Ngan Le

Dr. Ngan Le is a Senior Lecturer in the School of Mathematics at Monash University, specializing in numerical analysis and stochastic partial differential equations. Her research focuses on theoretical and numerical advances in magnetic problems, anomalous sub-diffusion, and stochastic modeling. She has led or contributed to multiple research projects funded by the Australian Research Council, including work on mathematical models for magnetic devices and porous media systems. Dr. Le has published extensively in top-tier journals, with recent work addressing stochastic Stokes systems, Landau-Lifshitz equations, and fractional Fokker-Planck models. She is actively involved in supervising PhD students and collaborates internationally on topics spanning computational fluid dynamics and materials science.

• Education: Details not explicitly provided in the text.

Her research interests span numerical methods for stochastic PDEs, finite element approximations, and nonlinear porous media equations. Key contributions include the development of robust numerical schemes for problems with variable-order fractional derivatives and multi-dimensional stochastic noise. Dr. Le's work emphasizes both theoretical rigor and practical applications in areas like magnetic materials and fluid dynamics.

Recent publications highlight advancements in stochastic modeling of magnetic systems and diffusion processes, with a focus on long-term stability and error analysis. She has pioneered methods for the stochastic Landau-Lifshitz-Bloch equation and the Fokker-Planck equation with general forcing terms.

• Grants/Projects:
  • Mathematics for future magnetic devices (2024-2027)
  • A new numerical analysis for partial differential equations with noise (2023-2026)
  • Mathematics for breaking limits of speed and density in magnetic memories (2020-2023)
  • HDTHM: Mathematical and numerical methods for thermo-hydro-mechanical models in porous media (2019-2022)

Dr. Le collaborates with leading institutions globally, including the Universities of Bremen, Tübingen, and Montpellier. Her research integrates computational techniques with stochastic analysis to address challenges in materials science and fluid dynamics.