This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …

Monte Carlo methods have attracted constant and even increasing attention in structural
reliability analysis with a wide variety of developments seamlessly presented over decades …

Prognostics aims at determining whether a failure of an engineered system (eg, a nuclear
power plant) is impending and estimating the remaining useful life (RUL) before the failure …

A primary concern in practical engineering design is ensuring high system reliability
throughout a product's lifecycle, which is subject to time-variant operating conditions and …

Most engineered systems are designed with a passive and fixed design capacity and,
therefore, may become unreliable in the presence of adverse events. Currently, most …

A computational methodology is developed to address the solution of high-dimensional
stochastic problems. It utilizes high-dimensional model representation (HDMR) technique in …

Time-variant reliability measures the probability that an engineering system successfully
performs intended functions over a certain period of time under various sources of …

Dynamic reliability measures reliability of an engineered system considering time-variant
operation condition and component deterioration. Due to high computational costs …

Although a variety of uncertainty propagation methods exist for estimating the statistical
moments and the probability of failure in design under uncertainty, current methods suffer …

Time-variant reliability analysis aims at revealing the time evolution of the reliability of an
engineered system under time-dependent uncertainties that are best described by random …