Journal ArticleDOI
Multilevel asymptotic-preserving Monte Carlo for kinetic-diffusive particle simulations of the Boltzmann-BGK equation
TLDR
In this article, a novel multilevel asymptotic-preserving Monte Carlo method, called Multilevel Kinetic-Diffusion Monte Carlo (ML-KDMC), was developed for simulating the kinetic Boltzmann transport equation with a Bhatnagar-Gross-Krook (BGK) collision operator.About:
This article is published in Journal of Computational Physics.The article was published on 2021-09-28. It has received 3 citations till now. The article focuses on the topics: Monte Carlo method & Monte Carlo method.read more
Citations
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Journal ArticleDOI
Fluid, kinetic and hybrid approaches for neutral and trace ion edge transport modelling in fusion devices
TL;DR: In this article , three hybrid fluid-kinetic approaches are introduced: a spatially hybrid technique, a micro-macro hybrid method, and an asymptotic-preserving MC scheme, to combine the efficiency of a fluid model with the accuracy of a kinetic description.
Journal ArticleDOI
A Kinetic-Diffusion Asymptotic-Preserving Monte Carlo Algorithm for the Boltzmann-BGK Model in the Diffusive Scaling
Journal ArticleDOI
Estimation as a post‐processing step for random walk approximations of the Boltzmann‐BGK model
TL;DR: In this paper , a new estimation strategy that couples the RW parts of the particle trajectories with a deterministic simulation of the corresponding fluid model is presented, which is then computed from a single time step of this fluid model in a post-processing step.
References
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Journal ArticleDOI
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
TL;DR: In this paper, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Journal ArticleDOI
Multilevel Monte Carlo Path Simulation
TL;DR: It is shown that multigrid ideas can be used to reduce the computational complexity of estimating an expected value arising from a stochastic differential equation using Monte Carlo path simulations.
Journal ArticleDOI
A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems
Manfred Padberg,Giovanni Rinaldi +1 more
TL;DR: An algorithm is described for solving large-scale instances of the Symmetric Traveling Salesman Problem (STSP) to optimality using a “polyhedral” cutting-plane procedure that exploits a subset of the system of linear inequalities defining the convex hull of the incidence vectors of the hamiltonian cycles of a complete graph.
Journal ArticleDOI
Multilevel Monte Carlo methods
TL;DR: A review of the progress in multilevel Monte Carlo path simulation can be found in this article, where the authors highlight the simplicity, flexibility and generality of the multi-level Monte Carlo approach.
Journal ArticleDOI
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
TL;DR: A novel variance reduction technique for the standard Monte Carlo method, called the multilevel Monte Carlo Method, is described, and numerically its superiority is demonstrated.