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PRIMAL PERTURBATION SIMPLEX ALGORITHMS FOR LINEAR PROGRAMMING

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Journal of Computational mathematics 2000年第6期18卷 587-596页

作者： Ping-qi Pan (department of Applied mathematics, Southeast university, nanjing 210096, china.) 东南大学江苏南京 210096

In this paper, we propose two new perturbation simplex variants. Solving linear programming problems without introducing artificial variables, each of the two uses the dual pivot rule to achieve primal feasibility, and then the primal pivot rule to achieve optimality. The second algorithm, a modification of the first, is designed to handle highly degenerate problems more efficiently. Some interesting results concerning merit of the perturbation are established. Numerical results from preliminary tests are also reported. [ABSTRACT FROM AUTHOR]

关键词： linear programming perturbation primal simplex algorithm partially revised tableau

A NEW CLASS OF UNIFORMLY SECOND ORDERACCURATE DIFFRENCE SCHEMES FOR 2D SCALAR CONSERVATION LAWS

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Journal of Computational mathematics 1997年第4期15卷 311-318页

作者： Juan Cheng(department of Aerodynamics, nanjing university of Aeronautics & Astronautics,nanjing, china)Jia-zun Dai (department of mathematics, Physics and Mechanics, nanjing university of Aeronautics & Astronautics, nanjing, china) 南京航空航天大学空气动力学系江苏南京南京航空航天大学数学系江苏南京

In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws,we construct a class of uniformly second order accurate finite difference schemes, which are based on the E-schemes. By applying the conver gence theorem of Coquel-Le Floch [1], the family of approximate solutions defined by the scheme is proven to converge to the unique entropy weak L∞-solution. Furthermore, some numerical experiments on the Cauchy problem for the advection equation and the Riemann problem for the 2D Burgers equation are given and the relatively satisfied result is obtained.

关键词： Math A NEW CLASS OF UNIFORMLY SECOND ORDERACCURATE DIFFRENCE SCHEMES FOR 2D SCALAR CONSERVATION LAWS high Ph

Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces

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Chinese Science Bulletin 1997年第1期42卷 8-11页

作者： LI Gang and MA Jipu1. department of mathematics, Yangzhou Normal College, Yangzhou 225002, china 2. department of mathematics, nanjing university, nanjing 210093, china department of mathematics Yangzhou Normal College Yangzhou China department of mathematics Nanjing University Nanjing China

LET G be a semitopological semigroup, i. e. G is a semigroup with a Hausdorff topology such that for each s∈G the mapping s|→s·t and s|→t·s from G to G are continuous. G is called right reversible if any two closed left ideals of G have non-void intersection. In this case, (G,≤) is a directed system when the binary relation '≤' on G is defined by a≤b if and only if Let E be the uniformly convex Banach space

关键词： nonlinear semigroup ergodic theorem non-Lipschitzian mapping.

Non-p-generic and Strongly Nonbranching Degree

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Acta Mathematica Sinica,English Series 1994年第1期10卷 30-41页

作者： Ding Decheng department of mathematics nanjing university nanjing,210008 china 1. department of mathematics Nanjing University 210008 Nanjing China

It has been proved by the author that every p-generic degree is *** this paper we construct an *** which is strongly nonbranching and *** means that the class of nonbranching degrees does not coincide with the class o... 详细信息

关键词： Non-p-generic and Strongly Nonbranching Degree NB

MULTIVALUED PERTURBATION TO NONLINEAR DIFFERENTIAL INCLUSIONS WITH MEMORY IN BANACH SPACES

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Chinese Annals of mathematics,Series B 1996年第2期17卷 237-244页

作者： XUEXINGMEI SONGGUOZHU departmentofMathemtics＆Mechanics SoutheastUniversityNanjing210018China. departmentofmathematics NanjingUniversityNanjing210008China.

The authors give the existence results to the nonlinear differential inclusion u'(t) ∈ Au(t) +F(t,ut), where A is a ganerator of equicontinuous semigroup and F is multivalued.

关键词： Differential inclusion with memory Equicontimuous semigroup Housdorff measure Kamke function

Formation and evolution of X-ray binaries

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Science china(Physics,Mechanics & Astronomy) 2010年第S1期53卷 9-13页

作者： LI XiangDong department of Astronomy,nanjing university,nanjing 210093,china 1. department of Astronomy Nanjing University Nanjing 210093 China

We review recent progress in theoretical understanding of X-ray binaries,which has largely been driven by new *** select several topics including formation of compact low-mass X-ray binaries,the evolutionary connection between low-mass X-ray binaries and binary and millisecond radio pulsars,and ultraluminous X-ray sources,to illustrate the interplay between theories and observations.

关键词： X-ray binaries pulsars mass transfer stellar evolution

Study on the thermal stability and electrical properties of the high-k dielectrics (ZrO_2) _x(SiO_2)_(1-x)

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Science china(Technological Sciences) 2009年第8期52卷 2222-2226页

作者： Lü ShiCheng1,2, YIN Jiang1,2, XIA YiDong2,3, GAO LiGang2,3 & LIU ZhiGuo2,3 1 department of Physics, nanjing university, nanjing 210093, china 2 National Laboratory of Solid Sate Microstructures, nanjing university, nanjing 210093, china 3 department of Materials Science and Engineering, nanjing university, nanjing 210093, china 1. department of Physics Nanjing University Nanjing 210093 China 2. National Laboratory of Solid Sate Microstructures Nanjing University Nanjing 210093 China 3. department of Materials Science and Engineering Nanjing University Nanjing 210093 China

(ZrO2)x(SiO2)1-x (Zr-Si-O) films with different compositions were deposited on p-Si(100) substrates by using pulsed laser deposition technique. X-ray photoelectron spectra (XPS) showed that these films remained amorphous after annealing at 800℃ with RTA process in N2 for 60 s. The XPS spectra indi- cated that Zr-Si-O films with x=0.5 suffered no obvious phase separation after annealing at 800℃, and no interface layer was formed between Zr-Si-O film and Si substrate. While Zr-Si-O films with x >0.5 suffered phase separation to precipitate ZrO2 after annealing under the same condition, and SiO2 was formed at the interface. To get a good interface between Zr-Si-O films and Si substrate, Zr-Si-O films with bi-layer structure (ZrO2)0.7(SiO2)0.3/(ZrO2)0.5(SiO2)0.5/Si was deposited. The electrical properties showed that the bi-layer Zr-Si-O film is of the lowest equivalent oxide thickness and good interface with Si substrate.

关键词： high-k dielectric film pulsed laser deposition pseudo ternary alloy

HUBER'S M-ESTIMATOR ON UNDERDETERMINED PROBLEMS

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Journal of Computational mathematics 1995年第2期13卷 130-143页

作者： Wang Jia-song Tang Sheng-rong (department of mathematics, nanjing university, nanjing, china) 南京大学数学系江苏南京

After surveying the theoretical aspects of Huber's M-estimator on underdeter-mined problems, two finite algorithms are presented. Both proceed in a construc-tive manner by moving from one partition to an adjacent one. One of the algorithm,which uses the tuning constant as a continuation parameter, also has the facility to simultaneously estimate the tuning constant and scaling factor. Stable and efficient implementation of the algorithms is presented together with numerical results. The L1-norm problem is mentioned as a special case.

关键词： Za Pro HUBER’S M-ESTIMATOR ON UNDERDETERMINED PROBLEMS

Diophantine vectors in analytic submanifolds of Euclidean spaces

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Science china mathematics 2007年第9期50卷 1334-1338页

作者： Rong-mei CAO~(1+) Jian-gong YOU~2 1 College of Science,nanjing university of Aeronautics and Astronautics,nanjing 210016,china 2 department of mathematics,nanjing university,nanjing 210093,china 1. College of Science Nanjing University of Aeronautics and Astronautics Nanjing 210016 China 2. department of mathematics Nanjing University Nanjing 210093 China

Let $\mathcal{M}$ be an m-dimensional analytic manifold in ? n . In this paper, we prove that almost all vectors in $\mathcal{M}$ (in the sense of Lebesgue measure) are Diophantine if there exists one Diophantine vect... 详细信息

关键词： diophantine vector analytic submanifold 32C05