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Reliability Engineering and System Safety, ISSN 0951-8320, 2008, Volume 93, Issue 7, pp. 964 - 979
Journal Article
IEEE Transactions on Power Systems, ISSN 0885-8950, 01/2017, Volume 32, Issue 1, pp. 820 - 821
An analytical method based on generalized polynomial chaos (gPC) is proposed for probabilistic load flow (PLF). The method preserves the nonlinearity of power... 
Chaos | Probabilistic load flow | Power system dynamics | Probabilistic logic | generalized polynomial chaos | Galerkin method | Random variables | Mathematical model | Load flow | orthogonal polynomials | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 06/2018, Volume 335, pp. 242 - 269
It is well-known that sparse grid algorithm has been widely accepted as an efficient tool to overcome the “curse of dimensionality” in some degree. In this... 
Generalized polynomial chaos | Spectral method | Differential equations with random inputs | Hyperbolic cross approximation | MATHEMATICS, APPLIED | SPARSE | UNCERTAINTY | Differential equations
Journal Article
International Journal of Control: Model Predictive Control: algorithmic development and applications, ISSN 0020-7179, 08/2013, Volume 86, Issue 8, pp. 1324 - 1337
Journal Article
Engineering Fracture Mechanics, ISSN 0013-7944, 02/2019, Volume 206, pp. 375 - 391
Journal Article
PLOS COMPUTATIONAL BIOLOGY, ISSN 1553-7358, 08/2019, Volume 15, Issue 8, p. e1007308
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 06/2016, Volume 97, pp. 289 - 300
Journal Article
Computers and Chemical Engineering, ISSN 0098-1354, 07/2016, Volume 90, pp. 23 - 30
[Display omitted] •A gPC based approach was applied to uncertainty quantification of complex chemical processes.•The proposed gPC method was compared with the... 
Generalized polynomial chaos | Uncertainty quantification | Sensitivity analysis | Process uncertainty | Monte-Carlo approach | ENGINEERING, CHEMICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SYSTEMS | Control systems | Analysis | Design engineering | Uncertainty | Monte Carlo methods | Computer simulation | Chaos theory | Polynomials | Design analysis
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 05/2017, Volume 115, pp. 16 - 31
In this paper, the generalized polynomial chaos (gPC) method is extended to solve nonlinear random delay differential equations (NRDDEs). The error estimation... 
Generalized polynomial chaos | Nonlinear random delay differential equations | Numerical experiments | Error estimation | Finite dimensional noise | equations | MATHEMATICS, APPLIED | STOCHASTIC COLLOCATION METHOD | RUNGE-KUTTA METHODS | STABILITY | D-CONVERGENCE | Nonlinear random delay differential | Differential equations
Journal Article
International Journal of Mechanical Sciences, ISSN 0020-7403, 12/2017, Volume 134, pp. 75 - 84
•An analytical formulation and numerical implementation of the response of coupled structure-acoustic system were performed.•A probabilistic analysis is... 
Generalized polynomial chaos | Uncertainty | Coupling fluid-structure | Optimum safety factor | Reliability based design optimization | Uncertainty Generalized polynomial chaos | EXPANSIONS | POWER | EXTENSION | ENGINEERING, MECHANICAL | MODES | MECHANICS | ROBUST | PART | FREQUENCY | UNCERTAINTY | FINITE-ELEMENT-METHOD | PROPAGATION
Journal Article
International Journal of Fracture, ISSN 0376-9429, 9/2019, Volume 219, Issue 1, pp. 123 - 134
Journal Article