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A two-dimensional Riemann solver is developed for the spherical harmonics approximation to the time dependent neutron transport equation.
Bensaada and Esselaoui in [15] presented error analysis of a modified Euler-SUPG approximation for the time-dependent viscoelastic flow problem.
Ervin and Heuer [14] analyzed a fully discrete approximation for the time-dependent viscoelasticity equations with an Oldroyd B constitutive equation in (mathbb{R}^{d}), (d=2,3).
However, our approximation for the time-dependent speed breaks down when t = O 1 / ε 2, as illustrated in Figure 7c for ε2 = 0.01.
Fermi's golden rule is the first-order approximation of the time-dependent quantum-mechanical perturbation theory.
The viscoelastic behavior is modeled based on the Boltzmann integral and Prony series approximation of the time-dependent moduli.
The influence of a lossy half-space is taken into account by means of the time dependent reflection coefficient approximation arising from the modified image theory (MIT), while the per-unit-length surface impedance accounts for the conductor losses.
Two possibilities of the time dependent diffusion coefficient probabilistic model based on coefficient variation (mean value and regression via linear approximation) are proposed.
In particular, three technical components are proposed including: i) an accuracy metric for time dependent model responses under uncertainty, ii) effective approaches for time dependent model bias calibration and approximation, and iii) reliability analysis considering the time dependent model bias.
The neutrons calculation consists in numerically solving the time dependent diffusion approximation equation, which is a simplified transport equation.
The present paper proposes a simple model based on the point kinetics approximation, which has been set up deriving an alternative formulation of the time-dependent neutron transport equation.
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