1 citations · 1 across the 5 of their papers we have counts for
9 papers
Large behavior for the reflection coefficient for Davey-Stewartson II equations
Christian Klein, Johannes Sjöstrand, Nikola Stoilov
The study of 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 integrab…
Numerical study of Davey-Stewartson I systems
J. Frauendiener, C. Klein, U. Muhammad +1
An efficient high precision hybrid numerical approach for integrable Davey-Stewartson (DS) I equations for trivial boundary conditions at infinity is presented for Schwartz class i…
Multi-domain spectral approach for the Hilbert transform on the real line
C. Klein, J. Riton, N. Stoilov
A multi-domain spectral method is presented to compute the Hilbert transform on the whole compactified real line, with a special focus on piece-wise analytic functions and function…
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation
C. Klein, S. Roudenko, N. Stoilov
We present a detailed numerical study of solutions to the Zakharov-Kuznetsov equation in three spatial dimensions. The equation is a three-dimensional generalization of the Kortewe…
Large behavior of d-bar problems for domains with a smooth boundary
C. Klein, Johannes Sjöstrand, N. Stoilov
In a previous work on the large behavior of complex geometric optics solutions to a system of d-bar equations, we treated in detail the situation when a certain potential is…
Numerical study of Zakharov-Kuznetsov equations in two dimensions
C. Klein, S. Roudenko, N. Stoilov
We present a detailed numerical study of solutions to the (generalized) Zakharov-Kuznetsov equation in two spatial dimensions with various power nonlinearities. In the -subc…