The mean-reverting constant elasticity of variance (CEV) process with regime switching is one of the most successful continuous-time models of the short term rate, volatility, and other financial quantities. However, most SDEs with Markovian switching do not have explicit solutions. This paper obtains...

The Entropy-TVD scheme was developed for the non-linear scalar conservation laws in [1].The scheme with step reconstruction simultaneously compute the two numerical entities, the numerical solution and the numerical entropy, and numerical examples show that the scheme provides a super-convergence rate....

In this paper, we study a class of nonlinear fractional partial differential equations with several delays to the second boundary condition. Based on properties of the Riemann-Liouville fractional derivative, we establish a sufficient oscillatory condition of all solutions. The result is illustrated...

In order to search the wreckage, this paper establish the particle network model, in terms of Monte Carlo simulation method and the Bayesian theory. Based on analytic inverse extrapolation, we use Monte Carlo simulation method to simulate thousands of particles and the distribution of the aircraft crash...

A 2-independent set in a graph G is a subset I of the vertices such that the distance between any two vertices of I in G is at least three. We say that I is a maximal 2-independent set in G if it is not a proper subset of any other 2-independent set. In this paper, we study the problem of determining...

In this paper, we first point out in the literature [6] the symbol definition of the theorem B is wrong .Secondly, I want to say in the literature [7] the proof process of lemma 1 is wrong. Thirdly, we point out the proof process of lemma 2.2 in the literature [8] is incorrect. Finally, given the correct...

Determining the location and date of photos and videos is needed in some fields, such as production, public security, public opinions and information. But most photos and videos coming from networks or unclear anonymous sources have no clear information about the photographers and no signs of the location...

We investigate the employment of the co-evolutionary genetic algorithm (CoGA) as a search mechanism in a support system for designing the prediction, functionality and interaction of expression level in population of gene expressions. To correctly identify interactions between various experimental conditions...

To resolve the multi-sensor tracking problem of the targets in a non-maneuvering formation with the complicated background, based on the image technique of the group segmentation, the deletion models of the cloud-rain clutter and the banded interference were established, and the validity was analyzed...

This paper proposes a new clustering coefficient based on the number of connecting vertices within a cluster (called inter vertex adjacent ratio, IVAR) and proposes a new clustering algorithm based on IVAR. Finally, the analysis of algorithm applicability shows that the algorithm is more applicative...

Multi-Objective Evolutionary Algorithms (MOEAs) are likely used to identify non-dominated solutions or Pareto front (the known Pareto front) in multi-objective optimization problems. The quality of Pareto front depends on evolution strategies that are evaluated under performance metrics of generational...

In the parking system, the inclination of the plate image is relatively large, which creates the recognition rate of license plate is lower than the positive imaging, based on the color information and the corner feature, this paper presents a fast correction algorithm , The license plate area separated...

The aim of this paper is to improve stability condition for neutral systems with mixed time-delay. By introducing a novel integral inequality based on the optimization theory, and constructing the novel Lyapunov functionals, an improved delay-dependent stability criterion is established. It is shown...

Firstly, grey verhulst model based on fractional order accumulate is deduced. Then, take advantage of differential and difference to find the corresponding relationship between the grey verhulst model of each order and the regression equation. Giving the level of significance , carry out the significance...

A new population-based search algorithm called the Fox Hunting Algorithm (FHA) is presented here. FHA is a general-purpose algorithm that can be applied to solve almost any optimization problem. The algorithm mimics the fox hunting activity which is formed and improved since 16th century. The algorithm...

A priori bounds are established for periodic solutions of a nonlinear differential equation with delay. By means of these bounds, an existence theorem for periodic solutions can be obtained by means of Mawhin's continuation theorem. Our work generalizes the known result.

Given a graph G= (V,E ) and a positive integer p" "|E|. The Line Subgraph Problem is: Is there a subset E'" "E such that |E'|" "p and H= (V,E ) is a line graph. In this paper, we design a linear time algorithm to solve the line subgraph problem for Halin graphs. The algorithm is optimal.

Parameter calibration of hydrological model is one of the most important issues in the field of hydrology. Practice experience suggests that the traditional calibration of hydrological model with single objective cannot properly measure all of the behaviors of hydrological system. In order to successfully...

The purpose of this paper is to define the notion of an interval-valued fuzzy ideal of N (2, 2,0) algebra. Necessary and sufficient conditions for an i-v fuzzy set to be i-v fuzzy ideals are stated. It is proved that the intersection and direct product in N (2, 2,0) algebra of i-v fuzzy ideal are also...

In this paper, a method of variable selection for partial linear single-index model is proposed, which is based on the M-estimation and the adaptive LASSO. And its oracle property is established and proved. Unlike the existing M-estimator of the partial linear single-index model, the unknown link function...

This paper investigates the property of positive solution to a biological population model with nonlinear boundary condition. Firstly the author gets the local existence result by a regularization method. Then under appropriate hypotheses, the author establishes that positive weak solution either exists...

Using the idea of Materials Genome Initiative (MGI) for reference, by means of the First-principle calculation method, according to the known MNCl (M = Zr, Hf) structure to build model, we systematically calculated and analysised the binding energy and reaction energy of two phases of lanthanon replaced...