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Riemannian geometry in thermodynamic fluctuation theory
Although thermodynamic fluctuation theory originated from statistical mechanics, it may be
put on a completely thermodynamic basis, in no essential need of any microscopic …
put on a completely thermodynamic basis, in no essential need of any microscopic …
Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE
In this paper a recently developed technique relying on the globally-evolving-based
generalized density evolution equation (GE-GDEE) is extended. It is applied to determining …
generalized density evolution equation (GE-GDEE) is extended. It is applied to determining …
[ספר][B] Stochastic dynamics of structures
In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and
techniques for stochastic dynamics analysis, prediction of reliability, and system control of …
techniques for stochastic dynamics analysis, prediction of reliability, and system control of …
[ספר][B] Nonlinear Fokker-Planck equations: fundamentals and applications
TD Frank - 2005 - books.google.com
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …
discusses fundamental properties of transient and stationary solutions, emphasizing the …
A state-of-the-art report on computational stochastic mechanics
This state-of-the-art report assesses the current state of development of computational
procedures as utilized in stochastic mechanics. The theoretical developments and aspects …
procedures as utilized in stochastic mechanics. The theoretical developments and aspects …
Efficient path integration methods for nonlinear dynamic systems
New approaches for numerical implementation of the path integration (PI) method are
described. In essence the PI method is a stepwise calculation of the joint probability density …
described. In essence the PI method is a stepwise calculation of the joint probability density …
Discrete singular convolution for the solution of the Fokker–Planck equation
This paper introduces a discrete singular convolution algorithm for solving the Fokker–
Planck equation. Singular kernels of the Hilbert-type and the delta type are presented for …
Planck equation. Singular kernels of the Hilbert-type and the delta type are presented for …
An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators
A novel approximate analytical technique for determining the non-stationary response
probability density function (PDF) of a class of randomly excited nonlinear oscillators is …
probability density function (PDF) of a class of randomly excited nonlinear oscillators is …
Response statistics of nonlinear, compliant offshore structures by the path integral solution method
The paper investigates the applicability of the path integral solution method for calculating
the response statistics of nonlinear dynamic systems whose equations of motion can be …
the response statistics of nonlinear dynamic systems whose equations of motion can be …
Cluster dynamics simulation of uranium self-diffusion during irradiation in UO2
As fission fragments pass through UO 2 nuclear fuel, a considerable concentration of
Frenkel pair defects (ie vacancies and interstitials) are created. The steady-state …
Frenkel pair defects (ie vacancies and interstitials) are created. The steady-state …