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Cubature Formulae for Polyharmonic Functions

2001
We construct cubature formulae for the ball in ℝd, based on integrals of the function v(x), its normal derivatives or iterated Laplacians △ j v (j = 0,…, m i−1) over n distinct (d−1)dimensional hyperspheres S(ρ i )of radius ρ i , respectively, which integrate exactly wide classes of functions defined as the harmonic span of given radial functions, and ...
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Invariant Laplacian-involving cubature formulas

Computational Mathematics and Mathematical Physics, 2015
For integrals in n dimensions over a hypercube, two ninth-degree cubature formulas that are invariant with respect to a hyperoctahedral group are constructed. The cubature sums of these formulas contain the Laplacian. Examples are given in which approximate values of the formulas’ parameters are presented in the form of tables.
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Schmid's approach on cubature formulae

International Journal of Computer Mathematics, 1990
Schmid's method [1] is applied to establish a fourth and a sixth degree formulae with respect to the weight function x 1/2 where the region of integration is the set Ω defined by Ω = {(x,y): x∊[0,l] and y∊ [−1,1]}
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Cubature formulae and orthogonal polynomials

USSR Computational Mathematics and Mathematical Physics, 1969
Abstract IN [1] the proposition (Theorem 2' ) was stated that k1 common zeros of two orthogonal polynomials of degree k of a plane domain and with a positive weight function, can be taken as the nodes of a cubature formula exact for polynomials of degree 2 k — 1.
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THE CUBATURE FORMULAE OF L. A. LYUSTERNIK

Russian Mathematical Surveys, 1970
In this paper a short survey is given of the work of L.A. Lyusternik on cubature formulae, which are many-dimensional generalizations of the standard quadrature formulae of Gauss for an interval. A general method is developed for constructing such formulae; a number of specific formulae are given and certain applications are made to the solution of ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Cubature Formula

2019
Masanori Sawa   +2 more
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Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa   +1 more
exaly  

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