most citedGenerative downscaling of PDE solvers with physics-guided diffusion models

2 citations · 2 across the 4 of their papers we have counts for

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math.NA2025

Improving Data Fidelity via Diffusion Model-based Correction and Super-Resolution

Wuzhe Xu, Yulong Lu, Sifan Wang +1

We propose a unified diffusion model-based correction and super-resolution method to enhance the fidelity and resolution of diverse low-quality data through a two-step pipeline. Fi…

math.NA2025

Diffusion-based Models for Unpaired Super-resolution in Fluid Dynamics

Wuzhe Xu, Yulong Lu, Lian Shen +2

High-fidelity, high-resolution numerical simulations are crucial for studying complex multiscale phenomena in fluid dynamics, such as turbulent flows and ocean waves. However, dire…

math.NA2024★ 2 cited

Generative downscaling of PDE solvers with physics-guided diffusion models

Yulong Lu, Wuzhe Xu

Solving partial differential equations (PDEs) on fine spatio-temporal scales for high-fidelity solutions is critical for numerous scientific breakthroughs. Yet, this process can be…