Uncertainty quantification for hyperbolic conservation laws

Feb 4 - 7, 2016

University of Wisconsin-Madison
Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive
Madison, WI
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ABSTRACT

Hyperbolic systems of conservation laws, usually arising from moment closure of kinetic equations,  have equation of states that are often imperical thus may contain uncertainties. Uncertainties also arise from the initial or boundary data due to measuring errors.  These problem appear as nonlinear hyperbolic systems of conservation laws with random coefficients or initial/boundary data.  Developing efficient numerical methods for such problems are not only of significant practical interests but also face major challenges such as the instabilities of the stochastic Galerkin methods,  lack of regularity of the solutions, inaccuracy in long-time approximations, high dimensionality of the random space, etc. 

GOALS

The KIT team aims at developing efficient shock capturing methods for nonlinear hyperbolic systems with random imputs

that may resolve some of the challenges associated with stochastic Galerkin or related uncertainty quantification methods.

CONFIRMED PARTICIPANTS

INFORMATION FOR PARTICIPANTS

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Email: jin@math.wisc.edu