L
Lorenzo Pareschi
Researcher at University of Ferrara
Publications - 247
Citations - 8918
Lorenzo Pareschi is an academic researcher from University of Ferrara. The author has contributed to research in topics: Boltzmann equation & Monte Carlo method. The author has an hindex of 45, co-authored 236 publications receiving 7402 citations. Previous affiliations of Lorenzo Pareschi include University of Wisconsin-Madison & Union des Industries Ferroviaires Européennes.
Papers
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Journal ArticleDOI
Implicit---Explicit Runge---Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
Lorenzo Pareschi,Giovanni Russo +1 more
TL;DR: New implicit–explicit (IMEX) Runge–Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms are considered, with high accuracy in space and several applications are presented.
Journal ArticleDOI
Numerical methods for kinetic equations
Giacomo Dimarco,Lorenzo Pareschi +1 more
TL;DR: This survey considers the development and mathematical analysis of numerical methods for kinetic partial differential equations, including the case of semi-Lagrangian methods, discrete-velocity models and spectral methods, and an overview of the current state of the art.
Posted Content
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
Lorenzo Pareschi,Giovanni Russo +1 more
TL;DR: In this article, new implicit-explicit (IMEX) Runge-Kutta methods were proposed for hyperbolic systems of conservation laws with stiff relaxation terms. But the implicit part is treated by a strong-stability-preserving (SSP) scheme, and the explicit part is represented by an L-stable diagonally implicit Runge Kutta method (DIRK).
Book
Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods
TL;DR: A robust approach to mathematical modelling and numerical simulation of multi-agent systems is presented in detail and is a useful reference text for applied mathematicians, physicists, biologists and economists who want to learn about modelling and approximation of such challenging phenomena.
Journal ArticleDOI
On a Kinetic Model for a Simple Market Economy
TL;DR: In this article, a simple kinetic model of economy involving both exchanges between agents and speculative trading is considered and a suitable asymptotic limit of the model yielding a Fokker-Planck equation for the distribution of wealth among individuals.