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Multivariate Probabilistic Collocation Method for effective uncertainty evaluation with application to air traffic management
5 references·1 citing·22 second hop
Multivariate Probabilistic Collocation Method for effective uncertainty evaluation with application to air traffic management (2013)Multivariate Probabilistic Collocation Me…Uncertainty Evaluation Through Mapping Identification in Intensive Dynamic Simulations (2010)Uncertainty Evaluation Throug…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A Stochastic Collocation Meth…The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)The multi-element probabilist…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Direct incorporation of uncertainty in chemical and environmental engineering systems (1995)Direct incorporation of uncer…M-PCM-OFFD: An effective output statistics estimation method for systems of high dimensional uncertainties subject to low-order parameter interactions (2018)M-PCM-OFFD: An effective outp…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Stochastic Finite Elements: A Spectral Approach (1991)Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)Stochastic Differential Equations (2003)Multi-element probabilistic collocation method in high dimensions (2009)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Time-dependent generalized polynomial chaos (2010)An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)Uncertainty Analysis of Transport-Transformation Models (1999)Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos (2001)Statistics for Experimenters (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Global Sensitivity Analysis. The Primer (2007)A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)Uncertainty quantification in chemical systems (2009)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. (2011)
this work references cited by second hop

References

  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 1995Direct incorporation of uncertainty in chemical and environmental engineering systems147 cited
  • 2010Uncertainty Evaluation Through Mapping Identification in Intensive Dynamic Simulations31 cited

Cited by

  • 2018M-PCM-OFFD: An effective output statistics estimation method for systems of high dimensional uncertainties subject to low-order parameter interactions12 cited

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