Parallel Kinetic Monte Carlo (KMC) is a potent tool to simulate stochastic particle systems efficiently. However, despite literature on quantifying domain decomposition errors of the particle system for this class of algorithms in the short and in the long time regime, no study yet explores and quantifies the loss of time-reversibility in Parallel KMC. Inspired by concepts from non-equilibrium ...

In these notes we present some recent results on the development of hybrid methods for hyperbolic and kinetic equations with multiple scales. The main ingredients in the schemes are a suitable merging of particle methods in non stiff regimes with high resolution shock capturing techniques in stiff ones. The key aspect in the development of the algorithms is the choice of a suitable hybrid repre...

Abstract. We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator into an equilibrium and a non equilibrium part and are exact for relaxation operators of BGK type. For Boltzmann type kinetic equations they work uniformly for a wide range of relaxation times and avoid the solution of nonlinear ...

This paper describes the application of nultipoint regression methods to a variety of situations that involve nonlinear kinetic data, and illustrates advantages that can be achieved with these data—processing methods. Examples include kinetic procedures that are virtually indepen— dent of variations in experimental parameters such as temperature, pH, reagent concentration, etc., kinetic procedu...

Abstract. This presentation concerns the numerical approximation of a PDE system which models cell movements according to a chemoattractant concentration. The system under consideration turns out to couple a hyperbolic system with a diffusive equation. The solutions of such a model satisfy several properties to be preserved at the numerical level. Indeed, the solutions may contain vacuum, satis...

Numerical methods for linear kinetic equations based on moment expansions for a discretization in the velocity direction are examined. The moment equations are hyperbolic systems which can be shown to converge to the kinetic equation as the order of the expansion tends to innnity and to a drift-diiusion model as the Knudsen number tends to zero. A discretiza-tion of the moment equations with re...

This paper presents a comprehensive classification of kinetic methods of analysis used in clinical chemistry. Objectives of the presentation are to place kinetic methods into perspective with other analytical appraoches, to identify concisely what is and is not a kinetic method, to group different kinetic methods into categories that identify important differences in operational and performance...

The study used a vehicle-based driving simulator to evaluate two graphical displays, one showing risk probability in terms of safety margin (Time Headway, TH), and one showing risk severity in terms of Kinetic Energy (KE). Twenty-seven subjects were randomly allocated to one of three experimental conditions: Control, TH, and KE. Subjects undertook three driving tasks (ABA design). For the secon...