Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs.

*(English)*Zbl 1408.35021##### MSC:

35J15 | Second-order elliptic equations |

65C30 | Numerical solutions to stochastic differential and integral equations |

65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |

60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |

60H35 | Computational methods for stochastic equations (aspects of stochastic analysis) |

##### Keywords:

random inputs; reduced basis methods; uncertainty quantification; stochastic parametrized advection-diffusion equations; advection dominated problems##### References:

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