Liu Yunxian
Professor
刘蕴贤，山东大学数学学院科学计算与软件研究所教授，计算物理学会常务理事，计算石油地质专业委员会秘书，Mathematics of Computation、JCP、JSC等国际一流期刊审稿人。 主要从事偏微分方程的数值解法研究，涉及连续有限元方法、DG方法、有限差分方法、配置方法、交替方向法等的理论研究及应用，侧重于半导体问题的数值解法。 主持国家自然科学基金、山东省自然科学基金、教育部留学回国基金、中国石化股份胜利油田分公司地质科学研究院项目多项；在国内外学术期刊发表论文数十篇... More+
Paper Publications
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[1] 艾露露 and 刘蕴贤. 半导体问题漂移扩散模型的超弱间断Galerkin方法. 山东大学学报 理学版, 2024.
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[2] Li Wenjuan , Liu Yunxian , Gao Fuzheng and Cui Jintao. A weak Galerkin finite element method for 1D semiconductor device simulation models. Journal of Computational and Applied Mathematics, 438, 2024.
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[3] 肖红单 and 刘蕴贤. 半导体Drift-Diffusion模型的局部间断Galerkin方法及数值模拟. 山东大学学报 理学版, 58, 1-12, 2023.
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[4] Wang, Haijin , Liu Yunxian , Zhang Qiang and Shu Chi-Wang. LOCAL DISCONTINUOUS GALERKIN METHODS WITH IMPLICIT-EXPLICIT TIME-MARCHING FOR TIME-DEPENDENT INCO.... MATHEMATICS OF COMPUTATION, 88, 91, 2019.
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[5] Liu Yunxian and Shu Chi-Wang. Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconducto.... Science China-Mathematics, 59, 115, 2016.
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[6] Liu Yunxian and Shu Chi-Wang. Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device .... SCIENCE CHINA Mathematics, 53, 3255, 2010.
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[7] 田明鲁 and 刘蕴贤. Cahn-Hilliard方程的局部间断Galerkin方法. 山东大学学报(理学版), 45, 27, 2010.
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[8] He Liping and Liu Yunxian. A class of stable spectral methods for the Cahn-Hilliard equation. Journal of Computational Physics, 228, 5101-5110, 2009.
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[9] Yinnian He and Liu Yunxian. Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation. Numerical Methods for Partial Differential Eq, 24, 1485, 2008.
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[10] Chen Shanqin , E Weinan , Liu Yunxian and Shu Chi-Wang. A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic.... Journal of Computational Physics, 225, 1314-1330, 2007.
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[11] Yinnian He , Yunxian Liu and Tao Tang. On large time-stepping methods for the Cahn-Hilliard equation. Applied Numerical Mathematics, 57, 616, 2007.
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[12] Liu Yunxian and Shu Chi-Wang. Local discontinuous Galerkin methods for moment models in device simulations: performance assessm.... Applied Numerical Mathematics, 57, 629, 2007.
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[13] Liu Yunxian and Shu Chi-Wang. Local discontinuous Galerkin methods for moment models in device simulations: Formulation and one.... Journal of Computational Electronics, 169-170, 2004.