activity
20242026
most citedMulti-Level Hybrid Monte Carlo / Deterministic Methods for Particle Transport Problems

1 citations · 1 across the 3 of their papers we have counts for

collaborators

7 papers

math.NA2026

Second-Moment Method for Transport Problems with Anisotropic Scattering

India J. Allan, Dmitriy Y. Anistratov

This paper presents a new nonlinear two-level acceleration method for solving the particle transport equation with anisotropic scattering. The method is formulated with the project…

math.NA2026

Hybrid Two-Level Transport Method with Solution Decomposition in Macro and Micro Components

Caleb A. Shaw, Dmitriy Y. Anistratov

This paper presents a new hybrid MC/deterministic method for solving the one-group steady-state Boltzmann transport equation based on decomposition of solution in macro and micro c…

math.NA20261 cited

Multi-Level Hybrid Monte Carlo / Deterministic Methods for Particle Transport Problems

Vincent N. Novellino, Dmitriy Y. Anistratov

This paper presents multilevel hybrid transport (MLHT) methods for solving the neutral-particle Boltzmann transport equation. The proposed MLHT methods are formulated on a sequence…

math.NA2026

Hybrid Weight Window Method for Global Time-Dependent Monte Carlo Particle Transport Calculations

Caleb A. Shaw, Dmitriy Y. Anistratov

This paper presents a new Monte Carlo (MC) algorithm for time-dependent particle transport problems with global variance reduction based on automatic weight windows (WWs). The cent…

math.NA2025

Convergence of Multi-Level Hybrid Monte Carlo Methods for 1-D Particle Transport Problems

Vincent N. Novellino, Dmitriy Y. Anistratov

We present in this paper a hybrid, Multi-Level Monte Carlo (MLMC) method for solving the neutral particle transport equation. MLMC methods, originally developed to solve parametric…

math.NA2025

Hybrid Weight Window Techniques for Time-Dependent Monte Carlo Neutronics

Caleb S. Shaw, Dmitriy Y. Anistratov

Efficient variance reduction of Monte Carlo simulations is desirable to avoid wasting computational resources. This paper presents an automated weight window algorithm for solving…