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Reduced computational complexity is achieved because the explicit computation of ({bar {P}}_{k|k}) is avoided in the EnKF recursion.
This equation is coupled with the continuity equation and the momentum equation to describe flame dynamics in complex flows, and the lattice Boltzmann method is employed in the present study as the computational platform, since its feature of explicit computation is highly consistent with the advantage of flame auto-capturing of the present method.
In order to achieve tractability we have to compute valid colorings in bottom-up order without explicit computation of the corresponding restricted admissible sets e t (C ).
The elliptical trajectories of planets emerge as a property of gravity, not through explicit computation.
At the same time the explicit computation of Ξ ^ H Δ - 1 Ξ ^ can be avoided.
The FT part circumvents the explicit computation of the interface curvature.
In this way, there is no explicit computation of sensitivity coefficients, nor any matrix inversion.
(10) Although this integral is similar to (2), there are sufficient differences to warrant an explicit computation.
An explicit computation of the integral (36a) with (36b) yields immediately the same expression (35) for z(t).
Therefore, the model is implicitly contained within the discretization, and an explicit computation of model terms becomes unnecessary.
The Jacobian-free approach circumvents explicit computation of the tangent matrix at the macroscale by using a Newton Krylov process.
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