个人简历

孟雄，男，1985年9月生于安徽固镇，欧盟玛丽居里学者、美国布朗大学访问学者
工作经历
* 2019.09 – 2020.07： 美国布朗大学 应用数学系 访问学者（合作导师 Chi-Wang Shu 教授）
* 2015.12 – 至 今： 哈尔滨工业大学 数学学院 副教授（青年拔尖）
* 2014.09 – 2016.08： 英国东安格利亚大学 数学学院 玛丽居里学者 (合作导师 Jennifer K. Ryan 教授)
* 2013.10 – 2015.12： 哈尔滨工业大学 数学学院 讲师
教育经历
* 2010.08 – 2012.08： 美国布朗大学 应用数学系 联合培养 （联合导师 Chi-Wang Shu 教授）
* 2008.09 – 2013.10： 哈尔滨工业大学 数学学院 博 士 （导师 吴勃英 教授）
* 2004.09 – 2008.07： 哈尔滨工业大学 数学学院 学 士
荣誉称号
欧盟玛丽居里学者
科研项目
[5]. 非线性双曲方程间断有限元方法的理论及应用研究, 国家自然科学基金面上项目, 11971132, 2020.01 – 2023.12, 45 万元, 在研, 主持
[4]. 非线性方程间断有限元方法的后处理研究, 哈工大青年拔尖人才选聘计划, 2016.04 – 2018.12, 20 万元, 已结题, 主持
[3]. KdV和双曲方程基于一般数值流通量的间断有限元方法, 国家自然科学基金青年基金, 11501149, 2016.01 – 2018.12, 18 万元, 已结题, 主持
[2]. Useful superconvergence extraction for filtering of underresolved solutions, 欧盟“玛丽居里行动”计划, PIIF-GA-2013-622845, 2014.09 – 2016.08, 23.1 万欧元（约 191.2 万元）, 已结题, 主持
[1]. 波动方程间断有限元方法的收敛性研究, 哈工大理学创新研究发展培育计划, 2014.01 – 2015.12, 5 万元, 已结题, 主持
学术交流
[28]. Invited talk: Computational Science Seminar, the Mathematics Department and the College of Engineering, University of Massachusetts Dartmouth, North Dartmouth, Massachusetts, USA, October 9, 2019.
[27]. Invited mini-symposia talk: Minisymposia on \

研究领域

* 计算流体力学的高阶精度数值方法，包括加权本质无振荡 (WENO) 方法和间断有限元 (DG) 方法等
* 间断有限元方法的超收敛性研究，包括超逼近性质和负模误差估计与后处理理论等
* 基于一般数值流通量的间断有限元方法及其最优误差估计""

近期论文

[15]. Xiaobin Liu, Dazhi Zhang, Xiong Meng*, and Boying Wu, Superconvergence of the local discontinuous Galerkin method for one dimensional nonlinear convection-diffusion equations, Journal of Scientific Computing, to appear, https://doi.org/10.1007/s10915-021-01446-7.paper.pdf
[14]. Hongjuan Zhang, Boying Wu, and Xiong Meng*, A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrodinger equations, Communications on Applied Mathematics and Computation, to appear, https://doi.org/10.1007/s42967-020-00100-7. paper.pdf
[13]. Yuan Xu, Xiong Meng, Chi-Wang Shu, and Qiang Zhang*, Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation, Journal of Scientific Computing, to appear, https://doi.org/10.1007/s10915-020-01274-1. paper.pdf
[12]. Minghui Liu, Boying Wu, and Xiong Meng*, Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations, Journal of Scientific Computing, to appear, https://doi.org/10.1007/s10915-020-01197-x. paper.pdf
[11]. Xiaobin Liu, Dazhi Zhang, Xiong Meng*, and Boying Wu, Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations, Science China Mathematics, to appear, https://doi.org/10.1007/s11425-019-1627-7. paper.pdf
[10]. Jia Li, Dazhi Zhang, Xiong Meng*, Boying Wu, and Qiang Zhang, Discontinuous Galerkin methods for nonlinear scalar conservation laws: Generalized local Lax–Friedrichs numerical fluxes, SIAM Journal on Numerical Analysis, 58(1), 2020, pp. 1–20. paper.pdf
[9]. Jia Li, Dazhi Zhang, Xiong Meng*, and Boying Wu, Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations, Mathematics of Computation, 89(325), 2020, pp. 2085–2111. paper.pdf
[8]. Jia Li, Dazhi Zhang, Xiong Meng*, and Boying Wu, Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients, Journal of Scientific Computing, 78(3), 2019, pp. 1305–1328. paper.pdf
[7]. Xiong Meng, and Jennifer K. Ryan*, Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws, IMA Journal of Numerical Analysis, 38(1), 2018, pp. 125–155. paper.pdf
[6]. Xiong Meng, and Jennifer K. Ryan*, Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement, Numerische Mathematik, 136(1), 2017, pp. 27–73. paper.pdf
[5]. Yao Cheng, Xiong Meng, and Qiang Zhang*, Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations, Mathematics of Computation, 86(305), 2017, pp. 1233–1267. paper.pdf
[4]. Xiong Meng, Chi-Wang Shu*, and Boying Wu, Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations, Mathematics of Computation, 85(299), 2016, pp. 1225–1261. paper.pdf
[3]. Xiong Meng, Chi-Wang Shu*, and Yang Yang, Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations (in Chinese), Scientia Sinica Mathematica, 45(7), 2015, pp.1041–1060. paper.pdf
[2]. Xiong Meng*, Chi-Wang Shu, Qiang Zhang and Boying Wu, Superconvergence of discontinuous Galerkin method for scalar nonlinear conservation laws in one space dimension, SIAM Journal on Numerical Analysis, 50(5), 2012, pp. 2336–2356. paper.pdf
[1]. Xiong Meng*, Chi-Wang Shu, and Boying Wu, Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension, IMA Journal of Numerical Analysis, 32(4), 2012, pp.1294–1328. paper.pdf