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Arc-transitive cubic Cayley graphs on PSL(2,p)

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Science china mathematics 2005年第10期 3-14页

作者： DU Shaofei & WANG Furong department of mathematics,capital normal university,beijing 100037,china

For a prime p at least 5,let T=PSL(2,p).This paper gives a classification of the connected arc-transitive cubic Cayley graphs on T and a determination of the gener- ated pairs ((?),(?)) of T such that o((?))=2 and o((... 详细信息

关键词： are-transitive graph Cayley-graph simple group PSL(2,p)

Bergman kernels on generalized Hua domains

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Progress in Natural Science:Materials International 2002年第12期 15-21页

作者： YIN Weiping and SU Jianbing(1. department of mathematics, capital normal university, beijing 100037, china 2. department of mathematics, Xuzhou normal university, Xuzhou 221116, china) department of mathematics，capital normal university，beijing 100037，china department of mathematics，capital normal university，beijing 100037，china department of mathematics，Xuzhou normal university，Xuzhou 221116，china

The Bergman kernel functions with explicit formulas of the generalized Hua domains are obtained. And the holomorphic automorphism group for each generalized Hua domain is also given.

关键词： generalized Hua domain Bergman kernels holomorphic automorphism group.

RESERVOIR DESCRIPTION BY USING A PIECEWISE CONSTANT LEVEL SET METHOD

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Journal of Computational mathematics 2008年第3期26卷 365-377页

作者： Hongwei Li Center for Integrated Petroleum Research,university of Bergen,Norway department of mathematics,capital normal university,beijing 100037,china Xuecheng Tai department of mathematics,university of Bergen,Norway Division of Mathematical Sciences,School of Physical and Mathematical Sciences,Nanyang Technological university,Singapore Sigurd Ivar Aanonsen Center for Integrated Petroleum Research,university of Bergen,Norway department of mathematics,university of Bergen,Norway Center for Integrated Petroleum Research University of Bergen Norway department of mathematics Capital Normal University Beijing 100037 China department of mathematics University of Bergen Norway Division of Mathematical Sciences School of Physical and Mathematical Sciences Nanyang Technological University Singapore

We consider the permeability estimation problem in two-phase porous media flow. We try to identify the permeability field by utilizing both the production data from wells as well as inverted seismic data. The permeability field is assumed to be piecewise constant, or can be approximated well by a piecewise constant function. A variant of the level set method, called Piecewise Constant Level Set Method is used to represent the interfaces between the regions with different permeability levels. The inverse problem is solved by minimizing a functional, and TV norm regularization is used to deal with the ill-posedness. We also use the operator-splitting technique to decompose the constraint term from the fidelity term. This gives us more flexibility to deal with the constraint and helps to stabilize the algorithm.

关键词： Inverse problem Level set method Piecewise constant Operator splitting,Reservoir description

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Einstein-Khler metric on Cartan-Hartogs domain of the second type

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Progress in Natural Science:Materials International 2004年第3期 9-20页

作者： ZHAO Xiaoxia 1, ZHANG Liyou 2 and YIN Weiping 2*(1. department of Computer Science, beijing Language and Culture university 2. department of mathematics, capital normal university, beijing 100037, china)

The Einstein Khler metric for the Cartan Hartogs domain of the second type is described. Firstly, the Monge Ampère equation for the metric to an ordinary differential equation in the auxiliary function X=X(z,w) is reduced, by which an implicit function in X is obtained. Secondly, for some cases, the explicit forms of the complete Einstein Khler metrics on Cartan Hartogs domains which are the non homogeneous domains are obtained. Thirdly, the estimate of holomorphic sectional curvature under the Einstein Khler metric is given, and in some cases the comparison theorem for Kobayashi metric and Einstein Khler metric on Cartan Hartogs domain of the second type is established.

关键词： Cartan Hartogs domain Einstein Khler metric non homogeneous domain comparison theorem.

Busemann functions on （?）RI（m,n）and（?）IV（n）

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Progress in Natural Science:Materials International 2003年第3期 15-20页

作者： LI Qingzhong , SU Jianbing and JIANG Xiaofa (1. department of mathematics, capital normal university, beijing 100037, china 2. department of mathematics, Xuzhou normal university, Xuzhou 221116, china)

The Busemann function plays a very important role in studying topology and geometry of a complete Riemannian mani-fold. In this paper, the Busemann functions on the real classical domain of the first type and the Cart... 详细信息

关键词： Bnsemann function geodesic ray Cartan doroain of the fourth type.

The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type

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Progress in Natural Science:Materials International 2004年第2期 9-16页

作者： ZHAO Xiaoxia 1, DING Li 2 and YIN Weiping 3*(1. department of Computer Science, beijing Language and Culture university, beijing 100083 2. Fundamental department, beijing Technology and Business university, beijing 100037 3. department of mathematics, capital normal university, beijing 100037, china )

In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type Y II (N,p,K) is presented and an invariant Klher metric which is complete and not less than the Bergman metric is constructed, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence a comparison theorem for the Bergman and Kobayashi metrics on Y II (N,p,K) is obtained.

关键词： Bergman metric Kobayashi metric Klher metric.

跳跃非线性项依赖于导数的二阶微分方程周期解的存在性

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数学年刊（A辑） 2003年第1期24卷 47-58页

作者：王在洪首都师范大学数学系北京100037

本文研究二阶微分方程χ"+aχ+-bχ-+f(χ)g(χ'=p(t)周期解的存在性,这里χ+=max{χ,0},χ-=max{-χ,0},a,6是正常数并且点(a,b)位于某一条Fucik谱曲线上.当g(χ)的极限lim.g(χ)=g(+∞),lim g(χ)=g(-∞)和f(χ)的极限lim,g(χ)=f(+∞... 详细信息

关键词：跳跃非线性项 Fucik谱曲线周期解二阶微分方程

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第三类华罗庚域的Bergman核函数

数学年刊（A辑） 2003年第1期24卷 81-90页

作者：殷慰萍赵晓霞首都师范大学数学系北京100037

本文主要是计算第三类华罗庚域的Bergman核函数的显式表达式.由于华罗庚域既不是齐性域又不是Reinhardt域,故以往求Bergman核函数的方法都行不通.本文用新的方法进行计算.关键之处有两点:一是给出第三类华罗庚域的全纯自同构群,群中每... 详细信息

本文主要是计算第三类华罗庚域的Bergman核函数的显式表达式.由于华罗庚域既不是齐性域又不是Reinhardt域,故以往求Bergman核函数的方法都行不通.本文用新的方法进行计算.关键之处有两点:一是给出第三类华罗庚域的全纯自同构群,群中每一元素将形为(W,Z0)的内点映为点(W*,0);二是引进了semi—Reinhardt的概念并求出了其完备标准正交函数系.

关键词：华罗庚域 Bergman核函数全纯自同构群完备标准正交函数系

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Difference Discrete Variational Principle in Discrete Mechanics and Symplectic Algorithm

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Difference Discrete Variational Principle in Discrete Mechan...