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Huan Lei's research focuses on computational mathematics, particularly on developing numerical methods for learning partial differential equation (PDE) and stochastic differential equation (SDE) models that arise in multi-scale problems. He is interested in designing structure-preserving algorithms that retain essential mathematical properties such as conservation laws, variational structures, and physical constraints. A central aspect of his work is integrating scientific machine learning (SciML) and numerical analysis to construct accurate and physically interpretable PDE and SDE models for multi-scale systems, directly from first-principle descriptions. Conventional approaches often show limitations, and Lei's methodologies aim to address these issues.
Brown University • Providence, RI
Pacific Northwest National Laboratory • Richland, WA
Pacific Northwest National Laboratory • Richland, WA
Department of Psychology