Pii: S0378-4754(00)00261-5
نویسندگان
چکیده
The ensemble Monte Carlo algorithm (EMC) is the most frequently used tool for simulation of the transient transport in semiconductors and structures. The common definition of the algorithm is of a procedure based on imitation of the real transport phenomena. Often EMC is accepted as a simulated experiment rather than as a numerical method. Recently it has been shown that the EMC can be obtained by an application of the numerical Monte Carlo (MC) theory to the integral form of the Boltzmann equation (BE) [1–3]. The approach has been further used to prove under a general condition the convergence of the algorithm [4]. In this work we utilize the approach to investigate the variance of the EMC. It is proved that the algorithm has a finite variance and an analytical result is derived. This allows to assign the precision estimates of the numerical MC method to the EMC. © 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
منابع مشابه
Pii: S0378-4754(00)00287-1
Properties of the linear eigenvalue problem associated to a hyperbolic non-linear Schrödinger equation are reviewed. The instability band of a deep-water soliton is shown to merge to the continuous spectrum of a linear Schrödinger operator. A new analytical approximation of the instability growth near a threshold is derived by means of a bifurcation theory of weakly localized wave functions. © ...
متن کاملPii: S0378-4754(00)00170-1
A direct method for solving variational problems using Legendre wavelets is presented. An operational matrix of integration is first introduced and is utilized to reduce a variational problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. © 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.
متن کاملPii: S0378-4754(00)00235-4
In this paper, we develop a finite element model for a cable suspended in water. Global existence and uniqueness of solutions of the truncated system is shown for a slightly simplified equation describing the motion of a cable having negligible added mass and supported by fixed end-points. Based on this, along with well known results on local existence and uniqueness of solutions for symmetriza...
متن کاملPii: S0378-4754(00)00296-2
In this paper we produce numerical, genuinely three-dimensional, hexagonal traveling wave solutions of the Euler equations for water waves using a surface integral formulation derived by Craig and Sulem. These calculations are free from the requirements of either long wavelength or two-dimensionality, both of which are crucial to the KdV and KP scaling regimes, and we produce hexagonal travelin...
متن کامل