34 citations · 174 across the 29 of their papers we have counts for
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Transparent Boundary Conditions for the Heat Equation on Metric Graphs
Jasur Matrasulov, Jambul Yusupov, Matthias Ehrhardt
We study transparent boundary conditions (TBCs) for the time-dependent heat equation in a branching, quasi-one-dimensional domain modeled as a metric star graph. By combining the c…
Transparent boundary conditions for the spatially discrete Schrödinger equation: Reflectionless quantum transport in 1D lattices
Mashrab E. Akramov, Jambul R. Yusupov, Matthias Ehrhardt +1
We construct exact transparent boundary conditions (TBCs) for a time-continuous, spatially discrete Schrödinger equation that models a one-dimensional quantum lattice. Using a rece…
Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theory
V. A. Derkach, C. Trunk, J. R. Yusupov +1
We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boun…
Transparent PT-symmetric nonlinear networks
Mashrab Akramov, Jambul Yusupov, Matthias Ehrhardt +2
We consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schrödinger (NNLS) equation on metric graphs, for which transparent boundary cond…