School of Mathematical Sciences University of Science and Technology of China 96 Jinzhai Road Hefei, 230026 Anhui, China 
+86 551 63600859 kuanxu@ustc.edu.cn 
Supervisor: Prof. L. N. Trefethen FRS
Supervisors: Prof. Michael R. Booty and Prof. Michael Siegel
On the backward error incurred by the compact rational Krylov linearization Chen, H. and Xu, K. Submitted to SIAM J. Matrix Anal. Applics. (2019) 

Convolution of classical orthogonal polynomials Loureiro, A. F. and Xu, K. Math. Comp. 88 (2019), pp. 23512381. 

Spectral approximation of convolution operators Xu, K. and Loureiro, A. F. SIAM J. Sci. Comput. 40 (2018), no. 4, pp. A2336A2355. 

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. A3089A3106. 

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. 13551374. 

The Chebyshev points of the first kind Xu, K. Appl. Numer. Math. 102 (2016), pp. 1730. 

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. 618632. 

Extension of the continuum timedependent HartreeFock method to proton states Pardi, C. I., Stevenson, P. D., and Xu, K. Phys. Rev. E 89 (2014), 033312. 

A bootstrap method for sumofpole approximations Xu, K. and Jiang, S. J. Sci. Comput. 55 (2013), pp. 1639. 

Analytical and computational methods for twophase flow with soluble surfactant Xu, K., Booty, M., and Siegel, M. SIAM J. Appl. Math. 73 (2013), pp. 523548. 