The authors prove that the two-dimensional Levin PDE has a slowly-varying approximate solution without non-resonance conditions, and they demonstrate an adaptive delaminating method that handles stationary and resonance points.
On the adaptive Levin method
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An adaptive delaminating Levin method in two dimensions
The authors prove that the two-dimensional Levin PDE has a slowly-varying approximate solution without non-resonance conditions, and they demonstrate an adaptive delaminating method that handles stationary and resonance points.