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This scheme gives rise to both a consistent approximation of the Euler Lorentz model when ε is finite and a consistent approximation of the drift limit when ε→0. Above all, it does not require any constraint on the space and time-steps related to the small value of ε.
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We discuss some remaining inconsistencies in the approximation of the surfzone momentum balance, derive and present a consistent approximation, and validate the new approximation through numerical comparison to a more exact model.
Scientists have determined that by counting how often it chirps in 15 seconds and adding 40, a consistent approximation of the temperature in degrees Fahrenheit can be obtained.
This discretization, which is the key to the Asymptotic-Preserving property, provides a consistent approximation of both the hyperbolic compressible regime and the elliptic incompressible regime.
Linear stability analysis and high-accuracy numerical simulations are employed to analyze the ability of macroscopic continuum equations to provide a consistent approximation of the displacement process.
The scheme preserved a consistent approximation to the divergence-free condition ∇·B=0 to round-off error.
We derive here a consistent approximation for the viscous Navier Stokes equations using variable size vortex particles.
(iii) With a consistent approximation of the Hamiltonian, we obtain finite-dimensional port-Hamiltonian state space models.
The algorithm uses a mixture type of the model equations written in a quasi-conservative form to ensure a consistent approximation of the energy equation near the interfaces where two or more fluid components are present in a grid cell.
This is thought to be a desirable property, although only in the case of linear systems is it sufficient for convergence of a consistent approximation to the true solution.
This procedure, combined with a consistent approximation of the geometric quantities, is done to satisfy the discretized mass conservation equation to machine accuracy, as well as to gain the favorable convergence properties of the Poisson solver.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com