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Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws

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Academic year: 2021

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Figure

Fig. 3.1. Top : Complete binary tree (left) and incomplete binary tree (right) for N = 1; the corresponding partitions of Ξ = [0,1] are shown below the trees
Fig. 3.3. Schematic representation of the elementary restriction (left) and prediction (right) operators through the removal and creation respectively of the (leaves) children of a node.
Fig. 4.1. Example of union of two trees for N = 2: T 1 (left), T 2 (center) and T 1∪2 = T 1 ∪ T 2
Fig. 4.2. Illustration of the elementary operation to generate equivalent trees: the pattern of a node with its children divided along the same direction (left) is replaced by the same pattern but with an exchange of the partition directions (right) plus t
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