An efficient backward Monte Carlo (MC) estimator and a corresponding algorithm for solving a quantum-kinetic equation describing an ultrafast semiconductor carrier transport is proposed and studied. In order to obtain the electron energy distribution for long evolution times, variance reduction...

In this paper a second degree iterative Monte Carlo method for solving systems of linear algebraic equations and matrix inversion is presented. Comparisons are made with iterative Monte Carlo methods with degree one. It is shown that the mean value of the number of chains N, and the chain length...

In many large-scale problems, one is interested to obtain directly an approximate value of a functional of the solution. Here, we consider a special class of grid-free Monte Carlo algorithms for direct computing of linear functionals of the solution of an elliptic boundary-value problem. Such...

In any data mining applications, automated text and text and image retrieval of information is needed. This becomes essential with the growth of the Internet and digital libraries. Our approach is based on the latent semantic indexing (LSI) and the corresponding term-by-document matrix suggested...