5 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Perturbation Theory
Nicolas Fillion, Robert M. Corless
This article aims to explain essential elements of perturbation theory and their conceptual underpinnings. It is not meant as a summary of popular perturbation methods, though some…
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…
Le Her and Other Problems in Probability Discussed by Bernoulli, Montmort and Waldegrave
David R. Bellhouse, Nicolas Fillion
Part V of the second edition of Pierre Rémond de Montmort's Essay d'analyse sur les jeux de hazard published in 1713 contains correspondence on probability problems between Montmor…