Dr Ngan Le

Research Overview

Theoretical and numerical analysis of stochastic partial differential equations, anomalous sub-diffusion equations.

Selected Publications

[1] Brzeźniak, Zdzislaw ; Goldys, Beniamin ; Le, Kim Ngan. "Existence of a unique solution and invariant measures for the stochastic Landau–Lifshitz–Bloch equation". In: Journal of Differential Equations. 2020 ; Vol. 269, No. 11. pp. 9471-9507. https://doi.org/10.1016/j.jde.2020.06.061

[2] Droniou, Jérôme ; Le, Kim Ngan. "The gradient discretisation method for slow and fast diffusion porous media equations". In: SIAM Journal on Numerical Analysis. 2020 ; Vol. 58, No. 3. pp. 1965-1992. https://doi.org/10.1137/19M1260165

[3] Huang, Can ; Le, Kim Ngan ; Stynes, Martin. "A new analysis of a numerical method for the time-fractional Fokker-Planck equation with general forcing". In: IMA Journal of Numerical Analysis. 2020 ; Vol. 40, No. 2. pp. 1217-1240. https://doi.org/10.1093/imanum/drz006

[4] Cheng, Hanz Martin ; Droniou, Jérôme ; Le, Kim Ngan. "Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media". In: Numerische Mathematik. 2019 ; Vol. 141, No. 2. pp. 353–397. https://doi.org/10.1007/s00211-018-1002-2

[5] Le, Kim Ngan ; McLean, William ; Stynes, Martin. "Existence, uniqueness and regularity of the solution of the time-fractional Fokker–Planck equation with general forcing". In: Communications on Pure and Applied Analysis. 2019 ; Vol. 18, No. 5. pp. 2765-2787. https://doi.org/10.3934/cpaa.2019124