个人简历

Experience
Research Professor
School of Mathematical Sciences, University of Science and Technology of China, September 2018 - Present
Assistant Professor (tenured)
School of Mathematics, Statistics, and Actuarial Science, University of Kent, August 2015 - August 2018
Postdoctoral Research Fellow
Mathematical Institute, Oxford University, September 2012 - August 2015Research in numerical analysis. Core member of Chebfun project.
Supervisor: Prof. L. N. Trefethen FRS
Algorithm ScientistGeneral Electric Global Research, General Electric, Niskayuna, NY, USA, May 2011 to May 2012Research in scientific computing.
Education
PhD, Computational Mathematics
New Jersey Institute of Technology & Rutgers, the State University of New Jersey, New Jersey, USA, 2010

研究领域

Approximation theory
Spectral methods
Fast algorithms
Orthogonal polynomials""

近期论文

On the backward error incurred by the compact rational Krylov linearizationChen, 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. 2351-2381.
Spectral approximation of convolution operatorXu, 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 extensionsXu, K., Austin, A. P., and K. WeiSIAM 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 pointsAustin, A. P. and Xu, K.IMA J. Numer. Anal. 37 (2017), pp. 1355-1374.
The Chebyshev points of the first kindXu, K. Appl. Numer. Math. 102 (2016), pp. 17-30.
Forced generation of solitary waves in uniform shear flowsXu, K.submitted to Phys. Rev. E. (2017)
Explicit construction of rectangular differentiation matricesXu, K. and Hale, N.IMA J. Numer. Anal. 36 (2016), pp. 618-632.
Extension of the continuum time-dependent Hartree-Fock method to proton statesPardi, C. I., Stevenson, P. D., and Xu, K.Phys. Rev. E 89 (2014), 033312.
A bootstrap method for sum-of-pole approximationsXu, K. and Jiang, S. J. Sci. Comput. 55 (2013), pp. 16-39.
Analytical and computational methods for two-phase flow with soluble surfactantXu, K., Booty, M., and Siegel, M.SIAM J. Appl. Math. 73 (2013), pp. 523-548.