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investigations

Carol Loomis (2018-10-16)


Each one-time integral is easily calculated on a given grid by quadrature formulas such as in the projects to write my essay fast on sequential integration in all directions that leads to cubature formulas, which is a direct product of one-dimensional quadrature formulas.
For example, for K = 2, if in each direction a generalized formula of trapezoidal is selected, and the grid is uniform, then the weight of the cubature formula is equal, respectively, to the internal, boundary and angular grid nodes. It is easy to show that this formula has a second order of accuracy for two continuously differentiated functions, and we apply the Runge-Romberg method to it.