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Quantum graphs
QGLAB: A MATLAB Package for Computations on Quantum Graphs
We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs.
Roy Goodman
,
Gracie Conte
,
Jeremy Marzuola
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arXiv
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Drift of spectrally stable shifted states on star graphs
When the coefficients of the cubic terms match the coefficients in the boundary conditions at a vertex of a star graph and satisfy a …
Adilbek Kairzhan
,
Dmitry Pelinovsky
,
Roy Goodman
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arXiv
NLS bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
We consider the bifurcations of standing wave solutions to the nonlinear Schrödinger equation (NLS) posed on a quantum graph consisting …
Roy Goodman
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