Results 21 to 30 of about 62 (61)
Invariant cubature formulae for spheres and balls by combinatorial methods
, 2008 . Invariant cubature formulae for a class of weight functions on the simplex T d are derived using combinatorial methods, extending the formulae in [Grundmann and Möller, SIAM J. Numer Anal., 15 (1978), pp.
Sangwoo Heo, Yuan Xu
core
, 2016 A survey on summation/integration methods for computation of slowly convergent series is presented. Methods are based on some transformations of series to integrals, with respect to certain nonclassical weight functions over R+, and an application of ...
MILOVANOVIĆ, Gradimir V.
core
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. [PDF]
Numer Math (Heidelb), 2021 Trefethen LN +2 more
europepmc +1 more source
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
A Discrete Collocation Method for Boundary Integral Equations
, 1994 We propose a discrete collocation method for the boundary integral equations which arise from solving Laplace's equation \Deltau = 0. The Laplace's equation is defined on connected regions D in R 3 with a smooth boundary S.
Yajun Yang
core
A Stable Numerical Method For Inverting Shape From Moments
, 1997 . We derive a stable technique, based upon matrix pencils, for the reconstruction of (or approximation by) polygonal shapes from moments. Wepoint out that this problem can be considered the dual of 2 ; D numerical quadrature over polygonal domains.
Peyman Milanfar +2 more
core
Symmetries of Linear Functionals
, 1994 It is shown that a linear functional on a space of functions can be described by G, a group of its symmetries, together with the restriction of to certain G-invariant functions. This simple consequence of invariant theory has long been used, implicitly,
Shayne Waldron
core
Testing Multivariate Uniformity and Its Applications
, 2007 Some new statistics are proposed to test the uniformity of random samples in the multidimensional unit cube [0; 1] d (d 2). These statistics are derived from the number-theoretic methods or quasi-Monte Carlo methods for measuring discrepancy of points
Run-ze Li +3 more
core
Construction and applications of Gaussian quadratures with nonclassical and exotic weight functions
, 2015 In 1814 Carl Friedrich Gauß (1777–1855) developed his famous method of numerical integration which dramatically improves the earlier method of Isaac Newton (1643–1727) from 1676.
MILOVANOVIĆ, Gradimir V.
core
An optimal quadrature formula exact to the exponential function by the phi function method
The numerical integration of definite integrals is essential in fundamental and applied sciences. The accuracy of approximate integral calculations is contingent upon the initial data and specific requirements, leading to the imposition of diverse ...
BABAEV, Samandar +3 more
core +1 more source