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Solving Spdes By A Least Squares Method
2014
Zenodo
We present in this paper a useful strategy to solve stochastic partial differential equations (SPDEs) involving stochastic coefficients. Using the Wick-product of higher order and the Wiener-Itˆo chaos expansion, the SPDEs is reformulated as a large system of deterministic partial differential equations. To reduce the computational complexity of this system, we shall use a decomposition-coordination method. To obtain the chaos coefficients in the corresponding deterministic equations, we use a
doi:10.5281/zenodo.1336965
fatcat:4vyjpwzccbatnbokrszihhx4rq