Chebyshev-Type Quadrature Formulas for New Weight Classes
Numerical Analysis
2011-11-15 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We give Chebyshev-type quadrature formulas for certain new weight classes. These formulas are of highest possible degree when the number of nodes is a power of 2. We also describe the nodes in a constructive way, which is important for applications. One of our motivations to consider these type of problems is the Faraday cage phenomenon for discrete charges as discussed by J. Korevaar and his colleagues.
Keywords
Cite
@article{arxiv.1111.3058,
title = {Chebyshev-Type Quadrature Formulas for New Weight Classes},
author = {Armen Vagharshakyan},
journal= {arXiv preprint arXiv:1111.3058},
year = {2011}
}