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On the spectral representation method in simulation
4 references·15 citing·32 second hop
On the spectral representation method in simulation (1993)On the spectral representation method in …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 …Simulation of Multivariate and Multidimensional Random Processes (1971)Simulation of Multivariate an…Simulation of Nonstationary Random Process (1967)Simulation of Nonstationary R…The Spectral Representation Method: A framework for simulation of stochastic processes, fields, and waves (2024)The Spectral Representation M…Stochastic modeling of geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries (2021)Stochastic modeling of geomet…Uncertainty Quantification of Random Fields Based on Spatially Sparse Data by Synthesizing Bayesian Compressive Sensing and Stochastic Harmonic Function (2020)Uncertainty Quantification of…Large scale random fields generation using localized Karhunen–Loève expansion (2018)Large scale random fields gen…Stochastic buckling behaviour of laminated composite structures with uncertain material properties (2017)Stochastic buckling behaviour…Simulation of Stochastic Processes by Sinc Basis Functions and Application in TELM Analysis (2017)Simulation of Stochastic Proc…Hybrid uncertain natural frequency analysis for structures with random and interval fields (2017)Hybrid uncertain natural freq…Equivalent Linearization Methods for Stochastic Dynamic Analysis Using Linear Response Surfaces (2017)Equivalent Linearization Meth…An efficient binning scheme with application to statistical crack mechanics (2015)An efficient binning scheme w…Sensitivity analysis of complex models: Coping with dynamic and static inputs (2014)Sensitivity analysis of compl…Stochastic joint time–frequency response analysis of nonlinear structural systems (2013)Stochastic joint time–frequen…Accurate estimation of evolutionary power spectra for strongly narrow-band random fields (2009)Accurate estimation of evolut…Comparison between Karhunen?Loeve and wavelet expansions for simulation of Gaussian processes (2004)Comparison between Karhunen?L…A spectral representation based model for Monte Carlo simulation (2000)A spectral representation bas…Importance sampling for first passage problems of nonlinear structures (1999)Importance sampling for first…Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Discretization of 2D random fields: A genetic algorithm approach (2009)A sample-based iterative scheme for simulating non-stationary non-Gaussian stochastic processes (2020)Simulating strongly non-Gaussian and non-stationary processes using Karhunen–Loève expansion and L-moments-based Hermite polynomial model (2021)Simulation and the Monte Carlo Method (1981)Spectral Representation for a Class of Non-Gaussian Processes (2004)Simulation and the Monte Carlo Method (2016)Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions (2021)Simulation of 4th-order non-Gaussian random processes by higher-order spectral representation method (2023)Stochastic Finite Elements: A Spectral Approach (1991)The stochastic finite element method: Past, present and future (2008)Stochastic meshfree method for elastic buckling analysis of columns (2017)Stochastic bending and buckling analysis of laminated composite plates using Latin hypercube sampling (2021)Stochastic isogeometric buckling analysis of composite shell considering multiple uncertainties (2022)On Latin hypercube sampling for structural reliability analysis (2002)Time response of structure with interval and random parameters using a new hybrid uncertain analysis method (2018)Generalization of non-intrusive imprecise stochastic simulation for mixed uncertain variables (2019)Random model with fuzzy distribution parameters for hybrid uncertainty propagation in engineering systems (2019)Random data: Analysis and measurement procedures (1987)Error-informed parallel adaptive Kriging method for time-dependent reliability analysis (2025)Monte Carlo solution of structural dynamics (1972)Simulation of Stationary Gaussian Processes in [0, 1]d (1994)An Introduction to Computational Stochastic PDEs (2014)Simulation of Ergodic Multivariate Stochastic Processes (1996)Fast Numerical Methods for Stochastic Computations: A Review (2009)Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process (2015)Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process (2021)First excursion probability of dynamical systems: A review on computational methods (2025)Markov Approximation to Transient Vibration (1983)The effect of material and thickness variability on the buckling load of shells with random initial imperfections (2004)Reliability-based design optimization of reinforced concrete structures including soil–structure interaction using a discrete gravitational search algorithm and a proposed metamodel (2012)
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
  • 1971Simulation of Multivariate and Multidimensional Random Processes659 cited
  • 1967Simulation of Nonstationary Random Process342 cited

Cited by

  • 2004Comparison between Karhunen?Loeve and wavelet expansions for simulation of Gaussian processes50 cited
  • 2024The Spectral Representation Method: A framework for simulation of stochastic processes, fields, and waves47 cited
  • 1999Importance sampling for first passage problems of nonlinear structures45 cited
  • 2017Stochastic buckling behaviour of laminated composite structures with uncertain material properties43 cited
  • 2017Hybrid uncertain natural frequency analysis for structures with random and interval fields35 cited
  • 2000A spectral representation based model for Monte Carlo simulation33 cited
  • 2020Uncertainty Quantification of Random Fields Based on Spatially Sparse Data by Synthesizing Bayesian Compressive Sensing and Stochastic Harmonic Function30 cited
  • 2013Stochastic joint time–frequency response analysis of nonlinear structural systems28 cited
  • 2014Sensitivity analysis of complex models: Coping with dynamic and static inputs28 cited
  • 2017Simulation of Stochastic Processes by Sinc Basis Functions and Application in TELM Analysis

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26 cited
  • 2009Accurate estimation of evolutionary power spectra for strongly narrow-band random fields26 cited
  • 2021Stochastic modeling of geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries25 cited
  • 2018Large scale random fields generation using localized Karhunen–Loève expansion21 cited
  • 2017Equivalent Linearization Methods for Stochastic Dynamic Analysis Using Linear Response Surfaces19 cited
  • 2015An efficient binning scheme with application to statistical crack mechanics12 cited