Results 111 to 120 of about 1,606 (214)

Polynomial Chaos Expansion for general multivariate distributions with correlated variables

, 2014
Recently, the use of Polynomial Chaos Expansion (PCE) has been increasing to study the uncertainty in mathematical models for a wide range of applications and several extensions of the original PCE technique have been developed to deal with some of its limitations.
Navarro, Maria, Witteveen, Jeroen, Blom, Joke   +2 more
openaire   +2 more sources

Identification of multi-modal random variables through mixtures of polynomial chaos expansions

, 2010
To appear in Comptes-Rendus Mécanique, doi:10.1016/j.crme.2010.09.003International audienceA methodology is introduced for the identification of a multi-modal real-valued random variable from a collection of samples.
Nouy, Anthony, Anthony Nouy
core   +1 more source

Solving stationary diffusion problems with random coefficients by generalized polynomial chaos [PDF]

, 2013
Zufällige partielle Differentialgleichungen werden genutzt, um komplexe Systeme in Natur, Physik oder Technik realitätsnäher zu modellieren. In dieser Arbeit wird speziell das stationäre Diffusionsproblem mit zufälligem Koeffizient als lehrreiches ...
Mugler, Antje
core  

Uncertainty propagation combining robust condensation and generalized polynomial chaos expansion

, 2015
International audienceAmong probabilistic uncertainty propagation methods, the generalized Polynomial Chaos Expansion (gPCE) has recently shown a growing emphasis.
Guedri, Mohamed, Kacem, Najib, Chikhaoui, Khaoula, Bouhaddi, Noureddine   +3 more
core  

Parametric Design Optimization of Uncertain Ordinary Differential Equation Systems

, 2011
This work presents a novel optimal design framework that treats uncertain dynamical systems described by ordinary differential equations. Uncertainty in multibody dynamical systems comes from various sources, such as: system parameters, initial ...
Hong, Dennis, Corina Sandu, Hays, Joe, Dennis Hong, Adrian Sandu, Joe Hays, Sandu, Corina, Sandu, Adrian   +7 more
core   +1 more source

Projection schemes for stochastic partial differential equations

, 2009
The focus of the present work is to develop stochastic reduced basis methods (SRBMs) for solving partial differential equations (PDEs) defined on random domains and nonlinear stochastic PDEs (SPDEs).
Prerapa, Surya Mohan
core  

Cost reduction of stochastic Galerkin method by adaptive identification of significant polynomial chaos bases for elliptic equations

, 2018
One widely used and computationally efficient method for uncertainty quantification using spectral stochastic finite element is the stochastic Galerkin method.
Srikara Pranesh, Debraj Ghosh, Pranesh, Srikara, Ghosh, Debraj   +3 more
core   +1 more source

Uncertainty Analysis Method of Physical-thermal Coupling Based on preCICE

Yuanzineng kexue jishu
In nuclear reactor systems, precise core modeling and uncertainty assessment are of critical importance for enhancing reactor safety, optimizing design margins, and advancing the development of next-generation reactor technologies. Existing multi-physics
ZHAO Ziyan, DONG Shihao, ZHAO Pengcheng, LIU Zijing, LI Wei
doaj   +1 more source

An efficient polynomial chaos-based proxy model for history matching and uncertainty quantification of complex geological structures [PDF]

, 2014
A novel polynomial chaos proxy-based history matching and uncertainty quantification method is presented that can be employed for complex geological structures in inverse problems.
Bazargan, Hamid, Hamid Bazargan
core  

A Day-Ahead Economic Dispatch Method for Renewable Energy Systems Considering Flexibility Supply and Demand Balancing Capabilities

Energies
The increase in new energy grid connections has reduced the supply-side regulation capability of the power system. Traditional economic dispatch methods are insufficient for addressing the flexibility limitations in the system’s balancing capabilities ...
Zheng Yang, Wei Xiong, Pengyu Wang, Nuoqing Shen, Siyang Liao   +4 more
doaj   +1 more source