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Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations

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Figure

Fig. 1 Three numerical velocity-velocity correlations: the mean-square at one point in space, cp(0), the product at neigh-
Fig. 2 The correlation functionη cq(x) and the corresponding b(x) constructed from a numerical solution with β = 5, k = 4, = 1.
Fig. 3 Performance of different algorithms as a function ofthe lower right panel,the upper graph, the correlation length ∆t
Fig. 4 Numerical means, as a function ofleapfrog (RL), three-stage and four-stage Runge-Kutta leapfrog (RKL3 and RKL4)

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