11 citations · 16 across the 7 of their papers we have counts for
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Transparent Boundary Conditions for the Time-Fractional Heat Equation on Metric Graphs
Anis Bel Hadj Hassin, Matthias Ehrhardt
In this work, we study transparent boundary conditions for the time-fractional heat equation on a metric star graph. This equation is the standard continuum model for subdiffusive…
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…