Selected Publications: (click here for more publications)

  1. 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.
  2. 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., 69, 4715-4726
  3. 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.
  4. D. Liang, Z. Zhou, (2020), The conservative splitting domain decomposition method for multicomponenet contamination flows in porous mediaJ. Comput. Phys., 400, 108974, 1-27.
  5. K. Fu, D. Liang, (2019), A Mass-Conservative Temporal Second Order and Spatial Fourth Order Characteristic FV Method for Atmospheric Pollution Advection Diffusion ProblemsSIAM J. Sci. Comput., 41, B1178-B1210.
  6. W. Li, D. Liang, (2019), The Energy Conservative Splitting FDTD scheme and its Energy Identities for Metamaterial Electromagnetic Lorentz SystemComput. Phys. Commun., 239, 94-111.
  7. K. Fu, D. Liang, (2017), The Time Second Order Mass Conservative Characteristic FDM for Advection-Diffusion Equations in High DimensionsJ. Sci. Comput., 73, 26-49.
  8. Z. Zhou, D. Liang, (2017), The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equationsJ. Comput. Appl. Math., 317, 247-273.
  9. D. Liang, K. Fu, W. Wang, (2016), Modelling multi-component aerosol transport problems by the efficient splitting characteristic methodAtmos. Environ., 144, 297-314.
  10. K. Fu, D. Liang, (2016), The conservative characteristic FD methods for atmospheric aerosol transport problemsJ. Comput. Phys., 305, 494-520.
  11. D. Liang, C. Du, (2014), The Efficient S-DDM Scheme and its Analysis for Solving Parabolic EquationsJ. Comput. Phys., 272, 46-69.
  12. D. Liang, Q. Yuan, (2013), The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell's equationsJ. Comput. Phys., 243, 344-364.
  13. D. Liang, P. Weng, J. Wu, (2012), Traveling Wave Solutions in A Delayed Predator-Prey Diffusion PDE System: Point-to-Periodic and Point-to-Point WavesIMA J. Appl. Math., 77, 516-545.
  14. C. Du, D. Liang, (2010), An Efficient S-DDM Iterative Approach for Compressible Contamination Fluid Flows in Porous MediaJ. Comput. Phys., 229, 4501-4521.
  15. W. Chen, X. Li, D. Liang, (2010), Energy-conserved Splitting Finite Difference Time Domain Methods for Maxwell's Equations in Three DimensionsSIAM J. Numer. Anal., 48, 1530-1554.
  16. Y. Cheng, D. Liang, W. Wang, S. Gong, M. Xue, (2010), An Efficient Approach of Aerosol Thermodynamic Equilibrium Predictions by the HDMR MethodAtmos. Environ., 44, 1321-1330.
  17. D. Liang, W. Wang, Y. Cheng, (2009), An Efficient Second Order Characteristic Finite Element Method for Nonlinear Aerosol Dynamic EquationsInt. J. Numer. Methods Engng., 80, 338-354.
  18. D. Liang, Q. Guo, S. Gong, (2008), A New Splitting Wavelet Method for Solving the General Aerosol Dynamics EquationJ. Aerosol Sci., 39, 467-487.
  19. W. Chen, X. Li, D. Liang, (2008), Energy-Conserved Splitting FDTD Methods for Maxwell's EquationsNumerische Mathematik, 108, 445-485.
  20. D. Liang, C. Du, H. Wang, (2007), A Fractional Step ELLAM Approach to High-Dimensional Convection-Diffusion Problems with Forward Particle TrackingJ. Comput. Phys., 221, 198-225.
  21. D. Liang, 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.
  22. D. Liang, J. Wu, (2003), Travelling Waves and Numerical Approximations in a Reaction Advection Diffusion Equation with Non-local Delayed EffectsJ. Nonlinear Sci., 13, 289-310.
  23. H. Wang, D. Liang, R.E. Ewing, S.L. Lyons, 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 MethodsSIAM J. Sci. Comput., 22, 561-581.
  24. H. Wang, D. Liang, R.E. Ewing, S.L. Lyons, G. Qin, (2000), An ELLAM-MFEM Solution Technique for Compressible Fluid Flow in Porous Media with Point Sources and SinksJ. Comput. Phys., 159, 344-376.
  25. D. Liang, B. Zhang, (1999), A Finite Element Method for a Unidimensional Single-Phase Nonlinear Free Boundary Problem in Groundwater FlowIMA J. Numer. Anal., 19, 563-579.