Jinchao Xu holds the titles of Verne M. Willaman Professor of Mathematics, Francis R. and Helen M. Pentz Professor of Science, Director of the Center for Computational Mathematics and Applications at the Pennsylvania State University and he also holds the Changjiang Professorship at Peking University. He was a plenary speaker at the International Congress for Industrial and Applied Mathematics in 2007 and a 45-minute invited speaker at the International Congress for Mathematicians in 2010. He is a Fellow of the Society for Industrial and Applied Mathematics (SIAM) and also a fellow in the inaugural class of the American Mathematical Society (AMS).
Xu’s research specialty is numerical methods for partial
differential equations that arise from modeling scientific and
engineering problems. One major research interest is in multigrid
methods for their theoretical analysis, algorithmic developments, and
practical application, especially developing, designing, and analyzing
fast methods for solving large-scale systems of equations. His work
ranges from studying fundamental theoretical questions in numerical
analysis to developing and applying numerical algorithms for practical
applications. He is, perhaps, best known for the Bramble-Pasciak-Xu
preconditioner — an algorithm that is one of the two most fundamental
multigrid approaches to solve large-scale discretized partial
differential equations. He is also noted for the Hiptmair-Xu
preconditioner, which was featured in 2008
by the U.S. Department of Energy as one of the top 10 breakthroughs in
computational science in recent years.
Xu earned his doctoral degree at Cornell University in 1989. He joined the Pennsylvania State University in 1989 as an assistant professor of mathematics, and was promoted to associate professor in 1991 and professor in 1995. He was named a Distinguished Professor of Mathematics in 2007.