any physical or biological phenomena deal with the dynamics of interacting particles (of inert matter or living being). These classes of phenomena are well described in physics using a kinetic approach based on Boltzmann equation and in biology with a generalized kinetic theory (kinetic theory for active particles). In general, the analytical solutions of the related models are missing thus become extremely relevant the development of numerical approaches. The particle method are a class of numerical methods used to find a numerical solution of Boltzmann equations. The MWF-method for kinetic equations was firstly proposed by S. Motta and J. Wick in 1992 and recently generalized for the equations system case. The aim of this talk is to overv...
Doctor of PhilosophyDepartment of Mechanical and Nuclear EngineeringJames ChenTo describe the behavi...
Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest h...
The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compr...
any physical or biological phenomena deal with the dynamics of interacting particles (of inert matt...
AbstractMany physical or biological phenomena deal with the dynamics of interacting entities. These ...
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneo...
This paper deals with kinetic-type (Boltzmann) modelling and with the analysis of mathematical probl...
The aim of this book is to provide a consistent treatment of kinetic equations both from the viewpo...
This paper develops a variety of mathematical tools to model the dynamics of large systems of intera...
AbstractThe MWF numerical method for kinetic equations was presented by S. Motta and J. Wick in 1992...
This book is based on the idea that Boltzmann-like modelling methods can be developed to design, wit...
A recent kinetic approach for Vicsek-like models of active particles is reviewed. The theory is base...
We shall give an introduction to the validity problem for kinetic equations and we shall review some...
Introduction Particle methods to simulate rarefied gas flows have found an increasing interest in C...
In this survey we consider the development and the mathematical analysis of numerical methods for ki...
Doctor of PhilosophyDepartment of Mechanical and Nuclear EngineeringJames ChenTo describe the behavi...
Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest h...
The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compr...
any physical or biological phenomena deal with the dynamics of interacting particles (of inert matt...
AbstractMany physical or biological phenomena deal with the dynamics of interacting entities. These ...
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneo...
This paper deals with kinetic-type (Boltzmann) modelling and with the analysis of mathematical probl...
The aim of this book is to provide a consistent treatment of kinetic equations both from the viewpo...
This paper develops a variety of mathematical tools to model the dynamics of large systems of intera...
AbstractThe MWF numerical method for kinetic equations was presented by S. Motta and J. Wick in 1992...
This book is based on the idea that Boltzmann-like modelling methods can be developed to design, wit...
A recent kinetic approach for Vicsek-like models of active particles is reviewed. The theory is base...
We shall give an introduction to the validity problem for kinetic equations and we shall review some...
Introduction Particle methods to simulate rarefied gas flows have found an increasing interest in C...
In this survey we consider the development and the mathematical analysis of numerical methods for ki...
Doctor of PhilosophyDepartment of Mechanical and Nuclear EngineeringJames ChenTo describe the behavi...
Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest h...
The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compr...