Prof. Dr. Yan Xu

Profile

Academic positionFull Professor
Research fieldsGeneral and overarching topics in Mathematics; collections,Numerical Analysis, Optimization, Simulation,Theoretical Physics
Keywordsadaptivity, discontinuous Galerkin method, nonlinear wave equations, posteriori error estimate, stability

Current contact address

CountryPeople's Republic of China
CityHefei
InstitutionUniversity of Science and Technology of China (USTC)
InstituteSchool of Mathematical Sciences
Homepagehttp://staff.ustc.edu.cn/~yxu/index.htm

Host during sponsorship

Prof. Dr. Dietmar KrönerAbteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Freiburg
Prof. Dr. Christian KlingenbergInstitut für Mathematik, Julius-Maximilians-Universität Würzburg, Würzburg
Start of initial sponsorship01/09/2009

Programme(s)

2008Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2013Liangyue Ji, Yan Xu, Jennifer K Ryan : Negative-Order Norm Estimates for Nonlinear Hyperbolic Conservation Laws. In: Journal of Scientific Computing, 2013, 531-548
2012L. Ji, Y. Xu and J.K. Ryan: Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions, 81(2012), pp.1929-1950.. In: Mathematics of Computation, 2012, 1929-1950
2012L.Y. Ji and Yan Xu: Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes. In: Journal of Scientific Computing, 2012, 1-27
2011 Yan Xu and Chi-Wang Shu: Local discontinuous Galerkin methods for the Degasperis-Procesi equation. In: Communications in Computational Physics, 2011, 474-508
2011L.Y. Ji and Yan Xu: Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. In: International Journal of Numerical Analysis & Modeling, 2011, 252-283