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Stochastic Collocation With Non-Gaussian Correlated Process Variations: Theory, Algorithms, and Applications
16 references·10 citing·24 second hop
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Version 5.0, user's manual. (2010)
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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
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
  • 2010An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations205 cited
  • 2013Stochastic Testing Method for Transistor-Level Uncertainty Quantification Based on Generalized Polynomial Chaos182 cited
  • 2011Adaptive ANOVA decomposition of stochastic incompressible and compressible flows127 cited
  • 2014Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition98 cited
  • 2011Parameters Variability Effects on Multiconductor Interconnects via Hermite Polynomial Chaos97 cited

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  • 2006Hermite Polynomial Based Interconnect Analysis in the Presence of Process Variations90 cited
  • 2008Stochastic formulation of SPICE-type electronic circuit simulation with polynomial chaos77 cited
  • 2015An ME-PC Enhanced HDMR Method for Efficient Statistical Analysis of Multiconductor Transmission Line Networks71 cited
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    • 2019A Statistical Parsimony Method for Uncertainty Quantification of FDTD Computation Based on the PCA and Ridge Regression25 cited
    • 2020Uncertainty Quantification of Waveguide Dispersion Using Sparse Grid Stochastic Testing20 cited
    • 2020A Perturbative Stochastic Galerkin Method for the Uncertainty Quantification of Linear Circuits19 cited
    • 2020Machine-Learning-Based Hybrid Random-Fuzzy Uncertainty Quantification for EMC and SI Assessment19 cited
    • 2024Nonparametric formulation of polynomial chaos expansion based on least-square support-vector machines14 cited
    • 2019A Hybrid Perturbative-Stochastic Galerkin Method for the Variability Analysis of Nonuniform Transmission Lines14 cited
    • 2019Rational Polynomial Chaos Expansions for the Stochastic Macromodeling of Network Responses13 cited
    • 2021Performance Variability Analysis of Photonic Circuits With Many Correlated Parameters13 cited
    • 2021A Polymorphic Polynomial Chaos Formulation for Mixed Epistemic-Aleatory Uncertainty Quantification of RF/Microwave Circuits12 cited