ALGORITHM FOR THREE-DIMENSIONAL NUMERICAL INTEGRATION OF COMPLEX-SHAPED BODIES
Скачать PDF
Annotation: This article describes an algorithm for constructing software for numerical three-dimensional integration over complex-shaped bodies. Three ways of describing a complex-shaped body are c onsidered: in polar, spherical, and Cartesian coordinate systems. The nuances and complexities of each algorithm are analyzed in detail. We consider finding the value of the multidimensional integral over the surface after dividing the body into simplices. The Ostrogradsky-Gauss formula.
Keywords: numerical integration, complex shape bodies, simplex, triangulation, coordinate system, software
For citation: Losev D.K., Samohin A.B. Algorithm for three-dimensional numerical integration of complex-shaped bodies // Electronic Scientific Journal IT-Standard. – 2021. – No. 3. – pp. .