Physics-informed polynomial chaos expansions

Stochastic analysis (60Hxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Probabilistic methods, stochastic differential equations (65Cxx)

Cites Work

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Adaptive sparse polynomial chaos expansion based on least angle regression
SAMBA: sparse approximation of moment-based arbitrary polynomial chaos
The numerical solution of linear ordinary differential equations by feedforward neural networks
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DGM: a deep learning algorithm for solving partial differential equations
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Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling
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An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use

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