Titlebook: Numerical Integration; Proceedings of the C G. Hämmerlin Conference proceedings 1982 Springer Basel AG 1982

修改

978-3-0348-6309-4Springer Basel AG 1982

平庸的人或物

Numerical Integration978-3-0348-6308-7Series ISSN 0373-3149 Series E-ISSN 2296-6072

说明

expository

上涨

Multidimensional Euler Summation Formulas and Numerical Cubature,s 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.

纵欲

Construction of Known and New Cubature Formulas of Degree Five for Three-Dimensional Symmetric Regi ≤ 5 but not for all polynomials of degree 6. R is a region in the three-dimensional Euclidian space, assumed to be symmetric with respect to the three axes. The weight function w(x, y, z) will be assumed to be symmetric in x, y and z: w(x, y, z) = w(‒x, y, z) = w(x,‒y, z) = w(x, y,‒z) ≤ 0

注意

sparse

商谈

ORBIT

Expressions for Divergent Integrals in Terms of Convergent Ones,This paper considers “divergent” integrals of the type . where n is an integer, and a < z. < b. For n = 1, the above integral is commonly defined by the “Cauchy principal value”: