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Recursive segment subdivision is used to keep the approximation error within specified threshold limits.
Therefore, we choose n q = p + 2. From numerical experiments, it is found that this is sufficient (for up to p = 4 ) to keep the approximation error (44) smaller than the L 2 -norm of the discretization error (which otherwise would contaminate the accuracy of two- multi-) grid solver).
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Particularly, the two-level-based framework has a nice property that the whole algorithm can keep the same approximation guarantee of the algorithm as in the first level.
As introduced above, the framework has a nice property that the whole algorithm can keep the same approximation guarantee of the algorithm (top-1 function) in the first level.
At each stage, we keep the Gaussian approximations of each mode-conditioned estimate p(x k |m k =j,z 1 k ) with mean (hat {mathbf {x}}_{k}^{j}) and covariance (mathbf {P}_{k}^{j}).
In addition, protein design methods frequently keep the backbone fixed, an approximation that may substantially limit the ability to accurately model side-chain flexibility.
To keep the second order of approximation near dielectric permittivity and magnetic permeability discontinuities a novel technique for gradient calculation and limitation is applied near discontinuities.
Convergence is derived in Section 5 to show that these new decoupled algorithms keep the same order of approximation accuracy as the coupled method.
In contrast, the methods based on steady-state or partial equilibrium approximations keep the one-to-one relation and are therefore simple to biochemically interpret.
It allows to keep the degrees of freedom of the approximation very close to the optimal value corresponding to the significance threshold.
To implement the nonlinear approximation, we keep the N largest coefficients in the transform domain, reconstruct the data and evaluate the data fidelity in terms of PSNR.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com