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Functional Series Expansions and Quadratic Approximations for Enhancing the Accuracy of the Wiener Path Integral Technique
Publisher: ASCE
Abstract: 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 expansions in conjunction with quadratic ...
A Wiener Path Integral Formalism for Treating Nonlinear Systems with Non-Markovian Response Processes
Publisher: American Society of Civil Engineers
Abstract: A novel formalism of the Wiener path integral (WPI) technique for determining the stochastic response of diverse dynamical systems is developed. It can be construed as a generalization of earlier efforts to account, in a ...
Quartic Wiener Path Integral Approximation for Stochastic Response Determination of Nonlinear Systems
Publisher: American Society of Civil Engineers
Abstract: A novel Wiener path integral (WPI) technique exhibiting an enhanced degree of accuracy is developed for determining the stochastic response of nonlinear structural systems. Specifically, first, the system response joint ...
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