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In a graph model of this problem, the transmitters are represented by the vertices of a graph; two vertices are very close if they are adjacent in the graph and close if they are
This paper derives a priori error estimates for a special finite element discretization based on component mode synthesis.. The a priori error bounds state the explicit dependency
Furthermore, the following analogue of Theorem 1.13 shows that though the constants in Theorem 1.19 are sharp, Simpson’s rule is asymptotically better than the trapezoidal
Therefore, with the weak form of the positive mass theorem, the strict inequality of Theorem 2 is satisfied by locally conformally flat manifolds and by manifolds of dimensions 3, 4
Conley index, elliptic equation, critical point theory, fixed point index, superlinear problem.. Both authors are partially supportedby the Australian
Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of the same type as the problem with
The idea of applying (implicit) Runge-Kutta methods to a reformulated form instead of DAEs of standard form was first proposed in [11, 12], and it is shown that the
[Mag3] , Painlev´ e-type differential equations for the recurrence coefficients of semi- classical orthogonal polynomials, J. Zaslavsky , Asymptotic expansions of ratios of