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Many of the problems of approximating numerically solutions to nonhomogeneous hyperbolic conservation laws appear to arise from an inability to balance the source and flux terms at steady states.
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For positive costs, our results are as follows: (i) we establish matching lower and upper bounds for the optimal cost, both double exponential in the POMDP state space size; (ii) we show that the problem of approximating the optimal cost is decidable and present approximation algorithms developing on the existing algorithms for POMDPs with finite-horizon objectives.
In this section, we consider the problem of approximating a solution of the equilibrium problem.
Second, we consider the problem of approximating a solution of a family of variational inequalities.
It addresses the problem of approximating the observed data matrix by an unknown low-rank matrix.
Further research in the problem of approximating the constant e can be found in [1 4].
In this paper, we consider the problem of approximating satisfying the following nonlinear Sobolev equations: (1.1).
This paper considers the problem of approximating a given crystallite orientation distribution function (codf) by a set of texture components.
Using this result, we study the problem of approximating common fixed points of such a sequence of mappings.
First, we consider the problem of approximating a common minimizer of a family of proper, lower semicontinuous, and convex functionals.
A novel high-order spline filter is proposed to resolve this practical problem of approximating the Gaussian filtering characteristic.
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