In this paper we develop advanced multidimensional sensitivity analysis, based on some innovative stochastic approaches for performing air pollution modelling on a large-scale model of long-range transport of air poll...
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A novel version of Monte Carlo algorithm for solving systems of linear algebraic equations is presented and studied. The algorithm is similar to the "Walk on Equations"Monte Carlo method recently developed b...
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Linear least squares problems arise in many important fields of science and engineering (such as econometry, geodesy, statistics, structural analysis, fluid dynamics, etc.). Applications from all these fields are to b...
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We set up a class of multi-parameter relaxed parallel matrix multisplitting methods for solving the linear complementarity problems on the SIMD multiprocessor systems. This class of methods can not only includes all t...
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We set up a class of multi-parameter relaxed parallel matrix multisplitting methods for solving the linear complementarity problems on the SIMD multiprocessor systems. This class of methods can not only includes all the existing relaxed methods for the linear complementarity problems, but also can yields a lot of novel ones in the sense of multisplitting. Thus, it is reasonably general. We set up the convergence theory of these relaxed methods under the condition that the system matrix is an H-matrix with positive diagonal elements.
In the detailed routing for VLSI standard cell layout design, the over-the-cell channel routing, which utilizes the over-the-cell legion as the routing region, has been proposed. In this design method, after determini...
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In the detailed routing for VLSI standard cell layout design, the over-the-cell channel routing, which utilizes the over-the-cell legion as the routing region, has been proposed. In this design method, after determining the net assignment to each channel in the global routing step, the track assignment both in channel and on over-the-cell regions is performed by an over-the-cell channel router. However, conventional global routing algorithms do not assume over-the-cell channel routing but conventional channel routing, Therefore, the minimization of channel density does not always successfully lead to the minimization of the final channel height. This paper presents a new global Touting method for standard cell layouts to determine global routes for each net in both channel and over-the-cell regions simultaneously. The standard cell layout design system GLORIA based on the proposed algorithm is developed, and the experimental results compared with the conventional global routing method that performs the over-the-cell channel routing after global-routing with TimberWolf-SC4.2c are reported. Experimental results showed that the proposed routing algorithm can route about 18.4 percent fewer number of tracks than the conventional routing method, and the effectiveness of the proposed method is shown. The experimental results of applying the proposed method to the three-layer routing layout model also are presented.
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