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

Quantitative analysis and optimal design under uncertainty are active research areas in
modern engineering structures and systems. A metamodel, as an effective mathematical …

Polynomial chaos expansion (PCE) is a widely used approach for establishing the surrogate
model of a time-consuming performance function for the convenience of uncertainty …

Polynomial chaos expansion (PCE) has recently drawn growing attention in the community
of stochastic uncertainty quantification (UQ). However, the drawback of the curse of …

Polynomial chaos expansion (PCE) is a powerful method for building a surrogate model that
can be applied to assist reliability analysis. Generally, a PCE model with a higher expansion …

Kriging is a powerful surrogate method for fitting smooth functions, and has been widely
used in uncertainty quantification. However, for non-smooth functions, the performance of …

The development of polymer nanocomposites has emerged as a promising approach for
achieving higher-density energy storage. However, challenges in directly characterizing the …

Polynomial dimensional decomposition (PDD) is a surrogate method originated from the
ANOVA (analysis of variance) decomposition, and has shown powerful performance in …

Uncertainty about the occurrence of extreme precipitation events has increased significantly
under global climate change. The Hanjiang River Basin (HRB) is located at the junction of …

Disorders of coronary arteries lead to severe health problems such as atherosclerosis,
angina, heart attack and even death. Considering the clinical significance of coronary …