In case of adding a regularization term to (1), one introduces a modeling error which must not dominate the approximation error of the numerical scheme.
The key is a large deviation estimate for the height at the origin in, dominated by "harmonic pinnacles", integer approximations of a harmonic variational problem.
The development objectives are such that the finite difference schemes are non-dissipative and compatible with regular difference approximations for convection dominated phenomena.
In this paper a posteriori error estimate for continuous interior penalty Galerkin approximation of transient convection dominated diffusion optimal control problems with control constraints is presented.
In populations dominated by selection, this is a good approximation since coalescent properties depend only weakly on the population size.
Therefore, as a first approximation to understand anisotropic rough surfaces dominated by directional features, the current study proposes a wet-adhesion line contact model.
By analogy, the elliptical orbit of the Moon about the Earth was dominated by the Earth's gravity; to first approximation, the Sun's gravity and those of other bodies of the Solar System can be neglected.
As a result, using the Dst index as a proxy means considering that the source field is dominated by the ring current effect which is a reasonable approximation on Earth (e.g., Kuvshinov and Olsen 2006).
Therefore, WBC−neutrophil is dominated by lymphocytes and is likely to be a reasonable approximation to the lymphocyte fraction, and the potential error introduced by the presence of monocytes in the fraction is therefore likely to be small.
For a class of priors that admit the structure of a mixture of product measures, we propose a novel prior mass condition, under which the variational approximation error of the generalized mean-field class is dominated by convergence rate of the true posterior.
