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Using Wolff potentials is necessary only when estimating solutions, while it is not when passing to their gradients.
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Discontinuous Galerkin finite element methods are used to estimate solutions to the non-scattering 1-D spherical neutron transport equation.
Moreover, we estimate solutions for the general time-dependent case and also for a special case when the environment is changing periodically.
In this section, we apply our result to estimate solutions for the nonlinear integral equation and integral equation with a weakly singular kernel and maxima separately.
In the hybrid approach, an evolutionary algorithm, such as genetic algorithm or particle swarm optimization, firstly searches the entire problem space to get a set of roughly estimated solutions.
MulRF is an NP-hard problem, so heuristics are required to estimate solutions for large data sets.
Estimate solution statistics: Fix some positive integer (L < infty) corresponding to the highest level.
A simplified pre-calibration procedure using acoustic velocity to estimate solution properties was established.
The fitted cbDGT values deviate from the measured and estimated solution concentrations by −5% to +9.6%.
The class that y belongs to is determined by assigning it to the one that the distance between the y and estimated solution A i x ^ i is minimum.
They gave the geometric convergence rate estimate for approximate solutions.
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