81 citations · 589 across the 46 of their papers we have counts for
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Towards an ultra efficient kinetic scheme Part II: The high order case
Giacomo Dimarco, Raphaël Loubere
In a recent paper we presented a new ultra efficient numerical method for solving kinetic equations of the Boltzmann type (G. Dimarco, R. Loubere, Towards an ultra efficient kineti…
The Moment Guided Monte Carlo method for the Boltzmann equation
Giacomo Dimarco
In this work we propose a generalization of the Moment Guided Monte Carlo method developed in [11]. This approach permits to reduce the variance of the particle methods through a m…
Asymptotic preserving Implicit-Explicit Runge-Kutta methods for non linear kinetic equations
G. Dimarco, L. Pareschi
We discuss Implicit-Explicit (IMEX) Runge Kutta methods which are particularly adapted to stiff kinetic equations of Boltzmann type. We consider both the case of easy invertible co…
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Giacomo Dimarco, Raphaël Loubere
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation ope…
High order asymptotic-preserving schemes for the Boltzmann equation
Giacomo Dimarco, Lorenzo Pareschi
In this note we discuss the construction of high order asymptotic preserving numerical schemes for the Boltzmann equation. The methods are based on the use of Implicit-Explicit (IM…