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On the electron scattering on the one-dimensional complexes: the vertex array method
electron scattering one-dimensional complexes vertex array method
2011/2/21
The problem of electron scattering on the one-dimensional complexes is considered. We present a novel theoretical approach to solution of the transport problem for a quantum graph.
Generalized Newton's Method based on Graphical Derivatives
nonsmooth equations optimization and variational analysis Newton’s method
2010/11/29
This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify
a new generalized Newt...
Ulam method and fractal Weyl law for Perron--Frobenius operators
Ulam method fractal Weyl law Perron--Frobenius operators
2010/4/7
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the ...