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We examine a variety of polynomial-chaos-motivated approximations to a stochastic form of a steady state groundwater flow model. We consider approaches for truncating the infinite dimensional problem and producing decoupled systems. We discuss conditions under which such decoupling is possible and show that to generalize the known decoupling by numerical… (More)
A monoid M2 divides a monoid M 1 if M2 is (isomorphic to) a quotient of some submonoid of M 1 .