. Modelirovanie minimalnykh triangulirovannykh poverkhnostey: otsenka pogreshnosti vychisleniya ploshchadi pri proektirovanii sooruzheniy [Modeling Minimum Triangulated Sufcaces: Error Estimation Calculating the Area of the Design of Facilities]. Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1, Matematika. Fizika [Science Journal of Volgograd State University. Mathematics. Physics], 2016, no. 3 (34), pp. 73-83.

3. Klyachin A.A., Gatsunaev M.A. O ravnomernoy skhodimosti kusochno-lineynykh resheniy uravneniya minimalnoy poverkhnosti [On Uniform Convergence of Piecewise Linear Solutions of the Minimal Surface Equation]. Ufimskiy matematicheskiy zhurnal [Ufa Mathematical Journal], 2014, no. 6 (3), pp. 3-16.

4. Klyachin A.A. Otsenka pogreshnosti vychisleniya integralnykh funktsionalov s pomoshchyu kusochno-lineynykh funktsiy [𝐶1-Approximation of the Level Surfaces of Functions Defined on Irregular Grids]. Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1, Matematika. Fizika [Science Journal of Volgograd State University. Mathematics. Physics], 2015, no. 1 (26), pp. 6-12.

5. Rasmussen A.F., Floater M.S. Extrapolation Methods for Approximating Arc Length and Surface Area. Numerical Algorithms, 2007, no. 44 (3), pp. 235-248.

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