4 papers
Stability of Ginzburg-Landau pulses via Fredholm determinants of Birman-Schwinger operators
Erika Gallo, John Zweck, Yuri Latushkin
We introduce a numerical method to determine the stability of stationary pulse solutions of the complex Ginzburg-Landau equation. The method involves the computation of the point s…
Numerical Fredholm determinants for matrix-valued kernels on the real line
Erika Gallo, John Zweck, Yuri Latushkin
We analyze a numerical method for computing Fredholm determinants of trace class and Hilbert Schmidt integral operators defined in terms of matrix-valued kernels on the entire real…
The calculus of Duistermaat's triple index
Gregory Berkolaiko, Graham Cox, Yuri Latushkin +1
In this paper we develop a systematic calculus for the Duistermaat index, a symplectic invariant defined for triples of Lagrangian subspaces. Introduced nearly half a century ago,…
A regularity condition under which integral operators with operator-valued kernels are trace class
John Zweck, Yuri Latushkin, Erika Gallo
We study integral operators on the space of square-integrable functions from a compact set, , to a separable Hilbert space, . The kernel of such an operator takes values in t…