4 papers
Numerical Simulation for General Relativistic Magnetohydrodynamics in Dynamic Spacetimes
Beibei Li
We present a novel spectral solver for general relativistic magnetohydrodynamics on dynamical spacetimes. By combining a high order discontinuous spectral method on mapped Chebyshe…
The Fourier Spectral Transformer Networks For Efficient and Generalizable Nonlinear PDEs Prediction
Beibei Li
In this work we propose a unified Fourier Spectral Transformer network that integrates the strengths of classical spectral methods and attention based neural architectures. By tran…
The geomagnetic storm and Kp prediction using Wasserstein transformer
Beibei Li
The accurate forecasting of geomagnetic activity is important. In this work, we present a novel multimodal Transformer based framework for predicting the 3 days and 5 days planetar…
Magnetic Field Data Calibration with Transformer Model Using Physical Constraints: A Scalable Method for Satellite Missions, Illustrated by Tianwen-1
Beibei Li, Yutian Chi, Yuming Wang
This study introduces a novel approach that integrates the magnetic field data correction from the Tianwen-1 Mars mission with a neural network architecture constrained by physical…