ERROR ESTIMATE OF A BIFIDELITY METHOD FOR KINETIC EQUATIONS WITH RANDOM PARAMETERS AND MULTIPLE SCALES
ERROR ESTIMATE OF A BIFIDELITY METHOD FOR KINETIC EQUATIONS WITH RANDOM PARAMETERS AND MULTIPLE SCALES
In this paper, we conduct uniform error estimates of the bifidelity method for multiscale kinetic equations. We take the Boltzmann and the linear transport equations as important examples, and discuss various choices of low-fidelity models for more general kinetic equations. The main analytic tool is the hypocoercivity analysis for kinetic …