A review of theoretical concepts and diverse applications of sparse representations and
compressive sampling (CS) approaches in engineering mechanics problems is provided …

In this paper, the widely known path integral method, derived from the application of the
Chapman–Kolmogorov equation, is described in details and discussed with reference to the …

A Wiener path integral variational formulation with free boundaries is developed for
determining the stochastic response of high-dimensional nonlinear dynamical systems in a …

The present work addresses the issue of accurate stochastic approximations in high-
dimensional parametric space using tools from uncertainty quantification (UQ). The basis …

Ever-increasing computational capabilities, novel signal processing techniques, advanced
experimental setups, and progress in emerging and transformative technologies (eg, nano …

Stochastic response analysis of nonlinear high-dimensional systems subjected to random
excitations is a challenging issue in various engineering fields. The newly developed …

A methodology based on the Wiener path integral (WPI) technique is developed for
stochastic response determination and reliability-based design optimization of a class of …

The Wiener path integral (WPI) approximate semi-analytical technique for determining the
joint response probability density function (PDF) of stochastically excited nonlinear …

A novel Wiener path integral (WPI) technique is developed for determining the response of
stochastically excited nonlinear oscillators. This is done by employing functional series …

An analytical method for determining stochastic response and survival probability of
nonlinear oscillators endowed with fractional element and subjected to evolutionary …