3 papers
math.NA2025
Spectral Approximation to Fractional Integral Operators
Xiaolin Liu, Kuan Xu
We propose a fast and stable method for constructing matrix approximations to fractional integral operators applied to series in the Chebyshev fractional polynomials. This method u…
math.NA2024
Spectral approximation of convolution operators of Fredholm type
Xiaolin Liu, Kuan Deng, Kuan Xu
We have developed a method for constructing spectral approximations for convolution operators of Fredholm type. The algorithm we propose is numerically stable and takes advantage o…
math.NA2024
A continuous approach to computing the pseudospectra of linear operators
Kuan Deng, Xiaolin Liu, Kuan Xu
We propose a continuous approach to computing the pseudospectra of linear operators with compact or compact-plus-scalar resolvent, following a 'solve-then-discretize' strategy. Ins…