Results 31 to 40 of about 89 (65)

Accurate cubature of volume potentials over high-dimensional half-spaces

, 2011
We study high order cubature formulas for the computation of harmonic potentials over the n-dimensional half-space within the framework of approximate approximations.
V. G. Maz’ya, V. G. Maz'ya, G. Schmidt, F. Lanzara, LANZARA, Flavia   +4 more
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Harmonic Hierarchies for Polynomial Optimization on Compact Gelfand Pairs

, 2022
The main topic of this thesis is a method of polynomial optimization on the unit sphere through hierarchies originating from harmonic analysis and representation theory.
Cristancho Sánchez, Sergio Enrique
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Numerical cubature using error-correcting codes

, 2004
We present a construction for improving numerical cubature formulas with equal weights and a convolution structure, in particular equal-weight product formulas, using linear error-correcting codes.
Kuperberg, Greg
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Numerical cubature from Archimedes' hat-box theorem

, 2004
Archimedes' hat-box theorem states that uniform measure on a sphere projects to uniform measure on an interval. This fact can be used to derive Simpson's rule.
Kuperberg, Greg
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Modified spline functions and chebyshev polynomials for the solution of hypersingular integrals problems [PDF]

, 2015
The research work studied the singular integration problems of the form. The density function h(x, y) is given, continuous and smooth on the rectangle Ω and belong to the class of functions C 2,γ (Ω). Cubature formulas for double integrals with algebraic
Bichi, Lawan Sirajo
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Optimal designs for 3D shape analysis with spherical harmonic descriptors [PDF]

We determine optimal designs for some regression models which are frequently used for describing 3D shapes. These models are based on a Fourier expansion of a function defined on the unit sphere in terms of spherical harmonic basis functions.
Dette, Holger, Pepelyshev, Andrey, Melas, Viatcheslav B.   +2 more
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Basic System in the Problems of Mathematical Modeling [PDF]

, 2016
У статті виведені формули інтерполяції та чисельних квадратур з використанням сіток з вузлами послідовності золотого перерізу. Доведено, що такі сітки мінімізують похибку обчислень, а коефіцієнти інтерполяційного многочлена Лагранжа та квадратурної ...
Abramchuk V. S., Пугач О. С., Абрамчук В. С., Abramchuk I. V., Петрук Д. О., Puhach O. S., Руда О. Г., Абрамчук І. В., Шмулян Я. В., Petruk D. O., Ruda O. H., Shmulian Ya. V.   +11 more
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Methods of Approximation Theory in Complex Analysis and Mathematical Physics

, 1993
The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the ...
Gonchar, Andrei, Saff, Edward
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The Study on the Nonlinear Computations of the DQ and DC Methods [PDF]

, 1999
This paper points out that the differential quadrature (DQ) and differential cubature (DC) methods due to their global domain property are more efficient for nonlinear problems than the traditional numerical techniques such as finite element and finite ...
Zhong, Tingxiu, Chen, W.
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A note on a family of quadrature formulas and some applications

Tyt. z nagł.References p. 121.Dostępny również w formie drukowanej.ABSTRACT: In this paper a construction of a one-parameter family of quadrature formulas is presented.
Bożek, Bogusław
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