Path Integrals in Stochastic Engineering Dynamics

Path Integrals in Stochastic Engineering Dynamics

by Ioannis A. KougioumtzoglouApostolos F. Psaros and Pol D. Spanos
Epub (Kobo), Epub (Adobe)
Publication Date: 06/06/2024

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This book organizes and explains, in a systematic and pedagogically effective manner, recent advances in path integral solution techniques with applications in stochastic engineering dynamics. It fills a gap in the literature by introducing to the engineering mechanics community, for the first time in the form of a book, the Wiener path integral as a potent uncertainty quantification tool. Since the path integral flourished within the realm of quantum mechanics and theoretical physics applications, most books on the topic have focused on the complex-valued Feynman integral with only few exceptions, which present path integrals from a stochastic processes perspective. Remarkably, there are only few papers, and no books, dedicated to path integral as a solution technique in stochastic engineering dynamics. Summarizing recently developed techniques, this volume is ideal for engineering analysts interested in further establishing path integrals as an alternative potent conceptual and computational vehicle in stochastic engineering dynamics.

ISBN:
9783031578632
9783031578632
Category:
Cybernetics & systems theory
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
06-06-2024
Language:
English
Publisher:
Springer Nature Switzerland

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