Results 21 to 30 of about 2,531 (180)
Numerical hyperinterpolation over nonstandard planar regions [PDF]
, 2017 We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a ...
Sommariva, Alvise, Vianello, Marco
core +1 more source
Osculatory and Hyperosculatory Cubature Formulas [PDF]
Mathematics of Computation, 1977 Osculatory and hyperosculatory cubature formulas for a rectangular region, employing the function with either first, or first and second partial derivatives, were obtained together with dominant remainder terms involving higher derivatives at one point, providing exact accuracy through the fifth (seventh) degree without (with) remainders.
openaire +2 more sources
On some cubature formulas on the sphere
Journal of Approximation Theory, 2006 AbstractWe construct interpolatory cubature rules on the two-dimensional sphere, using the fundamental system of points obtained by Laín Fernández [Polynomial Bases on the Sphere, Logos-Verlag, Berlin, 2003; Localized polynomial bases on the sphere, Electron. Trans. Numer. Anal. 19 (2005) 84–93].
Jürgen Prestin, Daniela Rosca
openaire +1 more source
Minimal cubature formulae of trigonometric degree [PDF]
Mathematics of Computation, 1996 Summary: We construct minimal cubature formulae of trigonometric degree: we obtain explicit formulae for low dimensions of arbitrary degree and for low degrees in all dimensions. A useful tool is a closed form expression for the reproducing kernels in two dimensions.
Ronald Cools, Ian H. Sloan
openaire +1 more source
Maximal point-polyserial correlation for non-normal random distributions. [PDF]
Br J Math Stat PsycholAbstract We consider the problem of determining the maximum value of the point‐polyserial correlation between a random variable with an assigned continuous distribution and an ordinal random variable with k$$ k $$ categories, which are assigned the first k$$ k $$ natural values 1,2,…,k$$ 1,2,\dots, k $$, and arbitrary probabilities pi$$ {p}_i $$.
Barbiero A.
europepmc +2 more sources
International Journal of Mathematics and Mathematical Sciences, 1983 A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two-dimensional Cauchy-type principal-value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types.
P. S. Theocaris
doaj +1 more source
Computation of volume potentials over bounded domains via approximate approximations [PDF]
, 2012 We obtain cubature formulas of volume potentials over bounded domains combining the basis functions introduced in the theory of approximate approximations with their integration over the tangential-halfspace.
Lanzara, F., Maz'ya, V., Schmidt, G.
core +2 more sources
An encyclopaedia of cubature formulas
Journal of Complexity, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
doaj
Homogeneous numerical cubature formulas of interpolatory type
Journal of Numerical Analysis and Approximation Theory, 2002 In this paper we construct homogeneous numerical cubature formulas based on some numerical multivariate interpolation schemes.
Gheorghe Coman, Maria Solomon
doaj +2 more sources