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Uncertainty Quantification and Robust Optimization in Engineering
16 references·1 citing·31 second hop
Uncertainty Quantification and Robust Optimization in Engineering (2019)Uncertainty Quantification and Robust Opt…Uncertainty‐based robust aerodynamic optimization of rotor blades (2012)Uncertainty‐based robust aero…Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties (2010)Shape optimization of an airf…Representation of analysis results involving aleatory and epistemic uncertainty. (2008)Representation of analysis re…Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos (2008)Evaluation of Non-Intrusive A…Classic Works of the Dempster-Shafer Theory of Belief Functions (2008)Classic Works of the Dempster…Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Efficient Sampling for Non-In…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations (2006)A Non-Intrusive Polynomial Ch…Stochastic Approaches to Uncertainty Quantification in CFD Simulations (2005)Stochastic Approaches to Unce…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…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 …A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…A Stochastic Projection Method for Fluid Flow (2001)A Stochastic Projection Metho…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…On the statistical sensitivity analysis of models for chemical kinetics (1975)On the statistical sensitivit…Performance assessment of Kriging with partial least squares for high-dimensional uncertainty and sensitivity analysis (2023)Performance assessment of Kri…A k-nearest neighbor classification rule based on Dempster-Shafer theory (1995)LINGUISTIC AGGREGATION OPERATORS FOR LINGUISTIC DECISION MAKING BASED ON THE DEMPSTER-SHAFER THEORY OF EVIDENCE (2010)Probabilistic analysis of natural gas pipeline network accident based on Bayesian network (2017)The applications of MCDM methods in COVID-19 pandemic: A state of the art review (2022)Ingredients for a general purpose stochastic finite elements implementation (1999)Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Combustion kinetic model uncertainty quantification, propagation and minimization (2014)Verification and Validation in Computational Science and Engineering (1998)Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods (2007)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)Stochastic finite element methods for partial differential equations with random input data (2014)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)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)Polynomial Chaos in Stochastic Finite Elements (1990)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)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)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Global sensitivity analysis using polynomial chaos expansions (2007)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)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)
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
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008Classic Works of the Dempster-Shafer Theory of Belief Functions623 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2007Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables347 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2006A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations335 cited
  • 2005Stochastic Approaches to Uncertainty Quantification in CFD Simulations281 cited
  • 2008Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos187 cited
  • 2002Uncertainty analysis for fluid mechanics with applications143 cited
  • 1975On the statistical sensitivity analysis of models for chemical kinetics123 cited
  • 2008Representation of analysis results involving aleatory and epistemic uncertainty.123 cited

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  • 2010Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties64 cited
  • 2012Uncertainty‐based robust aerodynamic optimization of rotor blades56 cited
  • Cited by

    • 2023Performance assessment of Kriging with partial least squares for high-dimensional uncertainty and sensitivity analysis10 cited