Welcome to Dong Liang's homepage!
Department of Mathematics and Statistics
4700 Keele Street
Toronto, Ontario, Canada M3J 1P3
Office: 225 Petrie Science Building
Tel: (416) 736-2100 x 77743
Fax: (416) 736-5757
MATH3242/EESC3122, Numerical Methods II,
MWF, 10:30a.m.-11:30a.m., PSE 321
MATH3241/EECS3121, Numerical Methods I,
Tuesdays and Thursdays, 1:00p.m.-2:30p.m., ACE 002
MATH6651/PHYS5070A/MATH4141 (Advanced Numerical Methods)
Tuesdays and Thursdays,
2:30p.m. - 4:00p.m., HNE 001.
- Numerical Analysis
& Scientific Computing
- Computational Fluid Dynamics & Porous Media Flow
- Environmental Computation & Energy Simulation
- Computational Electromagnetics
& Nonlinear wave propogation
Recent Academic Activity
The V AMMCS International Conference
Aug 18 - 23, 2019,
The 5th International Conference on
Water Resource and Environment (WRE 2019)
July 16 - 19, 2019,
International Conference on Mathematical Modeling and Numerical Methods
May 30 - June 2, 2019,
at Qingdao, China
The 11th International Conference on Scientific Computing and Applications
May 27 - 30, 2019,
at Xiamen, China
Symposium on ANMASE
January 22, 2019,
ICERM: Computational Aspects of Time Dependent Electromagnetic Wave Problems in Complex Materials
June 25 - 29, 2018,
at Brown University, USA
Workshop on High Accuracy and Conservative Schemes for PDEs
June 9 - 11, 2018,
at Qingdao, China
The IV AMMCS International Conference
Aug 20 - 25, 2017,
on Computational Mathematics and
Scientific Computing (IWCMSC2017)
June 28 - July 02, 2017,
International Conference on Engineering and Computational Mathematics
(ECM 2017) , May 31 - June 2, 2017, at Hong Kong
BIRS workshop: Modelling and Simulation: Practical
Engineering Applications, Sept 1 - 3, 2017, at Banff.
The Tenth International Conference
on Scientific Computing and Applications (ICSCA2016)
June 6 - 10, 2016,
at the Fields Institute, Toronto
The International Workshop
on Mathematical Analysis of Metamaterials and Applications
Dec 5 - 10, 2016,
at Math Sci Center of Tsinghua Univ., Sanya, China
The annual confernce of CSIAM 2016
August 12 - 14, 2016,
Xiangtan, Hunan, China
The Satellite Meeting of ICIAM2015: "Recent Developments
in Computational Mathematics and Applications",
August 3 - 8, 2015,
Jing Gang Shan Univ, Jiangxi, China
- High Performance and Parallel Computing Program
, January 1 - March 31, 2015, National University
8th International Conference on Nonlinear PDEs
& Their Numerical Analysis, May 24 - 28, 2015, Hangzhuo, China
Int'l Conf on Computational Mathematics and Sciences,
June 6 - 8, 2015, Xian, China
ADVCOMP 2015: The Ninth International Conference on Advanced Engineering Computing and Applications in Sciences,
July 19 - 24, 2015, Nice, France
Selected Publications (
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.
K. Fu and D. Liang, (2016), The conservative characteristic FD
methods for atmospheric aerosol transport problems, J. Comput.
305, 494 - 520.
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.
D. Liang and C. Du, (2014), The Efficient S-DDM Scheme
and its Analysis for Solving Parabolic Equations,
J. Comput. Phys.,
272, 46 - 69.
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.
- D. Liang, P. Weng and J. Wu,
Solutions in A Delayed Predator-Prey Diffusion PDE System:
Point-to-Periodic and Point-to-Point Waves,
IMA J. Appl. Math.,
77, 516 - 545.
- 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.
- 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.,
- 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.
- 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.
- D. Liang, Q. Guo and S. Gong, (2008), A New Splitting Wavelet Method for
the General Aerosol Dynamics Equation, J. Aerosol Sci.,
- W. Chen, X. Li and D. Liang, (2008), Energy-Conserved Splitting FDTD
Methods for Maxwell's Equations,
Numerische Mathematik, 108, 445-485.
- D. Liang, C. Du and H. Wang, (2007), A Fractional
Step ELLAM Approach to
High-Dimensional Convection-Diffusion Problems with Forward
J. Comput. Phys., 221, 198-225.
- 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.,
- D. Liang and J. Wu,
(2003), Travelling Waves and Numerical Approximations in a Reaction Advection
Diffusion Equation with Non-local Delayed Effects,
Nonlinear Sci., 13, 289-310.
- 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.
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.
- 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.
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