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, 2010September 31, 2011, and she visited HKBU many times. She was a Visiting Scholar of Memorial University of Newfoundland during December 1, 2017November 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 

2019.2dateProfessor, Harbin Institute of Technology, Shenzhen##2015.92018.7Professor, Heilongjiang University##2010.92015.8Associated Professor, Heilongjiang University##2008.72010.8Lecturer, Heilongjiang University##2017.12.12018.11.30Visiting Scholar, Memorial University of Newfoundland##2017.8.12017.8.15Visiting Research Scholar, Hong Kong Baptist University##2016.6.302016.7.29Visiting Research Scholar, Hong Kong Baptist University##2015.3.92015.4.8Visiting Research Scholar, Hong Kong Baptist University##2010.3.12011.9.31Visiting Research Scholar, Hong Kong Baptist University##2009.2.272009.5.26Visiting Research Scholar, Hong Kong Baptist University 

EDUCATION  


RESEARCH & WORK EXPERIENCE  


PROFESSIONAL QUALIFICATION & ACADEMIC SERVICE 



RESEARCH PROJECTS 



RESEARCH ACHIEVEMENT & AWARDS 



PATENT 

PAPER & BOOK PUBLICATIONS  
PAPERS
1. Hui Liang, Hermann Brunner, Collocation methods for integrodifferential algebraic equations with index1, IMA Journal of Numerical Analysis, accepted. 2. Jianfang Gao, Hui Liang, Shufang Ma, Strong convergence of the semiimplicit Euler method for nonlinear stochastic Volterra integral equations with constant delay, Applied Mathematics and Computation, 2019, 384: 385398. 3. Jianfang Gao, Shufang Ma, Hui Liang, Strong convergence of the semiimplicit Euler method for a kind of stochastic Volterra integrodifferential equations, Numerical Mathematics Theory Methods and Applications, 2019, 12(2): 547565. 4. Hui Liang, Martin Stynes, Collocation methods for general RiemannLiouville twopoint boundary value problems, Advances in Computational Mathematics, 2018, online. 5. Hui Liang, Martin Stynes, Collocation methods for general Caputo twopoint boundary value problems, Journal of Scientific Computing, 2018, 76: 390425. 6. Tingting Zhang, Hui Liang, Multistep collocation approximations to solutions of firstkind Voterra integral equations, Applied Numerical Mathematics, 2018, 130: 171183. 7. Hui Liang, Zhanwen Yang, Jianfang Gao, Strong superconvergence of the EulerMaruyama method for linear stochastic Volterra integral equations, Journal of Computational and Applied Mathematics, 2017, 317: 447457. 8. Hui Liang, hpLegendreGauss collocation method for impulsive differential equations, International Journal of Computer Mathematics, 2017, 94: 151172. 9. Hui Liang, Hermann Brunner, Integralalgebraic equations: theory of collocation methods II, SIAM Journal on Numerical Analysis, 2016, 54: 26402663. 10. Ran Zhang, Hui Liang, Hermann Brunner, Analysis of collocation methods for generalized autoconvolution Volterra integral equations, SIAM Journal on Numerical Analysis, 2016, 54: 899920. 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: 13391367. 12. Hui Liang, Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays，Applied Mathematics and Computation, 2015, 264: 160178. 13. Hui Liang, Mingzhu Liu, Zhanwen Yang, Stability analysis of RungeKutta methods for systems u'(t)=Lu(t)+Mu([t]), Applied Mathematics and Computation, 2014, 228: 336348. 14. Zuhua Zhang, Hui Liang, Collocation methods for impulsive differential equations, Applied Mathematics and Computation, 2014, 228: 463476. 15. Hui Liang, Hermann Brunner, Integralalgebraic equations: theory of collocation methods I, SIAM Journal on Numerical Analysis, 2013, 51: 22382259. 16. Hui Liang, Hermann Brunner, Discrete superconvergence of collocation solutions for firstkind Volterra integral equations, Journal of Integral Equations and Applications, 2012, 3(24): 359391. 17. Hui Liang, Hermann Brunner, Collocation methods for differential equations with piecewise linear delays, Communications on Pure and Applied Analysis, 2012, 5(11): 18391857. 18. Hui Liang, Minghui Song, Mingzhu Liu, Stability of the analytic and numerical solutions for impulsive differential equations, Applied Numerical Mathematics, 2011, 61(11): 11031113. 19. Hui Liang, Mingzhu Liu, Minghui Song, Extinction and permanence of Euler methods in the numerical solution of a twoprey onepredator system with impulsive effect, International Journal of Computer Mathematics, 2011, 88: 13051325. 20. Hermann Brunner, Hui Liang, Stability of collocation methods for delay differential equations with vanishing delays, BIT Numerical Mathematics, 2010, 50: 693711. 21. Hui Liang, Mingzhu Liu, Wanjin Lv, Stability of θschemes in the numerical solution of a partial differential equation with piecewise continuous arguments, Applied Mathematics Letters, 2010, 23: 198206. 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): 854860. 23. Dongyang Shi, Hui Liang, Convergence and superconvergence analysis of a new quadratic Hermitetype triangular element on anisotropic meshes, Applied Mathematics and Computation, 2009, 212: 257269. 24. Mingzhu Liu, Hui Liang, Zhanwen Yang, Stability of RungeKutta methods in the numerical solution of linear impulsive differential equations, Applied Mathematics and Computation, 2007, 192(2): 346357. 25. Dongyang Shi, Hui Liang, Superconvergence analysis of Wilson’s element on anisotropic meshes, Applied Mathematics and Mechanics, 2007, 28(1): 119125. 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: 536544. 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: Integralalgebraic equations: theory of collocation methods. 2. Invited speaker, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, May 8, 2017 Topic: Integralalgebraic equations: theory of collocation methods. 3. Colloquium speaker, Colloquium of Computational Mathematics for Young Scholar, Beijing Institute for Science and Engineering Computing, Beijing, Oct. 2829, 2016. Topic: Integralalgebraic equations: theory of collocation methods. 4. Invited speaker, Academy of Mathematics and Systems Science , Chinese Academy of Sciences, Beijing, May 18, 2016. Topic: Integralalgebraic equations: theory of collocation methods. 5. Invited speaker, Beijing Computational Science Research Center, Beijing, May 12, 2016. Topic: Integralalgebraic equations: theory of collocation methods. 6. Invited speaker, Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, Mar. 31, 2015. Topic: Integralalgebraic 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. 2327, 2018. Topic: Theory and collocation solvers for Integralalgebraic equations. 9. International Workshop on Numerical Analysis of Differential and Integral Equations, Harbin, Aug. 2023, 2017. 08. Topic: Some recent work on theory of collocation methods for integralalgebraic equations 10. The 15th Academic Conference on Numerical Methods of Differential Equations and the 12th Conference on Simulation Algorithm, Haikou, Aug. 1518, 2017. Topic: On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations. 11. 20th IMACS World Congress, Xiamen, Dec. 1014, 2016. Topic: Integralalgebraic equations: theory of collocation methods. 12. The 14th Annual Conference of the Mathematical Society of Heilongjiang Province, Qiqihaer, Aug. 1416, 2016. Topic: Integralalgebraic 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. 1316, 2015. Topic: Integralalgebraic equations: theory of collocation methods I. 14. The 12th Annual Conference of the Mathematical Society of Heilongjiang Province, Jiamusi, Aug. 46, 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. 49, 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. 2527, 2008. Topic: Stability of RungeKutta methods in the numerical solution of linear impulsive differential equations. 

TEACHING/SUPERVISING EXPERIENCE 



Updated：201903 