AbstractMany physical or biological phenomena deal with the dynamics of interacting entities. These class of phenomena are well described in physics, using a kinetic approach based on Boltzmann equation. A Generalized Kinetic theory has been proposed to extend this approach to biological scenarios. An analytical solution of Boltzmann equation can be found only in very simple cases, so numerical methods become extremely relevant. The particle method is 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. Here, we show that the MWF-method can be extended to system of Boltzamm equations
The Boltzmann equation is a complex integral-differential equation and the basis of the kinetic theo...
Kinetic theory of gases, as described by the Boltzmann or model kinetic equations, provides a solid ...
In this manuscript we review the basic techniques for the application of spectral methods to kinetic...
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 ...
This paper deals with kinetic-type (Boltzmann) modelling and with the analysis of mathematical probl...
AbstractThe MWF numerical method for kinetic equations was presented by S. Motta and J. Wick in 1992...
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneo...
AbstractThe lattice Boltzmann method (LBM) for the incompressible Navier–Stokes (NS) equations and t...
The aim of this book is to provide a consistent treatment of kinetic equations both from the viewpo...
In this survey we consider the development and the mathematical analysis of numerical methods for ki...
Introduction Particle methods to simulate rarefied gas flows have found an increasing interest in C...
Is it possible to solve Boltzmann-type kinetic equations using only a small number of particle veloc...
This paper develops a variety of mathematical tools to model the dynamics of large systems of intera...
The Boltzmann equation, an integro-differential equation for the molecular distribution function in ...
The Boltzmann equation is a complex integral-differential equation and the basis of the kinetic theo...
Kinetic theory of gases, as described by the Boltzmann or model kinetic equations, provides a solid ...
In this manuscript we review the basic techniques for the application of spectral methods to kinetic...
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 ...
This paper deals with kinetic-type (Boltzmann) modelling and with the analysis of mathematical probl...
AbstractThe MWF numerical method for kinetic equations was presented by S. Motta and J. Wick in 1992...
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneo...
AbstractThe lattice Boltzmann method (LBM) for the incompressible Navier–Stokes (NS) equations and t...
The aim of this book is to provide a consistent treatment of kinetic equations both from the viewpo...
In this survey we consider the development and the mathematical analysis of numerical methods for ki...
Introduction Particle methods to simulate rarefied gas flows have found an increasing interest in C...
Is it possible to solve Boltzmann-type kinetic equations using only a small number of particle veloc...
This paper develops a variety of mathematical tools to model the dynamics of large systems of intera...
The Boltzmann equation, an integro-differential equation for the molecular distribution function in ...
The Boltzmann equation is a complex integral-differential equation and the basis of the kinetic theo...
Kinetic theory of gases, as described by the Boltzmann or model kinetic equations, provides a solid ...
In this manuscript we review the basic techniques for the application of spectral methods to kinetic...