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Jinchao Xu holds the titles of Verne M. Willaman Professor of Mathematics, Director of the Center for Computational Mathematics and Applications at the Pennsylvania State 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). In 2019, Xu was elected as the American Association for the Advancement of Science (AAAS) Fellow.
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’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.
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Computational Materials Science (2024): 112814
Huang Huang, F. Richard Yu,Jianqing Zhu,Xuening Sun, Hongtai Cheng,Dingjie Song,Zhi Hong Chen, Adel Alharthi,Bang An,Ziche Liu,Zhiyi Zhang,Junying Chen,
arXiv (Cornell University) (2023)
Jinchao Xu, Xin Xu
Mathematical Models and Methods in Applied Sciencesno. 08 (2023): 1721-1746
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ICLR 2023 (2023)
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ICLR 2024 (2023)
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