Výsledky vyhledávání - "Stochastic Collocation methods"

Multilevel double loop Monte Carlo and stochastic collocation methods with importance sampling for Bayesian optimal experimental design Autor Beck, Joakim, Mansour Dia, Ben, Espath, Luis, Tempone, Raúl

“…Summary An optimal experimental set‐up maximizes the value of data for statistical inferences. The efficiency of strategies for finding optimal experimental…”
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Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions Autor Li, Jichun, Fang, Zhiwei, Lin, Guang

“…In this paper we develop and analyze the stochastic collocation method for solving the time-dependent metamaterial…”
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Multilevel Double Loop Monte Carlo and Stochastic Collocation Methods with Importance Sampling for Bayesian Optimal Experimental Design Autor Beck, Joakim, Ben Mansour Dia, Espath, Luis F R, Tempone, Raul

“…An optimal experimental set-up maximizes the value of data for statistical inferences and predictions. The efficiency of strategies for finding optimal…”
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Uncertainty quantification of contaminant transport and risk assessment with conditional stochastic collocation method Autor Shi, Liangsheng, Zeng, Lingzao, Tang, Yunqing, Chen, Cheng, Yang, Jinzhong

“… After employing the stochastic collocation method (SCM), stochastic governing advection–dispersion equations are reduced to a series of uncoupled deterministic equations…”
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Analysis and numerical solution of stochastic phase-field models of tumor growth Autor Lima, Ernesto A. B. F., Almeida, Regina C., Oden, J. Tinsley

“…Carcinogenesis, as every biological process, is not purely deterministic as all systems are subject to random perturbations from the environment…”
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Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids Autor Lin, G., Tartakovsky, A.M., Tartakovsky, D.M.

“…Quantitative predictions of the behavior of many deterministic systems are uncertain due to ubiquitous heterogeneity and insufficient characterization by data…”
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A fast and parallel stroud-based stochastic collocation method for statistical EMI/EMC analysis Autor Bagci, H., Yavuz, C., Yucel, A.C., Hesthaven, J.S., Michielssen, E.

“…A fast and parallel Stroud-based stochastic collocation method for statistically characterizing electromagnetic interference and compatibility (EMI/EMC…”
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Shape and topology optimization of a permanent-magnet machine under uncertainties Autor Putek, Piotr, Pulch, Roland, Bartel, Andreas, ter Maten, E Jan W, Günther, Michael, Gawrylczyk, Konstanty M

“… As crucial ingredient we exploit the stochastic collocation method (SCM). Eventually, this leads to a random-dependent bi-objective cost functional, which is comprised of the expectation and the variance…”
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Uncertainty quantification in scientific models Autor Qi, Xin

“…Uncertainties widely exist in physical, finance, and many other areas. Some uncertainties are determined by the nature of the research subject, such as random variable and stochastic process…”
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Multilevel Sparse Grid Methods for Elliptic Partial Differential Equations with Random Coefficients Autor Hans-Werner van Wyk

“…Stochastic sampling methods are arguably the most direct and least intrusive means of incorporating parametric uncertainty into numerical simulations of…”
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Parametric study of a two degree-of-freedom cylinder subject to vortex-induced vibrations Autor Lucor, D., Triantafyllou, M.S.

“…This numerical work is an attempt to build accurate and continuous response surfaces of two degree-of-freedom vortex-induced vibrations (VIV) of flexibly…”
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Structural reliability and stochastic finite element methods: State-of-the-art review and evidence-based comparison Autor Aldosary, Muhannad, Wang, Jinsheng, Li, Chenfeng

“… Despite the rich literature of relevant research, UQ is not an easy subject for novice researchers/practitioners, where many different methods and techniques coexist with inconsistent input/output…”
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Estimation of exciton diffusion lengths of organic semiconductors in random domains Autor Chen, Jingrun, Lin, Ling, Zhang, Zhiwen, Zhou, Xiang

“… However, the domain occupied by the organic semiconductor is often subject to surface measurement error…”
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Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network Autor Xiu, Dongbin, Sherwin, Spencer J.

“…Reduced models of human arterial networks are an efficient approach to analyze quantitative macroscopic features of human arterial flows. The justification for…”
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Asymptotic and uncertainty analyses of a phase field model for void formation under irradiation Autor Wang, Nan, Rokkam, Srujan, Hochrainer, Thomas, Pernice, Michael, El-Azab, Anter

“… We perform asymptotic analysis and uncertainty quantification of a phase field model for void formation and evolution in materials subject to irradiation…”
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A Posteriori Error Estimates for the Crank–Nicolson Method: Application to Parabolic Partial Differential Equations Subject to a Robin Boundary Condition with Small Randomness Autor Shravani, N., Reddy, G. M. M., Vynnycky, M.

“…In this article, we obtain residual-based a posteriori error estimates for a linear parabolic partial differential equation which is subject to a Robin boundary condition that contains a small uncertainty…”
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A computational approach for robust nondestructive test design maximizing characterization capabilities for solids and structures subject to uncertainty Autor Notghi, Bahram, Brigham, John C.

“…Summary A robust approach to nondestructive test (NDT) design for material characterization and damage identification in solids and structures is presented and…”
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Structural reliability and stochastic finite element methods Autor Aldosary, Muhannad, Wang, Jinsheng, Li, Chenfeng

“… Despite the rich literature of relevant research, UQ is not an easy subject for novice researchers/practitioners, where many different methods and techniques coexist with inconsistent input/output…”
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Enabling forward uncertainty quantification and sensitivity analysis in cardiac electrophysiology by reduced order modeling and machine learning Autor Pagani, Stefano, Manzoni, Andrea

“…) a way to perform uncertainty propagation to investigate the impact of intra‐subject variability on outputs of interest depending on the cardiac potential…”
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High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs Autor Chkifa, Abdellah, Cohen, Albert, Schwab, Christoph

“…We consider the problem of Lagrange polynomial interpolation in high or countably infinite dimension, motivated by the fast computation of solutions to partial…”
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