Articolo in rivista

The action of Volterra integral operators with highly singular kernels on Holder continuous, Lebesgue and Sobolev functions

For kernels zi which are positive and integrable we show that the operator g bar right arrow J(v)g = integral(x)(0) v(x-s)g(s)ds on a finite time interval enjoys a regularizing effect when applied to Holder continuous and Lebesgue functions and a "contractive" effect when applied to Sobolev…

A fluid dynamics model of the growth of phototrophic biofilms

A system of nonlinear hyperbolic partial differential equations is derived using mixture theory to model the formation of biofilms. In contrast with most of the existing models, our equations have a finite speed of propagation, without using artificial free boundary conditions. Adapted numerical…

Bounding Vertex Coloring by Truncated Multistage Branch and Bound

Questo lavoro si occupa di graph coloring. In particolare viene proposto un algoritmo di branch and bound troncato in grado di calcolare buoni lower bound sul numero cromatico di un grafo e spesso fornisce la soluzione ottima.

Formation of calcium phosphate nanoparticles in the presence of carboxylate molecules: a time-resolved in situ synchrotron SAXS and WAXS study

In this work we have studied in situ the formation and growth of calcium phosphate (CaP) nanoparticles (NPs) in the presence of three calcium-binding carboxylate molecules having different affinities for Ca2+ ions: citrate (Cit), hydroxycitrate (CitOH), and glutarate (Glr). The formation of CaP NPs…

Structural and dynamical properties of methane clathrate hydrates from molecular dynamics: Comparison of atomistic and more coarse-grained potential models

In an attempt to study the accuracy and utility of 'coarse grained' models for methane-clathrate systems, molecular-dynamics simulations were run for three different potential models. One was fully atomistic of TIP4P water and fully atomistic methane, the next model was atomistic SPC water and…

Benchmarking of communication techniques for GPUs

Multiphase semiclassical approximation of the one-dimensional harmonic crystal: I. The periodic case

Abstract. One-dimensional electronic conduction is investigated in a special case usually referred to as the harmonic crystal, meaning essentially that atoms are assumed to move like coupled harmonic oscillators within the Born–Oppenheimer approximation. We recall their dispersion relation and…

Multilevel omic data integration in cancer cell lines: advanced annotation and emergent properties

Background: High-throughput (omic) data have become more widespread in both quantity and frequency of use, thanks to technological advances, lower costs and higher precision. Consequently, computational scientists are confronted by two parallel challenges: on one side, the design of efficient…

Geometry of tracer trajectories in rotating turbulent flows

The geometry of passive tracer trajectories is studied in two different types of rotating turbulent flows; rotating Rayleigh-Bénard convection (RBC; experiments and direct numerical simulations) and rotating electromagnetically forced turbulence (EFT; experiments). This geometry is fully described…

a new proof for the convergence of the trigonometric method for the Abel integral equations of the first ind

In this paper the author gives a new proof to evaluate the convergence of a collocation method for the Abel integral equations of the first kind.