Path Integrals in Stochastic Engineering Dynamics

Ioannis A. Kougioumtzoglou

ISBN 10: 3031578627 / ISBN 13: 9783031578625

Editore: Springer Nature Switzerland, Springer Nature Switzerland, 2024

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - This book organizes and explains, in a systematic and pedagogicallyeffective 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.

Codice articolo 9783031578625

Dati bibliografici

• Titolo: Path Integrals in Stochastic Engineering Dynamics
• Editore: Springer Nature Switzerland, Springer Nature Switzerland
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 3031578627
• ISBN 13: 9783031578625
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 18 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 18 millimetri di profondità
• Peso: 580 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Dr. Ioannis A. Kougioumtzoglou is an Associate Professor, Department of Civil Engineering and Engineering Mechanics, Columbia University, NY; Dr. Apostolos F. Psaros is a Post-Doctoral Researcher, Department of Civil Engineering and Engineering Mechanics, Columbia University, NY; and Dr. Pol D. Spanos is the L. B. Ryon Professor in Mechanical and Civil Engineering, Rice University, Texas, USA