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The algorithm is based on a fifth-order compact upwind algorithm in conservation form to solve for the smooth part of the flow field, which is coupled with a high-resolution weighted essentially nonoscillatory (WENO) scheme to capture the discontinuities.
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The discrete weak form is adopted to solve for eigenvalue solutions and natural frequencies of the plate.
This model is readily used to solve for derived measurements of any aspect of wing form defined by the model.
Substituting Eq. (9) into Eq. (8), we obtain a linear observation equation in vector form to be solved for the coefficients a 1(2)j ; mathbf{d}=mathbf{H}mathbf{a}+mathbf{e} (10).
In its more general form (GEM10), the model solves for nitrate, ammonium, dissolved nitrogen, bacteria and two size categories of phytoplankton, zooplankton and detritus, in addition to solving for dissolved inorganic carbon and total alkalinity to enable estimation of the carbon dioxide flux at the air sea interface.
It remains to find the expressions for the PDF of γ 2 k and the CDF of γ 1 k to solve (17) for the close-form expression of P out k.
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The system of equations is put into an equivalent form by solving for the nonzero variables x0, x2, x3, x5 in terms of those variables now at zero; i.e., x1 and x4.
We have not found any simple closed form for ; so we solve for numerically, and in case of multiple solutions we keep the admissible one (which turns out to be unique).
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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