[PDF][PDF] Fast numerical methods for stochastic computations: a review

D Xiu - Communications in computational physics, 2009 - ece.uvic.ca
This paper presents a review of the current state-of-the-art of numerical methods for
stochastic computations. The focus is on efficient high-order methods suitable for practical …

Modelling of suspension components in a rail vehicle dynamics context

S Bruni, J Vinolas, M Berg, O Polach… - Vehicle system …, 2011 - Taylor & Francis
Suspension components play key roles in the running behaviour of rail vehicles, and
therefore, mathematical models of suspension components are essential ingredients of …

[HTML][HTML] A Chebyshev interval method for nonlinear dynamic systems under uncertainty

J Wu, Y Zhang, L Chen, Z Luo - Applied Mathematical Modelling, 2013 - Elsevier
This paper proposes a new interval analysis method for the dynamic response of nonlinear
systems with uncertain-but-bounded parameters using Chebyshev polynomial series …

Nonlinear propagation of orbit uncertainty using non-intrusive polynomial chaos

BA Jones, A Doostan, GH Born - Journal of Guidance, Control, and …, 2013 - arc.aiaa.org
This paper demonstrates the use of polynomial chaos expansions for the nonlinear, non-
Gaussian propagation of orbit state uncertainty. Using linear expansions in tensor products …

Stochastic testing method for transistor-level uncertainty quantification based on generalized polynomial chaos

Z Zhang, TA El-Moselhy, IM Elfadel… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Uncertainties have become a major concern in integrated circuit design. In order to avoid the
huge number of repeated simulations in conventional Monte Carlo flows, this paper presents …

Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions

J Wu, Z Luo, Y Zhang, N Zhang… - International Journal for …, 2013 - Wiley Online Library
This study proposes a new uncertain analysis method for multibody dynamics of mechanical
systems based on Chebyshev inclusion functions The interval model accounts for the …

Theoretical modeling and numerical solution methods for flexible multibody system dynamics

B Rong, X Rui, L Tao, G Wang - Nonlinear Dynamics, 2019 - Springer
Flexible multibody system dynamics (MSD) is one of the hot spots and difficulties in modern
mechanics. It provides a powerful theoretical tool and technical support for dynamic …

Propagating uncertainty in power system dynamic simulations using polynomial chaos

Y Xu, L Mili, A Sandu… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Quantifying the uncertainty of the renewable energy generation units and loads is critical to
ensure the dynamic security of next-generation power systems. To achieve that goal, the …

Modeling multibody systems with uncertainties. Part II: Numerical applications

C Sandu, A Sandu, M Ahmadian - Multibody System Dynamics, 2006 - Springer
This study applies generalized polynomial chaos theory to model complex nonlinear
multibody dynamic systems operating in the presence of parametric and external …

A polynomial chaos approach to the analysis of vehicle dynamics under uncertainty

G Kewlani, J Crawford, K Iagnemma - Vehicle system dynamics, 2012 - Taylor & Francis
The ability of ground vehicles to quickly and accurately analyse their dynamic response to a
given input is critical to their safety and efficient autonomous operation. In field conditions …