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) 7362100 x 77743
Fax: (416) 7365757
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), Energypreserving local meshrefined
splitting FDTD schemes for two dimensional Maxwell's equations,
J. Comput. Phys., 425, 109896.
 S. Sriskandarajah, D. Liang, H.M. Zhu, (2021), Using
the ECSFDTD Scheme to Approximate Eddy
Currents Induced by ZGradient Coils,
IEEE Trans. Antennas Propagat., DOI: 10.1109/TAP.2020.3048550.
 B. Hou, D. Liang, (2020), Energypreserving time highorder
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, 127.
 K. Fu and D. Liang, (2019), A MassConservative
Temporal Second Order and Spatial Fourth Order
Characteristic FV Method for Atmospheric
Pollution Advection Diffusion Problems,
SIAM J. Sci. Comput., 41, B1178B1210.

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, 94111.

K. Fu, D. Liang, (2017), The Time Second Order Mass Conservative
Characteristic FDM for AdvectionDiffusion Equations in High Dimensions,
J. Sci. Comput., 73, 26  49.

Z. Zhou, D. Liang, (2017), The masspreserving and modifiedupwind
splitting DDM scheme for timedependent convectiondiffusion equations,
J. Comput. Appl. Math. , 317,
247  273.

D. Liang, K. Fu and W. Wang, (2016), Modelling multicomponent
aerosol transport problems by the efficient splitting
characteristic method, Atmos. Environ.,
144, 297314.

K. Fu and D. Liang, (2016), The conservative characteristic FD
methods for atmospheric aerosol transport problems, J. Comput.
Phys.,
305, 494520.

D. Liang and C. Du, (2014), The Efficient SDDM Scheme
and its Analysis for Solving Parabolic Equations,
J. Comput. Phys.,
272, 4669.

D. Liang and Q. Yuan, (2013), The spatial fourthorder
energyconserved SFDTD scheme for Maxwell's equations,
J. Comput. Phys., 243, 344364.
 D. Liang, P. Weng and J. Wu,
(2012),
Traveling Wave
Solutions in A Delayed PredatorPrey Diffusion PDE System:
PointtoPeriodic and PointtoPoint Waves,
IMA J. Appl. Math.,
77, 516545.
 C. Du and D. Liang, (2010), An Efficient SDDM
Iterative Approach for Compressible Contamination Fluid Flows in Porous
Media, J. Comput.
Phys., 229, 45014521.
 W. Chen, X. Li and D. Liang, (2010),
Energyconserved Splitting Finite Difference Time Domain Methods for
Maxwell's Equations in Three Dimensions, SIAM J. Numer. Anal.,
48, 15301554.
 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, 13211330.

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, 338354.
 D. Liang, Q. Guo and S. Gong, (2008), A New Splitting Wavelet
Method for
Solving
the General Aerosol Dynamics Equation, J. Aerosol Sci.,
39, 467487.
 W. Chen, X. Li and D. Liang, (2008), EnergyConserved Splitting FDTD
Methods for Maxwell's Equations,
Numerische Mathematik, 108, 445485.
 D. Liang, C. Du and H. Wang, (2007), A Fractional
Step ELLAM Approach to
HighDimensional ConvectionDiffusion Problems with Forward
Particle Tracking,
J. Comput. Phys., 221, 198225.

D. Liang and W. Zhao, (2006), An Optimal Weighted Upwinding Covolume
Method on Nonstandard Grids for ConvectionDiffusion Problems in 2D ,
Int. J. Numer. Methods Engng., 67, 553577.
 D. Liang and J. Wu,
(2003), Travelling Waves and Numerical Approximations in a Reaction Advection
Diffusion Equation with Nonlocal Delayed Effects,
J.
Nonlinear Sci., 13, 289310.
 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 EulerianLagrangian
Localized Adjoint Method and Mixed Finite Element Methods,
SIAM J. Sci. Comput., 22, 561581.

H. Wang, D. Liang, R.E. Ewing, S.L. Lyons and G. Qin,
(2000), An ELLAMMFEM Solution
Technique for Compressible Fluid Flow in Porous
Media with Point Sources and Sinks,
J. Comput. Phys., 159, 344376.
 D. Liang and B. Zhang, (1999), A Finite Element Method for
a Unidimensional SinglePhase
Nonlinear Free Boundary Problem in Groundwater Flow,
IMA J. Numer. Anal., 19, 563579.
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