Results 81 to 90 of about 31,846 (223)

Polynomial Chaos Expansion of a Multimodal Random Vector [PDF]

SIAM/ASA Journal on Uncertainty Quantification, 2015
A methodology and algorithms are proposed for constructing the polynomial chaos expansion (PCE) of multimodal random vectors. An algorithm is developed for generating independent realizations of any multimodal multivariate probability measure that is constructed from a set of independent realizations using the Gaussian kernel-density estimation method.
openaire   +2 more sources

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley   +1 more source

Robustness Analysis of the Collective Nonlinear Dynamics of a Periodic Coupled Pendulums Chain

Applied Sciences, 2017
Perfect structural periodicity is disturbed in presence of imperfections. The present paper is based on a realistic modeling of imperfections, using uncertainties, to investigate the robustness of the collective nonlinear dynamics of a periodic coupled ...
Khaoula Chikhaoui, Diala Bitar, Najib Kacem, Noureddine Bouhaddi   +3 more
doaj   +1 more source

Addressing ecological challenges from a quantum computing perspective

Methods in Ecology and Evolution, Volume 17, Issue 3, Page 632-649, March 2026.
Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet, Maxime Dion, F. Guillaume Blanchet   +2 more
wiley   +1 more source

Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics

Mechanical systems and signal processing, 2020
Uncertainty quantification (UQ) and global sensitivity analysis (GSA) of dynamic characteristics of complex systems subjected to uncertainty are jointly investigated in this paper. An efficient approach based on arbitrary polynomial chaos expansion (aPCE)
H. Wan, W. Ren, M. Todd
semanticscholar   +1 more source

Simulation of Stochastic Quantum Systems Using Polynomial Chaos Expansions

Physical Review Letters, 2013
We present an approach to the simulation of quantum systems driven by classical stochastic processes that is based on the polynomial chaos expansion, a well-known technique in the field of uncertainty quantification. The polynomial chaos expansion represents the system density matrix as a series of orthogonal polynomials in the principle components of ...
Young, Kevin C., Grace, Matthew D.
openaire   +4 more sources

Efficient Gradient‐Enhanced Bayesian Optimizer with Comparisons to Conjugate‐Gradient and Quasi‐Newton Optimizers for Unconstrained Local Optimization

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT The probabilistic surrogates used by Bayesian optimizers make them popular methods when function evaluations are noisy or expensive to evaluate. While Bayesian optimizers are traditionally used for global optimization, their benefits are also valuable for local optimization.
André L. Marchildon, David W. Zingg
wiley   +1 more source

Sensitivity Analysis of Metamaterial-Inspired SIW Focusing on Resonator Misalignment

IEEE Access
The performance of the metamaterial-inspired substrate-integrated waveguide is discussed in this work, concerning a resonator misalignment potentially caused by the fabrication process.
Stamatios A. Amanatiadis, Vasileios Salonikios, Michalis Nitas, Theodoros Zygiridis, Nikolaos V. Kantartzis, Traianos V. Yioultsis   +5 more
doaj   +1 more source

Uncertainty should be the rule, not the exception: Integrating fibre orientation variability in cardiac electrophysiology modelling

The Journal of Physiology, EarlyView.
Ovais Ahmed Jaffery, Caroline Helen Roney   +1 more
wiley   +1 more source

Probabilistic Identification of Parameters in Dynamic Fracture Propagation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT In this paper, we propose a novel multiphase approach for identifying input parameters in dynamic fracture propagation. Often, such parameters are partially known and uncertain with incomplete input data, resulting in challenges in predicting a reliable dynamic failure response.
Andjelka Stanić, Mijo Nikolić, Hermann G. Matthies, Noémi Friedman   +3 more
wiley   +1 more source