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arXiv:1910.09080 [math.NA]AbstractReferencesReviewsResources

Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales

Irene M. Gamba, Shi Jin, Liu Liu

Published 2019-10-20Version 1

In this paper, we conduct uniform error estimates of the bi-fidelity method for multi-scale kinetic equations. We take the Boltzmann and the linear transport equations as important examples. The main analytic tool is the hypocoercivity analysis for kinetic equations, considering solutions in a perturbative setting close to the global equilibrium. This allows us to obtain the error estimates in both kinetic and hydrodynamic regimes.

Categories: math.NA, cs.NA, math-ph, math.MP
Subjects: 35Q20, 65M70
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