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978-3-0348-6309-4Springer Basel AG 1982平庸的人或物 发表于 2025-3-25 07:33:44
Numerical Integration978-3-0348-6308-7Series ISSN 0373-3149 Series E-ISSN 2296-6072说明 发表于 2025-3-25 13:52:25
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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 发表于 2025-3-26 03:37:11
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 发表于 2025-3-26 06:14:08
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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”: