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math.NA2023
Solving nonlinear ODEs with the ultraspherical spectral method
Ouyuan Qin, Kuan Xu
We extend the ultraspherical spectral method to solving nonlinear ODE boundary value problems. We propose to use the inexact Newton-GMRES framework for which an effective precondit…
math.NA2018★ 7 cited
Spectral approximation of convolution operator
Kuan Xu, Ana Loureiro
We develop a unified framework for constructing matrix approximations to the convolution operator of Volterra type defined by functions that are approximated using classical orthog…