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Uncertainty Quantification in Simulations of Epidemics Using Polynomial Chaos
8 references·7 citing·31 second hop
Uncertainty Quantification in Simulations of Epidemics Using Polynomial Chaos (2012)Uncertainty Quantification in Simulations…Random coefficient differential equation models for bacterial growth (2009)Random coefficient differenti…Sampling and sensitivity analyses tools (SaSAT) for computational modelling (2008)Sampling and sensitivity anal…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Uncertainty analysis for fluid mechanics with applications (2002)Uncertainty analysis for flui…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…Theory and methods for random differential equations: a survey (2022)Theory and methods for random…Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method (2021)Uncertainty quantification fo…Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models (2019)Combining Polynomial Chaos Ex…On the convergence of adaptive gPC for non-linear random difference equations: Theoretical analysis and some practical recommendations (2018)On the convergence of adaptiv…Computational uncertainty quantification for random time‐discrete epidemiological models using adaptive gPC (2018)Computational uncertainty qua…Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters (2016)Applying the stochastic Galer…Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell (2015)Influence of Physical and Geo…Polynomial Chaos in Stochastic Finite Elements (1990)Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements with Multiple Random Non-Gaussian Properties (1999)Uncertainty analysis for the steady-state flows in a dual throat nozzle (2004)Robust Aerodynamic Design Optimization Using Polynomial Chaos (2009)Uncertainty Quantification of Hypersonic Reentry Flows with Sparse Sampling and Stochastic Expansions (2014)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code (2000)Economic Evaluations with Agent-Based Modelling: An Introduction (2015)Stochastic Differential Equations (2003)Parameter estimation using polynomial chaos and maximum likelihood (2013)Uncertainty quantification for ecological models with random parameters (2022)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model (2020)Stochastic differential equations and applications (2008)Simulation of Ergodic Multivariate Stochastic Processes (1996)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Stochastic Dynamics of Marine Structures (2012)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 2002Uncertainty analysis for fluid mechanics with applications143 cited
  • 2008Sampling and sensitivity analyses tools (SaSAT) for computational modelling137 cited
  • 2009Random coefficient differential equation models for bacterial growth42 cited

Cited by

  • 2022Theory and methods for random differential equations: a survey19 cited
  • 2018Computational uncertainty quantification for random time‐discrete epidemiological models using adaptive gPC16 cited
  • 2016Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters10 cited
  • 2019Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models9 cited
  • 2018On the convergence of adaptive gPC for non-linear random difference equations: Theoretical analysis and some practical recommendations9 cited
  • 2021

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Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method
9 cited
  • 2015Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell9 cited