2 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.NA2025
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…