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Mathematical stencil and its application in finite difference approximation to the Poisson equation

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Science china mathematics 2005年第10期48卷 1421-1429页

作者： FENG Hui~1 ZHANG Baolin~(1,2) & LIU Yang~1 1. Department of mathematics,wuhan University,wuhan 43.072,{3. 2. Laboratory of Computational physics,institute of Applied physics and Computational mathematics,Beijing 100088. china 1. Department of mathematics Wuhan University 430072 Wuhan China 2. Laboratory of Computational physics Institute of Applied Physics and Computational Mathematics 100088 Beijing China

The concept of mathematical stencil and the strategy of stencil elimination for solving the finite difference equation is presented, and then a new type of the iteration algorithm is established for the Poisson equation. The new algorithm has not only the obvious property of parallelism, but also faster convergence rate than that of the classical Jacobi iteration. Numerical experiments show that the time for the new algorithm is less than that of Jacobi and Gauss-Seidel methods to obtain the same precision, and the computational velocity increases obviously when the new iterative method, instead of Jacobi method, is applied to polish operation in multi-grid method, furthermore, the polynomial acceleration method is still applicable to the new iterative method.

关键词： mathematical stencil, stencil elimination, Poisson equation, finite difference, iterative algorithm,parallelism.

The feature study on the π and proton rapidity distributions at AGS, SPS and RHIC

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Science china(physics,Mechanics & Astronomy) 2009年第2期52卷 198-206页

作者： FENG ShengQin1,2 & YUAN XianBao1,3.1 College of Science, china Three Gorges University, Yichang 443.02, china 2 School of physics and Technology, {3. University, {3. 43.072, china 3.institute of Particle physics, Central china Normal University, {3. 43.070, china 1. College of Science China Three Gorges University Yichang 443002 China 2. School of physics and Technology Wuhan University Wuhan 430072 China 3. institute of Particle physics Central China Normal University Wuhan 430070 China

The features of nuclear stopping power and multi-hadron production systematically are studied by making an analysis of rapidity distributions of pion and proton at AGS, SPS and RHIC in this work. It is found that nuclear stopping power increases linearly with project rapidity yp at AGS and SPS, but that is not liner at RHIC. It is argued that the average rapidity loss is saturated at central rapidity region at RHIC. For pion distribution, it is found that the phase space of pion distribution distributes uniformly in the longitudinal direction,and a linear relationship of L with log s is given at AGS and SPS. Non-uniform flow model may explain the features of the distribution at AGS and SPS, but may not ex- plain those of at RHIC.

关键词： non-uniform flow model average rapidity loss baryon number density nuclear stopping power

A study of two-dimensional magnetic polaron

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Science china(physics,Mechanics & Astronomy) 2006年第4期49卷 421-429页

作者： LIU Tao1, ZHANG Huaihong1, FENG Mang1,2 & WANG Kelin1,3.1. School of Science, Southwest University of Science and Technology, Mianyang 621010, china 2. wuhan institute of {3. and mathematics, Chinese Academy of Sciences, wuhan 43.070, china 3. Department of Modern {3., University of Science and Technology of china, Hefei 23.026, china School of Science Southwest University of Science Technology Mianyang 621010 China wuhan institute of physics mathematics Chinese Academy of Sciences Wuhan 430070 China Department of Modern physics University of Science Technology of china Hefei 230026 China

By using the variational method and anneal simulation, we study in this paper the self-trapped magnetic polaron (STMP) in two-dimensional anti-ferromagnetic material and the bound magnetic polaron (BMP) in ferromagnetic material. Schwinger angular momentum theory is applied to changing the problem into a coupling problem of carriers and two types of Bosons. Our calculation shows that there are single-peak and multi-peak structures in the two-dimensional STMP. For the ferromagnetic material, the properties of the two-dimensional BMP are almost the same as that in one-dimensional case; but for the anti-ferromagnetic material, the two-dimensional STMP structure is much richer than the one-dimensional case.

关键词： self-trapped magnetic polaron, bound magnetic polaron, impurity potential, anti-ferromagnet.

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

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Acta Mathematica Scientia 1999年第3期19卷 272-278页

作者：李炳章余旌胡 wuhan Univ Dept Math Wuhan 430072 Peoples R China Acad Sinica Wuhan Inst Phys & Math Wuhan 430071 Peoples R China

This paper investigates the property of super-Brownian motion conditioned on non-extinction. The authors obtain a representation of Laplace functional for the weighted occupation time of this class of processes. By th... 详细信息

关键词： super-Brownian motion non-extinction weighted occupation the support of measure

PARTIAL BOCHNER INTEGRABILITY (I)

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Acta Mathematica Scientia 1999年第3期19卷 293-299页

作者：陈泽乾 Chinese Acad Sci Wuhan Inst Phys & Math Wuhan 430071 Peoples R China

This paper is concerned with partial Bochner integrals with emphasis on a geometrical study of partial Bochner integrability. Convex sets involving the range of L-1-bounded functions are constructed. These constructio... 详细信息

关键词： Banach space norming set partial Bochner integral

Quantitative amendment of high-field ^(13.C NMR spectra of coals

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Chinese Science Bulletin 1997年第10期42卷 807-809页

作者： YANG Baolian, LI Liyun and YE ChaohuiLaboratory of Magnetic Resonance and Atomic and Molecular physics, wuhan institute of physics and mathematics, Chinese Academy of Sciences, wuhan 43.071, china Laboratory of Magnetic Resonance and Atomic and Molecular physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan China

HIGH-RESOLUTION solid state 13. NMR spectroscopy has been a useful tool for the study of *** the use of cross polarization（CP）,magic angle spinning（MAS）and protonhigh-power decoupling（HPD）techniques,high-resolut... 详细信息

HIGH-RESOLUTION solid state 13./sup>C NMR spectroscopy has been a useful tool for the study of *** the use of cross polarization（CP）,magic angle spinning（MAS）and protonhigh-power decoupling（HPD）techniques,high-resolution solid state 13./sup>C NMR spectra ofcoals can be obtained and the coal aromaticity（fa）can be measured *** aromaticityis defined as the ratio of aromatic carbon atoms to the total carbon atoms in *** pa-

关键词： 13. NMR coal structure quantitative amendment.

Riemann boundary value problems and reflection of shock for the Chaplygin gas

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Science china mathematics 2012年第4期55卷 671-685页

作者： CHEN ShuXing 1,& QU AiFang 2 1 School of Mathematical Sciences,Fudan University,Shanghai 20043.,china 2 wuhan institute of physics and mathematics,Chinese Academy of Sciences,wuhan {3.,china 1. School of Mathematical Sciences Fudan University Shanghai 200433 China2. Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China

In this paper,we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively,where one sector is a quadrant and the other one has an acute vertex *** prove that the Riemann boundary value problem admits a global self-similar solution,if either the initial states are close,or the smaller sector is also near a *** result can be applied to solving the problem of shock reflection by a ramp.

关键词： Riemann boundary value problem reflection of shock Chaplygin gas wave interaction Eulersystem

NORMAL FAMILY OF COMPOSITIONS OF HOLOMORPHIC FUNCTIONS AND THEIR HIGH ORDER DERIVATIVES

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Acta Mathematica Scientia 2003年第4期23卷 544-548页

作者：邓方文 wuhan institute of physics and {3. CAS Wuhan 430071 China

Let F = {f} be a family of entire functions and f(k) the k-th derivative of f. The author studies the relation of the nomality of F and that of {f(k) o f : f ∈F} or {f o f(k):f∈F}.

关键词： Normality entire function

Randomization of Q_(p) spaces on the unit ball of C^(n)

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Science china mathematics 2005年第z1期48卷 306-317页

作者： LI Bo & OUYANG Caiheng Department of mathematics, State University of New York at Buffalo, Buffalo, NY 14260, USA wuhan institute of {3. and mathematics, Chinese Academy of Sciences, wuhan 43.071, china SUNY Buffalo Dept Math Buffalo NY 14260 USA Chinese Acad Sci Wuhan Inst Phys & Math Wuhan 430071 Peoples R China

In this paper, we study the random power series of several complex variables,and give some sufficient conditions for random power series to belong to Qp and Qp,0spaces by means of their characterizations of Carleson m... 详细信息

关键词： random power series, function spaces, the unit ball.