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New formulation of Cholesky decomposition and applications in stochastic simulation
7 references·6 citing·29 second hop
New formulation of Cholesky decomposition and applications in stochastic simulation (2013)New formulation of Cholesky decomposition…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…Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Convergence study of the trun…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…Simulation of Ergodic Multivariate Stochastic Processes (1996)Simulation of Ergodic Multiva…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Digital simulation of random processes and its applications (1972)Digital simulation of random …Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model (2022)Simulating multivariate stati…Simulation of ergodic multivariate stochastic processes: An enhanced spectral representation method (2021)Simulation of ergodic multiva…Dimension reduction model for two-spatial dimensional stochastic wind field: Hybrid approach of spectral decomposition and wavenumber spectral representation (2020)Dimension reduction model for…Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures (2018)Random function representatio…Simulation of Multivariate Nonstationary Random Processes: Hybrid Stochastic Wave and Proper Orthogonal Decomposition Approach (2017)Simulation of Multivariate No…An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method (2014)An efficient simulation appro…Monte Carlo solution of structural dynamics (1972)Simulation of homogeneous nonGaussian stochastic vector fields (1998)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Simulation of simply cross correlated random fields by series expansion methods (2007)Digital Generation of Non‐Gaussian Stochastic Fields (1988)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)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)Random Fields: Analysis and Synthesis (1983)Stochastic Finite Elements: A Spectral Approach (1991)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination (2011)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Wind Speed Field Simulation via Stochastic Harmonic Function Representation Based on Wavenumber–Frequency Spectrum (2019)Simulation of wind velocity time histories on long span structures modeled as non-Gaussian stochastic waves (2020)The Spectral Representation Method: A framework for simulation of stochastic processes, fields, and waves (2024)Simulation of Multivariate and Multidimensional Random Processes (1971)Stochastic Dynamics of Structures (2009)A new method for stochastic analysis of structures under limited observations (2022)PDEM-based multi-component and global reliability evaluation framework for steel tubular transmission towers with semi-rigid connections (2023)Global reliability assessment of coupled transmission tower-insulator-line systems considering soil-structure interaction subjected to multi-hazard of wind and ice (2024)Dynamic response and reliability analysis of non-linear stochastic structures (2004)The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The stochastic finite element method: Past, present and future (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)An Introduction to Computational Stochastic PDEs (2014)
this work references cited by second hop

References

  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1996Simulation of Ergodic Multivariate Stochastic Processes547 cited
  • 2001Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes466 cited
  • 2002Simulation of second-order processes using Karhunen–Loeve expansion269 cited
  • 2005Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion259 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 cited

Cited by

  • 2017Simulation of Multivariate Nonstationary Random Processes: Hybrid Stochastic Wave and Proper Orthogonal Decomposition Approach82 cited
  • 2018Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures46 cited
  • 2014An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method43 cited
  • 2021Simulation of ergodic multivariate stochastic processes: An enhanced spectral representation method31 cited
  • 2022Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model26 cited
  • 2020Dimension reduction model for two-spatial dimensional stochastic wind field: Hybrid approach of spectral decomposition and wavenumber spectral representation

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11 cited