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math.NA2021
Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations
Bin Wang, Xiaofei Zhao
In this paper, we consider a class of highly oscillatory Hamiltonian systems which involve a scaling parameter . The problem arises from many physical models i…
math.NA2021★ 8 cited
Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes
Xavier Antoine, Xiaofei Zhao
Two different Perfectly Matched Layer (PML) formulations with efficient pseudo-spectral numerical schemes are derived for the standard and non-relativistic nonlinear Klein-Gordon e…