Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space
Bakhromjon Bozarov, Bakhtiyor Daliyev, Dadakhon Tukxtasinov, Otadavlat Nasriddinov, Makhfuza Ruzimatova, Nasiba Botirova
Abstract
The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.
Topics & Concepts
Space (punctuation)MathematicsApplied mathematicsMathematical analysisPure mathematicsComputer scienceOperating systemNumerical methods in inverse problemsMathematical Approximation and IntegrationMathematical functions and polynomials