Research Interests


Publications

On the backward error incurred by the compact rational Krylov linearization
Chen, H. and Xu, K.
J. Sci. Comput. 89 (2021), pp. 1-22.
Volterra-type Convolution of classical polynomials
Loureiro, A. F. and Xu, K.
Math. Comp. 88 (2019), pp. 2351-2381.
Spectral approximation of convolution operator
Xu, K. and Loureiro, A. F.
SIAM J. Sci. Comput. 40 (2018), no. 4, pp. A2336-A2355.
A fast algorithm for the convolution of functions with compact support using Fourier extensions
Xu, K., Austin, A. P., and K. Wei
SIAM J. Sci. Comput. 39 (2017), no. 6, pp. A3089-A3106.
On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points
Austin, A. P. and Xu, K.
IMA J. Numer. Anal. 37 (2017), pp. 1355-1374.
The Chebyshev points of the first kind
Xu, K.
Appl. Numer. Math. 102 (2016), pp. 17-30.
Forced generation of solitary waves in uniform shear flows
Xu, K.
submitted to Phys. Rev. E. (2017)
Explicit construction of rectangular differentiation matrices
Xu, K. and Hale, N.
IMA J. Numer. Anal. 36 (2016), pp. 618-632.
Extension of the continuum time-dependent Hartree-Fock method to proton states
Pardi, C. I., Stevenson, P. D., and Xu, K.
Phys. Rev. E 89 (2014), 033312.
A bootstrap method for sum-of-pole approximations
Xu, K. and Jiang, S.
J. Sci. Comput. 55 (2013), pp. 16-39.
Analytical and computational methods for two-phase flow with soluble surfactant
Xu, K., Booty, M., and Siegel, M.
SIAM J. Appl. Math. 73 (2013), pp. 523-548.