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In this paper, we extend these high accuracy approximations to the solution of Navier-Stokes equations.
The resulting system of radial equations containing the potential matrix elements and first-derivative coupling terms is solved using high-order accuracy approximations of the finite element method.
The resulting system of these equations containing the potential matrix elements and first-derivative coupling terms is solved using high-order accuracy approximations of the finite element method.
It seems like we must estimate an N by N correlation matrix, N the number of cases, but our main result shows that this is not necessary: good accuracy approximations can be based on the root mean square correlation over all N · (N - 1)/2 pairs, a quantity often easily estimated.
The resulting system of radial equations which contains the potential matrix elements and first-derivative coupling terms is solved using high-order accuracy approximations of the finite-element method.
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The newly proposed HOC exponential FD schemes have nonoscillation property and yield high accuracy approximation solution as well as are suitable for convection-dominated problems.
It offers high-order accuracy approximation and scales as O(N) per time step, with N being with the total number of nodes.
These results show that a more careful model accuracy approximation is required for some proteins.
If g ij is a small value for node j at the time slot i, we may have an estimation with a high variance producing a low-accuracy approximation.
The quick convergence for z close to 1 can be taken advantage of in the following way: given a low-accuracy approximation y ≈ ln z) and putting A = \frac z{\exp y)}, \, the logarithm of z is: :\ln (z)=y+\ln (A).
The procedure is shown to be capable of producing high accuracy numerical approximations with relatively modest numbers of unknowns.
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