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981.
主要研究了具有混合型的多重非线性项的抛物方程组的初边值问题.方程组中的非线性项是幂函数和指数混合型的.这些非线性项组合出了源-流交叉耦合,通过比较原理得到了方程组的上下解,并得到了解有限时刻爆破的临界指标. 相似文献
982.
The results of the present study point to the fact that the EOS of Dieterici is able to predict single azeotropy ending at zero temperature. In addition, the EOS of Dieterici is able to predict polyazeotropy, as in the case of van der Waals-type models, and even three azeotropes for binary systems. 相似文献
983.
A. S. Strekalovsky M. V. Yanulevich 《Computational Mathematics and Mathematical Physics》2008,48(7):1119-1132
A nonconvex optimal control problem is examined for a system that is linear with respect to state and has a terminal objective functional representable as the difference of two convex functions. A new local search method is proposed, and its convergence is proved. A strategy is also developed for the search of a globally optimal control process, because the Pontryagin and Bellman principles as applied to the above problem do not distinguish between the locally and globally optimal processes. The convergence of this strategy under appropriate conditions is proved. 相似文献
984.
In this paper, we investigate a prey-predator model with diffusion and ratio-dependent functional response subject to the
homogeneous Neumann boundary condition. Our main focuses are on the global behavior of the reaction-diffusion system and its
corresponding steady-state problem. We first apply various Lyapunov functions to discuss the global stability of the unique
positive constant steady-state. Then, for the steady-state system, we establish some a priori upper and lower estimates for
positive steady-states, and derive several results for non-existence of positive non-constant steadystates if the diffusion
rates are large or small.
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10801090, 10726016, 10771032) and
the Scientific Innovation Team Project of Hubei Provincial Department of Education (Grant No. T200809) 相似文献
985.
986.
Messoud Efendiev 《Journal of Mathematical Analysis and Applications》2009,358(1):136-147
In this paper we continue systematic study of the dimension estimate of the global attractors for the chemotaxis-growth system and its finite-element approximations. Utilizing a conservative upwind finite-element scheme we managed significantly to improve dimension estimates with respect to the chemotactic parameter. 相似文献
987.
Yaroslav D. Sergeyev 《Computational Optimization and Applications》2006,34(2):229-248
This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function
and constraints are one-dimensional non-differentiable multiextremal Lipschitz functions. Multiextremal constraints can lead
to complex feasible regions being collections of isolated points and intervals having positive lengths. The case is considered
where the order the constraints are evaluated is fixed by the nature of the problem and a constraint i is defined only over the set where the constraint i−1 is satisfied. The objective function is defined only over the set where all the constraints are satisfied. In contrast
to traditional approaches, the new algorithm does not use any additional parameter or variable. All the constraints are not
evaluated during every iteration of the algorithm providing a significant acceleration of the search. The new algorithm either
finds lower and upper bounds for the global optimum or establishes that the problem is infeasible. Convergence properties
and numerical experiments showing a nice performance of the new method in comparison with the penalty approach are given.
This research was supported by the following grants: FIRB RBNE01WBBB, FIRB RBAU01JYPN, and RFBR 04-01-00455-a. The author
thanks Prof. D. Grimaldi for proposing the application discussed in the paper.
An erratum to this article is available at . 相似文献
988.
The use of integrated circuits in high-performance computing, telecommunications, and consumer electronics has been growing
at a very fast pace. The level of integration as measured by the number of logic gates in a chip has been steadily rising
due to the rapid progress in processing and interconnect technology. The interconnect delay in VLSI circuits has become a
critical determiner of circuit performance. As a result, circuit layout is starting to play a more important role in today’s
chip designs. Global routing is one of the key sub-problems of circuit layout which involves finding an approximate path for
the wires connecting the elements of the circuit without violating resource constraints. In this paper, several integer programming
(ILP) based global routing models are fully investigated and explored. The resulting ILP problem is relaxed and solved as
a linear programming (LP) problem followed by a rounding heuristic to obtain an integer solution. Experimental results obtained
show that the proposed combined WVEM (wirelength, via, edge capacity) model can optimize several global routing objectives
simultaneously and effectively. In addition, several hierarchical methods are combined with the proposed flat ILP based global
router to reduce the CPU time by about 66% on average for edge capacity model (ECM). 相似文献
989.
Global classical solutions near the relativistic Maxwellian are constructed for the relativistic Boltzmann equation in both a periodic box and the whole space. For both cases, we are able to get the non‐negativity of the global solution under less restriction than in (Publ. Res. Inst. Math. Sci. 1993; 29 :301–347) on the scattering kernel. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
990.
In this paper we discuss a class of numerical algorithms termed one-leg methods. This concept was introduced by Dahlquist in 1975 with the purpose of studying nonlinear stability properties of multistep methods for ordinary differential equations. Later, it was found out that these methods are themselves suitable for numerical integration because of good stability. Here, we investigate one-leg formulas on nonuniform grids. We prove that there exist zero-stable one-leg variable-coefficient methods at least up to order 11 and give examples of two-step methods of orders 2 and 3. In this paper we also develop local and global error estimation techniques for one-leg methods and implement them with the local–global step size selection suggested by Kulikov and Shindin in 1999. The goal of this error control is to obtain automatically numerical solutions for any reasonable accuracy set by the user. We show that the error control is more complicated in one-leg methods, especially when applied to stiff problems. Thus, we adapt our local–global step size selection strategy to one-leg methods. 相似文献