Calculating Time Eigenvalues of the Neutron Transport Equation with Dynamic Mode Decomposition [PDF]
A novel method to compute time eigenvalues of neutron transport problems is presented based on solutions to the time-dependent transport equation. Using these solutions, we use the dynamic mode decomposition to form an approximate transport operator ...
R. McClarren
semanticscholar +1 more source
The anisotropic approximations of the Henyey-Greenstein phase function for neutron transport equation [PDF]
The effect of anisotropic scattering on the eigenvalues of a multiplying (c >1) and non-multi-plying (c < 1) slab in one-speed neutron transport equation is studied.
Kacira Kadir, Bilgic Huseyin, Yasa Faruk
doaj +1 more source
On the spectrum of discrete-ordinates neutron transport problems
Over the last six decades, the discrete spectrum of the neutron transport operator has been widely studied. Important theoretical results can be found in the literature regarding the one-speed linear transport equation with anisotropic scattering.
Jesús Pérez Curbelo
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High-Order Semi-Lagrangian Schemes for the Transport Equation on Icosahedron Spherical Grids
The transport process is an important part of the research of fluid dynamics, especially when it comes to tracer advection in the atmosphere or ocean dynamics. In this paper, a series of high-order semi-Lagrangian methods for the transport process on the
Fuqiang Lu +4 more
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Radiative transfer of acoustic waves in continuous complex media: Beyond the Helmholtz equation [PDF]
Heterogeneity can be accounted for by a random potential in the wave equation. For acoustic waves in a fluid with fluctuations of both density and compressibility (as well as for electromagnetic waves in a medium with fluctuation of both permittivity and
Baresch, Diego +3 more
core +1 more source
Identification of the source for full parabolic equations
In this work, we consider the problem of identifying the time independent source for full parabolic equations in Rn from noisy data. This is an ill-posed problem in the sense of Hadamard.
Guillermo Federico Umbricht
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Transport theory and systems theory [PDF]
The simulation of singular nonlinear transport equation is obtained via corresponding neutron or photon kinetic equation. The conditions for convergence of the non stationary transport process to ward the pure dif fusion across the equilibriums are ...
Rastović Danilo
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A survey of numerical schemes for transportation equation [PDF]
The convection-diffusion equation is a fundamental equation that exists widely. The convection-diffusion equation consists of two processes: diffusion and convection. The convection-diffusion equation can also be called drift-diffusion equaintion.
Yu Simin
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Steady distribution of the incremental model for bacteria proliferation
We study the mathematical properties of a model of cell division structured by two variables – the size and the size increment – in the case of a linear growth rate and a self-similar fragmentation kernel.
Pierre Gabriel, Hugo Martin
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PI Controllers for 1-D Nonlinear Transport Equation
In this paper, we introduce a method to obtain necessary and sufficient stability conditions for systems governed by one-dimensional nonlinear hyperbolic partial-differential equations with closed-loop integral controllers, when the linear frequency ...
J. Coron, Amaury Hayat
semanticscholar +1 more source

