Zobrazeno 1 - 10
of 277
pro vyhledávání: '"Knio, Omar M."'
A time-stepping $L1$ scheme for solving a time fractional Fokker-Planck equation of order $\alpha \in (0, 1)$, with a general driving force, is investigated. A stability bound for the semi-discrete solution is obtained for $\alpha\in(1/2,1)$ {via a n
Externí odkaz:
http://arxiv.org/abs/2106.14146
Publikováno v:
In EURO Journal on Computational Optimization 2024 12
Publikováno v:
Comput. Math. with Appl. 79(4), 947-961, 2020
We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection-diffusion-reaction equation, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. Our focus is
Externí odkaz:
http://arxiv.org/abs/1902.00850
Publikováno v:
In International Journal of Hydrogen Energy 30 April 2023 48(37):13731-13755
Optimal dimensionality reduction methods are proposed for the Bayesian inference of a Gaussian linear model with additive noise in presence of overabundant data. Three different optimal projections of the observations are proposed based on informatio
Externí odkaz:
http://arxiv.org/abs/1709.06606
Publikováno v:
In Combustion and Flame January 2022 235
Akademický článek
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Publikováno v:
Combustion Theory and Modelling 21 (2019) 1023-1049
Calibration of the uncertain Arrhenius diffusion parameters for quantifying mixing rates in Zr-Al nanolaminate foils was performed in a Bayesian setting [Vohra et al., 2014]. The parameters were inferred in a low temperature regime characterized by h
Externí odkaz:
http://arxiv.org/abs/1610.02558
An efficient method for inferring Manning's $n$ coefficients using water surface elevation data was presented in Sraj et al. (2014) focusing on a test case based on data collected during the $T\=ohoku$ earthquake and tsunami. Polynomial chaos expansi
Externí odkaz:
http://arxiv.org/abs/1607.07414
Publikováno v:
Applied Mathematical Modelling, 53 (2018), pp. 584--601
This work focuses on the simulation of $CO_2$ storage in deep underground formations under uncertainty and seeks to understand the impact of uncertainties in reservoir properties on $CO_2$ leakage. To simulate the process, a non-isothermal two-phase
Externí odkaz:
http://arxiv.org/abs/1602.02736