基本信息科学研究论文著作学术活动教学研究Xiong Meng
基本信息
孟雄，男，1985年9月出生于安徽固镇，哈尔滨工业大学数学系副教授、硕导，欧盟玛丽居里学者，主要研究方向为对流占优偏微分方程的高阶精度数值方法，包括有限差分和有限体积的加权本质无振荡 (WENO) 方法、间断有限元 (DG) 方法等。


工作经历

*2015.12 – 至 今：哈尔滨工业大学数学系 副教授（青年拔尖）

*2014.09 – 2016.08：英国东安格利亚大学 数学院 玛丽居里学者

*2013.10 – 2015.12：哈尔滨工业大学数学系 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博士生

*2008.09–2013.10： 哈尔滨工业大学 数学系博士

*2004.09–2008.07： 哈尔滨工业大学 数学系学士


荣誉称号

名称欧盟玛丽居里学者

获奖时间2014年2月

获奖地点,颁奖机构欧盟



主要任职
研究领域

研究方向：

* 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

科研项目

[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，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， 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


期刊论文



[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, submitted.

[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, submitted.

[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, DOI: 10.1007/s10915-018-0831-6, to appear, 24pp.

[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 (2018), pp. 125–155.

[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 (2017), pp. 27–73.

[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 (2017),pp. 1233–1267.

[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 (2016), pp. 1225–1261.

[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 (2015), pp.1041–1060.

[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 (2012), pp.2336–2356.

[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 (2012), pp.1294–1328.


讲授课程
* 本科生课程：

—基础与应用数学现代知识选讲（2016 秋、2018 春、2018 秋）

—计算方法（2017 春、2019春）

—数学实验上机（2017 春）

* 研究生课程：

— 非线性双曲型方程数值解法（2017 春、2018 春、2019春）

—数值分析推免（2018 秋）

学生培养
* 硕士研究生：

—2017 硕：张亚群

—2018 硕：孙 杭

* 博士研究生：

—2017 博：刘晓斌（副导师）

学术交流
[24]. Invited talk: Workshop on "HIT young mathematical scholars", School of Sciences, Harbin Institute of Technology (Shenzhen), Shenzhen, China, May 17-19, 2019.

[23]. Invited talk: Scientific Computing Seminar, School of Applied Sciences, Harbin University of Science and Technology, Harbin, China, April 24, 2019.

[22]. Workshop participation: High Order Structure-Preserving Numerical Methods: Algorithms, Analysis and Applications 2019, Tsinghua Sanya International Mathematics Forum, Sanya, Hainan, China, January 14-18, 2019.

[21]. Invited talk: Workshop on “discontinuous Galerkin methods”, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China, November 22-24, 2018.

[20]. Invited talk: Workshop on "Research programming for young scholars", Tianyuan Mathematical Center in Northeast China, Harbin Institute of Technology, Harbin, China, September 22-23, 2018.

[19]. Mini-symposia organizer: Minisymposia on "The many aspects of Superconvergence and its importance in discontinuous Galerkin methods", International Conference On Spectral and High Order Methods 2018, Imperial College London, London, UK, July 9 -13, 2018.

[18]. Invited talk: Scientific Computing Seminar, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China, June 29, 2018.

[17]. Invited talk: Scientific Computing Seminar, School of Mathematical Sciences, Zhejiang University, Hangzhou, China, June 6, 2018.

[16]. Invited conference talk: The Fourth International Workshop on Development and Application of High-Order Numerical Methods, Nanjing University, Nanjing, China, May 31-June 4, 2018.

[15]. Workshop organizer: International workshop on recent advances and applications in discontinuous Galerkin methods, Harbin Institute of Technology, Harbin, China, July 18, 2017.

[14]. Invited conference talk: The Third International Workshop on Development and Application of High-Order Numerical Methods: in honor of Professor Chi-Wang Shu on his 60th birthday, University of Science and Technology of China, Hefei, China, December 16-19, 2016.

[13]. Invited mini-symposia talk: Minisymposia on "Accuracy enhancement and superconvergence of discontinuous Galerkin methods", the Mathematics of Finite Elements and Applications 2016, Brunel University London, Uxbridge, UK, June 14-17, 2016.

[12]. Invited talk: Applied Maths Seminar, School of Mathematics, University of East Anglia, Norwich, Norfolk, UK, October 5, 2015.

[11]. Invited mini-symposia talk: Minisymposia on "Discontinuous Galerkin method: recent development and applications - Part VIII of VIII", the 8th International Congress on Industrial and Applied Mathematics, China National Convention Center, Beijing, China, August 10-14, 2015.

[10]. Invited mini-symposia talk: Minisymposia on "Recent advances in numerical methods for hyperbolic conservation laws", 26th Biennial Numerical Analysis Conference, University of Strathclyde, Glasgow, UK, June 23-26, 2015.

[9]. Invited talk: Scientific Computing Seminar, Division of Applied Mathematics, Brown University, Providence, Rhode Island, USA, March 20, 2015.

[8]. Invited mini-symposia talk: Minisymposia on "Recent Developments of DG/WENO Methods for Partial Differential Equations - Part I of II", SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, USA, March 14-18, 2015.

[7]. Poster: Workshop on Recent Advances in Discontinuous Galerkin Methods, University of Reading, Reading, Berkshire, UK, September 11-12, 2014.

[6]. Invited talk: The 13th Annual Meeting of Mathematics Society of Heilongjiang Province, Northeast Petroleum University, Daqing, Heilongjiang, China, July 4-6, 2014.

[5]. Invited talk: Midwest Numerical Analysis Days, University of Notre Dame, South Bend, IN, USA, May 12-13, 2012.

[4]. Workshop participation: New England Numerical Analysis Day, University of Massachusetts Amherst, MA, USA, April 21, 2012.

[3]. Conference participation: Advances in Scientific Computing, Imaging Science and Optimization: Stan Osher on his 70th Birthday Conference at IPAM, UCLA, Los Angeles, CA, USA, April 4-6, 2012.

[2]. Workshop participation: Kinetic Theory and Computation workshop at ICERM, Brown University, Providence, RI, USA, September 7-December 9, 2011.

[1]. Conference participation: Conference on Hyperbolic Conservation Laws and Continuum Mechanics in Honor of Constantine Dafermos on his 70th Birthday, Brown University, Providence, RI, USA, May 12-14, 2011.


审稿服务
以下杂志审稿人：

* Applied Numerical Mathematics

* Communication in Computational Physics

* Computers and Mathematics with Applications

* ESAIM: Mathematical Modelling and Numerical Analysis

* International Journal of Numerical Analysis and Modeling

* Journal of Computational Mathematics

* Journal of Inequalities and Applications

* Journal of Numerical Mathematics

* Journal of Scientific Computing

* Mathematical Methods in the Applied Sciences

* Mathematics of Computation

* Numerical Algorithms

* Numerical Methods for Partial Differential Equations

* Science China Mathematics

* SIAM Journal on Numerical Analysis

* SIAM Journal on Scientific Computing

Xiong Meng

1. Basic information

* Associate Professor, Department of Mathematics, Harbin Institute of Technology

* Address: Room 925, Science Building, 92 Xidazhi Street, Harbin Institute of Technology Harbin 150001, Heilongjiang, PR China

* Tel: (+86) **

*Email: xiongmeng@hit.edu.cn

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2. Academic positions

* December 2015 -- : Associate Professor, Department of Mathematics, Harbin Institute of Technology

* September 2014 -- August 2016: Marie Curie Research Fellow, School of Mathematics, University of East Anglia

* October 2013 -- December 2015: Assistant Professor, Department of Mathematics, Harbin Institute of Technology

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3. Education

* August 2010 -- August 2012: Visiting Research Fellow, Division of Applied Mathematics, Brown University, Co-advisor: Prof. Chi-Wang Shu

* September 2008 -- October 2013: Ph.D. in Applied Mathematics, Department of Mathematics, Harbin Institute of Technology, Advisor: Prof. Boying Wu

* September 2004 -- July 2008: B. S. in Mathematics, Department of Mathematics, Harbin Institute of Technology

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4. Research Interests

* High order methods for solving convection-dominated problems using:

— Finite difference and/or finite volume weighted essentially non-oscillatory (WENO) methods

— Discontinuous Galerkin (DG) finite element methods

* Numerical analysis: superconvergence of DG and LDG methods, Computational fluid dynamics

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5 Publications

[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, submitted.

[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, submitted.

[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, DOI: 10.1007/s10915-018-0831-6, to appear, 24pp.

[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 (2018), pp. 125 – 155.

[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 (2017), pp. 27 – 73.

[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 (2017), pp. 1233 – 1267.

[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 (2016), pp. 1225 – 1261.

[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 (2015), pp.1041 – 1060.

[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 (2012), pp.2336 – 2356.

[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 (2012), pp.1294 – 1328.

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6. Academic Communications

[24]. Invited talk: Workshop on "HIT young mathematical scholars", School of Sciences, Harbin Institute of Technology (Shenzhen), Shenzhen, China, May 17-19, 2019.

[23]. Invited talk: Scientific Computing Seminar, School of Applied Sciences, Harbin University of Science and Technology, Harbin, China, April 24, 2019.

[22]. Workshop participation: High Order Structure-Preserving Numerical Methods: Algorithms, Analysis and Applications 2019, Tsinghua Sanya International Mathematics Forum, Sanya, Hainan, China, January 14-18, 2019.

[21]. Invited talk: Workshop on “discontinuous Galerkin methods”, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China, November 22-24, 2018.

[20]. Invited talk: Workshop on "Research programming for young scholars", Tianyuan Mathematical Center in Northeast China, Harbin Institute of Technology, Harbin, China, September 22-23, 2018.

[19]. Mini-symposia organizer: Minisymposia on "The many aspects of Superconvergence and its importance in discontinuous Galerkin methods", International Conference On Spectral and High Order Methods 2018, Imperial College London, London, UK, July 9 -13, 2018.

[18]. Invited talk: Scientific Computing Seminar, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China, June 29, 2018.

[17]. Invited talk: Scientific Computing Seminar, School of Mathematical Sciences, Zhejiang University, Hangzhou, China, June 6, 2018.

[16]. Invited conference talk: The Fourth International Workshop on Development and Application of High-Order Numerical Methods, Nanjing University, Nanjing, China, May 31-June 4, 2018.

[15]. Workshop organizer: International workshop on recent advances and applications in discontinuous Galerkin methods, Harbin Institute of Technology, Harbin, China, July 18, 2017.

[14]. Invited conference talk: The Third International Workshop on Development and Application of High-Order Numerical Methods: in honor of Professor Chi-Wang Shu on his 60th birthday, University of Science and Technology of China, Hefei, China, December 16-19, 2016.

[13]. Invited mini-symposia talk: Minisymposia on "Accuracy enhancement and superconvergence of discontinuous Galerkin methods", the Mathematics of Finite Elements and Applications 2016, Brunel University London, Uxbridge, UK, June 14-17, 2016.

[12]. Invited talk: Applied Maths Seminar, School of Mathematics, University of East Anglia, Norwich, Norfolk, UK, October 5, 2015.

[11]. Invited mini-symposia talk: Minisymposia on "Discontinuous Galerkin method: recent development and applications - Part VIII of VIII", the 8th International Congress on Industrial and Applied Mathematics, China National Convention Center, Beijing, China, August 10-14, 2015.

[10]. Invited mini-symposia talk: Minisymposia on "Recent advances in numerical methods for hyperbolic conservation laws", 26th Biennial Numerical Analysis Conference, University of Strathclyde, Glasgow, UK, June 23-26, 2015.

[9]. Invited talk: Scientific Computing Seminar, Division of Applied Mathematics, Brown University, Providence, Rhode Island, USA, March 20, 2015.

[8]. Invited mini-symposia talk: Minisymposia on "Recent Developments of DG/WENO Methods for Partial Differential Equations - Part I of II", SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, USA, March 14-18, 2015.

[7]. Poster: Workshop on Recent Advances in Discontinuous Galerkin Methods, University of Reading, Reading, Berkshire, UK, September 11-12, 2014.

[6]. Invited talk: The 13th Annual Meeting of Mathematics Society of Heilongjiang Province, Northeast Petroleum University, Daqing, Heilongjiang, China, July 4-6, 2014.

[5]. Invited talk: Midwest Numerical Analysis Days, University of Notre Dame, South Bend, IN, USA, May 12-13, 2012.

[4]. Workshop participation: New England Numerical Analysis Day, University of Massachusetts Amherst, MA, USA, April 21, 2012.

[3]. Conference participation: Advances in Scientific Computing, Imaging Science and Optimization: Stan Osher on his 70th Birthday Conference at IPAM, UCLA, Los Angeles, CA, USA, April 4-6, 2012.

[2]. Workshop participation: Kinetic Theory and Computation workshop at ICERM, Brown University, Providence, RI, USA, September 7-December 9, 2011.

[1]. Conference participation: Conference on Hyperbolic Conservation Laws and Continuum Mechanics in Honor of Constantine Dafermos on his 70th Birthday, Brown University, Providence, RI, USA, May 12-14, 2011.

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7. Reviewer for Journals

* Applied Numerical Mathematics

* Communication in Computational Physics

* Computers and Mathematics with Applications

* ESAIM: Mathematical Modelling and Numerical Analysis

* International Journal of Numerical Analysis and Modeling

* Journal of Computational Mathematics

* Journal of Inequalities and Applications

* Journal of Numerical Mathematics

* Journal of Scientific Computing

* Mathematical Methods in the Applied Sciences

* Mathematics of Computation

* Numerical Algorithms

* Numerical Methods for Partial Differential Equations

* Science China Mathematics

* SIAM Journal on Numerical Analysis

* SIAM Journal on Scientific Computing

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8. Honors and Awards
* Excellent Doctor Dissertation, Harbin Institute of Technology, 2015.

* Marie Curie Fellow, European Commission, 2014.