Fast global spectral methods for three-dimensional partial differential equations
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In this paper we present a method to solve the Gdwarf problem in the frame-work of analytical models (based on the instantaneous recycling approximation, IRA).We consider a one-zone closed model without inflows or outflows.We suppose a time-dependent Initi ...
This thesis is devoted to the study of a thermomechanical model describing the macroscopic behavior of shape memory alloys. The analyzed model takes into account the non-isothermal character of the phase transition, as well as the existence of the intrinsi ...
A nonlinear model is studied which describes the evolution of a landscape under the effects of erosion and regeneration by geologic uplift by mean of a simple differential equation. The equation, already in wide use among geomorphologists and in that conte ...
In this paper, we introduce a framework that merges classical ideas borrowed from scale-space and multi-resolution segmentation with non-linear partial differential equations. A non-linear scale-space stack is constructed by means of an appropriate diffusi ...
The formulation and implementation of wavelet based methods for the solution of multi-dimensional partial differential equations in complex geometries is discussed. Utilizing the close connection between Daubechies wavelets and finite difference methods on ...
In this second part of the paper we exploit the framework of Partial difference Equations (PdEs) over graphs for analyzing the behavior of multi-agent systems equipped with potential field based control schemes. We consider agent dynamics affected by error ...
In this paper we introduce the framework of Partial difference Equations (PdEs) over graphs for analyzing the behavior of multiple agent formations equipped with decentralized control schemes. PdEs mimic Partial Differential Equations (PDEs) on graphs and ...
The problem of finding a piecewise smooth approximation of an original image while preserving edges is closely related to the image segmentation problem. Indeed, if we know the cartoon version of the original image, it is easier to perform an image partiti ...
Laguerre diagrams are used as a geometric idealization of 3-dimensional polycrystals. These cell structures are entirely defined by a set of weighted sites. Each site is given an additional weight which affects the size of the associated cell. Models of gr ...
