Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields

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The stochastic finite element method: Past, present and future (2009, methodology): “A comprehensive comparison between the spectral representation and K–L expansion methods can be found in [83,88,174] where it is shown that strongly correlated stochastic fields with smooth autocovariance function may be easier to simulate with the K–L expansion when using a small number of terms N(”
Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme (2014, background): “For a more detailed in-depth overview over algorithms for generating non-Gaussian random fields, the reader is referred to (Bocchini and Deodatis 2008) and (Stefanou and Papadrakakis 2007).”
Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014, methodology): “Moreover, as pointed out in [9], the truncated KL expansion of homogeneous random fields is”