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    Functional Series Expansions and Quadratic Approximations for Enhancing the Accuracy of the Wiener Path Integral Technique 

    Source: Journal of Engineering Mechanics:;2020:;Volume ( 146 ):;issue: 007
    Author(s): Apostolos F. Psaros; Ioannis A. Kougioumtzoglou
    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 ...
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    A Wiener Path Integral Formalism for Treating Nonlinear Systems with Non-Markovian Response Processes 

    Source: Journal of Engineering Mechanics:;2023:;Volume ( 149 ):;issue: 001:;page 04022092-1
    Author(s): Ilias G. Mavromatis; Apostolos F. Psaros; Ioannis A. Kougioumtzoglou
    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 ...
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    Quartic Wiener Path Integral Approximation for Stochastic Response Determination of Nonlinear Systems 

    Source: Journal of Engineering Mechanics:;2025:;Volume ( 151 ):;issue: 005:;page 04025010-1
    Author(s): Yuanjin Zhang; Apostolos F. Psaros; Ioannis A. Kougioumtzoglou
    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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