Search results for "Numerical Analysis"
showing 10 items of 883 documents
Hybrid model of an inventer-induction motor system
1969
A model of the three-phase bridge inverter with a wide range of validity is proposed. This model can be used for the simulation of the inverter induction motor system on a hybrid computer or an analogue computer. In the latter case it is necessary to achieve a logical device which realizes the inverter model. After a block diagram for the simulation of the inverter induction motor system is illustrated as well as the circuital diagram of the device which simulates the inverter. Finally the authors describe the tests carried out in order to verify the validity of the inverter model and the correct operating of the device which simulates the inverter.
Inversion Formulas for the Discretized Hilbert Transform on the Unit Circle
1998
A discrete version of the Hilbert transform on the unit circle is considered. Its Moore--Penrose inverse with respect to suitable scalar products is derived for different side conditions. Furthermore, stability of the pseudo-inverse is studied. These results allow the efficient computation of approximate solutions of singular integral equations with Hilbert kernel. Furthermore, the stability analysis of such methods becomes much easier even for graded meshes which are useful for weakly singular solutions.
A dynamic load-balancing algorithm for molecular dynamics simulation on multi-processor systems
1991
Abstract A new algorithm for dynamic load-balancing on multi-processor systems and its application to the molecular dynamics simulation of the spinodal phase separation are presented. The load-balancer is distributed among the processors and embedded in the application itself. Tests performed on a transputer network show that the load-balancer behaves almost ideally in this application. The same approach can be easily extended to different multi-processor topologies or applications.
A rescaling algorithm for the numerical solution to the porous medium equation in a two-component domain
2016
Abstract The aim of this paper is to design a rescaling algorithm for the numerical solution to the system of two porous medium equations defined on two different components of the real line, that are connected by the nonlinear contact condition. The algorithm is based on the self-similarity of solutions on different scales and it presents a space-time adaptable method producing more exact numerical solution in the area of the interface between the components, whereas the number of grid points stays fixed.
Multialternating Jordan polynomials and codimension growth of matrix algebras
2007
Abstract Let R be the Jordan algebra of k × k matrices over a field of characteristic zero. We exhibit a noncommutative Jordan polynomial f multialternating on disjoint sets of variables of order k 2 and we prove that f is not a polynomial identity of R . We then study the growth of the polynomial identities of the Jordan algebra R through an analysis of its sequence of Jordan codimensions. By exploiting the basic properties of the polynomial f , we are able to prove that the exponential rate of growth of the sequence of Jordan codimensions of R in precisely k 2 .
Combined impacts of the Allee effect, delay and stochasticity: Persistence analysis
2020
Abstract We study a combined influence of the Allee effect, delay and stochasticity on the base of the phenomenological Hassell mathematical model of population dynamics. This bistable dynamical model possesses a wide variety of regimes, both regular and chaotic. In the persistence zone, these regimes coexist with the trivial equilibrium that corresponds to the extinction of the population. It is shown that borders of the persistence zone are defined by the crisis and saddle-node bifurcation points. Noise-induced transitions from the persistence to the extinction are studied both numerically and analytically. Using numerical modeling, we have found that the persistence zone can decrease and…
A novel method based on augmented Markov vector process for the time-variant extreme value distribution of stochastic dynamical systems enforced by P…
2020
Abstract The probability density function (PDF) of the time-variant extreme value process for structural responses is of great importance. Poisson white noise excitation occurs widely in practical engineering problems. The extreme value distribution of the response of systems excited by Poisson white noise processes is still not yet readily available. For this purpose, in the present paper, a novel method based on the augmented Markov vector process for the PDF of the time-variant extreme value process for a Poisson white noise driven dynamical system is proposed. Specifically, the augmented Markov vector (AMV) process is constructed by combining the extreme value process and its underlying…
Localization of the spectra of dual frames multipliers
2022
This paper concerns dual frames multipliers, i.e. operators in Hilbert spaces consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames, respectively. The goal of the paper is to give some results about the localization of the spectra of dual frames multipliers, i.e. to individuate regions of the complex plane containing the spectra using some information about the frames and the symbols.
Electrophoretic properties of charged colloidal suspensions: Application of a hybrid MD/LB method
2006
Abstract Electrophoretic properties of charged colloidal suspensions are investigated using a hybrid simulation method. In this method, the colloidal particles are propagated via Newton’s equations of motion using molecular dynamics (MD), while they are coupled to a structureless solvent that is modelled by the Lattice-Boltzmann (LB) method.
Hybrid equilibrium element with interelement interface for the analysis of delamination and crack propagation problems
2020
This article proposes a formulation for the analysis of delamination and fracture propagation problems at the interelement interface, with perfect adhesion at the pre-failure condition and with linear softening at the post-failure regime. The proposed formulation is based on the hybrid equilibrium element (HEE) model, with stress fields which strongly verify the homogeneous equilibrium equations and interelement equilibrium equations. The HEE can easily model high-order stress fields and can implicitly model the initially rigid behavior of an extrinsic interface at the element sides. The interface model is defined as a function of the same degrees of freedom of the HEE (generalized stresses…