Stochastic methods for the prediction of complex multiscale phenomena
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Prediction and the quantification of uncertainty
Physica D - Special issue originating from the 18th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, May 11&mdash ;15, 1998
Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Comparison and validation of multi phase closure models
Computers & Mathematics with Applications
Numerical analysis of the Burgers' equation in the presence of uncertainty
Journal of Computational Physics
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We seek error models for simulations that model chaotic flow. Stable statistics for the solution and for the error are obtained after suitable averaging procedures.