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Lanxiang Xing

3 accepted papers

2025

Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

ICML 2025poster

Although deep models have been widely explored in solving partial differential equations (PDEs), previous works are primarily limited to data only with up to tens of thousands of mesh points, far from the million-point scale required by industrial simulations that involve complex geometries. In the…

Cited by 1SourcePDFScholar
2024

DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction

NeurIPS 2024poster

Accurately predicting the future fluid is vital to extensive areas such as meteorology, oceanology, and aerodynamics. However, since the fluid is usually observed from the Eulerian perspective, its moving and intricate dynamics are seriously obscured and confounded in static grids, bringing thorny c…

2024

HelmFluid: Learning Helmholtz Dynamics for Interpretable Fluid Prediction

ICML 2024poster

Fluid prediction is a long-standing challenge due to the intrinsic high-dimensional non-linear dynamics. Previous methods usually utilize the non-linear modeling capability of deep models to directly estimate velocity fields for future prediction. However, skipping over inherent physical properties…