The geometry of random vibrations and solutions by FORM and SORM

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Comparison of finite element reliability methods (2002, unknown): “[31] for an application in dynamics.”
First excursion probabilities for linear systems by very efficient importance sampling (2001, background): “This fact has been appreciated in a recent work by Der Kiureghian [36].”
Polynomial chaos for the approximation of uncertainties: Chances and limits (2008, methodology): “Among the most established methods are FORM (First Order Reliability Method) and SORM (Second Order Reliability Method), based on Taylor approximations of the failure function in the point of highest failure probability, see [3, 17, 18, 21, 43].”
Analytical derivation of the outcrossing rate in time-variant reliability problems (2008, background): “The idea has been further investigated by Li and Der Kiureghian (1995); Der Kiureghian (2000) in the context of random vibrations, and by Der Kiureghian and Zhang (1999) inthe context of space-variant finite element reliability.”
The PHI2 method: a way to compute time-variant reliability (2004, background): “The EOLE expansion is computed by a Matlab routine as presented in Sudret and Der Kiureghian [28], which can be downloaded at http://www.ce.berkeley.edu/~haukaas under the item FERUM.”
A stochastic ground motion model with separable temporal and spectral nonstationarities (2008, background): “The form in (11) has interesting geometric interpretations [30].”