Jinchao Xu is a computational mathematician of
extraordinary depth and breadth. His work is a perfect
combination of theoretical elegance and practical usefulness
and strikes an excellent balance between rigor versus
practicality. Dr. Xu is a world-renowned expert in
developing fast algorithms for scientific and engineering
applications. Xu’s remarkable success in a wide range of
engeerning applications is largely due to his deep
mathematical works in the design and analysis of fast
multilevel iterative methods such as multigrid and domain
decomposition methods for large-scale discretized partial
differential equation (PDE) systems. His fundamental
contributions in this field have resulted in several
well-known results that bear his name, including the
Bramble-Pasciak-Xu (BPX) and Hiptmair-Xu (HX)
preconditioners, Xu-Zikatanov (XZ) identity, and
Morley-Wang-Xu (MWX) element.
He is a Fellow of the Academia Europaea, the European
Academy of Sciences, the American Association for the
Advancement of Science (AAAS), the American Mathematical
Society (AMS), the Society for Industrial and Applied
Mathematics (SIAM), an invited speaker at International
Congress for Industrial and Applied Mathematics in 2007 and
also at International Congress for Mathematicians in 2010.