Path Integrals in Stochastic Engineering Dynamics

Ioannis A. Kougioumtzoglou

• 06 juni 2024
• 9783031578625

Samenvatting:

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.

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.

• Organizes and presents in a systematic manner recent advances in Wiener path integral solution techniques;
• Establishes Wiener path integrals as a potent conceptual and computational vehicle in stochastic engineering dynamics;
• Discusses diverse applications in emerging/transformative technologies, such as nano-mechanics and energy harvesting.