Results 101 to 110 of about 1,606 (214)

Calculation of Generalized Polynomial-Chaos Basis Functions and Gauss Quadrature Rules in Hierarchical Uncertainty Quantification

open access: yes, 2014
Stochastic spectral methods are efficient techniques for uncertainty quantification. Recently they have shown excellent performance in the statistical analysis of integrated circuits.
Daniel, Luca   +3 more
core   +1 more source

Regularity and generalized polynomial chaos approximation of parametric and random second-order hyperbolic partial differential equations

open access: yes, 2012
Initial boundary value problems of linear second-order hyperbolic partial differential equations whose coefficients depend on countably many random parameters are reduced to a parametric family of deterministic initial boundary value problems on an ...
Schwab, Christoph., Hoang, Viet Ha.
core   +1 more source

Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique [PDF]

open access: yes, 2017
[EN] Generalized polynomial chaos (gPC) is a spectral technique in random space to represent random variables and stochastic processes in terms of orthogonal polynomials of the Askey scheme.
M.-D. Roselló   +7 more
core   +1 more source

Uncertainty Quantification for a Blood Pump Device with Generalized Polynomial Chaos Expansion [PDF]

open access: yes, 2018
Nowadays, an increasing number of numerical modeling techniques, notably by means of the finite element method (FEM), are involved in the industrial design process and play a vital role in the area of the biomedical engineering. Particularly, the computational fluid dynamics (CFD) has become a promising tool for investigating the fluid behavior and has
openaire   +2 more sources

Quantification of uncertainties in a distributed parameter system using the generalized polynomial chaos expansion

open access: yes, 2015
S.25-40In many fields, active research is currently focused on quantification and simulation of model uncertainties. The latter are often described probabilistically, allowing for the accurate and detailed answers but necessitating extensive computations.
Janya-anurak, C.
core   +1 more source

Generalized Polynomial Chaos for Non-intrusive Uncertainty Quantification in Computational Fluid Dynamics

open access: yes, 2018
International audienceThis chapter is concerned with the construction of polynomial surrogates of complex configurations arising in computational fluid dynamics for the purpose of propagating uncertainties pertaining to geometrical and/or operational ...
Couaillier, Vincent, Savin, Eric
core   +1 more source

A non-linear and stochastic response surface method for Bayesian estimation of uncertainty in soil moisture simulation from a land surface model [PDF]

open access: yesNonlinear Processes in Geophysics, 2004
This study presents a simple and efficient scheme for Bayesian estimation of uncertainty in soil moisture simulation by a Land Surface Model (LSM). The scheme is assessed within a Monte Carlo (MC) simulation framework based on the Generalized Likelihood ...
F. Hossain, E. N. Anagnostou, K.-H. Lee
doaj  

Solving Continuous Models with Dependent Uncertainty: A Computational Approach

open access: yesAbstract and Applied Analysis, 2013
This paper presents a computational study on a quasi-Galerkin projection-based method to deal with a class of systems of random ordinary differential equations (r.o.d.e.’s) which is assumed to depend on a finite number of random variables (r.v.’s).
J.-C. Cortés   +4 more
doaj   +1 more source

Publication Only

open access: yes
HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Computational analysis and chaos control of the fractional order syphilis disease model through modeling

open access: yesAin Shams Engineering Journal
In this paper, we present a dynamic model of syphilis. The goal of this work is to provide a mathematical model for syphilis disease that contains information about the suspect, infected, recovered, and exposed.
Muhammad Farman   +5 more
doaj   +1 more source

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