Surface subdivision schemes are used extensively in scientific and practical applications to generate continuous surfaces in an iterative manner, starting from a set of points. The first subdivision step defines the so called control polygon. This initial polygon can be considered as a very...

We present a method for computer simulation of diffusion. The method uses quasi-random walk of particles. We consider a pure initial value problem for a simple diffusion equation in s space dimensions. We introduce s spatial steps Δxi. A semi-discrete approximation to the equation is obtained...

It is known that a multiresolution scheme without control on the infinity norm can produce numerical artifacts. This work is intended to provide explicit error bounds for the reconstruction process associated with the interpolating wavelets introduced by Donoho [D. Donoho, Interpolating Wavelet...

Nowadays, Monte Carlo techniques are very common for the development of Nuclear Medicine systems. Simulations can be very helpful for the optimization of SPECT and PET cameras, and for investigating the importance of several physical effects involved in image formation. In this paper, a...

Although the impact of structural breaks on testing for unit root has been studied extensively for univariate time-series, such impact on panel data unit root tests is still relatively unknown. A major issue is the choice of model in accommodating different types of break prior to testing for...

Monte Carlo (MC) linear solvers can be considered stochastic realizations of deterministic stationary iterative processes. That is, they estimate the result of a stationary iterative technique for solving linear systems. There are typically two sources of errors: (i) those from the underlying...

Water management, in a variety of contexts and objectives, is a very important issue gaining increasing attention worldwide. In some places and during some periods, this is due to the scarcity of the water resource, and increasing competition for its use. In some others, it can be risk reduction...

This paper considers the passage of a parallel, uniform stream of particles through a parallel-sided, homogeneous slab of material capable of scattering and absorption. Particle histories are followed until the particle escapes from the near or far surface of the slab. Each particle carries a...

The femtosecond dynamics of highly non-equilibrium, confined carriers is analyzed within a Monte Carlo approach. The physical process considered corresponds to a locally excited or injected into a semiconductor nanowire distribution of heated carriers, which evolve under the action of an applied...

Algorithms for estimating the integral over hyper-rectangular regions are discussed. Solving this problem in high dimensions is usually considered a domain of Monte Carlo and quasi-Monte Carlo methods, because their power degrades little with increasing dimension. These algorithms are compared...