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Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme

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References

2001Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes466 cited
2002Simulation of second-order processes using Karhunen–Loeve expansion269 cited

Cited by

2005Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion259 cited
2006Collocation-based stochastic finite element analysis for random field problems182 cited
2014Modified linear estimation method for generating multi-dimensional multi-variate Gaussian field in modelling material properties151 cited
2011Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination147 cited
2014Practical Application of the Stochastic Finite Element Method144 cited
2007Simulation of simply cross correlated random fields by series expansion methods143 cited
2004On the accuracy of the polynomial chaos approximation140 cited
2007Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel131 cited
2007Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields126 cited
2019Simulation of non-stationary non-Gaussian random fields from sparse measurements using Bayesian compressive sampling and Karhunen-Loève expansion120 cited
2018An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion

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100 cited

2017Simulation of multi-dimensional random fields by Karhunen–Loève expansion99 cited

2018An interval finite element method for the analysis of structures with spatially varying uncertainties77 cited

2003Simulation of non-Gaussian processes using fractile correlation72 cited

2018Structural reliability and stochastic finite element methods51 cited

2004Comparison between Karhunen?Loeve and wavelet expansions for simulation of Gaussian processes50 cited