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There is no visible difference, and the only source of error is computational round-off error.
The CADNA library enables one to estimate round-off error propagation using a probabilistic approach.
It is shown that the resulting algorithm conserves probability to within a round-off error regardless of the grid geometry.
The scheme preserved a consistent approximation to the divergence-free condition ∇·B=0 to round-off error.
Up to round-off error, these schemes preserve the discrete version of the mass of the continuous solution.
Additionally, we propose to use a mixed precision Krylov kernel to improve the convergence by reducing round-off error.
The CADNA library enables one to estimate, using a probabilistic approach, round-off error propagation in any simulation program.
Numerical results are degraded since accuracy is quickly lost due to the growth of short waves which enter into the computation through truncation and round-off error.
We also advance the magnetic field with a high order constrained transport (CT) scheme to preserve the divergence-free condition to machine round-off error.
It is shown that this ellipticity marginal violation of the original continuous problem is genuine and not due to some round-off error amplification.
This paper describes the features of the CADNA library and shows how to interpret the information it provides concerning round-off error propagation in a code.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com