Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710397 | Applied Mathematics Letters | 2007 | 8 Pages |
Abstract
We consider a Gaussian type quadrature rule for some classes of integrands involving highly oscillatory functions of the form f(x)=f1(x)sinζx+f2(x)cosζxf(x)=f1(x)sinζx+f2(x)cosζx, where f1(x)f1(x) and f2(x)f2(x) are smooth, ζ∈Rζ∈R. We find weights σνσν and nodes xν,ν=1,2,…,nxν,ν=1,2,…,n, in a quadrature formula of the form ∫−11f(x)dx≈∑ν=1nσνf(xν) such that it is exact for all polynomials f1(x)f1(x) and f2(x)f2(x) from Pn−1Pn−1. We solve the existence question, partially.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
G.V. Milovanović, A.S. Cvetković, M.P. Stanić,