One of the key problems in multi-agent coalition formation is to optimally assign and schedule resources. An improved multi-objective evolutionary Algorithm (IMOEA) is proposed to solve this problem. Compared with sev...
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A direct approach for explicitly determining the perpendicular mean free path of solar energetic particles(SEPs) influenced by parallel diffusion and composite dynamical turbulence in a spatially varying magnetic fiel...
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A direct approach for explicitly determining the perpendicular mean free path of solar energetic particles(SEPs) influenced by parallel diffusion and composite dynamical turbulence in a spatially varying magnetic field is *** theoretical applications of the direct approach,we investigate the inherent relations between the perpendicular mean free path and various parameters concerning physical properties of SEPs as well as those of interplanetary conditions such as the solar wind and the turbulent magnetic *** of the perpendicular mean free paths with and without adiabatic focusing are also *** direct method shows encouraging agreement with spacecraft observations,suggesting it is a reliable and useful tool for use in theoretical investigations and space weather forecasting.
In classical theorems on the convergence of Gaussian quadrature formulas for power orthogonal polynomials with respect to a weight w on I （a,b）, a function G E S（w）= （f： fxlf（x）lw（x）dx 〈 ∞ satisfying the ...
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In classical theorems on the convergence of Gaussian quadrature formulas for power orthogonal polynomials with respect to a weight w on I （a,b）, a function G E S（w）= （f： fxlf（x）lw（x）dx 〈 ∞ satisfying the conditions G（2J）（x） ：〉 O, x E （a,b）, j = 0, 1 , and growing as fast as possible as x→ a- and x → b-, plays an important role. But to find such a function G is often difficult and complicated. This implies that to prove convergence of Gaussian quadrature formulas, it is enough to find a function G E S（w） with G ≥ 0 satisfying
Let A be a d x d real expansive matrix. An A-dilation Parseval frame wavelet is a function φ E n2 （Rd）, such that the set {｜det A｜n/2φ（Ant -l） ：n ∈ Z, l∈ Zd} forms a Parseval frame for L2 （Rd）. A measurab...
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Let A be a d x d real expansive matrix. An A-dilation Parseval frame wavelet is a function φ E n2 （Rd）, such that the set {｜det A｜n/2φ（Ant -l） ：n ∈ Z, l∈ Zd} forms a Parseval frame for L2 （Rd）. A measurable function f is called an A-dilation Parseval frame wavelet multiplier if the inverse Fourier transform of fφ is an A-dilation Parseval frame wavelet whenever φ is an A-dilation Parseval frame wavelet, where φ denotes the Fourier transform of φ. In this paper, the authors completely characterize all A-dilation Parseval frame wavelet multipliers for any integral expansive matrix A with ｜ det（A）｜= 2. As an application, the path-connectivity of the set of all A-dilation Parseval frame wavelets with a frame MRA in L2（Rd） is discussed.
Suppose that η1,...,η_n are measurable functions in L2（R）.We call the n-tuple（η1,...,ηn） a Parseval super frame wavelet of length n if {2^（k/2） η1（2~kt-l） ⊕···⊕2^（k/2） ηn（2kt-l）：k,l...
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Suppose that η1,...,η_n are measurable functions in L2（R）.We call the n-tuple（η1,...,ηn） a Parseval super frame wavelet of length n if {2^（k/2） η1（2~kt-l） ⊕···⊕2^（k/2） ηn（2kt-l）：k,l∈Z} is a Parseval frame for L2（R）⊕*** high dimensional case,there exists a similar notion of Parseval super frame wavelet with some expansive dilation *** this paper,we will study the Parseval super frame wavelets of length n,and will focus on the path-connectedness of the set of all s-elementary Parseval super frame wavelets in one-dimensional and high dimensional *** will prove the corresponding path-connectedness theorems.
This paper is concerned with a compact difference scheme with the truncation error of order 3/2 for time and order 4 for space to an evolution equation with a weakly singular *** integral term is treated by means of t...
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This paper is concerned with a compact difference scheme with the truncation error of order 3/2 for time and order 4 for space to an evolution equation with a weakly singular *** integral term is treated by means of the second order convolution quadrature suggested by *** stability and convergence are proved by the energy method.A numerical experiment is reported to verify the theoretical predictions.
The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（...
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The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（h^8｜ in h｜^2） ultraconvergence of eigenvalue approximation is obtained. Numerical experiments verify the theoretical results.
作者：
Dou, YalingCollege of Mathematics and Computer Science
Key Laboratory of High Performance Computing and Stochastic Information Processing HPCSIP Ministry of Education of China Hunan Normal University Changsha Hunan 410081 China
A fundamental and hard problem in quality-of-service (QoS) routing is to find a path between a source-destination node pair that satisfies two or more end-to-end QoS constraints in uncertain network. In this paper, th...
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A fundamental and hard problem in quality-of-service (QoS) routing is to find a path between a source-destination node pair that satisfies two or more end-to-end QoS constraints in uncertain network. In this paper, the multi-constrained path (MCP) problem is first modeled as multi-criteria fuzzy decision-making problem based on vague sets, which determines a fuzzy solution set and gives some guidelines to help the decision-maker choose the optimal (shortest) path. Firstly, different metrics, such as additive metrics and bottleneck metrics are expressed in vague linguistic term and vague numbers. Secondly, in particular, defining the weight vector related to the constrained path on network and present score functions to measure the degree of suitability for each alternative, with respect to a set of criteria presented with vague values. Further, comparing result of the ranking order, the path with the highest degree is the optimal (shortest) path. Finally, a numerical example is given to demonstrate our proposed method.
A fast time-extrapolation algorithm(FTEA)of Crank-Nicolson scheme on quasi-uniform mesh for parabolic problem is first *** decrease regularity requirements of solutions,new error estimates and time-extrapolation are p...
A fast time-extrapolation algorithm(FTEA)of Crank-Nicolson scheme on quasi-uniform mesh for parabolic problem is first *** decrease regularity requirements of solutions,new error estimates and time-extrapolation are proved.
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