Dong Liang

Office:  225 Petrie Science Building
Tel:    (416) 736-2100 x 77743 
Fax:    (416) 736-5757
Email:   dliang@yorku.ca

• Course Information

  • MATH3242, Numerical Methods II , Winter 2016/2017, MWF, 10:30a.m.-11:30a.m., CLH 110
    

  • MATH3241, Numerical Methods I , Fall 2016/2017, Tuesdays and Thursdays, 10:00a.m.-11:30a.m., BC 215
    
  • MATH6651/PHYS5070A/MATH4141 (Advanced Numerical Methods) , Fall 2016/2017, Tuesdays and Thursdays, 2:30p.m. - 4:00p.m., VH3006.
    

• Research Interests

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

• Editorial Members

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

• Recent Academic Activity

  1. The IV AMMCS International Conference (AMMCS2017) , Aug 20 - 25, 2017, at Waterloo, Ontario, Canada
     
  2. International Workshop on Computational Mathematics and Scientific Computing (IWCMSC2017) , June 28 - July 02, 2017, Qingdao, China
     
  3. The Third International Conference on Engineering and Computational Mathematics (ECM 2017) , May 31 - June 2, 2017, at Hong Kong
     
  4. The Tenth International Conference on Scientific Computing and Applications (ICSCA2016) , June 6 - 10, 2016, at the Fields Institute, Toronto, Canada
     
  5. 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
     
  6. The annual confernce of CSIAM 2016 , August 12 - 14, 2016, Xiangtan, Hunan, China
     
  7. The Satellite Meeting of ICIAM2015: "Recent Developments in Computational Mathematics and Applications", August 3 - 8, 2015, Jing Gang Shan Univ, Jiangxi, China
     
  8. High Performance and Parallel Computing Program , January 1 - March 31, 2015, National University of Singapore, Singapore
     
  9. 8th International Conference on Nonlinear PDEs & Their Numerical Analysis, May 24 - 28, 2015, Hangzhuo, China
  10. Int'l Conf on Computational Mathematics and Sciences, June 6 - 8, 2015, Xian, China
      
  11. ADVCOMP 2015: The Ninth International Conference on Advanced Engineering Computing and Applications in Sciences, July 19 - 24, 2015, Nice, France
      

• Selected Publications ( more )

  1. K. Fu and D. Liang, (2016), The conservative characteristic FD methods for atmospheric aerosol transport problems, J. Comput. Phys., 305, 494 - 520.
     
  2. 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.
     
  3. 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.
     
  4. D. Liang and C. Du, (2014), The Efficient S-DDM Scheme and its Analysis for Solving Parabolic Equations, J. Comput. Phys., 272, 46 - 69.
     
  5. 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.
     
  6. 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.
     
  7. 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.
     
  8. 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.
     
  9. 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.
     
  10. 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.
      
  11. 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.
      
  12. W. Chen, X. Li and D. Liang, (2008), Energy-Conserved Splitting FDTD Methods for Maxwell's Equations, Numerische Mathematik, 108, 445-485.
      
  13. 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.
      
  14. 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.
      
  15. 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.
      
  16. 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.
      
  17. 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.
      
  18. 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.
      
  19. D. Liang and W. Zhao, (1997), The High-Order Upwind Scheme for the Convection- Diffusion Problem, Computer Methods Appl. Mech. Engrg., 147, 105-115.