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Article Dans Une Revue Vietnam Journal of Mathematics Année : 2020

L -splines as diffusive limits of dissipative kinetic models

Résumé

Dissipative kinetic models inspired by neutron transport are studied in a (1 + 1)-dimensional context: first, in the two-stream approximation, then in the general case of continuous velocities. Both are known to relax, in the diffusive scaling, toward a damped heat equation. Accordingly, it is shown that "uniformly accurate" L-splines discretizations of this parabolic asymptotic equation emerge from well-balanced schemes involving scattering S-matrices for the kinetic models. Numerical tests confirm these theoretical findings.
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Dates et versions

hal-02440798 , version 1 (15-01-2020)

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  • HAL Id : hal-02440798 , version 1

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Gabriella Bretti, Laurent Gosse, Nicolas Vauchelet. L -splines as diffusive limits of dissipative kinetic models. Vietnam Journal of Mathematics, In press. ⟨hal-02440798⟩
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