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math.NA2024
Structured Backward Error for the WKB method
Robert M. Corless, Nicolas Fillion
The classical WKB method (also known as the WKBJ method, the LG method, or the phase integral method) for solving singularly perturbed linear differential equations has never, as f…
math.NA2016
Backward Error Analysis for Perturbation Methods
Robert M. Corless, Nicolas Fillion
We demonstrate via several examples how the backward error viewpoint can be used in the analysis of solutions obtained by perturbation methods. We show that this viewpoint is quite…