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Simulation of multi-dimensional non-gaussian non-stationary random fields
4 references·16 citing·31 second hop
Simulation of multi-dimensional non-gaussian non-stationary random fields (2002)Simulation of multi-dimensional non-gauss…Simulation of Stationary Non-Gaussian Translation Processes (1998)Simulation of Stationary Non-…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…An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion (2018)An explicit method for simula…Time-variant reliability assessment through equivalent stochastic process transformation (2016)Time-variant reliability asse…Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion (2015)Modeling strongly non-Gaussia…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 multi‐scale spectral stochastic method for homogenization of multi‐phase periodic composites with random material properties (2010)A multi‐scale spectral stocha…Polynomial chaos representation of spatio-temporal random fields from experimental measurements (2009)Polynomial chaos representati…A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties (2009)A domain adaptive stochastic …Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Stochastic finite elements: C…Critical review and latest developments of a class of simulation algorithms for strongly non-Gaussian random fields (2008)Critical review and latest de…Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach (2008)Asymptotic Sampling Distribut…QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS (2007)QUANTIFYING UNCERTAINTY: MODE…Stochastic analysis of transport in tubes with rough walls (2006)Stochastic analysis of transp…Evaluation of Karhunen–Loève, Spectral, and Sampling Representations for Stochastic Processes (2006)Evaluation of Karhunen–Loève,…Stochastic simulation of non-Gaussian/non-stationary properties in a functionally graded plate (2004)Stochastic simulation of non-…Non-Gaussian Simulation: Cumulative Distribution Function Map-Based Spectral Correction (2003)Non-Gaussian Simulation: Cumu…Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms (2002)Non-Gaussian simulation using…Digital simulation of random processes and its applications (1972)Simulation of Ergodic Multivariate Stochastic Processes (1996)Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme (2014)Neumann Expansion for Stochastic Finite Element Analysis (1988)Monte Carlo techniques in computational stochastic mechanics (1998)Simulation of second-order processes using Karhunen–Loeve expansion (2002)Simulation of Multivariate and Multidimensional Random Processes (1971)A state-of-the-art report on computational stochastic mechanics (1997)Random Vibration of Mechanical and Structural Systems (1992)Simulation of Highly Skewed Non-Gaussian Stochastic Processes (2001)Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Reliability-Based Design in Civil Engineering (1989)Estimation of evolutionary spectra for simulation of non-stationary and non-Gaussian stochastic processes (2013)Efficient stationary multivariate non-Gaussian simulation based on a Hermite PDF model (2015)Random vibration of mechanical and structural systems (1993)Reliability assessment in structural dynamics (2013)Simulation of multi-dimensional random fields by Karhunen–Loève expansion (2017)Stochastic Differential Equations: An Introduction with Applications. 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1988Digital Generation of Non‐Gaussian Stochastic Fields317 cited
  • 1998Simulation of Stationary Non-Gaussian Translation Processes303 cited

Cited by

  • 2016Time-variant reliability assessment through equivalent stochastic process transformation140 cited
  • 2002Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms122 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
  • 2006Stochastic analysis of transport in tubes with rough walls104 cited
  • 2006Evaluation of Karhunen–Loève, Spectral, and Sampling Representations for Stochastic Processes103 cited
  • 2018An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion100 cited
  • 2010A multi‐scale spectral stochastic method for homogenization of multi‐phase periodic composites with random material properties99 cited
  • 2008Stochastic finite elements: Computational approaches to stochastic partial differential equations98 cited

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2015
Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation Method and Karhunen–Loève expansion
93 cited
  • 2009A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties88 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
  • 2009Polynomial chaos representation of spatio-temporal random fields from experimental measurements80 cited
  • 2008Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach80 cited
  • 2007QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS77 cited
  • 2004Stochastic simulation of non-Gaussian/non-stationary properties in a functionally graded plate74 cited