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Numerical analysis of the Burgers’ equation in the presence of uncertainty
11 references·6 citing·28 second hop
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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited
  • 2006Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics194 cited
  • 2006Long-term behavior of polynomial chaos in stochastic flow simulations173 cited
  • 2007Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos139 cited
  • 2006Computational Modeling of Uncertainty in Time-Domain Electromagnetics119 cited
  • 2006Uncertainty quantification of limit-cycle oscillations119 cited
  • 2004Uncertainty analysis for the steady-state flows in a dual throat nozzle74 cited
  • 2004Supersensitivity due to uncertain boundary conditions64 cited

Cited by

  • 2019Filtered stochastic Galerkin methods for hyperbolic equations35 cited
  • 2015不确定性量化的高精度数值方法和理论27 cited
  • 2013Subcell resolution in simplex stochastic collocation for spatial discontinuities16 cited

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  • 2014Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations15 cited
  • 2020Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws15 cited
  • 2021Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier–Stokes equations12 cited