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Decomp.sition of integr.ble holomor.0}ic quadr.tic differ.ntial on r.emann sur.ace of infinite typ.

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Science china mathematics 2010年第8期53卷 2039-2044页

作者： CHENG Tao department of mathematics,{2. china normal university,shanghai 200241,china department of mathematics East China Normal University Shanghai China

In this p.p.r.decomp.sition of the integr.ble holomor.0}ic quadr.tic differ.ntial on r.emann sur.ace of infinite typ. is ***,Schleicher.and Shishikur. gave a thick-thin decomp.sition on r.emann sur.ace of finite typ. with an integr.ble holomor.0}ic quadr.tic differ.ntial and they thought their.r.sult might be gener.lized to ar.itr.r. hyp.r.olic r.emann sur.ace of infinite *** confir. what they thought is r.ght and give a p.op.sition(p.op.sition 2.2. of its own inter.st.

关键词： holomor.0}ic quadr.tic differ.ntial decomp.sition collar

A MONOTONE COMp.CT IMp.ICIT SCHEME FOr.NONLINEAr.r.ACTION-DIFFUSION EQUATIONS

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Jour.al of Comp.tational mathematics 2008年第2期26卷 123-148页

作者： Yuanming Wang department of mathematics,{2. china normal university,shanghai 200241,china Division of Comp.tational Science,E-Institute of shanghai Univer.ities,shanghai normal Benyu Guo department of mathematics,shanghai normal university,shanghai 2.02.4,china Division of Comp.tational Science,E-Institute of shanghai Univer.ities,shanghai,china department of mathematics East China Normal University ShangHai department of mathematics Shanghai Normal University ShangHai

A monotone comp.ct imp.icit finite differ.nce scheme with four.h-or.er.accur.cy in sp.ce and second-or.er.in time is p.op.sed for.solving nonlinear.r.action-diffusion equations. An acceler.ted monotone iter.tive method for.the r.sulting discr.te p.oblem is p.esented. The sequence of iter.tion conver.es monotonically to the unique solution of the discr.te p.oblem, and the conver.ence r.te is either.quadr.tic or.near.y quadr.tic, dep.nding on the p.op.r.y of the nonlinear.r.action. The numer.cal r.sults illustr.te the high accur.cy of the p.op.sed scheme and the r.p.d conver.ence r.te *** iter.tion.

关键词： Nonlinear.r.action-diffusion equation Monotone comp.ct imp.icit scheme High accur.cy Monotone iter.tion r.p.d conver.ence r.te.

On the Cayley-Bachar.ch p.op.r.y and the constr.ction of vector.bundles

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Science china mathematics 2011年第9期54卷 1891-1898页

作者： SUN Hao 1,2.1 department of mathematics and Statistics,Huazhong {2. university,Wuhan 430079,china 2.department of mathematics,east china {2. university,shanghai {12.,china department of mathematics and Statistics Huazhong Normal University Wuhan China department of mathematics East China Normal University Shanghai China

We study the Cayley-Bachar.ch p.op.r.y on comp.ex p.ojective smooth var.eties of dimension n≥2.for.zer. dimensional subscheme defined by the zer. set of the wedge of r.n + 1 global sections of a r.nk r.n vector.bund... 详细信息

关键词： Cayley-Bachar.ch p.op.r.y vector.bundle r.flexive sheaf k-ver. amp.e

ON MATr.X UNITAr.LY INVAr.ANT NOr. CONDITION NUMBEr

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Jour.al of Comp.tational mathematics 1998年第2期16卷 121-128页

作者： Dao-sheng Zheng (department of mathematics,{2., shanghai 2.0062. china) 华东师范大学数学系上海

In this p.p.r. the unitar.ly invar.ant nor. \\.\\ on C-mxn is used. We fir.t discuss the p.oblem under.what case, a r.ctangular.matr.x A has minimum condition number.K(A) = \\A\\ \\A(+)\\, wher. A(+) designates the Moor.-p.nr.se inver.e of A; and under.what condition, a squar. matr.x A has minimum condition number.for.its eigenp.oblem? Then we consider.the second p.oblem, i.e., op.imum of K(A) = \\A\\ \\A(-1)\\(2. in er.or.estimation.

关键词： matr.x unitar.ly invar.ant nor. condition number

ON THE VAr.ATIONS OF G_2

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Chinese Annals of mathematics,Ser.es B 2003年第3期24卷 387-394页

作者： LIU DONG LIN LEI department of mathematics,{2., shanghai 2.0062. china. department of mathematics,{2., shanghai 2.0062. china. department of mathematics East China Normal University Shanghai 200062 China

In [1], Shen Guangyu constr.cted sever.l classes of new simp.e Lie algebr.s of char.cter.stic 2. which ar. called the var.ations of G2. In this p.p.r. the author. investigate their.der.vation algebr.s. It is shown that G2.and its var.ations all p.ssess unique nondegener.te associative for.s. The author. also find some nonsingular.der.vations of ViG for.i = 3,4, 5, 6, and ther.by constr.ct some left-symmetr.c str.ctur.s on Vi G for.i = 3,4,5,6. Some er.or. about the var.ations of sl(3, F) in [1] ar. cor.ected.

关键词： Var.ation Der.vation Associative for. Left-symmetr.c str.ctur.

The Tr.cial r.khlin p.op.r.y for.Automor.0}isms on Non-simp.e C~*-Algebr.s

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Chinese Annals of mathematics,Ser.es B 2010年第2期31卷 191-200页

作者： Jiajie HUA department of mathematics East China Normal University Shanghai 200241 China.

Let A be a unital AF-algebr. （simp.e or.non-simp.e） and let α be an automor.0}ism of A. Sup.ose that α has cer.ain r.khlin p.op.r.y and A is α-simp.e. Sup.ose also that ther. is an integer.J ≥ 1 such that J α＊... 详细信息

关键词： r.khlin p.op.r.y Tr.cial r.nk zer. AF-algebr.

ON ABELIAN AUTOMOr.0}ISM Gr.Up. OF SUr.ACES OF GENEr.L TYp.

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Chinese Annals of mathematics,Ser.es B 1996年第1期17卷 43-52页

作者： CAI JINXING(department of mathematics,{2., shanghai 2.0062. china.) 华东师范大学数学系上海

It is p.oved that for.a comp.ex minimal smooth p.ojective sur.ace S of gener.l typ., its abelian automor.0}ism gr.up.is of or.er.36k2.+2., p.ovided x(os)≥8, wher. Ks is the canonical divisor.of S, and X(Os) the Euler...

关键词： p.ojective sur.ace Automor.0}ism gr.up Canonical divisor

ON THE Ap.r.XIMATELY SIMILAr.TY OF Op.r.TOr.

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Chinese Annals of mathematics,Ser.es B 1998年第4期19卷 465-472页

作者： WEI GUOQIANG (department of mathematics,{2., shanghai 2.0062. china.) 华东师范大学数学系上海

The author.shows that a r.nk-p.eser.ing *-isor.0}r.0}ism between sep.r.ble C*-algebr.s with unity is ap.r.ximately equivalent to the identity r.p.esentation. Some ap.lications ar. made for.ap.r.ximately similar.ty of n-... 详细信息

关键词： C*-algebr. r.nk-p.eser.ing *-isomor.0}ism Ap.r.ximately equevalent,Ap.r.ximately similar n-tup.es of op.r.tor.

Bifur.ations of r.ugh Heter.clinic Loop. with Thr.e Saddle p.ints

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Acta Mathematica Sinica,English Ser.es 2002年第1期18卷 199-208页

作者： JIN Yin Lai ZHU De Ming department of mathematics. Linyi Teacher. {2.. Shandong 2.6005. p. r. china department of mathematics. east china normal university. shanghai 2.0062. p. r. china department of mathematics. east china normal university. shanghai 2.0062. p. r. china department of mathematics Linyi Teachers' University Shandong P. R. China department of mathematics East China Normal University Shanghai P. R. China

In this p.p.r. we study the bifur.ation p.oblems of r.ugh heter.clinic loup. cor.ecting thr.c saddle p.ints for.a higher.dimensional system. Under.some tr.nsver.al conditions and the nontwisted condition. the existence. uniqueness. nd incoexistencc of thc l-heter.clinic loop.with thr.c or.two saddle p.mts. l-homoclinic or.it and l-p.r.odic or.it near.T ar. obtained. Nleanwhile, the bifur.ation sur.aces and existence r.gions ar. also given. Mor.over. the above bifur.ation r.sults ar. extended to the case for.heter.clinic loop.with l saddle p.ints.

关键词： Local coor.inates Heter.clinic loop Homoclinic or.it p.r.odic or.it Bifur.ation sur.ace