16 citations · 23 across the 4 of their papers we have counts for
4 papers
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…
Volterra-type convolution of classical polynomials
Ana F. Loureiro, Kuan Xu
We present a general framework for calculating the Volterra-type convolution of polynomials from an arbitrary polynomial sequence with . B…
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…
Extension of continuum time-dependent Hartree-Fock method to proton states
C. I. Pardi, P. D. Stevenson, K. Xu
This paper deals with the solution of the spherically symmetric time-dependent Hartree-Fock approximation applied to nuclear giant monopole resonances in the small amplitude regime…