Multidimensional Euler Summation Formulas and Numerical Cubature
The purpose of the present paper is the study of formulas and methods for numerical computation of multidimensional integrals. The entire discussion is based on multidimensional generalizations of Euler summation formula. Cubature formulas are considered, estimates of the truncation error are given. The theory of Green’s (lattice) functions to elliptic differential operators and the “boundary condition” of periodicity is the main tool.
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