Welcome to Dong Liang's homepage!
Dong Liang
Professor
Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario, Canada M3J 1P3
Office: 225 Petrie Science Building
Tel: (416) 736-2100 x 77743
Fax: (416) 736-5757
Email: dliang@yorku.ca
Course Information
Research Interests
- Numerical Analysis
& Scientific Computing
- Computational Fluid Dynamics & Porous Media Flow
- Environmental Computation & Energy Simulation
- Computational Electromagnetics
& Nonlinear Wave Propogation
Editorial Members
Recent Academic Activites
-
2019 CMS Winter Meeting - Canadian Mathematical Society
,
December 6 - 9, 2019,
at Toronto
-
The V AMMCS International Conference
(AMMCS2019)
,
August 18 - 23, 2019,
at Waterloo
-
The 5th International Conference on
Water Resource and Environment (WRE 2019)
,
July 16 - 19, 2019,
Macao
-
International Conference on Mathematical Modeling and Numerical Methods
(ICMMNM 2019)
,
May 30 - June 2, 2019,
at Qingdao, China
-
The 11th International Conference on Scientific Computing and Applications
(ICSCA 2019)
,
May 27 - 30, 2019,
at Xiamen, China
-
Symposium on Advanced Numerical Methods and Applications in Science and Engineering
,
January 22, 2019,
York University
-
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
(AMMCS2017)
,
Aug 20 - 25, 2017,
at Waterloo
-
International Workshop
on Computational Mathematics and
Scientific Computing (IWCMSC2017)
,
June 28 - July 02, 2017,
Qingdao, China
-
The Third
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
(MAMA 2016)
,
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
of Singapore,
Singapore
-
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 (
more
)
-
J. Xie, D. Liang, Z. Zhang, (2021), Energy-preserving local mesh-refined
splitting FDTD schemes for two dimensional Maxwell's equations,
J. Comput. Phys., 425, 109896.
- S. Sriskandarajah, D. Liang, H.M. Zhu, (2021), Using
the EC-S-FDTD Scheme to Approximate Eddy
Currents Induced by Z-Gradient Coils,
IEEE Trans. Antennas Propagat., DOI: 10.1109/TAP.2020.3048550.
- B. Hou, D. Liang, (2020), Energy-preserving time high-order
AVF compact finite difference schemes for nonlinear wave equations
with variable coefficients, J. Comput. Phys.,
421, 109738.
-
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, 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,
247 - 273.
-
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.
Phys.,
305, 494-520.
-
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,
(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.
- 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.,
48, 1530-1554.
- 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
Solving
the General Aerosol Dynamics Equation, J. Aerosol Sci.,
39, 467-487.
- 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
Particle Tracking,
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., 67, 553-577.
- 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.
- 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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