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个人简介

教育经历 1996.9–1999.7, 山东大学, 计算数学, 博士 1993.9–1996.7, 山东大学, 计算数学, 硕士 1989.9–1993.7, 山东大学, 计算数学及其应用软件, 学士 工作经历 2013.9至今, 北京应用物理与计算数学研究所, 计算物理重点实验室, 研究员 2012.9-2012.11, 美国布朗大学, 应用数学系, 访问副教授 2001.5-2013.8, 北京应用物理与计算数学研究所, 计算物理重点实验室, 副研究员 1999.7-2001.5, 北京应用物理与计算数学研究所, 博士后

研究领域

从事偏微分方程数值解法、特别是辐射流体力学中多维辐射扩散及相关问题的数值方法研究,包括有限差分、有限体积、有限元方法以及并行与迭代加速方法研究。目前主要研究方向:扩散问题非结构网格上有限体积计算方法、高效并行方法、非线性离散格式与迭代加速方法设计与性质分析、辐射流体力学耦合问题计算方法等。

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

1. X. Cui, G. W. Yuan, Z. J. Shen, An efficient solving method for nonlinear convection diffusion equation, International Journal of Numerical Methods for Heat & Fluid Flow, 28:1 (2018) 173-187. 2. X. Cui, Z. J. Shen, G. W. Yuan, Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries, Communications in Computational Physics, 23:1 (2018) 198-229. 3. X. Cui, G. W. Yuan, Z. J. Shen, Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion, Journal of Computational Physics, 313 (2016) 415-429. 4. X. Cui, G. W. Yuan, J. Y. Yue, Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution, Numerical Methods for Partial Differential Equations, 32 (2016) 121-140. 5. X. Cui, G. W. Yuan, J. Y. Yue, An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system, Journal of Computational and Applied Mathematics, 236:2 (2011) 253-264. 6. X. Cui, J. Y. Yue, G. W. Yuan, Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system, Journal of Computational and Applied Mathematics, 235:12 (2011) 3527-3540. 7. X. Cui, J. Y. Yue, A nonlinear iteration method for solving a two-dimensional nonlinear coupled system of parabolic and hyperbolic equations, Journal of Computational and Applied Mathematics, 234:2 (2010) 343-364. 8. X. Z. Liu, X. Cui, G. Q. Zheng, J. H. Yong, J. G. Sun, Dynamic PDE parametric curves, Journal of Computational and Applied Mathematics, 220:1-2 (2008) 322-334. 9. X. Z. Liu, X. Cui, J. G. Sun, FDM for multi-dimensional nonlinear coupled system of parabolic and hyperbolic equations, Journal of Computational and Applied Mathematics, 186:2 (2006) 432-449. 10. X. Cui, Finite volume numerical analysis for parabolic equation with Robin boundary condition, Journal of Computational Mathematics, 23:2 (2005) 165-176.

学术兼职

美国数学会Mathematical Reviews评论员、JCAM等学术期刊审稿人

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