2 papers
math.NA2025
On the rotating nonlinear Klein-Gordon equation with multiscale effects: structure-preserving methods and applications to vortex dynamics
Meng Li, Chunyan Niu, Huifei Wang +1
We study numerical methods for the rotating nonlinear Klein-Gordon (RKG) equation, a fundamental model in relativistic quantum physics, which exhibits highly oscillatory multiscale…
math.NA2025
Rejuvenating AMLI-Cycle: From Chebyshev Polynomials to Momentum Acceleration
Chunyan Niu, Yunhui He, Xiaozhe Hu
In this paper, we investigate the AMLI-cycle method and make two contributions. First, we revisit the AMLI-cycle using the Chebyshev polynomials and establish a theory for its unif…