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Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion
14 references·16 citing·25 second hop
Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion (2015)Modeling strongly non-Gaussian non-statio…Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Numerical methods for the dis…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 strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Simulation of strongly non-Ga…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…Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Convergence study of the trun…Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions (1995)Applied non-Gaussian processe…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Digital Generation of Non‐Gaussian Stochastic Fields (1988)Digital Generation of Non‐Gau…Digital simulation of random processes and its applications (1972)Digital simulation of random …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…An iterative multi-fidelity scheme for simulating multi-dimensional non-Gaussian random fields (2023)An iterative multi-fidelity s…A new computational scheme for structural static stochastic analysis based on Karhunen–Loève expansion and modified perturbation stochastic finite element method (2023)A new computational scheme fo…A GRU-based ensemble learning method for time-variant uncertain structural response analysis (2022)A GRU-based ensemble learning…Simulating strongly non-Gaussian and non-stationary processes using Karhunen–Loève expansion and L-moments-based Hermite polynomial model (2021)Simulating strongly non-Gauss…3rd-order Spectral Representation Method: Simulation of multi-dimensional random fields and ergodic multi-variate random processes with fast Fourier transform implementation (2021)3rd-order Spectral Representa…Subset simulation for problems with strongly non-Gaussian, highly anisotropic, and degenerate distributions (2020)Subset simulation for problem…A sample-based iterative scheme for simulating non-stationary non-Gaussian stochastic processes (2020)A sample-based iterative sche…Simulation of cross-correlated random field samples from sparse measurements using Bayesian compressive sensing (2018)Simulation of cross-correlate…On spectral representation method and Karhunen–Loève expansion in modelling construction material properties (2018)On spectral representation me…Non-probabilistic interval process analysis of time-varying uncertain structures (2018)Non-probabilistic interval pr…Matching a correlation coefficient by a Gaussian copula (2018)Matching a correlation coeffi…Simple and Efficient Method to Simulate Homogenous Multidimensional Non-Gaussian Vector Fields by the Spectral Representation Method (2017)Simple and Efficient Method t…A direct simulation algorithm for a class of beta random fields in modelling material properties (2017)A direct simulation algorithm…Dynamic response analysis of structure under time-variant interval process model (2016)Dynamic response analysis of …Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation (1996)Stochastic Dynamics and Control (2006)Simulation of simply cross correlated random fields by series expansion methods (2007)Neumann Expansion for Stochastic Finite Element Analysis (1988)Simulation of Ergodic Multivariate Stochastic Processes (1996)Monte Carlo techniques in computational stochastic mechanics (1998)Simulation of Stationary Non-Gaussian Translation Processes (1998)Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Life-cycle reliability-based optimization of civil and aerospace structures (2003)Structural Reliability under Incomplete Probability Information (1986)The stochastic finite element method: Past, present and future (2008)Simulation of multi-dimensional random fields by Karhunen–Loève expansion (2017)An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion (2018)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Random Fields: Analysis and Synthesis (1983)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Fast Numerical Methods for Stochastic Computations: A Review (2009)An Introduction to Computational Stochastic PDEs (2014)Modified linear estimation method for generating multi-dimensional multi-variate Gaussian field in modelling material properties (2014)Principal component analysis and polynomial chaos expansion for time-variant reliability problems (2017)Probabilistic engineering mechanics (1993)Computational stochastic mechanics – recent advances (2001)
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References

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  • 2008Critical review and latest developments of a class of simulation algorithms for strongly non-Gaussian random fields

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118 cited

Cited by

  • 2018Simulation of cross-correlated random field samples from sparse measurements using Bayesian compressive sensing69 cited
  • 2020A sample-based iterative scheme for simulating non-stationary non-Gaussian stochastic processes47 cited
  • 2016Dynamic response analysis of structure under time-variant interval process model45 cited
  • 2023A new computational scheme for structural static stochastic analysis based on Karhunen–Loève expansion and modified perturbation stochastic finite element method42 cited
  • 2021Simulating strongly non-Gaussian and non-stationary processes using Karhunen–Loève expansion and L-moments-based Hermite polynomial model42 cited
  • 2022A GRU-based ensemble learning method for time-variant uncertain structural response analysis38 cited
  • 2017Simple and Efficient Method to Simulate Homogenous Multidimensional Non-Gaussian Vector Fields by the Spectral Representation Method35 cited
  • 2018Matching a correlation coefficient by a Gaussian copula34 cited
  • 2020Subset simulation for problems with strongly non-Gaussian, highly anisotropic, and degenerate distributions31 cited
  • 2018Non-probabilistic interval process analysis of time-varying uncertain structures28 cited
  • 2023An iterative multi-fidelity scheme for simulating multi-dimensional non-Gaussian random fields26 cited
  • 2017A direct simulation algorithm for a class of beta random fields in modelling material properties25 cited
  • 2018On spectral representation method and Karhunen–Loève expansion in modelling construction material properties23 cited
  • 2024Simulation of non-Gaussian wind field as a 3rd-order stochastic wave22 cited
  • 20213rd-order Spectral Representation Method: Simulation of multi-dimensional random fields and ergodic multi-variate random processes with fast Fourier transform implementation20 cited
  • 2024Simulating non-stationary and non-Gaussian cross-correlated fields using multivariate Karhunen–Loève expansion and L-moments-based Hermite polynomial model18 cited