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	1. A new bound of restricted isometry constant for recovery of sparse signals
	LIAO AnPing, TIAN YuShuai,YANG XiaoBo
	Mathematics 07 April 2016
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	Abstract:Compressed sensing is put forward in recent years as a new type of signal transmission theory framework.~Compressed sensing theorymainly includes three aspects:~the sparse representation of signal,~encoding measuring and reconstruction algorithm.~Sparse representation of signal is a priori condition of compressed sensing.~In the measurement of coding,~In order to keep the original structure of the signal,~projection matrix must satisfy restricted isometry conditions,~and then obtain linear projection measurement of the original signal through the product of original signal and measure matrix.~Finally,~reconstruct the original signal by the measured value and the projection matrix using the reconstruction algorithm.~In this paper, a new bound on the restricted isometry conditions for sparse signals recovery is established. For the recovery of high-dimensional sparse signals, this paper considers constraint $ell_1$ minimization methods in the noiseless. It is shown that if the sensing matrix $A$ satisfies the corresponding $RIP$ condition, then all $k$-$sparse$ signals $eta$ can be recovered exactly via the constrained $ell_{1}$ minimization based on $y=Aeta$, which has improved the bound that was established by T. Cai and A. Zhang (IEEE Trans. Inf. Theory, 2014).
	TO cite this article:LIAO AnPing, TIAN YuShuai,YANG XiaoBo. A new bound of restricted isometry constant for recovery of sparse signals[OL].[ 7 April 2016] http://en.paper.edu.cn/en_releasepaper/content/4683309


	2. Block-centered finite difference method for Non-Fickian Flow in Porous Media
	RUI Hong-Xing ,LI Xiao-Li
	Mathematics 14 January 2016
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	Abstract:In this article, a block-centered finite difference scheme is introduced and analyzed to solve the parabolic integro-differential equation arising in modeling non-Fickian flow in porous media. The scheme is Euler backward scheme with first order accuracy in time increment. Second-order error estimates in spacial meshsize both for pressure and velocity in discrete $L^2$ norms are established on non-uniform rectangular grid. Numerical experiments using the scheme show that the convergence rates are in agreement with the theoretical analysis.
	TO cite this article:RUI Hong-Xing ,LI Xiao-Li . Block-centered finite difference method for Non-Fickian Flow in Porous Media[OL].[14 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4675839

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	3. Sign-changing solutions for degenerate elliptic equations
	Dai jin-jun,Peng Shuang-Jie,Zhao Rui-huan
	Mathematics 16 November 2015
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	Abstract: In this paper, we are concerned a class of degenerate elliptic problem which is relatedto the Caffarelli-Kohn-Nirenberg inequalities. We first prove a global compactness result and thenobtain sign-changing solutions for the above problem. Due to the degeneracy of the second order ellipticoperator, some new phenomena appear.
	TO cite this article:Dai jin-jun,Peng Shuang-Jie,Zhao Rui-huan. Sign-changing solutions for degenerate elliptic equations[OL].[16 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4662422


	4. On the existence of Pareto efficient Nash equilibria in discontinuous games
	LIU Zhi-Gang, Hou Ji-Cheng
	Mathematics 10 November 2015
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	Abstract:In this paper, we give a new existence theorem on Pareto efficient Nash equilibrium for discontinuous N-person noncooperative games in the framework of topological spaces without any linear structures. Moreover, we provide some examples where it is straightforward to verify our conditions and the previous conditions do not apply.
	TO cite this article:LIU Zhi-Gang, Hou Ji-Cheng. On the existence of Pareto efficient Nash equilibria in discontinuous games[OL].[10 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4660949


	5. Pollution-free Finite Difference Schemes for Fluid-Solid Interaction Problems in 1D
	FEI Dan-Dan,WANG Kun
	Mathematics 03 November 2015
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	Abstract:In this paper, new finite difference schemes are presented for solving time-harmonic fluid-solid interaction problems in one dimension. By applying the Taylor expansion and the model equation, a new kind of pollution-free difference schemes are derived. These proposed new schemes have a simple structure and are effective for the equation with high wave numbers. Numerical results are presented for models, which clearly illustrate the advantage of the new schemes.
	TO cite this article:FEI Dan-Dan,WANG Kun. Pollution-free Finite Difference Schemes for Fluid-Solid Interaction Problems in 1D[OL].[ 3 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4660092


	6. A novel genotyping algorithm for SNP detection using next generation sequencing data
	Huang Gongyi, You Na
	Mathematics 20 October 2015
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	Abstract:Genotyping the population using next generation sequencing data is essentially important for the rare variant detection. In order to distinguish the genomic structural variation from sequencing error, a statistical model is proposed, which involves the genotype effect through a latent variable to depict the distribution of non-reference allele frequency data among different samples and different genome loci, while decomposing the sequencing error into sample effect and positional effect. An ECM algorithm is implemented to estimate the model parameters, and then the genotypes are inferred based on the posterior probabilities. The performances of our proposed method are investigated via simulations and a real data analysis. Comparing to the existing methods, it is shown that our method can make less genotype-call errors.
	TO cite this article:Huang Gongyi, You Na. A novel genotyping algorithm for SNP detection using next generation sequencing data[OL].[20 October 2015] http://en.paper.edu.cn/en_releasepaper/content/4657982


	7. Zero-inflated Negative Binomial Model and its Application in Car Insurance
	Jiang Tingting,Huang Wei
	Mathematics 13 April 2015
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	Abstract:Under many circumstances, most car insurance data appears to be zero-inflated and their risks are nonhomogeneous. These lead to general traditional claim frequency models lost their prediction effect, so they are unsuitable to fit this kind of data. This paper is using the car insurance data for GINB model, ZINB model and C-ZINB model to do empirical research, the results demonstrate that the C-ZINB model can overcome the risk of homogeneity and zero inflation very well. In addition, C-ZINB model has good simulation prediction effect.
	TO cite this article:Jiang Tingting,Huang Wei. Zero-inflated Negative Binomial Model and its Application in Car Insurance[OL].[13 April 2015] http://en.paper.edu.cn/en_releasepaper/content/4638882


	8. On the limit quasi-shadowing property
	Fang Zhang, Yunhua Zhou
	Mathematics 10 April 2015
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	Abstract:The paper study the limit quasi-shadowing property for diffeomorphisms.This paper prove that any quasi-partially hyperbolic pseudoorbit ${x_{i},n_{i}}_{iin mathbb{Z}}$ can be $mathcal{L}^p$-, limit and asymptotic quasi-shadowed by a points sequence ${y_{k}}_{kin mathbb{Z}}$.Moreover, this paper also investigate the $mathcal{L}^p$-, limit and asymptotic quasi-shadowing properties for partially hyperbolic diffeomorphisms which are dynamically coherent.
	TO cite this article:Fang Zhang, Yunhua Zhou. On the limit quasi-shadowing property[OL].[10 April 2015] http://en.paper.edu.cn/en_releasepaper/content/4638485


	9. Traveling wavefronts solution for a reaction diffusion population modelwith delay
	Sun Cuina,Zhao Zhihong
	Mathematics 02 April 2015
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	Abstract:This paper is devoted to study of travelingwavefronts for a class of reaction-diffusion population model with discretedelay. By Constructing weak upper-lower solution, which are easy to construct in practice,and applying Schauder fixed point theorem, we prove that thereexists a constant $c^>0$ such that for each $cgeq c^$, themodel under consideration admits traveling wavefronts solutionwith speed $c.$
	TO cite this article:Sun Cuina,Zhao Zhihong. Traveling wavefronts solution for a reaction diffusion population modelwith delay[OL].[ 2 April 2015] http://en.paper.edu.cn/en_releasepaper/content/4637582


	10. Numerical study of a local discontinuous Galerkin method for the two-dimensional nonlinear Benney equation
	Leqiang Zou, Leilei Wei
	Mathematics 25 March 2015
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	Abstract:In this paper, we develop, analyze and test a local discontinuous Galerkin (LDG) finite element method for solvingthe two-dimensional nonlinear Benney equation. By choosing the numerical fluxes carefully we prove energystability and give an error estimate. Finally numerical example fornonlinear problem shows that the scheme attains the optimal$(k+1)$-th order of accuracy for piecewise $Q^k$ polynomials ofdegree $k$.
	TO cite this article:Leqiang Zou, Leilei Wei. Numerical study of a local discontinuous Galerkin method for the two-dimensional nonlinear Benney equation[OL].[25 March 2015] http://en.paper.edu.cn/en_releasepaper/content/4635769

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