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math.NA2025
Machine learning-based parameter optimization for Müntz spectral methods
Wei Zeng, Chuanju Xu, Yiming Lu +1
Spectral methods employing non-standard polynomial bases, such as Müntz polynomials, have proven effective for accurately solving problems with solutions exhibiting low regularity…
math.NA2024
A Locally Divergence-Free Oscillation-Eliminating Discontinuous Galerkin Method for Ideal Magnetohydrodynamic Equations
Wei Zeng, Qian Wang
Numerical simulations of ideal compressible magnetohydrodynamic (MHD) equations are challenging, as the solutions are required to be magnetic divergence-free for general cases as w…