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

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arxiv 1910.09080 v2 pith:ACPKOLZJ submitted 2019-10-20 math.NA cs.NAmath-phmath.MP

Irene M. Gamba , Shi Jin , Liu Liu This is my paper · ORCID
classification math.NAcs.NAmath-phmath.MP
keywords equationskineticerrorbi-fidelityestimatesmethodallowsanalysis
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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.

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