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POLYNOMIAL CHAOS FOR LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS WITH RANDOM PARAMETERS
5 references·5 citing·17 second hop
POLYNOMIAL CHAOS FOR LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS WITH RANDOM PARAMETERS (2011)POLYNOMIAL CHAOS FOR LINEAR DIFFERENTIAL …Fast Numerical Methods for Stochastic Computations: A Review (2009)Fast Numerical Methods for St…Polynomial chaos for the approximation of uncertainties: Chances and limits (2008)Polynomial chaos for the appr…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems (2019)Stability Preservation in Sto…Sensitivity analysis and model order reduction for random linear dynamical systems (2015)Sensitivity analysis and mode…Uncertainty quantification for integrated circuits: Stochastic spectral methods (2013)Uncertainty quantification fo…POLYNOMIAL CHAOS FOR SEMIEXPLICIT DIFFERENTIAL ALGEBRAIC EQUATIONS OF INDEX 1 (2011)POLYNOMIAL CHAOS FOR SEMIEXPL…Generalised Polynomial Chaos for a Class of Linear Conservation Laws (2011)Generalised Polynomial Chaos …Application of the Polynomial Chaos Expansion to the simulation of chemical reactors with uncertainties (2011)Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations (2013)Mean-field-type games (2017)Structural Reliability Analysis and Prediction (2017)Global sensitivity analysis using polynomial chaos expansions (2007)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)On the convergence of generalized polynomial chaos expansions (2011)Introduction to Uncertainty Quantification (2015)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty (2015)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)POLYNOMIAL-CHAOS-BASED KRIGING (2015)
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
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2009Fast Numerical Methods for Stochastic Computations: A Review608 cited
  • 2008Polynomial chaos for the approximation of uncertainties: Chances and limits89 cited

Cited by

  • 2015Sensitivity analysis and model order reduction for random linear dynamical systems31 cited
  • 2011Generalised Polynomial Chaos for a Class of Linear Conservation Laws28 cited
  • 2013Uncertainty quantification for integrated circuits: Stochastic spectral methods13 cited
  • 2011POLYNOMIAL CHAOS FOR SEMIEXPLICIT DIFFERENTIAL ALGEBRAIC EQUATIONS OF INDEX 112 cited
  • 2019Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems11 cited

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