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This approach gives the flexibility to achieve easily and at low cost higher order regularity for the approximation of the flux function in the domain covered by the plasma, while preserving accurate meshing of the geometric details outside this region.
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We conclude that, for the same computational cost, high-order tracing is more accurate (smaller error in the time-of-flight) and robust (less sensitive to grid distortion) than low-order tracing.
Utilizing the nth moment results, the higher order cost cumulant Hamilton Jacobi Bellman equations are derived.
Higher order means higher cost of the computation.
Unlike other near-field algorithms, these two approaches require neither high-computation cost nor high-order statistics.
Given the extremely high computational cost in high-order SNP interaction detection in GWAS [ 5 ], nearly all the existing methods ignore high-order epistasis, which are highly important in many cases [ 4 ], especially in quantitative trait analysis [ 9 ].
One can increase t to incorporate higher order interactions, at the cost of more tests.
One cost: higher audit fees.
Armstrong admits higher order states of affairs.
Hamilton-Jacobi-Bellman equation is used to formulate the optimization problem with a cost function that incorporates high order terms of the energy of the system in order to optimize the dynamic response.
In this study we systematically compare accuracy and cost of the high-order Flux Reconstruction solver PyFR running on GPUs and the industry-standard solver STAR-CCM+ running on CPUs when applied to a range of unsteady flow problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com