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An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method
8 references·0 citing·29 second hop
An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method (2014)An efficient simulation approach for mult…New formulation of Cholesky decomposition and applications in stochastic simulation (2013)New formulation of Cholesky d…Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination (2011)Harmonic wavelets based stati…Comparison between Karhunen–Loève expansion and translation-based simulation of non-Gaussian processes (2006)Comparison between Karhunen–L…Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Simulation of strongly non-Ga…Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Convergence study of the trun…Simulation of Ergodic Multivariate Stochastic Processes (1996)Simulation of Ergodic Multiva…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Arma Monte Carlo Simulation in Probabilistic Structural Analysis (1989)Arma Monte Carlo Simulation i…Digital simulation of random processes and its applications (1972)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)Simulation of Stationary Non-Gaussian Translation Processes (1998)Karhunen–Loève expansion revisited for vector-valued random fields: Scaling, errors and optimal basis. (2013)Polynomial chaos expansions and stochastic nite-element methods (2018)A novel eigenvalue-based iterative simulation method for multi-dimensional homogeneous non-Gaussian stochastic vector fields (2022)Random vibration and statistical linearization (1990)Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)A stochastic harmonic function representation for non-stationary stochastic processes (2017)Random Fields: Analysis and Synthesis (1983)Stochastic Finite Elements: A Spectral Approach (1991)Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Nonlinear Random Vibrations of Beams with Fractional Derivative Elements (2014)Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations (2022)Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation (2023)Simulation of Multivariate Nonstationary Random Processes: Hybrid Stochastic Wave and Proper Orthogonal Decomposition Approach (2017)Random function representation of stationary stochastic vector processes for probability density evolution analysis of wind-induced structures (2018)Simulation of ergodic multivariate stochastic processes: An enhanced spectral representation method (2021)The stochastic finite element method: Past, present and future (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)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)
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References

  • 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
  • 2005Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion259 cited
  • 2011Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination147 cited
  • 2013New formulation of Cholesky decomposition and applications in stochastic simulation106 cited
  • 1989Arma Monte Carlo Simulation in Probabilistic Structural Analysis61 cited
  • 2006Comparison between Karhunen–Loève expansion and translation-based simulation of non-Gaussian processes55 cited

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