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GENUINE-OPTIMAL CIRCULANT PRECONDITIONERS FOR WIENER-HOPF EQUATIONS

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Journal of Computational mathematics 2001年第6期19卷 629-638页

作者： Fu-rong Lin (Department of mathematics, shantou university, shantou 515063,china) 汕头大学广东汕头 515063

Discusses the genuine-optimal circulant preconditioner for finite-section Wiener-Hopf equations. Definition of the genuine-optimal circulant preconditioner; Use of the preconditioned conjugate gradient method; Numeric... 详细信息

关键词： Wiener-Hopf equations circulant preconditioner preconditioned conjugate gradient method quadrature rules Hilbert-Schmidt norm

A class of compactly supported symmetric/antisymmetric B-spline wavelets

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Progress in Natural Science:Materials International 2005年第2期15卷 31-36页

作者： YANG Shouzhi* and LOU Zengjian(Department of mathematics, shantou university, shantou 515063, china) Dept. of mathematics Shantou Univ. Shantou 515063 China

An algorithm for constructing a class of compactly supported symmetric/antisymmetric B-spline wavelets is presented. For any mth order and kth order cardinal B-spline Nm(x), Nk(x), if m+k is an even integer, the corresponding mth order B-spline wavelets ψkm(x) can be constructed, which are compactly supported symmetric/antisymmetric. In addition, if ψkm(x), m>1 is mth B-spline wavelet associated with two spline functions Nm(x) and Nk(x), then (ψkm(x))′(x) is m-1th B-spline wavelet associated with N m-1(x) and N k+1(x), i.e. (ψkm(x))′(x)=22ψ k+1 m-1(x). Similarly, ∫x0ψkm(t)dt, k>1 is m+1th B-spline wavelet associated with N m+1(x) and N k-1(x). Using this method, we recovered Chui and wang’s spline wavelets. Since a class of B-spline wavelets are symmetric/antisymmetric, their linear phase property is assured. Several examples are also presented.

关键词： compactly supported B-spline function B-spline wavelet symmetric antisymmetric

A SPLITTING ITERATION METHOD FOR DOUBLE X_0-BREAKING BIFURCATION POINTS

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Journal of Computational mathematics 1998年第3期16卷 267-274页

作者： Rui-song Ye (Institute of mathematics, shantou university, Guangdong 515063, china) Institute of mathematics Shantou University Guangdong 515063 China

A splitting iteration method is proposed to compute double X0-breaking bifurcation points. The method will reduce the computational work and storage, it converges linearly with an adjustable speed. Numerical computat... 详细信息

关键词： Double X0-breaking bifurcation point splitting iteration method extended system

Continuous maps with the whole space being a scrambled set

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Chinese Science Bulletin 1997年第19期42卷 1603-1606页

作者： MAI JiehuaInstitute of mathematics, shantou university, shantou 515063, china Institute of mathematics Shantou University Shantou China

1 A problem or scrambled setCHAOTIC behavior is a manifestation of complexity of nonlinear dynamical systems. Since theobjects, methods, aims, or emphases of study are distinct, there are some variant definitionsof chaos given by different authors, or given by the same author in his different works. Thefollowing definition mainly stems from Li and Yorke.

关键词： scrambled set expansive map analytic homeomorphism.

OCCUPATION TIME PROCESSES OF FLEMING-VIOT PROCESSES

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Chinese Annals of mathematics,Series B 1995年第1期16卷 51-62页

作者： XUELEI (Institute of mathematics, shantou university, shantou 515063, Guangdong, china.) 汕头大学数学所广东汕头 515063

ＯＣＣＵＰＡＴＩＯＮＴＩＭＥＰＲＯＣＥＳＳＥＳＯＦＦＬＥＭＩＮＧ－ＶＩＯＴＰＲＯＣＥＳＳＥＳ￥ＺＨＡＯＸＵＥＬＥＩ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｔｏｕＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｔｏｕ５１... 详细信息

ＯＣＣＵＰＡＴＩＯＮＴＩＭＥＰＲＯＣＥＳＳＥＳＯＦＦＬＥＭＩＮＧ－ＶＩＯＴＰＲＯＣＥＳＳＥＳ￥ＺＨＡＯＸＵＥＬＥＩ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｔｏｕＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｔｏｕ５１５０６３，Ｇｕａｎｇｄｏｎｇ，Ｃｈ...

关键词：职业时间过程渐近性质绝对连续马尔科夫链可能性测度

Smale horseshoe maps by 5-adic fractions

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Chinese Science Bulletin 1997年第10期42卷 799-803页

作者： MAI JiehuaInstitute of mathematics, shantou university, shantou 515063, china Institute of mathematics Shantou University Shantou China

SMALE established a famous horseshoe model,which shows that there exists a phe-nomenon of chaos in some self-homeomorphisms of discs on the plane although these homeo-morphisms are not very complex.A main conclusion o... 详细信息

关键词： Smale horseshoe symbolic space shift map S-adic fraction topological coqjugacy.

Commuting double Ockham algebras

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Science china mathematics 2008年第2期51卷 185-194页

作者： FANG Jie Department of mathematics,shantou university,shantou 515063,china Department of mathematics Shantou University Shantou China

In this paper,we study a certain class of double Ockham algebras (L;∧,∨,f,k,0,1), namely the bounded distributive lattices (L;∧,∨,0,1) endowed with a commuting pair of unary op- erations f and k,both of which are dual *** characterize the subdirectly irreducible members,and also consider the special case when both (L;f) and (L;k) are de Morgan *** show via Priestley duality that there are precisely nine non-isomorphic subdirectly irreducible members, all of which are simple.

关键词： subdirectly irreducible double Ockham algebra Priestley duality

A REMARK ON EXTINCTION OF A CLASS OF SUPERPROCESSES

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Chinese Annals of mathematics,Series B 1996年第1期17卷 115-120页

作者： ZHAO XUELEI (Institute of mathematics, Shatou university shantou 515063, china.) Institute of mathematics Shantou University Shantou 515063 China

The extinction of a class of superprocesses associated with general branching characterstics and underlying Markov processes is investigated. The extinction is closely associated with the branching characteristics and... 详细信息

关键词：消光非线性进化方程偏微分分支特征

An asymptotic result of super-Brownian motion on hyperbolic space

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Chinese Science Bulletin 1997年第15期42卷 1240-1244页

作者： TANG JiashanDepartment of mathematics, Beijing Normal university, Beijing 100875, china Institute of mathematics, shantou university, shantou 515063, china Department of mathematics Beijing Normal University Beijing China Institute of mathematics Shantou University Shantou China

SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little work on Riemannian manifold. In this note, wewill consider the super-Brownian motions on the hyperbolic space of dimension d and give anasymptotic result of this process (see Corollary 1 below). Iscoe investigated a similar prob-

关键词： hyperbolic space radial super-Brownian motion hitting probability asymptotic.