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The theoretical findings are illustrated by computational experiments for and for some model problems from the class of singular differential equations discussed in Agarwal et al. (2007).
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This class of optimization problems is called the class of pseudoinvex programs.
Further, the results for EOC in the energy norm are in a quite good agreement with derived theoretical estimates; in other words, this technique produces an optimal order of convergence O ( h p ). Finally, both estimates in Theorem 1 confirm the well-know attribute of DG schemes from the class of convection-diffusion problems, cf. [14] and [15].
From the optimization point of view, this problem belongs to the class of mixed integer dynamic optimization (MIDO).
(Not all NP-hard problems are members of the class of NP problems, however).
Their recent problems stem from complications associated with the class of medications known as Cox-2 inhibitors.
It turned out that these issues have a close connection with the problem of establishing the classes of uniqueness from [5] [8], which have been further developed in [9] [16] and other works.
This problem is of a class called NP-complete, the class of nondeterministic polynomial problems.
Due to the maximum principle this series converges uniformly in (Q_{0}) and its sum (u_{2}(r,varphi,z)) represents the solution of Problem D1 from the class (C^{2} ( Q_{0} ) cap C ( overline{Q} ) ).
Thus, the series (34) converges uniformly everywhere in D̅ (including the line of degeneracy (r=0)), i.e., (u_{1}) is the solution of Problem D1 from the class (C^{2}(Q_{0} cap C ( overline{Q} ) ). Besides, due to Lemma 4 and to the ellipticity of equation (2), solution (u_{1}) of Problem D1 can attain the positive maximum or negative minimum only on the bases of cylinder Q.
Consider the class of problems in which a target class is well-defined, and an outlier class is ill-defined.
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CEO of Professional Science Editing for Scientists @ prosciediting.com