21 citations · 68 across the 22 of their papers we have counts for
4 papers · 1 filter
Multidomain spectral method for the Gauss hypergeometric function
S. Crespo, M. Fasondini, C. Klein +2
We present a multidomain spectral approach for Fuchsian ordinary differential equations in the particular case of the hypergeometric equation. Our hybrid approach uses Frobenius' m…
Spectral approach to the scattering map for the semi-classical defocusing Davey-Stewartson II equation
C. Klein, K. McLaughlin, N. Stoilov
The inverse scattering approach for the defocusing Davey-Stewartson II equation is given by a system of D-bar equations. We present a numerical approach to semi-classical D-bar pro…
Numerical scattering for the defocusing Davey-Stewartson II equation for initial data with compact support
C. Klein, N. Stoilov
In this work we present spectral algorithms for the numerical scattering for the defocusing Davey-Stewartson (DS) II equation with initial data having compact support on a disk, i.…
Numerical Approach to Painlevé Transcendents on Unbounded Domains
Christian Klein, Nikola Stoilov
A multidomain spectral approach for Painlevé transcendents on unbounded domains is presented. This method is designed to study solutions determined uniquely by a, possibly divergen…