9 citations · 18 across the 3 of their papers we have counts for
4 papers
Stationary phase with Cauchy singularity. A critical point of signature
Christian Klein, Johannes Sjöstrand, Maher Zerzeri
Asymptotic expressions for an integral appearing in the solution of a d-bar problem are presented. The integral is a solid Cauchy transform of a function with a rapidly oscillating…
Large behavior of complex geometric optics solutions to d-bar problems
C. Klein, J. Sjöstrand, N. Stoilov
Complex geometric optics solutions to a system of d-bar equations appearing in the context of electrical impedance tomography and the scattering theory of the integrable Davey-Stew…
High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data
C. Klein, K. McLaughlin, N. Stoilov
We present an efficient high-precision numerical approach for the Davey-Stewartson (DS) II equation, treating initial data from the Schwartz class of smooth, rapidly decreasing fun…
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…