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For relatively large time steps, the total energy of the N-body system was conserved better than to one in 106 on the GPU, which is impressive given the single-precision nature of the GPU.
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An important feature of our method is that total number of ions in the system is conserved by carefully imposing the boundary conditions, by utilizing a conservative discretization of the diffusive and, more importantly, the nonlinear migrative flux term.
Momentum is the product of mass and velocity, and the law of conservation of momentum dictates that the total momentum of a system is conserved, or remains constant.
An equally fundamental law, for which no exception is known, is that the total electrical charge in an isolated system is conserved.
In this work, we expand the formulation to include any mechanism of interest to population balances, whether the total mass of the system is conserved or not.
Finally, time-domain simulation with the original nonlinear models is performed to verify the approach and the result shows that the nonlinear dynamics of the system is conserved well in the linear model.
This scheme is designed to inherit the stability properties of the continuous problem: the unknowns (in particular the density and the dispersed phase mass fraction y) are kept within their physical bounds, and the entropy of the system is conserved, thus providing an unconditional stability property.
The total angular momentum of the system is conserved, but the angular momentum can be transferred between the orbital periods and the rotation rates.
Combining Newton's Second and Third Laws, it is possible to show that the linear momentum of a system is conserved.
This system is conserved in many different bacteria.
This system is conserved among most of the gram negative plant and animal pathogenic bacteria.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com