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- W2911450107 abstract "Uncertainty quantification (UQ) is defined differently by different disciplines. Here, we first review an applied and computational mathematician’s definition of UQ for complex systems, especially in the context of partial differential equations (PDEs) with random inputs. We then discuss the types of stochastic noises that are used as inputs to the PDEs and, for the case of infinite stochastic processes, how those inputs are approximated so that they are amenable to computations. We then review methods that are used to obtain approximations of solutions of PDEs with random inputs, with special emphases given to stochastic Galerkin and stochastic sampling methods, including sparse-grid methods in the latter case. We close with a brief foray into where UQ in the PDE setting is going moving forwards." @default.
- W2911450107 created "2019-02-21" @default.
- W2911450107 creator A5076283476 @default.
- W2911450107 date "2019-01-01" @default.
- W2911450107 modified "2023-09-25" @default.
- W2911450107 title "An Applied/Computational Mathematician’s View of Uncertainty Quantification for Complex Systems" @default.
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- W2911450107 doi "https://doi.org/10.1007/978-1-4939-9051-1_5" @default.
- W2911450107 hasPublicationYear "2019" @default.
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