A new 11 point degree 6 cubature formula for the triangle
نویسندگان
چکیده
منابع مشابه
Can a Minimal Degree 6 Cubature Rule for the Disk Have All Points Inside?
We use positivity and extension properties of moment matrices to prove that a 10-node (minimal) cubature rule of degree 6 for planar measure on the closed unit disk D̄ cannot have all nodes in D̄ . We construct examples showing that such rules may have as many as 9 points in D̄, and we provide similar examples for the triangle.
متن کاملMeshless cubature by Green's formula
By coupling the flexibility of Thin-Plate Splines interpolation with Green’s integral formula, we obtain a meshless cubature method from scattered samples of small/moderate size, on convex as well as nonconvex and even multiply connected polygonal domains. 2000 AMS subject classification: 65D05, 65D32.
متن کاملImproving Point Selection in Cubature by a New Discrepancy
Reasonable point set selection is of paramount importance to the accuracy of highdimensional integrals that will be encountered in various disciplines. In the present paper, to improve the point selection and to overcome the computational complexity of evaluating classical discrepancies, the concept of extended F-discrepancy (EF-discrepancy) and generalized F-discrepancy (GF-discrepancy) of a p...
متن کاملOn the composite Bernstein type cubature formula
Considering a given function f ∈ C([0, 1] × [0, 1]), the bivariate interval [0, 1] × [0, 1] is divided in mn equally spaced bivariate subintervals k−1 m , k m × j−1 n , j n , k = 1, m, j = 1, n. On each such type of subinter-vals the Bernstein bivariate approximation formula is applied and a corresponding Bernstein type cubature formula is obtained. Making the sum of mentioned cubature formulas...
متن کاملHigh-degree cubature Kalman filter
The cubature Kalman filter (CKF), which is based on the third degree spherical–radial cubature rule, is numericallymore stable than the unscented Kalman filter (UKF) but less accurate than theGauss–Hermite quadrature filter (GHQF). To improve the performance of the CKF, a new class of CKFs with arbitrary degrees of accuracy in computing the spherical and radial integrals is proposed. The third-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200700477