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There are 49 papers published in subject: since this site started.

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	1. The lowest order nonconforming finite element approximation to elliptic and parabolic interface problems
	Shi Dongyang ,Guan Hongbo,Guan Xiaofei
	Mathematics 04 March 2013
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	Abstract:This articleinvestigates the approximation to an elliptic interface problem withthe lowest order nonconforming linear triangular finite element(FE). Under some usual regularity assumptions on the exact solution,the optimal error estimates are obtained. In addition, this methodis applied to parabolic interface problems for a fully-discrete FEscheme, the optimal order estimates are also derived. The ideaprovided in this paper extends the application scope ofnonconforming FEs. Lastly, some numerical results are given toverify the theoretical analysis.
	TO cite this article:Shi Dongyang ,Guan Hongbo,Guan Xiaofei. The lowest order nonconforming finite element approximation to elliptic and parabolic interface problems[OL].[ 4 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4526345


	2. European option pricing with transaction costs and dividends under the long memory stochastic volatility model
	Liu Qian,Wang Xiaotian
	Mathematics 28 January 2013
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	Abstract:This paper deals with the problem of option pricing using the long memory stochastic volatility model with transaction costs and dividends. Through the 'anchoring and adjustment' argument, a European call option pricing formula is obtained. It has been shown that dividends and transaction costs play an important role in option pricing under the long memory stochastic volatility model.
	TO cite this article:Liu Qian,Wang Xiaotian. European option pricing with transaction costs and dividends under the long memory stochastic volatility model[OL].[28 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4512817

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	3. Radially symmetric solutions for a free boundary problem with superlinear reaction term
	Zhang Qunying,Lin Zhigui
	Mathematics 27 November 2012
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	Abstract:In this paper, the dynamical behavior of the solutions to a heat equationwith a free boundary in a high dimensional space is investigated. The local existence of solution isanalyzed using the contraction mapping theorem, then applying the energy inequality to thesolutions that depend not only on the initial value but also on the dimension of space,we derive the sufficient conditions under which solutions blow up. Finally, we explorethe long-time behavior of global solutions. Results show that the solution is globaland fast when initial value is small, while global but slow when initial value is large sufficiently.
	TO cite this article:Zhang Qunying,Lin Zhigui. Radially symmetric solutions for a free boundary problem with superlinear reaction term[OL].[27 November 2012] http://en.paper.edu.cn/en_releasepaper/content/4498507


	4. bounded states of one dimensional Schrodinger systems
	MA Li
	Mathematics 08 November 2012
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	Abstract:In this paper, we study the existence problem of boundstates of one dimensional nonlinear Schrodinger system via theblow-up method. Our result shows that there is a close relationbetween the Liouville type theorem about linear Schrodinger equationand the existence of bounded positive solutions of nonlinearSchrodinger system on the whole real line.
	TO cite this article:MA Li. bounded states of one dimensional Schrodinger systems[OL].[ 8 November 2012] http://en.paper.edu.cn/en_releasepaper/content/4494481


	5. Spectral Condition for a Graph to be Hamiltonian with respect to Normalized Laplacian
	FAN Yizheng,YU Guidong
	Mathematics 16 March 2012
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	Abstract:Let G be a graph and let Δ,δ be the maximum and minimum degrees of G respectively, where Δ/δ<c<√￣2 and c is a constant. In this paper we establish a sufficient spectral condition for G to be Hamiltonian, that is, the nontrivial eigenvalues of the normalized Laplacian of G are sufficiently close to 1.
	TO cite this article:FAN Yizheng,YU Guidong. Spectral Condition for a Graph to be Hamiltonian with respect to Normalized Laplacian[OL].[16 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4469947


	6. New extensions to the sumsets with polynomial restrictions
	Zhou Yue
	Mathematics 16 February 2012
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	Abstract:In this paper, new polynomial coefficients are obtained by taking the leading andthe second leading coefficients of the Morris identity. These coefficientslead to new results in the sumsets with polynomial restrictions by the polynomial method of N. Alon.
	TO cite this article:Zhou Yue. New extensions to the sumsets with polynomial restrictions[OL].[16 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4466594


	7. Thompson's group $F$ and Linear group $GL_{infty}(ZZ)$
	Wu Yan,Chen Xiaoman
	Mathematics 21 February 2011
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	Abstract:Thepaper proves that there is an injective Lipschitz map $arphi:(F, d_{S})longrightarrow(H,d)$,where $F$ is the Thompson's group, $d_{S}$ is the word-metric of $F$ with respect to the finite generating set $S={x_{0}, x_{1}}$, $H$ is a subgroup of the linear group $GL_{infty}(ZZ)$ and $d$ is a metric of $H$.
	TO cite this article:Wu Yan,Chen Xiaoman. Thompson's group $F$ and Linear group $GL_{infty}(ZZ)$[OL].[21 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4410900


	8. G- expectation, G- normal distribution and related problems
	YANG Zhi
	Mathematics 20 January 2011
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	Abstract:In this paper we study the academician Peng Shige's papers of the nonlinear expectation since 2005. Under this foundation we interpret some theories and resolve several problems of the theory of G-expectation, our results mainly are given in the form of proposition and theorem in this paper. It is worth mentioning that we get the Theorem 2.2.5 which given an interesting connection between the distribution function defined on the sublinear expectation spaces and the distribution function defined on the classical probability theory space.
	TO cite this article:YANG Zhi. G- expectation, G- normal distribution and related problems[OL].[20 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4407959


	9. Optimal Constant Weight Covering Codes
	ZHANG Xiande,ZHANG Hui,GE Gennian
	Mathematics 20 October 2010
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	Abstract:Let be the minimum size of a code over of length n, constant weight w, such that every word with weight t is within Hamming distance d of at least one codeword. In this paper, we determine for all n≥4, q=3, 4 or q= +1 with m≥2, leaving the only case (q,n)=(3,5) in doubt. Our construction method is mainly based on the auxiliary designs, H-frames, which play a crucial role in the recursive constructions of group divisible 3-designs similar to that of candelabra systems in the constructions of 3-wise balanced designs.
	TO cite this article:ZHANG Xiande,ZHANG Hui,GE Gennian. Optimal Constant Weight Covering Codes[OL].[20 October 2010] http://en.paper.edu.cn/en_releasepaper/content/4388830


	10. A Complete Generalization of Clatworthy Group Divisible Designs
	Gao Fei,Ge Gennian
	Mathematics 28 August 2010
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	Abstract:Partially balanced incomplete block designs (PBIBDs) have a long history and been extensively used in agriculture and industrial experiments. Since the book of Clatworthy on two-associate-class partially balanced designs was published in 1973, not much progress was made on the construction of these designs. Group divisible designs (GDDs) are an important type of PBIBDs with two associate classes. The existence of a GDD with block size k = 3 was completely settled by Fu, Rodger and Sarvate. In their works, the most difficult one was the case when the number of groups, m, is less than the block size k. The existence of GDDs when m < k is, in general, a difficult case to solve. Indeed, when k = 4, very little is known about the existence of such GDDs. In this paper, we present two general construction methods for GDDs. The first one is a generalization of Wilson's Fundamental Construction in combinatorial design theory. The second one is an extension of the traditional construction using double group divisible designs. As an application of our new construction methods, a complete solution is provided for GDDs that generalize all the eleven designs in the old table of Clatworthy which have block size four, three groups, and replication number at most 10. For these GDDs, no progress has been made until very recently.
	TO cite this article:Gao Fei,Ge Gennian. A Complete Generalization of Clatworthy Group Divisible Designs[OL].[28 August 2010] http://en.paper.edu.cn/en_releasepaper/content/4383564

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