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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…