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20142026
most citedDeep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs

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math.NA2026

Approximation of PDE solution manifolds: Sparse-grid interpolation and quadrature

Dinh Dũng, Van Kien Nguyen, Duong Thanh Pham +1

We study fully-discrete approximations and quadratures of infinite-variate functions in abstract Bochner spaces associated with a Hilbert space and an infinite-tensor-product J…