190 citations · 1.1k across the 82 of their papers we have counts for
96 papers
A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
A. S. Fokas, J. Lenells
Several important functions, including the gamma function, as well as several infinite sums, admit integral representations involving the Hankel contour. In addition, the large …
Balayage of measures: behavior near a cusp
Christophe Charlier, Jonatan Lenells
Let be a positive measure supported on a domain . We consider the behavior of the balayage measure near a point at whic…
Semiclassical limit of a non-polynomial -Askey scheme
Jonatan Lenells, Julien Roussillon
We prove a semiclassical asymptotic formula for the two elements and lying at the bottom of the recently constructed non-polynomial hyperbolic -Askey s…
Numerical scheme for the solution of the "bad" Boussinesq equation
Christophe Charlier, Daniel Eriksson, Jonatan Lenells
We present a numerical scheme for the solution of the initial-value problem for the ``bad'' Boussinesq equation. The accuracy of the scheme is tested by comparison with exact solit…
Balayage of measures: behavior near a corner
Christophe Charlier, Jonatan Lenells
We consider the balayage of a measure defined on a domain onto its boundary . Assuming that has a corner of opening at a point for…
Boussinesq's equation for water waves: asymptotics in Sector I
Christophe Charlier, Jonatan Lenells
In a recent paper, we showed that the large behavior of a class of physically relevant solutions of Boussinesq's equation for water waves is described by ten main asymptoti…