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/EECS3122, Numerical Methods II,
MWF, 10:30a.m.-11:30a.m., BC 215
MATH3241/EECS3121, Numerical Methods I,
Tuesdays and Thursdays, 1:00p.m.-2:30p.m., WC 118
MATH6651/PHYS5070A/MATH4141 (Advanced Numerical Methods)
Tuesdays and Thursdays,
2:30p.m. - 4:00p.m., DB 0007.
Tutorials of MATH1300 Section N,
- Numerical Analysis
& Scientific Computing
- Computational Fluid Dynamics & Porous Media Flow
- Environmental Computation & Energy Simulation
- Computational Electromagnetics
& Nonlinear Wave Propogation
Recent Academic Activites
2019 CMS Winter Meeting - Canadian Mathematical Society
December 6 - 9, 2019,
The V AMMCS International Conference
August 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 Advanced Numerical Methods and Applications in Science and Engineering
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 and
Z. Zhou, (2020), The conservative splitting domain decomposition
method for multicomponenet contamination flows in porous media,
J. Comput. Phys., 400, 108974, 1-27.
- K. Fu and D. Liang, (2019), A Mass-Conservative
Temporal Second Order and Spatial Fourth Order
Characteristic FV Method for Atmospheric
Pollution Advection Diffusion Problems,
SIAM J. Sci. Comput., 41, B1178-B1210.
W. Li and D. Liang, (2019), The Energy Conservative Splitting FDTD scheme
and its Energy Identities for Metamaterial Electromagnetic Lorentz
System, Comput. Phys. Commun., 239, 94-111.
K. Fu, D. Liang, (2017), The Time Second Order Mass Conservative
Characteristic FDM for Advection-Diffusion Equations in High Dimensions,
J. Sci. Comput., 73 (2017), 26 - 49.
Z. Zhou, D. Liang, (2017), The mass-preserving and modified-upwind
splitting DDM scheme for time-dependent convection-diffusion equations,
J. Comput. Appl. Math. , 317
(2017), 247 - 273.
D. Liang, K. Fu and W. Wang, (2016), Modelling multi-component
aerosol transport problems by the efficient splitting
characteristic method, Atmos. Environ.,
K. Fu and D. Liang, (2016), The conservative characteristic FD
methods for atmospheric aerosol transport problems, J. Comput.
D. Liang and C. Du, (2014), The Efficient S-DDM Scheme
and its Analysis for Solving Parabolic Equations,
J. Comput. Phys.,
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.,
- 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, Q. Guo and S. Gong, (2008), A New Splitting Wavelet
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 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.
Funding and Awards (
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