Numerical transforms from position to momentum space via Gaussian quadrature in the complex plane
Sign Up to like & getrecommendations! Published in 2017 at "Computational and Theoretical Chemistry"
DOI: 10.1016/j.comptc.2017.05.003
Abstract: Abstract A method for the numerical evaluation of integrals involving Bessel functions of the first kind, via non-standard Gaussian quadrature, is appraised. This method uses specialized Gaussian quadratures based on weight functions which are modified… read more here.
Keywords: transforms position; gaussian quadrature; momentum space; space ... See more keywords
Error estimates of Gaussian quadrature formulae with the third class of Bernstein-Szegő weights
Sign Up to like & getrecommendations! Published in 2017 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm1702451p
Abstract: w(t) = wα,β,δ(t) = √ 1 + t 1− t β(β − 2α) t + 2δ(β − α) t+ α + δ , t ∈ (−1, 1), where 0 < α < β, β 6=… read more here.
Keywords: bernstein szeg; error; gaussian quadrature; class bernstein ... See more keywords