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Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion
8 references·16 citing·29 second hop
Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion (2012)Variability Analysis of Multiport Systems…Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects (2012)Stochastic Modeling-Based Var…Stochastic Analysis of Multiconductor Cables and Interconnects (2011)Stochastic Analysis of Multic…Parameters Variability Effects on Multiconductor Interconnects via Hermite Polynomial Chaos (2011)Parameters Variability Effect…Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Recent Advances in Non-Intrus…Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos (2006)Modeling Arbitrary Uncertaint…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Probabilistic Uncertainty Quantification of Microwave Circuits Using Gaussian Processes (2022)Probabilistic Uncertainty Qua…High-Dimensional Uncertainty Quantification of Electronic and Photonic IC With Non-Gaussian Correlated Process Variations (2019)High-Dimensional Uncertainty …A Fast Polynomial Chaos Expansion for Uncertainty Quantification in Stochastic Electromagnetic Problems (2019)A Fast Polynomial Chaos Expan…Stochastic process design kits for photonic circuits based on polynomial chaos augmented macro-modelling (2018)Stochastic process design kit…Reduced Dimensional Chebyshev-Polynomial Chaos Approach for Fast Mixed Epistemic-Aleatory Uncertainty Quantification of Transmission Line Networks (2018)Reduced Dimensional Chebyshev…Variability Analysis via Parameterized Model Order Reduction and Numerical Inversion of Laplace Transform (2017)Variability Analysis via Para…Stochastic transmission line analysis via polynomial chaos methods: an overview (2017)Stochastic transmission line …Measurement Uncertainty Propagation in Transistor Model Parameters via Polynomial Chaos Expansion (2017)Measurement Uncertainty Propa…Accurate Reduced Dimensional Polynomial Chaos for Efficient Uncertainty Quantification of Microwave/RF Networks (2017)Accurate Reduced Dimensional …Multidimensional Uncertainty Quantification of Microwave/RF Networks Using Linear Regression and Optimal Design of Experiments (2016)Multidimensional Uncertainty …Efficient Statistical Simulation of Microwave Devices Via Stochastic Testing-Based Circuit Equivalents of Nonlinear Components (2015)Efficient Statistical Simulat…Stochastic Macromodeling of Nonlinear Systems Via Polynomial Chaos Expansion and Transfer Function Trajectories (2014)Stochastic Macromodeling of N…Efficient Variability Analysis of Electromagnetic Systems Via Polynomial Chaos and Model Order Reduction (2014)Efficient Variability Analysi…Decoupled Polynomial Chaos and Its Applications to Statistical Analysis of High-Speed Interconnects (2014)Decoupled Polynomial Chaos an…Variability Analysis of Interconnects Terminated by General Nonlinear Loads (2013)Variability Analysis of Inter…Generalized Hermite Polynomial Chaos for Variability Analysis of Macromodels Embeddedin Nonlinear Circuits (2013)Generalized Hermite Polynomia…Stochastic Finite Elements: A Spectral Approach (1991)Fast Numerical Methods for Stochastic Computations: A Review (2009)An ME-PC Enhanced HDMR Method for Efficient Statistical Analysis of Multiconductor Transmission Line Networks (2015)Sparse Linear Regression (SPLINER) Approach for Efficient Multidimensional Uncertainty Quantification of High-Speed Circuits (2016)Structural reliability under combined random load sequences (1978)Global sensitivity analysis using polynomial chaos expansions (2007)Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)First order reliability method for time-variant problems using series expansions (2014)Exact and Invariant Second-Moment Code Format (1974)Narrow Reliability Bounds for Structural Systems (1979)Second‐Order Reliability Approximations (1987)Optimal Discretization of Random Fields (1993)Reliability analysis—a review and some perspectives (2001)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Random-Space Dimensionality Reduction for Expedient Yield Estimation of Passive Microwave Structures (2013)Stochastic Testing Method for Transistor-Level Uncertainty Quantification Based on Generalized Polynomial Chaos (2013)Spectral Stochastic FEM for Uncertainty Quantification Due to Multiple Dielectric Variabilities (2019)A Data Compression Strategy for the Efficient Uncertainty Quantification of Time-Domain Circuit Responses (2020)A Perturbative Stochastic Galerkin Method for the Uncertainty Quantification of Linear Circuits (2020)On the convergence of generalized polynomial chaos expansions (2011)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Stochastic Modeling of Nonlinear Circuits via SPICE-Compatible Spectral Equivalents (2014)Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition (2014)Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations (2011)Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated 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this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2006Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos146 cited
  • 2011Stochastic Analysis of Multiconductor Cables and Interconnects114 cited
  • 2011Parameters Variability Effects on Multiconductor Interconnects via Hermite Polynomial Chaos97 cited
  • 2012Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects96 cited

Cited by

  • 2017Stochastic transmission line analysis via polynomial chaos methods: an overview82 cited
  • 2013Generalized Hermite Polynomial Chaos for Variability Analysis of Macromodels Embeddedin Nonlinear Circuits71 cited
  • 2014Decoupled Polynomial Chaos and Its Applications to Statistical Analysis of High-Speed Interconnects70 cited
  • 2017Measurement Uncertainty Propagation in Transistor Model Parameters via Polynomial Chaos Expansion59 cited
  • 2014Efficient Variability Analysis of Electromagnetic Systems Via Polynomial Chaos and Model Order Reduction53 cited

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  • 2019A Fast Polynomial Chaos Expansion for Uncertainty Quantification in Stochastic Electromagnetic Problems49 cited
  • 2015Efficient Statistical Simulation of Microwave Devices Via Stochastic Testing-Based Circuit Equivalents of Nonlinear Components47 cited
  • 2016Multidimensional Uncertainty Quantification of Microwave/RF Networks Using Linear Regression and Optimal Design of Experiments43 cited
  • 2022Probabilistic Uncertainty Quantification of Microwave Circuits Using Gaussian Processes42 cited
  • 2013Variability Analysis of Interconnects Terminated by General Nonlinear Loads41 cited
  • 2017Accurate Reduced Dimensional Polynomial Chaos for Efficient Uncertainty Quantification of Microwave/RF Networks39 cited
  • 2019High-Dimensional Uncertainty Quantification of Electronic and Photonic IC With Non-Gaussian Correlated Process Variations31 cited
  • 2017Variability Analysis via Parameterized Model Order Reduction and Numerical Inversion of Laplace Transform27 cited
  • 2014Stochastic Macromodeling of Nonlinear Systems Via Polynomial Chaos Expansion and Transfer Function Trajectories23 cited
  • 2018Reduced Dimensional Chebyshev-Polynomial Chaos Approach for Fast Mixed Epistemic-Aleatory Uncertainty Quantification of Transmission Line Networks23 cited
  • 2018Stochastic process design kits for photonic circuits based on polynomial chaos augmented macro-modelling22 cited