3 papers
cs.LG2025
GeoMaNO: Geometric Mamba Neural Operator for Partial Differential Equations
Xi Han, Jingwei Zhang, Dimitris Samaras +2
The neural operator (NO) framework has emerged as a powerful tool for solving partial differential equations (PDEs). Recent NOs are dominated by the Transformer architecture, which…
eess.IV2024
DVasMesh: Deep Structured Mesh Reconstruction from Vascular Images for Dynamics Modeling of Vessels
Dengqiang Jia, Xinnian Yang, Xiaosong Xiong +6
Vessel dynamics simulation is vital in studying the relationship between geometry and vascular disease progression. Reliable dynamics simulation relies on high-quality vascular mes…
math.NA2024
UGrid: An Efficient-And-Rigorous Neural Multigrid Solver for Linear PDEs
Xi Han, Fei Hou, Hong Qin
Numerical solvers of Partial Differential Equations (PDEs) are of fundamental significance to science and engineering. To date, the historical reliance on legacy techniques has cir…