Results 181 to 188 of about 720 (188)
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Decoupling power system state estimation by means of stochastic collocation
2010 IEEE Instrumentation & Measurement Technology Conference Proceedings, 2010This paper presents a new approach to the problem of system decoupling in a power-system state estimation problem. The complexity of power systems is growing, thus challenging the way measurements for state estimation are traditionally managed. Following a previous experience in defining a decentralized solution for state estimation, the authors here ...
Andrea Benigni +5 more
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ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS
Mathematical Models and Methods in Applied Sciences, 2012In this work we focus on the numerical approximation of the solution u of a linear elliptic PDE with stochastic coefficients. The problem is rewritten as a parametric PDE and the functional dependence of the solution on the parameters is approximated by multivariate polynomials.
Beck, Joakim +3 more
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Application of collocation method to stochastic conservation laws
2017In this chapter we demonstrate how to apply the methods we presented in the previous chapters to stochastic nonlinear conservations laws. Specifically, since the problem is nonlinear we apply the stochastic collocation method (SCM) using Smolyak’s sparse grid for a one-dimensional piston problem and test its computational performance.
Zhongqiang Zhang, George Em Karniadakis
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On the Various Applications of Stochastic Collocation in Computational Electromagnetics
2018The application of deterministic-stochastic models in some areas of computational electromagnetics is presented. Namely, in certain problems there is an uncertainty in the input data set as some system properties are partly or entirely unknown. Thus, a simple stochastic collocation (SC) method is used to determine the relevant statistics about the ...
Dragan Poljak +7 more
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Stochastic Collocation Method for Uncertainty Propagation
AIAA Guidance, Navigation, and Control Conference, 2012Bin Jia, Sheng Cai, Yang Cheng, Ming Xin
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