This thesis presents an example of known discretization methods for spectral problems in partial dierential equations and it is applied with some computations in planar domains with irregular (non-smooth) and self-similar boundary
We consider a simple self-similar sequence of graphs which does not satisfy the symmetry conditions ...
AbstractWe establish the pure point spectrum of the Laplacians on two point self-similar fractal gra...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
This thesis presents an example of known discretization methods for spectral problems in partial die...
We present a new method to approximate the Neumann spectrum of a Laplacian on a fractal K in the pla...
In this paper, we present numerical procedures to compute solutions of partial differential equation...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
A Laplacian may be defined on self-similar fractal domains in terms of a suitable self-similar Diric...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
AbstractEach eigenvalue of the Laplacian, subject to Dirichlet boundary conditions, is shown to atta...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
The method of spectral decimation is applied to an infinite collection of self–similar fractals. The...
Abstract. In this paper, we propose a numerical method to approximate the solution of partial differ...
We consider a simple self-similar sequence of graphs which does not satisfy the symmetry conditions ...
AbstractWe establish the pure point spectrum of the Laplacians on two point self-similar fractal gra...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
This thesis presents an example of known discretization methods for spectral problems in partial die...
We present a new method to approximate the Neumann spectrum of a Laplacian on a fractal K in the pla...
In this paper, we present numerical procedures to compute solutions of partial differential equation...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
A Laplacian may be defined on self-similar fractal domains in terms of a suitable self-similar Diric...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
AbstractEach eigenvalue of the Laplacian, subject to Dirichlet boundary conditions, is shown to atta...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
The method of spectral decimation is applied to an infinite collection of self–similar fractals. The...
Abstract. In this paper, we propose a numerical method to approximate the solution of partial differ...
We consider a simple self-similar sequence of graphs which does not satisfy the symmetry conditions ...
AbstractWe establish the pure point spectrum of the Laplacians on two point self-similar fractal gra...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...