Course Information

• MATH3241/EECS3121, Numerical Methods I, Fall 2019/2020 , Tuesdays and Thursdays, 1:00p.m.-2:30p.m., WC 118
  
• MATH6651/PHYS5070A/MATH4141 (Advanced Numerical Methods) , Fall 2019/2020 , Tuesdays and Thursdays, 2:30p.m. - 4:00p.m., DB 0007.
  

Research Interests

• Numerical Analysis & Scientific Computing
  
• Computational Fluid Dynamics & Porous Media Flow
  
• Environmental Computation & Energy Simulation
  
• Computational Electromagnetics & Nonlinear wave propogation
  

Editorial Members

• International Journal of Numerical Analysis & Modeling
• Journal of Advances in Mathematical Analysis and Applications

Recent Academic Activity

1. 2019 CMS Winter Meeting - Canadian Mathematical Society , December 6 - 9, 2019, at Toronto
   
2. The V AMMCS International Conference (AMMCS2019) , August 18 - 23, 2019, at Waterloo
   
3. The 5th International Conference on Water Resource and Environment (WRE 2019) , July 16 - 19, 2019, Macao
   
4. International Conference on Mathematical Modeling and Numerical Methods (ICMMNM 2019) , May 30 - June 2, 2019, at Qingdao, China
   
5. The 11th International Conference on Scientific Computing and Applications (ICSCA 2019) , May 27 - 30, 2019, at Xiamen, China
   
6. Symposium on ANMASE , January 22, 2019, York University
   
7. ICERM: Computational Aspects of Time Dependent Electromagnetic Wave Problems in Complex Materials , June 25 - 29, 2018, at Brown University, USA
   
8. Workshop on High Accuracy and Conservative Schemes for PDEs , June 9 - 11, 2018, at Qingdao, China
   
9. The IV AMMCS International Conference (AMMCS2017) , Aug 20 - 25, 2017, at Waterloo
   
10. International Workshop on Computational Mathematics and Scientific Computing (IWCMSC2017) , June 28 - July 02, 2017, Qingdao, China
    
11. The Third International Conference on Engineering and Computational Mathematics (ECM 2017) , May 31 - June 2, 2017, at Hong Kong
    
12. BIRS workshop: Modelling and Simulation: Practical Engineering Applications, Sept 1 - 3, 2017, at Banff.
13. The Tenth International Conference on Scientific Computing and Applications (ICSCA2016) , June 6 - 10, 2016, at the Fields Institute, Toronto
    
14. The International Workshop on Mathematical Analysis of Metamaterials and Applications (MAMA 2016) , Dec 5 - 10, 2016, at Math Sci Center of Tsinghua Univ., Sanya, China
    
15. The annual confernce of CSIAM 2016 , August 12 - 14, 2016, Xiangtan, Hunan, China
    
16. The Satellite Meeting of ICIAM2015: "Recent Developments in Computational Mathematics and Applications", August 3 - 8, 2015, Jing Gang Shan Univ, Jiangxi, China
    
17. High Performance and Parallel Computing Program , January 1 - March 31, 2015, National University of Singapore, Singapore
    
18. 8th International Conference on Nonlinear PDEs & Their Numerical Analysis, May 24 - 28, 2015, Hangzhuo, China
19. Int'l Conf on Computational Mathematics and Sciences, June 6 - 8, 2015, Xian, China
    
20. ADVCOMP 2015: The Ninth International Conference on Advanced Engineering Computing and Applications in Sciences, July 19 - 24, 2015, Nice, France
    

Selected Publications ( more )

1. D. Liang and Z. Zhou, (2019), The conservative splitting domain decomposition method for multicomponenet contamination flows in porous media, J. Comput. Phys., Vol 400, 108974, 1-27, published online.
   
2. W. Li and D. Liang, (2019), The Energy Conservative Splitting FDTD scheme and its Energy Identities for Metamaterial Electromagnetic Lorentz System, Comput. Phys. Comm., 239, 94-111.
   
3. K. Fu and D. Liang, (2017), The Time Second Order Mass Conservative Characteristic FDM for Advection-Diffusion Equations in High Dimensions, J. Sci. Comput., 73, 26-49.
   
4. D. Liang, K. Fu and W. Wang, (2016), Modelling multi-component aerosol transport problems by the efficient splitting characteristic method, Atmos. Environ., 144, 297-314.
   
5. K. Fu and D. Liang, (2016), The conservative characteristic FD methods for atmospheric aerosol transport problems, J. Comput. Phys., 305, 494-520.
   
6. W. Li and D. Liang, (2016), Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell's equations in negative index metamaterials, J. Sci. Comput., 69, 696-735.
   
7. D. Liang and C. Du, (2014), The Efficient S-DDM Scheme and its Analysis for Solving Parabolic Equations, J. Comput. Phys., 272, 46-69.
   
8. D. Liang and Q. Yuan, (2013), The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell's equations, J. Comput. Phys., 243, 344-364.
   
9. D. Liang, P. Weng and J. Wu, (2012), Traveling Wave Solutions in A Delayed Predator-Prey Diffusion PDE System: Point-to-Periodic and Point-to-Point Waves, IMA J. Appl. Math., 77, 516-545.
   
10. C. Du and D. Liang, (2010), An Efficient S-DDM Iterative Approach for Compressible Contamination Fluid Flows in Porous Media, J. Comput. Phys., 229, 4501-4521.
    
11. W. Chen, X. Li and D. Liang, (2010), Energy-conserved Splitting Finite Difference Time Domain Methods for Maxwell's Equations in Three Dimensions, SIAM J. Numer. Anal., 48, 1530-1554.
    
12. Y. Cheng, D. Liang, W. Wang, S. Gong and M. Xue, (2010), An Efficient Approach of Aerosol Thermodynamic Equilibrium Predictions by the HDMR Method, Atmos. Environ., 44, 1321-1330.
    
13. D. Liang, W. Wang and Y. Cheng, (2009), An Efficient Second Order Characteristic Finite Element Method for Nonlinear Aerosol Dynamic Equations, Int. J. Numer. Methods Engng., 80, 338-354.
    
14. D. Liang, Q. Guo and S. Gong, (2008), A New Splitting Wavelet Method for Solving the General Aerosol Dynamics Equation, J. Aerosol Sci., 39, 467-487.
    
15. W. Chen, X. Li and D. Liang, (2008), Energy-Conserved Splitting FDTD Methods for Maxwell's Equations, Numerische Mathematik, 108, 445-485.
    
16. D. Liang, C. Du and H. Wang, (2007), A Fractional Step ELLAM Approach to High-Dimensional Convection-Diffusion Problems with Forward Particle Tracking, J. Comput. Phys., 221, 198-225.
    
17. D. Liang and W. Zhao, (2006), An Optimal Weighted Upwinding Covolume Method on Nonstandard Grids for Convection-Diffusion Problems in 2D, Int. J. Numer. Methods Engng., 67, 553-577.
    
18. D. Liang and J. Wu, (2003), Travelling Waves and Numerical Approximations in a Reaction Advection Diffusion Equation with Non-local Delayed Effects, J. Nonlinear Sci., 13, 289-310.
    
19. H. Wang, D. Liang, R.E. Ewing, S.L. Lyons and G. Qin, (2000), An Approximation to Miscible Displacement in Porous Media with Point Sources and Sinks by an Eulerian-Lagrangian Localized Adjoint Method and Mixed Finite Element Methods, SIAM J. Sci. Comput., 22, 561-581.
    
20. H. Wang, D. Liang, R.E. Ewing, S.L. Lyons and G. Qin, (2000), An ELLAM-MFEM Solution Technique for Compressible Fluid Flow in Porous Media with Point Sources and Sinks, J. Comput. Phys., 159, 344-376.
    
21. D. Liang and B. Zhang, (1999), A Finite Element Method for a Unidimensional Single-Phase Nonlinear Free Boundary Problem in Groundwater Flow, IMA J. Numer. Anal., 19, 563-579.