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Extending Polynomial Chaos to Include Interval Analysis

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
2004A Method Based on Random-Fuzzy Variables for Online Estimation of the Measurement Uncertainty of DSP-Based Instruments60 cited
2006A Polynomial Chaos Approach to Measurement Uncertainty51 cited
2003An innovative approach to the determination of uncertainty in measurements based on fuzzy variables45 cited
2008Uncertainty and Worst-Case Analysis in Electrical Measurements Using Polynomial Chaos Theory29 cited

Cited by

2019On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties15 cited
2010Approximate interval method for epistemic uncertainty propagation using Polynomial Chaos and evidence theory15 cited
2021A Polymorphic Polynomial Chaos Formulation for Mixed Epistemic-Aleatory Uncertainty Quantification of RF/Microwave Circuits12 cited
2025Sampling-efficient surrogate modeling for sensitivity analysis of brake squeal using polynomial chaos expansion10 cited
2017The polynomial chaos approach for reachable set propagation with application to chance‐constrained nonlinear optimal control under parametric uncertainties10 cited
2019Sensitivity Analysis of Random and Interval Uncertain Variables Based on Polynomial Chaos Expansion Method9 cited

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