1 code implementation • 6 Mar 2024 • Yanlai Chen, Yajie Ji, Akil Narayan, Zhenli Xu
We introduce the Transformed Generative Pre-Trained Physics-Informed Neural Networks (TGPT-PINN) for accomplishing nonlinear model order reduction (MOR) of transport-dominated partial differential equations in an MOR-integrating PINNs framework.
no code implementations • 4 Oct 2020 • Shi Jin, Lei LI, Zhenli Xu, Yue Zhao
We develop a random batch Ewald (RBE) method for molecular dynamics simulations of particle systems with long-range Coulomb interactions, which achieves an $O(N)$ complexity in each step of simulating the $N$-body systems.
Computational Physics 65C35, 82M37, 65T50
no code implementations • 14 Mar 2020 • Lei Li, Zhenli Xu, Yue Zhao
The cost of the rejection step is $O(1)$ since the interaction used is of short range.
Computational Physics Numerical Analysis Numerical Analysis 82B80, 60H35, 65C05
2 code implementations • 8 May 2013 • Zecheng Gan, Zhenli Xu
Computer simulation with Monte Carlo is an important tool to investigate the function and equilibrium properties of many systems with biological and soft matter materials solvable in solvents.
Computational Physics
