Path Integrals in Stochastic Engineering Dynamics
portes grátis
Path Integrals in Stochastic Engineering Dynamics
Spanos, Pol D.; Psaros, Apostolos F.; Kougioumtzoglou, Ioannis A.
Springer International Publishing AG
06/2024
228
Dura
9783031578625
15 a 20 dias
Descrição não disponível.
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.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Wiener path integral;stochastic engineering dynamics;stochastic mechanics;uncertainty quantification;theoretical physics
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.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
