LIANG Hui
Address:
G1012, HIT Campus of University Town of Shenzhen  (518055)
Email:
lianghui@hit.edu.cn; wise2peak@126.com
Phone:
18800465586
PERSONAL PROFILE
 
Professor Hui Liang got her PHD degree from Harbin Institute of Technology in July, 2008. She was a Visiting Research Scholar of Hong Kong Baptist University (HKBU) during March 1, 2010-September 31, 2011, and she visited HKBU many times. She was a Visiting Scholar of Memorial University of Newfoundland during December 1, 2017-November 30, 2018. Hui Liang worked at Heilongjiang University since 2008, then she moved to Harbin Institute of Technology (Shenzhen) in 2019. Hui Liang serves on the editorial boards of the journal “Computational & Applied Mathematics”. She is a member of the Professional committee on simulation algorithms, China Simulation Federation, and she is also a member of the Mathematical Society of Heilongjiang Province. Her research interests are: the numerical analysis of delay differential equations and Volterra integral equations.
RESEARCH INTEREST
 
2019.2-date||Professor, Harbin Institute of Technology, Shenzhen##2015.9-2018.7||Professor, Heilongjiang University##2010.9-2015.8||Associated Professor, Heilongjiang University##2008.7-2010.8||Lecturer, Heilongjiang University##2017.12.1-2018.11.30||Visiting Scholar, Memorial University of Newfoundland##2017.8.1-2017.8.15||Visiting Research Scholar, Hong Kong Baptist University##2016.6.30-2016.7.29||Visiting Research Scholar, Hong Kong Baptist University##2015.3.9-2015.4.8||Visiting Research Scholar, Hong Kong Baptist University##2010.3.1-2011.9.31||Visiting Research Scholar, Hong Kong Baptist University##2009.2.27-2009.5.26||Visiting Research Scholar, Hong Kong Baptist University
EDUCATION  
2005.8-2008.7
Harbin Institute of Technology, Ph.D.
2002.9-2005.7
Zhengzhou University, M.Sc.
1998.9-2002.7
Zhengzhou University, B.Sc.
RESEARCH & WORK EXPERIENCE  
2019.2-date
Professor, Harbin Institute of Technology, Shenzhen
2015.9-2018.7
Professor, Heilongjiang University
2010.9-2015.8
Associated Professor, Heilongjiang University
2008.7-2010.8
Lecturer, Heilongjiang University
2017.12.1-2018.11.30
Visiting Scholar, Memorial University of Newfoundland
2017.8.1-2017.8.15
Visiting Research Scholar, Hong Kong Baptist University
2016.6.30-2016.7.29
Visiting Research Scholar, Hong Kong Baptist University
2015.3.9-2015.4.8
Visiting Research Scholar, Hong Kong Baptist University
2010.3.1-2011.9.31
Visiting Research Scholar, Hong Kong Baptist University
2009.2.27-2009.5.26
Visiting Research Scholar, Hong Kong Baptist University
PROFESSIONAL QUALIFICATION & ACADEMIC SERVICE
 
2018.4-date
Associate Editor, Computational & Applied Mathematics
2015.9-date
Member, Professional committee on simulation algorithms, China Simulation Federation
2014.8-date
Member, Mathematical Society of Heilongjiang Province
RESEARCH PROJECTS
2018.1-2021.12
National Natural Science Foundation of China, Analysis of theory and collocation methods for some Volterra integral algebraic equations and integro-differential algebraic equations, RMB 480,000, host
RESEARCH ACHIEVEMENT & AWARDS
2015.12.1
The article "Integral-algebraic equations: theory of collocation methods I" written by Hui Liang and Hermann Brunner was rewarded as "2015 Excellent Article" by China Simulation Federation
2018
The Second Outstanding Youth Academic Award of Heilongjiang Mathematics Society
2012.2.21
Song Minghui, Yang Zhanwen, Liang Hui, Gao Jianfang, Liu Mingzhu, Numerical analysis of delay differential equations, stochastic delay differential equations and impulsive differential equations, the First Prize in University of Science and Technology, Heilongjiang
PATENT
   
PAPER & BOOK PUBLICATIONS
PAPERS

1. Hui Liang, Hermann Brunner, Collocation methods for integro-differential algebraic equations with index-1, IMA Journal of Numerical Analysis, accepted.

2. Jianfang Gao, Hui Liang, Shufang Ma, Strong convergence of the semi-implicit Euler method for nonlinear stochastic Volterra integral equations with constant delay, Applied Mathematics and Computation, 2019, 384: 385-398.

3. Jianfang Gao, Shufang Ma, Hui Liang, Strong convergence of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations, Numerical Mathematics Theory Methods and Applications, 2019, 12(2): 547-565.

4. Hui Liang, Martin Stynes, Collocation methods for general Riemann-Liouville two-point boundary value problems, Advances in Computational Mathematics, 2018, online.

5. Hui Liang, Martin Stynes, Collocation methods for general Caputo two-point boundary value problems, Journal of Scientific Computing, 2018, 76: 390-425.

6. Tingting Zhang, Hui Liang, Multistep collocation approximations to solutions of first-kind Voterra integral equations, Applied Numerical Mathematics, 2018, 130: 171-183.

7. Hui Liang, Zhanwen Yang, Jianfang Gao, Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations, Journal of Computational and Applied Mathematics, 2017, 317: 447-457.

8. Hui Liang, hp-Legendre-Gauss collocation method for impulsive differential equations, International Journal of Computer Mathematics, 2017, 94: 151-172.

9. Hui Liang, Hermann Brunner, Integral-algebraic equations: theory of collocation methods II, SIAM Journal on Numerical Analysis, 2016, 54: 2640-2663.

10. Ran Zhang, Hui Liang, Hermann Brunner, Analysis of collocation methods for generalized auto-convolution Volterra integral equations, SIAM Journal on Numerical Analysis, 2016, 54: 899-920.

11. Hui Liang, Hermann Brunner, On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations, BIT Numerical Mathematics, 2016, 56: 1339-1367.

12. Hui Liang, Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays,Applied Mathematics and Computation, 2015, 264: 160-178.

13. Hui Liang, Mingzhu Liu, Zhanwen Yang, Stability analysis of Runge-Kutta methods for systems u'(t)=Lu(t)+Mu([t]), Applied Mathematics and Computation, 2014, 228: 336-348.

14. Zuhua Zhang, Hui Liang, Collocation methods for impulsive differential equations, Applied Mathematics and Computation, 2014, 228: 463-476.

15. Hui Liang, Hermann Brunner, Integral-algebraic equations: theory of collocation methods I, SIAM Journal on Numerical Analysis, 2013, 51: 2238-2259.

16. Hui Liang, Hermann Brunner, Discrete superconvergence of collocation solutions for first-kind Volterra integral equations, Journal of Integral Equations and Applications, 2012, 3(24): 359-391.

17. Hui Liang, Hermann Brunner, Collocation methods for differential equations with piecewise linear delays, Communications on Pure and Applied Analysis, 2012, 5(11): 1839-1857.

18. Hui Liang, Minghui Song, Mingzhu Liu, Stability of the analytic and numerical solutions for impulsive differential equations, Applied Numerical Mathematics, 2011, 61(11): 1103-1113.

19. Hui Liang, Mingzhu Liu, Minghui Song, Extinction and permanence of Euler methods in the numerical solution of a two-prey one-predator system with impulsive effect, International Journal of Computer Mathematics, 2011, 88: 1305-1325.

20. Hermann Brunner, Hui Liang, Stability of collocation methods for delay differential equations with vanishing delays, BIT Numerical Mathematics, 2010, 50: 693-711.

21. Hui Liang, Mingzhu Liu, Wanjin Lv, Stability of θ-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments, Applied Mathematics Letters, 2010, 23: 198-206.

22. Hui Liang, Dongyang Shi, Wanjin Lv, Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument, Applied Mathematics and Computation, 2010, 217(2): 854-860.

23. Dongyang Shi, Hui Liang, Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes, Applied Mathematics and Computation, 2009, 212: 257-269.

24. Mingzhu Liu, Hui Liang, Zhanwen Yang, Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations, Applied Mathematics and Computation, 2007, 192(2): 346-357.

25. Dongyang Shi, Hui Liang, Superconvergence analysis of Wilson’s element on anisotropic meshes, Applied Mathematics and Mechanics, 2007, 28(1): 119-125.

26. Dongyang Shi, Hui Liang, Caixia Wang, Superconvergence analysis of a nonconforming triangular element on anisotropic meshes, Journal of Systems Science and Complexity, 2007, 20: 536-544.

MONOGRAPH

1. Hui Liang, Research on Numerical Methods of Some Classes of Differential Equations, Harbin Institute of Technology Press, 2015.
CONFERENCE PAPERS/TALKS
 
1. Invited speaker, School of Mathematics and Statistics, Changsha University of Science & Technology, Changsha, May 11, 2017.
Topic: Integral-algebraic equations: theory of collocation methods.
2. Invited speaker, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, May 8, 2017
Topic: Integral-algebraic equations: theory of collocation methods.
3. Colloquium speaker, Colloquium of Computational Mathematics for Young Scholar, Beijing Institute for Science and Engineering Computing, Beijing, Oct. 28-29, 2016.
Topic: Integral-algebraic equations: theory of collocation methods.
4. Invited speaker, Academy of Mathematics and Systems Science , Chinese Academy of Sciences, Beijing, May 18, 2016.
Topic: Integral-algebraic equations: theory of collocation methods.
5. Invited speaker, Beijing Computational Science Research Center, Beijing, May 12, 2016.
Topic: Integral-algebraic equations: theory of collocation methods.
6. Invited speaker, Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, Mar. 31, 2015.
Topic: Integral-algebraic equations: theory of collocation methods I.
7. Invited speaker, Mathematics School & Institute of Jilin University, Changchun, Oct. 28, 2011.
Topic: Stability of collocation methods for delay differential equations with vanishing delays.
8. The 25th International Domain Decomposition Conference (DD25), St. John’s Jul. 23-27, 2018.
Topic: Theory and collocation solvers for Integral-algebraic equations.
9. International Workshop on Numerical Analysis of Differential and Integral Equations, Harbin, Aug. 20-23, 2017. 08.
Topic: Some recent work on theory of collocation methods for integral-algebraic equations
10. The 15th Academic Conference on Numerical Methods of Differential Equations and the 12th Conference on Simulation Algorithm, Haikou, Aug. 15-18, 2017.
Topic: On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations.
11. 20th IMACS World Congress, Xiamen, Dec. 10-14, 2016.
Topic: Integral-algebraic equations: theory of collocation methods.
12. The 14th Annual Conference of the Mathematical Society of Heilongjiang Province, Qiqihaer, Aug. 14-16, 2016.
Topic: Integral-algebraic equations: theory of collocation methods.
13. The 11th Academic Conference on Numerical Methods of Differential Equations and the 11th Conference on Simulation Algorithm, Harbin, Jul. 13-16, 2015.
Topic: Integral-algebraic equations: theory of collocation methods I.
14. The 12th Annual Conference of the Mathematical Society of Heilongjiang Province, Jiamusi, Aug. 4-6, 2012.
Topic: Stability of collocation methods for delay differential equations with vanishing delays.
15. SCPDE11 The 4th. Intl. Conference on Scientific Computing and Partial Differential Equations, Hong Kong,Dec. 4-9, 2011.
Topic: Stability of collocation methods for delay differential equations with vanishing delays.
16. The Annual Conference of Computational Mathematics of Heilongjiang Province and Workshop of Computational Mathematics of Harbin, Harbin, Dec. 19, 2009.
Topic: Numerical analysis of a partial differential equation with piecewise constant argument.
17. The 10th Annual Conference of the Mathematical Society of Heilongjiang Province, Mudanjiang, Jul. 25-27, 2008.
Topic: Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations.
TEACHING/SUPERVISING EXPERIENCE
Some of the courses taught in Heilongjiang University before 2015: [1] Undergraduate Courses:
Ordinary Differential Equations, Equations of Mathematical Physics, Numerical Solutions of Differential Equations, Introduction to Computational Methods, Professional Guide, Career Planning, About the Scientific Computing
Graduate Courses:
Linear Multistep Methods and Runge-Kutta Methods, Collocation Methods of Volterra integral equations, Numerical Methods of Functional Differential Equations, Selected Reading of Articles
Updated:2019-03