3 papers
math.NA2016
Modified Filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator
Hassan Majidian
Filon-Clenshaw-Curtis rules are among rapid and accurate quadrature rules for computing highly oscillatory integrals. In the implementation of the Filon-Clenshaw-Curtis rules in th…
math.NA2014
On the existence of orthogonal polynomials for oscillatory weights on a bounded interval
Hassan Majidian
It is shown that the orthogonal polynomials, corresponding to the oscillatory weight $e^{\imωx}$, exists if is a transcendental number and $\tanω/ω\in\Q$. Also, it is proved th…
math.NA2008
A degenerate kernel method for eigenvalue problems of a class of non-compact operators
Hassan Majidian, Esmail Babolian
We consider the eigenvalue problem of certain kind of non-compact linear operators given as the sum of a multiplication and a kernel operator. A degenerate kernel method is used to…