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 …

The recent success of the radial basis function neural networks (RBFNN) method for random
vibration analysis of smooth systems fuels in speculations that this approach may be …

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

A technique based on the concept of Wiener path integral (WPI) is developed for
determining approximately the joint response probability density function (PDF) of nonlinear …

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

Abstract The recently developed Wiener Path Integral (WPI) technique for determining the
joint response probability density function of nonlinear systems subject to Gaussian white …

A novel approximate technique based on Wiener path integrals (WPIs) is developed for
determining, in a computationally efficient manner, the non-stationary joint response …

In this work we propose the Step Matrix Multiplication based Path Integration method (SMM-
PI) for nonlinear vibro-impact oscillator systems. This method allows the efficient and …

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