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4 papers · 2 filters
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…
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…
On convergence of the penalty method for unilateral contact problems
Franz Chouly, Hild Patrick
We present a convergence analysis of the penalty method applied to unilateral contact problems in two and three space dimensions. We first consider, under various regularity assump…
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…