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arXiv · 1207.5901

Ensemble Averaging for Dynamical Systems under Fast Oscillating Random Boundary Conditions

Wei Wang·Jian Ren·Jinqiao Duan·Guowei He
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Abstract

This paper is devoted to provide a theoretical underpinning for ensemble forecasting with rapid fluctuations in body forcing and in boundary conditions. Ensemble averaging principles are proved under suitable `mixing' conditions on random boundary conditions and on random body forcing. The ensemble averaged model is a nonlinear stochastic partial differential equation, with the deviation process (i.e., the approximation error process) quantified as the solution of a linear stochastic partial differential equation.

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Wei Wang, Jian Ren, Jinqiao Duan, Guowei He. 2012-07-25. Ensemble Averaging for Dynamical Systems under Fast Oscillating Random Boundary Conditions. https://arxiv.org/abs/1207.5901

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