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Eigenvalues of the Jacobian of a Galerkin-Projected Uncertain ODE System
12 references·7 citing·34 second hop
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited
  • 2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
  • 2003A new stochastic approach to transient heat conduction modeling with uncertainty216 cited
  • 1999Finite elements for stochastic media problems89 cited
  • 1998Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation61 cited

Cited by

  • 2015Sensitivity analysis and model order reduction for random linear dynamical systems31 cited
  • 2012Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations

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21 cited
  • 2017Intrusive Polynomial Chaos Methods for Forward Uncertainty Propagation16 cited
  • 2014Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems15 cited
  • 2012Simplified CSP analysis of a stiff stochastic ODE system14 cited
  • 2011POLYNOMIAL CHAOS FOR SEMIEXPLICIT DIFFERENTIAL ALGEBRAIC EQUATIONS OF INDEX 112 cited
  • 2019Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems11 cited