Results 41 to 50 of about 71 (69)

Numerical Integration for Multivariable Functions with Point Singularities

, 1992
We consider the numerical integration of functions with point singularities over a planar wedge S using isoparametric piecewise polynomial interpolation of the function and the wedge.
Yajun Yang, Kendall E. Atkinson
core  

Numerical Evaluation of Surface Integrals in Three Dimensions

, 1995
In this paper, we consider the evaluation of surface integrals over piecewise smooth surfaces in three dimensions. The method consists in first replacing a parametrization for the surface and the integrand function by piecewise polynomial interpolants of
David Chien
core  

Piecewise Polynomial Collocation for Integral Equations with a Smooth Kernel on Surfaces in Three Dimensions

, 1991
We consider solving integral equations on a piecewise smooth surface S in R 3 with a smooth kernel function, using piecewise polynomial collocation interpolation of the surface.
David Chien
core  

Processing simulation output by Riemann sums

, 1996
When estimating an integral by a Monte-Carlo method, an alternative to the standard average of observed values is to use Riemann sums, that is trapezoidal approximations.
Anne Philippe
core  

Constructing embedded lattice rules for multivariate integration

, 2006
. Lattice rules are a family of equal-weight cubature formulas for approximating highdimensional integrals. By now it is well established that good generating vectors for lattice rules having n points can be constructed component-by-component for ...
Ronald Cools, Dirk Nuyens, Frances Y. Kuo   +2 more
core  

On some quadrature rules with Laplace end corrections

Open Mathematics, 2012
Bożek Bogusław, Solak Wiesław, Szydełko Zbigniew   +2 more
doaj   +1 more source

Romberg extrapolation for Euler summation-based cubature on regular regions. [PDF]

GEM, 2017
Freeden W, Gerhards C.
europepmc   +1 more source

An accelerated Levin-Clenshaw-Curtis method for the evaluation of highly oscillatory integrals. [PDF]

BIT Numer Math
Iserles A, Maierhofer G.
europepmc   +1 more source

On the convergence of some quadrature rules for Cauchy principal-value and finite-part integrals

, 1983
Tsamasphyros, G, Theocaris, PS
core   +1 more source

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A randomized trapezoidal quadrature

International Journal of Computer Mathematics, 2022
Yue Wu, Yue Wu
exaly