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951.
New first- and high-order centred methods for conservation lawsare presented. Convenient TVD conditions for constructing centredTVD schemes are then formulated and some useful results areproved. Two families of centred TVD schemes are constructedand extended to nonlinear systems. Some numerical results arealso presented. 相似文献
952.
We consider the asymptotics of certain symmetric k-tensors, the vector analogue of sample moments for i.i.d. random variables. The limiting distribution is operator stable as an element of the vector space of real symmetric k-tensors. 相似文献
953.
Prabodh Shukla 《Pramana》2008,71(2):319-329
Bootstrap percolation transition may be first order or second order, or it may have a mixed character where a first-order
drop in the order parameter is preceded by critical fluctuations. Recent studies have indicated that the mixed transition
is characterized by power-law avalanches, while the continuous transition is characterized by truncated avalanches in a related
sequential bootstrap process. We explain this behaviour on the basis of an analytical and numerical study of the avalanche
distributions on a Bethe lattice.
相似文献
954.
M.J. Castro J.A. García-Rodríguez J.M. González-Vida C. Parés 《Journal of Computational and Applied Mathematics》2008
The goal of this paper is to construct efficient parallel solvers for 2D hyperbolic systems of conservation laws with source terms and nonconservative products. The method of lines is applied: at every intercell a projected Riemann problem along the normal direction is considered which is discretized by means of well-balanced Roe methods. The resulting 2D numerical scheme is explicit and first-order accurate. In [M.J. Castro, J.A. García, J.M. González, C. Pares, A parallel 2D Finite Volume scheme for solving systems of balance laws with nonconservative products: Application to shallow flows, Comput. Methods Appl. Mech. Engrg. 196 (2006) 2788–2815] a domain decomposition method was used to parallelize the resulting numerical scheme, which was implemented in a PC cluster by means of MPI techniques. 相似文献
955.
L. Consiglieri 《Annali di Matematica Pura ed Applicata》2008,187(4):647-665
This work adresses an unsteady heat flow problem involving friction and convective heat transfer behaviors on a part of the
boundary. The problem is constituted by a variational motion inequality with energy dependent coefficients, and the energy
equation in the framework of L
1-theory for the dissipative term. Using the duality theory of convex analysis, it also envolves the existence of Lagrange
multipliers. Weak solutions of an approximate coupled system are proven by a fixed point argument for multivalued mappings
and compactness methods. Then the existence result for the initial coupled system is proven by the passage to the limit.
This work was partially supported by FCT research program POCTI (Portugal/FEDER-EU). 相似文献
956.
E. Motchenkova PhD Candidate P. M. Kort 《Journal of Optimization Theory and Applications》2006,128(2):431-451
The main feature of the penalty schemes described in current sentencing guidelines is that the fine is based on the accumulated
gains from cartel activities or price-fixing activities for the firm. The regulations suggest modeling the penalty as an increasing
function of the accumulated illegal gains from price fixing to the firm, so that the history of the violation is taken into
account. We incorporate these features of the penalty scheme into an optimal control model of a profit-maximizing firm under
antitrust enforcement. To determine the effect of taking into account the history of the violation, we compare the outcome
of this model with a model where the penalty is fixed. The analysis of the latter model implies that complete deterrence can
be achieved only at the cost of shutting down the firm. The proportional scheme improves upon the fixed penalty, since it
can ensure complete deterrence in the long run, even when penalties are moderate. Phase-diagram analysis shows that, the higher
the probability and severity of punishment, the sooner cartel formation is blocked. Further, a sensitivity analysis is provided
to show which strategies are most successful in reducing the degree of price fixing. It turns out that, when the penalties
are already high, the antitrust policy aiming at a further increase in the severity of punishment is less efficient than the
policy that increases the probability of punishment.
The authors thank Eric van Damme, Thomas Fent, and an anonymous referee for stimulating discussions and valuable comments. 相似文献
957.
E. Estrada 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,52(4):563-574
We study the property of certain complex networks of being both sparse and
highly connected, which is known as “good expansion” (GE). A network has
GE properties if every subset S of nodes (up to 50% of the nodes) has a
neighborhood that is larger than some “expansion factor” φ
multiplied by the number of nodes in S. Using a graph spectral method we
introduce here a new parameter measuring the good expansion character of a
network. By means of this parameter we are able to classify 51 real-world
complex networks — technological, biological, informational, biological and
social — as GENs or non-GENs. Combining GE properties and node degree
distribution (DD) we classify these complex networks in four different
groups, which have different resilience to intentional attacks against their
nodes. The simultaneous existence of GE properties and uniform degree
distribution contribute significantly to the robustness in complex networks.
These features appear solely in 14% of the 51 real-world networks studied
here. At the other extreme we find that ∼40% of all networks are
very vulnerable to targeted attacks. They lack GE properties, display skewed
DD — exponential or power-law — and their topologies are changed more
dramatically by targeted attacks directed at bottlenecks than by the removal
of network hubs. 相似文献
958.
Vladimir Varlamov 《Journal of Mathematical Analysis and Applications》2008,348(1):101-115
Various differential and integral relations are deduced that involve fractional derivatives of the Airy function Ai(x) and the Scorer function Gi(x). Several new Wronskian relations are obtained that lead to the calculation of a number of indefinite integrals containing fractional derivatives of the Airy functions. New fractional derivative conservation laws are derived for equations of the Korteweg-de Vries type. 相似文献
959.
本文通过积分检验, 刻画了不同分布的$\varphi$-混合序列后置和的极限结果,并由此导出了它们的Chover型重对数律,推广和改进了已有的结果. 相似文献
960.
In this paper, we propose a three-component Camassa-Holm (3CH) system with cubic nonlinearity and peaked solitons (peakons). The 3CH model is proven to be integrable in the sense of Lax pair, Hamiltonian structure, and conservation laws. We show that this system admits peakons and multi-peakon solutions. Additionally, reductions of the 3CH system are investigated so that a new integrable perturbed CH equation with cubic nonlinearity is generated to possess peakon solutions. 相似文献