Path Integrals 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...
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| Autors principals: | , , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edició: | 1st ed. 2024. |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-57863-2 |
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Taula de continguts:
- Introduction
- Wiener path integral formalism
- Linear systems under Gaussian white noise excitation: exact closed form solutions
- Nonlinear systems under Gaussian white noise excitation
- Nonlinear systems under non-white, non-Gaussian and non-stationary excitation
- Nonlinear systems with singular diffusion matrices: a broad perspective including hysteresis modeling
- High-dimensional nonlinear systems: circumventing the curse of dimensionality via a reduced-order formulation
- Efficient numerical implementation strategies via sparse representations and compressive sampling
- An enhanced quadratic Wiener path integral approximation with applications to nonlinear system reliability assessment
- Epilogue.