In practical geotechnical engineering of slopes, it is well-known that the uncertainty of soil
properties and ground motions need to be considered for the safety of the project. The effect …

In the stochastic dynamic analysis of nonlinear structures, the strategy of point selection
plays a critical role in achieving the tradeoffs between the accuracy and efficiency. To this …

The multiple uncertainties of soil properties and ground motions significantly affect the
seismic response of high concrete face rockfill dams (CFRDs). Three types of randomness …

The main purpose of this book is to give an overview of the developments during the last 20
years in the theory of uniformly distributed sequences. The authors focus on various aspects …

This paper aims to give an overview and summary of numerical methods for the solution of
stochastic differential equations. It covers discrete time strong and weak approximation …

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The Halton sequence is a well-known multi-dimensional low-discrepancy sequence. In this
paper, we propose a new method for randomizing the Halton sequence. This randomization …

Quasi-Monte Carlo (QMC) methods are successfully used for high-dimensional integrals
arising in many applications. To understand this success, the notion of effective dimension …

To improve the efficiency of random vibration analysis of the train–bridge system, a new
approach is proposed based on the adaptive sampling (AS) surrogate model in this paper …

This paper proposes a fully adaptive method to estimate the probability density function
(PDF) of the responses for stochastic structures under static and dynamic loads. The PDF is …