FoCM 2014 conference

Workshop C2 - Foundation of Numerical PDE's

December 20, 15:50 ~ 16:25 - Room B21

Asymptotic-preserving and well-balanced uncertainty quantification for kinetic and hyperbolic equations

Shi Jin

University of Wisconsin-Madison, USA   -

In this talk we will study the generalized polynomial chaos (gPC) approach to hyperbolic and kinetic equations with uncertain coefficients/inputs, and multiple time or space scales, and show that they can be made asymptotic-preserving or well-balanced, in the sense that the gPC scheme preserves various asymptotic limits in the discrete space. This allows the implemention of the gPC methods for these problems without numerically resolving (by space, time, and gPC modes) the small scales.

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