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Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations

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Figure

Table 1.1: Illustration of the exponential growth of the number of polynomial chaos basis functions,NP .
Figure 1.1: Conceptual illustration of efficiency of gPC, gSC, MC, and CM with respect to dimen-sionality of random space
Figure 2.1: Illustration of eigenvalue crossing and two strategies, Y-Stage and U-Stage
Figure 3.1: Mean and STD computed by DyBO at time t = 1.2
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