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Efficient stationary multivariate non-Gaussian simulation based on a Hermite PDF model
13 references·16 citing·30 second hop
Efficient stationary multivariate non-Gaussian simulation based on a Hermite PDF model (2015)Efficient stationary multivariate non-Gau…A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic vector process by a translation process with applications in wind velocity simulation (2012)A simple and efficient method…A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process (2011)A simple and efficient method…Critical review and latest developments of a class of simulation algorithms for strongly non-Gaussian random fields (2008)Critical review and latest de…Simulation of non-Gaussian processes using fractile correlation (2003)Simulation of non-Gaussian pr…Non-Gaussian Simulation: Cumulative Distribution Function Map-Based Spectral Correction (2003)Non-Gaussian Simulation: Cumu…Simulation of second-order processes using Karhunen–Loeve expansion (2002)Simulation of second-order pr…Simulation of multi-dimensional non-gaussian non-stationary random fields (2002)Simulation of multi-dimension…Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes (2002)Polynomial Chaos Decompositio…Simulation of Highly Skewed Non-Gaussian Stochastic Processes (2001)Simulation of Highly Skewed N…Simulation of Stationary Non-Gaussian Translation Processes (1998)Simulation of Stationary Non-…Simulation of Ergodic Multivariate Stochastic Processes (1996)Simulation of Ergodic Multiva…Nonlinear Vibration Models for Extremes and Fatigue (1988)Nonlinear Vibration Models fo…Digital Generation of Non‐Gaussian Stochastic Fields (1988)Digital Generation of Non‐Gau…The higher-order analysis of response for linear structure under non-Gaussian stochastic excitations with known statistical moments and power spectral density (2024)The higher-order analysis of …Simulation of non-Gaussian wind field as a 3rd-order stochastic wave (2024)Simulation of non-Gaussian wi…Simulating non-stationary and non-Gaussian cross-correlated fields using multivariate Karhunen–Loève expansion and L-moments-based Hermite polynomial model (2024)Simulating non-stationary and…Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD (2023)Simulation of a non-Gaussian …Simulation of 4th-order non-Gaussian random processes by higher-order spectral representation method (2023)Simulation of 4th-order non-G…Simulating Multivariate Multidimensional Homogenous Non-Gaussian Field Based on Unified Hermite Polynomial Model (2023)Simulating Multivariate Multi…Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model (2023)Multivariate non-Gaussian pro…A critical review on methods for time-dependent structural reliability (2023)A critical review on methods …Simulation of stationary non-Gaussian stochastic vector processes using an eigenvalue-based iterative translation approximation method (2022)Simulation of stationary non-…Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model (2022)Simulating multivariate stati…A novel eigenvalue-based iterative simulation method for multi-dimensional homogeneous non-Gaussian stochastic vector fields (2022)A novel eigenvalue-based iter…Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions (2021)Simulation of stationary Gaus…Simulating strongly non-Gaussian and non-stationary processes using Karhunen–Loève expansion and L-moments-based Hermite polynomial model (2021)Simulating strongly non-Gauss…Importance Sampling for Time-Variant Reliability Analysis (2021)Importance Sampling for Time-…Simulating Stationary Non-Gaussian Processes Based on Unified Hermite Polynomial Model (2020)Simulating Stationary Non-Gau…Time-Dependent Reliability Analysis Using a Vine-ARMA Load Model (2016)Time-Dependent Reliability 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simulation using a wavelet-Galerkin scheme (2002)Life-cycle reliability-based optimization of civil and aerospace structures (2003)Probabilistic Theory of Structural Dynamics (1976)Stochastic averaging: An approximate method of solving random vibration problems (1986)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic Dynamics of Marine Structures (2012)Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms (2002)Time-variant reliability assessment through equivalent stochastic process transformation (2016)
this work references cited by second hop

References

  • 1996Simulation of Ergodic Multivariate Stochastic Processes547 cited
  • 1988Nonlinear Vibration Models for Extremes and Fatigue535 cited
  • 1988Digital Generation of Non‐Gaussian Stochastic Fields317 cited
  • 1998Simulation of Stationary Non-Gaussian Translation Processes303 cited
  • 2002Simulation of second-order processes using Karhunen–Loeve expansion269 cited
  • 2001Simulation of Highly Skewed Non-Gaussian Stochastic Processes226 cited
  • 2002Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes197 cited
  • 2011A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process168 cited
  • 2002Simulation of multi-dimensional non-gaussian non-stationary random fields152 cited
  • 2008Critical review and latest developments of a class of simulation algorithms for strongly non-Gaussian random fields118 cited
  • 2003Non-Gaussian Simulation: Cumulative Distribution Function Map-Based Spectral Correction104 cited
  • 2012A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic vector process by a translation process with applications in wind velocity simulation87 cited
  • 2003Simulation of non-Gaussian processes using fractile correlation72 cited

Cited by

  • 2022

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A novel eigenvalue-based iterative simulation method for multi-dimensional homogeneous non-Gaussian stochastic vector fields
43 cited
  • 2021Simulating strongly non-Gaussian and non-stationary processes using Karhunen–Loève expansion and L-moments-based Hermite polynomial model42 cited
  • 2020Simulating Stationary Non-Gaussian Processes Based on Unified Hermite Polynomial Model41 cited
  • 2023Simulation of 4th-order non-Gaussian random processes by higher-order spectral representation method29 cited
  • 2022Simulation of stationary non-Gaussian stochastic vector processes using an eigenvalue-based iterative translation approximation method28 cited
  • 2021Importance Sampling for Time-Variant Reliability Analysis27 cited
  • 2022Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model26 cited
  • 2024Simulation of non-Gaussian wind field as a 3rd-order stochastic wave22 cited
  • 2024Simulating non-stationary and non-Gaussian cross-correlated fields using multivariate Karhunen–Loève expansion and L-moments-based Hermite polynomial model18 cited
  • 2021Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions17 cited
  • 2023A critical review on methods for time-dependent structural reliability16 cited
  • 2023Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD15 cited
  • 2016Time-Dependent Reliability Analysis Using a Vine-ARMA Load Model13 cited
  • 2024The higher-order analysis of response for linear structure under non-Gaussian stochastic excitations with known statistical moments and power spectral density7 cited
  • 2023Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model7 cited
  • 2023Simulating Multivariate Multidimensional Homogenous Non-Gaussian Field Based on Unified Hermite Polynomial Model7 cited