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My focus is placed on both the theoretical and computational aspects of this methodology.
From both the theoretical and computational points of view, singularly perturbed problems and asymptotic behavior of the Navier-Stokes equations with small viscosity when the boundary is either characteristic or non-characteristic have been well studied; see, e.g., [1 6].
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Nowadays, more and more researchers have devoted their efforts to this field, and many papers have been published about bilevel optimization both from the theoretical and computational points of view [1 3], however, many of them deal with the bilevel programming problem where the lower level is a single objective optimization problem.
The tradeoff between realistic and accurate descriptions of large-scale dynamics, flexibility, computational feasibility, ease of use, and accessibility of these tools creates a major challenge from both the theoretical and the computational points of view [ 4, 5, 11, 10, 13].
NAMD was developed by the Theoretical and Computational Biophysics Group in the Beckman Institute for Advanced Science and Technology at the University of Illinois at Urbana-Champaign.
It deals with topological and geometrical definitions of digitized objects or digitized images and provides both a theoretical and computational framework for computer imaging.
The general purpose of this article is to review the main ideas in fatigue analysis of composites in the context of the application of probabilistic methods, both theoretical and computational.
It is known that a fruitful method,which is both theoretical and computational, is the generalized monotone method with coupled lower and upper solutions.
Both theoretical and computational evidence shows that the resulting methods possess excellent dispersion properties.
These are of both theoretical and computational importance.
As a result, it is interesting from both theoretical and computational point of views.
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