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Line bundles on non-primary Hopf manifolds

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Science china mathematics 2004年第4期47卷 538-551页

作者： LIU Weiming & ZHOU Xiangyuinstitute of mathematics,{2., chinese academy of sciences, beijing 100080, china Department of mathematics, Zhejiang University, Hangzhou 31002., china 1. institute of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences 100080 Beijing China 2. Department of mathematics Zhejiang University 310028 Hangzhou China

Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) using the method of group action and the generalized Douady... 详细信息

关键词： Hopf surface, cohomology, line bundle, sections.

Adaptive computation for convection dominated diffusion problems

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Science china mathematics 2004年第z1期47卷 22-31页

作者： CHEN Zhiming & Jl GuanghuaLSEC, institute of Computational mathematics,{2., chinese academy of sciences, beijing 100080, china institute of Computational mathematics,{2., chinese academy of sciences, beijing 100080, china (email:ghji@***) 1. LSEC Institute of Computational Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences 100080 Beijing China 2. institute of Computational mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences 100080 Beijing China

We derive sharp L∞(L1) a posteriori error estimate for the convection dominated diffusion equations of the formThe derived estimate is insensitive to the diffusion parameter ε→0. The problem is dis-cretized implicitly in time via the method of characteristics and in space via continuous piecewise linear finite elements. Numerical experiments are reported to show the competitive behavior of the proposed adaptive method.

关键词： a posteriori error estimator, characteristics, adaptive.

MODELLING AND NUMERICAL SOLUTIONS OF A GAUGE PERIODIC TIME DEPENDENT GINZBURG-LANDAU MODEL FOR TYPE-Ⅱ SUPERCONDUCTORS

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Journal of Computational mathematics 1997年第4期15卷 365-384页

作者： Zhi-ming Chen (institute of mathematics,{2., beijing, china) 中科院数学所北京

In this paper we seek the solutions of the time dependent Ginzburg-Landau model for type-Ⅱ superconductors such that the associated physical observables are spatially periodic with respect to some lattice whose basic lattice cell is not necessarily rectangular. After appropriately foring the gange, the model can be formulated as a system of nonlinear parabolic partial differential equations with quasi-periodic boundary conditions. We first give some results concerning the existence, uniqueness and regularity of solutions and then we propose a semiimplicit finite element scheme solving the system of nonlinear partial dmerential equations and show the optimal error estimates both in the L2.and energy *** also report on some numerical results at the end of the paper.

关键词： Math QT MODELLING AND NUMERICAL SOLUTIONS OF A GAUGE PERIODIC TIME DEPENDENT GINZBURG-LANDAU MODEL FOR TYPE SUPERCONDUCTORS

SHRIMP ages of detrital zircons from the Changcheng system in the Ming Tombs area,beijing:Constraints on the protolith nature and maximum depositional age of the Mesoproterozoic cover of the North{2. Craton

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chinese Science Bulletin 2003年第22期48卷 2500-2506页

作者： WAN Yusheng1,2. ZHANG Qiaoda1 & SONG Tianrui1 1. institute of Geology, chinese {2. of Geological sciences, beijing 100037, china 2. beijing SHRIMP Laboratory, beijing 100037, china Correspondence should be addressed to Wan Yusheng (e-mail: wanyusheng@***) institute of Geology Chinese Academy of Geological Sciences Beijing 100037 China

The Mesoproterozoic Changcheng system is widely distributed in the North china Craton. Determining its time of deposition and sources is important to understand the Precambrian crustal evolution of the North china Craton. This paper suggests age distribution patterns for detrital zircons from clastic sediments of the Changcheng system in the Ming Tombs area, beijing. Samples of feldspar-bearing sandstone (CHc-2. and pure sandstone (CHc-9) were collected from the Changzhougou Formation, which constitutes the basal part of the Changcheng system. Detrital zircons show an age range from 2.35 to 2.60 Ga. However, sample CHc-9 in the upper Changzhougou Formation also contains some zircons with ages of 1.9-1.8 Ga and 2.3-2.1 Ga. The age patterns lead to the following conclusions: (1) Most of the detrital material came from a source area composed predominantly of ~2.5 Ga continental crust of the North china Craton; (2. 1.9-1.8 Ga reflects the age record of Palaeoproterozoic continent-continent collisional event in the North china Craton; and (3) the oldest age for deposition of the Changcheng system is 1.8 Ga.

关键词：锆石原岩中国北部地区地壳演变

Global asymptotic stability of a two species competitive system with stage structure and harvesting

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Communications in Nonlinear Science and Numerical Simulation 2001年第2期6卷 81-87页

作者： Xinyu SONG and Lansun CHEN Department of mathematics, Xinyang Teachers College, Henan 464000, china {2. of mathematics, academy of mathematics and system sciences, chinese academy of sciences, beijing 100080, china Department of mathematics Xinyang Teachers College Henan 464000 China institute of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China

The dynamics of a two species competitive system, where the species one has two stages, a immature stage and a mature stage with harvesting, and the growth of the species two is of Lotka-Volterra nature, is modelled by a system of retarded functional differential equations. We obtain the conditions for global asymptotic stability of three nonnegative equilibria and the threshold of harvesting mature population. The effect of the delay on the population at equilibrium and the optimal harvesting of mature population are also considered.

关键词： optimal harvesting stage structure competitive system global asymptotic stability.

Recovery of the scale-ε2.pattern by lattice BGK model

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Communications in Nonlinear Science and Numerical Simulation 2001年第1期6卷 40-44页

作者： Guangwu YAN and Li YUAN (institute of Computational mathematics,{2., chinese academy of sciences, beijing 100080, china Department of mathematics, Jinn University, Chongchun 13002., china) Inst. of Computational mathematics Acad. of Math. and System Sciences Chinese Academy of Sciences Beijing 100080 China Department of mathematics Jilin University Changchun 130023 China

A lattice BGK method for nonlinear chemical reactions is described. Since the equation does not possess the convect terms, we can easily get the equilibrium distribution functions of the lattice BGK models. Using this... 详细信息

关键词： lattice BGK method Turing pattern mosaic structure

ON THE HYPER ORDER OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS

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chinese Annals of mathematics,Series B 2003年第4期24卷 501-508页

作者： CHEN ZONGXUAN Department of mathematics, Jiangxi Normai University, Nanchang 33002., china. {2. of mathematics, academy of mathematics and system sciences, chinese academy of sciences, beijing 100080, china. Jiangxi Normal Univ Dept Math Nanchang 330027 Peoples R China chinese Acad Sci Acad Math & Syst Sci Inst Math Beijing 100080 Peoples R China

The author investigates the hyper order of solutions of the higher order linear equation, andimproves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12..

关键词： Differential equation Entire function Hyper order

ON THE ERROR ESTIMATE OF NONCONFORMING FINITE ELEMENT APPROXIMATION TO THE OBSTACLE PROBLEM

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Journal of Computational mathematics 2003年第4期21卷 481-490页

作者： Lie-heng Wang(LSEC, ICMSEC, academy of mathematics and system sciences, chinese academy of sciences,{2. 100080, china) LSEC ICMSEC Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China

This paper is devoted to analysis of the nonconforming element approximation to the obstacle problem, and improvement and correction of the results in [11], [12..

关键词： Obstacle problem Nonconforming finite element.

A V-CYCLE MUTIGRID FOR QUADRILATERAL ROTATED Q_1 ELEMENT WITH NUMERICAL INTEGRATION

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Journal of Computational mathematics 2003年第5期21卷 545-554页

作者： Zhong-ci Shi Xue-jun Xu(LSEC, institute of Computational mathematics,{2., chinese academy of sciences, beijing 100080, china) 中科院数学与系统科学院 LSEC CAS 北京 100080

In this paper, a V-cycle multigrid method is presented for quadrilateral rotated elements with numerical integration.

关键词： Multigrid Rotated Q1 elements Numerical integration.