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In this algorithm, only a system of linear equations needs to be solved at each iteration.
A nonlinear equation must then be solved at each time-step in order to determine the divergence tendency.
Consequently, the resulting numerical schemes lead to a symmetric positive definite linear system to be solved at each time step.
The unknown parameters of linear partial differential equations and the linear equations have to be solved at each sampling time, to calculate control rule.
This leaves a nonhomogeneous, modified Helmholtz type of differential equation for the elliptic part of the operator to be solved at each time step.
In doing so, a Poisson equation needs to be solved at each time-step to project the velocity field onto a divergence-free space.
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Equations describing conservation of mass, energy, and other processes are solved at each grid box.
The nested approach is used, i.e., equilibrium is solved at each iteration.
In both methods approximate mixed integer programming models are solved at each search iteration.
The Poisson equation was solved at each time step using a successive over-relaxation (SOR) solver.
Therefore, the following equations of motion are solved at each particle on the inner tube: (1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com