We describe and implement a fully discrete spectral method for the numerical solution of a class of non-linear, dispersive systems of Boussinesq type, modelling two-way propagation of long water waves of small amplitude in a channel. For three particular systems, we investigate properties of the...

Two methods (the multiple scales and the generalized synchronization) are used to investigate second-order approximate analytic solution. The first-order ordinary differential equations are derived for evaluation of the amplitude and phase with damping, non-linearity and all possible resonances....

A method-of-lines solution algorithm for reacting flow problems modelled by hyperbolic partial differential equations (PDEs) with stiff source terms is presented. Monotonicity preserving advection schemes are combined with space/time error balancing and a Gauss–Seidel iteration to provide an...

FLUKA is a Monte Carlo code, transporting hadron and lepton cascades from several TeV down to a few keV (thermal energies for neutrons). The code is widely employed in various applications, such as particle detector design, shielding, radiation therapy, high energy physics experiments.

This paper is devoted to the presentation of new meshless methods based on the introduction of a new class of approximation for the derivatives. They generalize classical weighted particle methods for conservation laws and converge under less restrictive conditions. We present two schemes and...

An approach for symbolic–numeric stability analysis of equilibrium positions of a satellite system with given gyrostatic and aerodynamic torques and given principal central moments of inertia is presented. The satellite system is described by Lagrange differential equations. The equations of...

In this paper, we consider Monte Carlo (MC) algorithms based on the use of the resolvent matrix for solving linear algebraic problems. Estimates for the speedup and efficiency of the algorithms are presented. Some numerical examples performed on cluster of workstations using MPI are given.

The propagation of solitons through spatially-modulated media is studied numerically as a function of the amplitude, frequency and length of the spatial nonuniformities. It is shown that for a fixed amplitude and length of modulation, an increase in frequency may result in a soliton that...

We present a performance analysis and experimental simulation results on the problem of scheduling a divisible load on a bus network. In general, the computing requirement of a divisible load is CPU intensive and demands multiple processing nodes for efficient processing. We consider the problem...

We define new selection criteria for lattice rules for quasi-Monte Carlo integration. The criteria examine the projections of the lattice over subspaces of small or successive dimensions. Their computation exploits the dimension-stationarity of certain lattice rules, and of other low-discrepancy...