Member of the Academia Europe, 2023

Fellow of the European Academy of Sciences, 2022

Fellow of the American Association for the Advancement of Science, The Advancement of Science (AAAS), 2019

Fellow of the Inaugural class of the American Mathematical Society, The American Mathematical Society AMS, 2012

Most Outstanding Chinese Doctoral Dissertation Supervisor Award, 2011

SIAM Fellow, 2011

Alexander Humboldt Research Award for Senior US Scientists, 2005

Research Award for National Outstanding Youth (Class B), 2006

Iterative methods by space decomposition and subspace correction J Xu SIAM review 34 (4), 581-613

Parallel multilevel preconditioners JH Bramble, JE Pasciak, J Xu Mathematics of computation 55 (191), 1-22

Two-Grid Discretization Techniques for Linear and Nonlinear PDEs J Xu SIAM journal on numerical analysis 33 (5), 1759-1777

A novel two-grid method for semilinear elliptic equations J Xu SIAM Journal on Scientific Computing 15 (1), 231-237

Convergence estimates for multigrid algorithms without regularity assumptions JH Bramble, JE Pasciak, JP Wang, J Xu Mathematics of Computation 57 (195), 23-45