The time step truncation error in direct simulation Monte Carlo calculations is found to be O(Δt2) for a variety of simple flows, both transient and steady state. The measured errors in the transport coefficients (viscosity, thermal conductivity, and self-diffusion) are in good agreement with predictions from Green-Kubo analysis (N. Hadjiconstantinou, Phys. Fluids, submitted 1999)
The paper is concerned with the numerical treatment of the uniformly heated inelastic Boltzmann equa...
We propose modifications to the simple diffusion Monte Carlo algorithm that greatly reduce the time‐...
We present predictions for the statistical error due to finite sampling in the presence of thermal f...
The time step truncation error in direct simulation Monte Carlo calculations is found to be O(Δt2) f...
A homogeneous (bulk) silicon semiconductor is studied by using the Direct Simulation Monte Carlo (DS...
The paper studies the convergence behavior of Monte Carlo schemes for semiconductors. A detailed ana...
Using the Green–Kubo theory, the dependence of the viscosity and thermal conductivity on cell size i...
AbstractWe will discuss herein issues on the proper time step in molecular dynamics simulations. Det...
Step errors (local errors, called also truncation errors) of the algorithms used in molecular dynami...
A diffusion Monte Carlo algorithm employing "on the fly" extrapolation with respect to the time step...
he particle-in-cell method with Monte Carlo collisions is frequently used when a detailed kinetic si...
The construction of importance sampled diffusion Monte Carlo (DMC) schemes accurate to second order ...
Direct simulation Monte-Carlo (DSMC) is the most established method for rarefied gas flow simulation...
AbstractSome new quasi-Monte Carlo methods for the solution of the Boltzmann equation in a simplifie...
The numerical errors in idealised discrete element method (DEM) simulations are investigated analyti...
The paper is concerned with the numerical treatment of the uniformly heated inelastic Boltzmann equa...
We propose modifications to the simple diffusion Monte Carlo algorithm that greatly reduce the time‐...
We present predictions for the statistical error due to finite sampling in the presence of thermal f...
The time step truncation error in direct simulation Monte Carlo calculations is found to be O(Δt2) f...
A homogeneous (bulk) silicon semiconductor is studied by using the Direct Simulation Monte Carlo (DS...
The paper studies the convergence behavior of Monte Carlo schemes for semiconductors. A detailed ana...
Using the Green–Kubo theory, the dependence of the viscosity and thermal conductivity on cell size i...
AbstractWe will discuss herein issues on the proper time step in molecular dynamics simulations. Det...
Step errors (local errors, called also truncation errors) of the algorithms used in molecular dynami...
A diffusion Monte Carlo algorithm employing "on the fly" extrapolation with respect to the time step...
he particle-in-cell method with Monte Carlo collisions is frequently used when a detailed kinetic si...
The construction of importance sampled diffusion Monte Carlo (DMC) schemes accurate to second order ...
Direct simulation Monte-Carlo (DSMC) is the most established method for rarefied gas flow simulation...
AbstractSome new quasi-Monte Carlo methods for the solution of the Boltzmann equation in a simplifie...
The numerical errors in idealised discrete element method (DEM) simulations are investigated analyti...
The paper is concerned with the numerical treatment of the uniformly heated inelastic Boltzmann equa...
We propose modifications to the simple diffusion Monte Carlo algorithm that greatly reduce the time‐...
We present predictions for the statistical error due to finite sampling in the presence of thermal f...