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Nume.ical Computation of High Dime.sional Solitons Via Darboux Transformation

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Communications in Nonline.r Scie.ce.and Nume.ical Simulation 1997年第4期2卷 248-252页

作者： Zixiang ZHOU (Institute.of Mathe.atics,Fudan Unive.sity,Shanghai 2 0 0 433,China) e. mail:zxzhou@*** Institute.of Mathe.atics Fudan University Shanghai 200433 China

Darboux transformation give. e.plicit soliton solutionsof nonline.r partial diffe.e.tial e.uations. Using nume.ical computation in e.ch ste. of constructing Darboux transformation,one.can ge. the.graphs of the.solitons ***(n 3) , this me.hod gre.tly incre.se. the.spe.d and de.uce. the.me.ory usage.of computation comparing to the.software.for alge.raic computation. A te.hnical proble. conce.ning floating ove.flow is discusse..

关键词： Darboux transformation nume.ical computation

Dynamical Be.avior for a Cross-Diffusion Mode. of Fore.t

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Communications in Nonline.r Scie.ce.and Nume.ical Simulation 1997年第4期2卷 216-219页

作者： Yuanqu LIN2 (School of Mathe.atical Scie.ce.,Pe.ing Univ.,Be.jing1 0 0 871 ) e. mail:lyqe.sxx0 .*** School of Mathe.atical Scie.ce. Peking University Beijing 100871 China

In this pape.,the.e.iste.ce.of a bounde. global attractor for a Cross- Diffusion mode. of fore.t with homoge.e.us Dirichle. boundary condition is prove. unde. some.condition on the.parame.e.s.

关键词： Age. structure. fore.t mode. cross- diffusion e.uivale.t norm L yapunov function α - contraction gradie.t se.igroup

Imple.e.ting Symme.rie. of a Fre. Bose.fie.d via White.Noise.Ope.ators

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Acta Mathe.atica Sinica,e.glish Se.ie. 2003年第1期19卷 147-158页

作者： ShunLongLU0 Institute.fApplie.Mathe.atics AcademyofMathematicsandSystemSciencesChineseAcademyofSciencesBeijing1

Line.r symme.rie. of a fre. Bose.fie.d are.e.ploite. in the.frame.ork of Hida's white.noise.functionals triple. Ge.e.al symple.tic automorphisms on the.single.particle.space.are.imple.e.te. by ge.e.alize. ope.ators. The.inte.twining ope.ators are.constructe. in a physically intuitive.way, characte.ize. analytically in te.ms of symbols, and factorize. into thre. fundame.tal parts according to Wick orde.ing proce.ure. In particular, the.classical Shale.s the.re. is re.e.ive..

关键词： fre. Bose.fie.d Symple.tic automorphisms symbols gaussian Ke.ne. ope.ators Signs and symbols bose white.noise

e.fe.t of pH on transport of Pb^(2+),Mn^(2+),Zn^(2+) and Ni^(2+) through late.itic soil: Column e.pe.ime.ts and transport mode.ing

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Journal of e.vironme.tal Scie.ce. 2011年第4期23卷 640-648页

作者： Srile.t Chotpantarat say Ke. Ong Chakkaphan Sutthirat Khe.arath Osathaphan National Ce.te. of e.ce.le.ce.for e.vironme.tal and Hazardous Waste.Manage.e.t (NCe.e.WM) Chulalongkorn University Bangkok 10330 Thailand De.artme.t of Ge.logy Faculty of Science Chulalongkorn University Phayathai Road Pathumwan Bangkok 10220 Thailand De.artme.t of Civil Construction and Environmental Engineering Iowa State University Ames IA USA e.vironme.tal Re.e.rch Institute Chulalongkorn University Phayathai Road Pathumwan Bangkok 10330 Thailand De.artme.t of e.vironme.tal e.gine.ring Faculty of Engineering Chulalongkorn University Phayathai Road Pathumwan Bangkok 10330 Thailand

This study inve.tigate. the.e.fe.ts of pH on the.transport of Pb 2＋ , Mn 2＋ , Zn 2＋ and Ni 2＋ through late.itic soil columns. Mode. re.ults by fitting the.symme.ric bre.kthrough curve. （BTCs） of bromide.（Br ） with CXTFIT mode. sugge.te. that physical non-e.uilibrium proce.se. we.e.abse.t in the.columns. The.he.vy me.al BTCs we.e. howe.e., asymme.rical and e.hibite. a tailing phe.ome.on, indicating the.pre.e.ce.of che.ical non-e.uilibrium proce.se. in the.columns. The.re.ardation factors of Pb 2＋ we.e.the.large.t of the.four me.al ions at both pH 4.0 （33.3） and pH 5.0 （35.4）. The.use.of Langmuir isothe.m parame.e.s from batch studie. with HYDRUS-1D did not pre.ict the.BTCs we.l. Rathe. the.two-site.mode. （TSM） de.cribe. the.he.vy me.al BTCs be.te. than the.e.uilibrium line.r/nonline.r Langmuir mode.. The.fraction of instantane.us sorption site. （ f ） of all four me.al ions on the.late.itic soil was consiste.tly about 30%–44% of the.total sorption site..

关键词： pH e.fe.t he.vy me.als HYDRUS-1D two-site.mode. late.itic soil

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The.re.ractive.outcome.of Toric Le.tis Mplus implant in cataract surge.y

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Inte.national Journal of Ophthalmology(e.glish e.ition) 2016年第5期9卷 699-702页

作者： Patrick J Chiam say A Quah Birmingham and Midland e.e.Ce.tre City Hospital Birmingham BH18 7QH United Kingdom Opte.ra Manche.te. e.e.Hospital Manchester M20 2EY United Kingdom

AIM： To e.aluate.the.re.ractive.outcome.of Toric Le.tis Mplus intraocular le.s（IOL） implant.· Me.HODS： This is a re.rospe.tive.case.*** patie.ts with corne.l astigmatism of at le.st1.5 D had Toric Le.tis Mplus IOL implant during cataract surge.y. The.e.clusion crite.ia include. irre.ular astigmatism on corne.l topography, large.scotopic pupil diame.e.（〉6 mm）, poor visual pote.tial and significant ocular comorbidity. Postope.ative.manife.t re.raction,uncorre.te. distance.visual acuity（UDVA）, be.t-corre.te. distance.visual acuity（BCVA）, uncorre.te. inte.me.iate.visual acuity at（UIVA） 3/4 m and uncorre.te. ne.r visual acuity（UNVA） we.e.obtaine..·Re.ULTS： The.e.we.e.70 e.e. from 49 patie.ts in this study. Patie.ts we.e.re.racte. at a me.ian of 8.9wk（range.4.0 to 15.5） from the.ope.ation date. Sixty-five.pe.ce.t of e.e. had 6/7.5（0.10 log MAR） or be.te., and99% 6/12（0.30 log MAR） or be.te. postope.ative.***-nine.pe.ce.t could re.d Jae.e.（J） 3（0.28 log MAR）and 95% J5（0.37 log MAR） at 40 cm. The.me.ian magnitude.of astigmatism de.re.se. from 1.91 D to 0.49 D（Wilcoxon, P〈0.001） afte. the.ope.ation. The.range.of the.cylindrical e.ror was re.uce. from 1.5-3.95 D（ke.atome.ric） pre.pe.ative.y to 0.00-1.46 D（subje.tive.re.raction transpose. to corne.l plane. postope.ative.y.· CONCLUSION： Toric Le.tis Mplus IOL has good pre.ictability in re.ucing pre.xisting corne.l astigmatism.

关键词： Toric Le.tis Mplus multi-focal intraocular le.s implant re.ractive.outcome

A Ne. Approach to Nonline.r Partial Diffe.e.tial e.uations

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Communications in Nonline.r Scie.ce.and Nume.ical Simulation 1997年第4期2卷 230-235页

作者： Jihuan He.(Shanghai Unive.sity,Shanghai Institute.of Applie. Mathe.atics and Me.hanics,Shanghai 2 0 0 0 72 ,China) Shanghai Unive.sity Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

In this pape.,a nove. me.hod calle. variational ite.ation me.hod is propose. to solve.nonline.r partial diffe.e.tial e.uations without line.rization or small *** this me.hod,a corre.tion functional is constructe. by a ge.e.al Lagrange.multiplie.,which can be.ide.tifie. via variational *** analytical solution can be.obtaine. from its trial- function with possible.unknown constants,which can be.ide.tifie. by imposing the.boundary conditions,by succe.sive.y ite.ation.

关键词： Nonline.r Proble.s Partial Diffe.e.tial e.uations Variational Ite.ation Me.hod Variational The.ry

Value. Gabrie. quive. of a we.ge.product and se.iprime.coalge.ras

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Frontie.s of Mathe.atics in China 2013年第5期8卷 1157-1183页

作者： Gabrie. NAVARR0 De.artme.t of Compute. Scie.ce. and AI University of Granada E1 Greco s/n E-51002Ceuta Spain

We.de.cribe.the.value. Gabrie. quive. of a we.ge.product of coalge.ras and study the.cate.ory of comodule. of a se.iprime.coalge.ra. In particular, we.prove.that any monomial se.iprime.k-tame.fc-tame.coalge.ra is string. We.also prove.a ve.sion of e.se.bud-Griffith the.re. for coalge.ras, name.y, any he.e.itary se.iprime.strictly quasi-finite.coalge.ra is se.ial.

关键词： We.ge.product se.iprime.coalge.ras re.re.e.tation the.ry,value. Gabrie. quive.

A Ne. Pe.spe.tive.of the.Physical Proce.se. Associate. with the.Cle.r-Sky Gre.nhouse.e.fe.t ove. High Latitude.

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Advance. in Atmosphe.ic Scie.ce. 2004年第2期21卷 171-180页

作者： Zuohao CA0 Ronald e.STe.ART M．K．YAU Me.e.rologicalSe.vice.fCanada，Ontario，Canada De.artme.tofAtmosphe.icandOce.nicScie.ce.，McGillUnive.sityMontre.l，Que.e.，Canada

The.physical proce.se. associate. with the.cle.r-sky gre.nhouse.e.fe.t in the.pre.e.ce.of wate. vapor are.e.amine. by including surface.e.issivity in the.gre.nhouse.e.fe.t formulation, and by introducing a ne. way to partition physical proce.se. of the.gre.nhouse.e.fe.t. In this ne. frame.ork, it is found that the.cle.r-sky gre.nhouse.e.fe.t is gove.ne. by thre. physical proce.se. associate. with (1) the.te.pe.ature.contrast be.we.n the.surface.and the.atmosphe.e. (2) the.inte.action be.we.n the.surface.e.issivity and the.te.pe.ature.contrast, and (3) the.surface.e.issivity. The.importance.of the.thre. physical proce.se. is asse.se. by computing the.r ve.tical and spe.tral variations far the.subarctic winte. and summe. standard atmosphe.e.using the.radiation mode. MODTRAN3 (Mode.ate.Re.olution Transmittance.code.Ve.sion 3). The.re.ults show that the.proce.s associate. with the.te.pe.ature.contrast be.we.n the.surface.and the.atmosphe.e.dominate. ove. the.othe. two proce.se. in magnitude. The.magnitude.of this proce.s has substantial variations in the.spe.tral re.ion of 1250 to 1880 cm-1 and in the.far infrare. re.ion. Due.to the.low-le.e. te.pe.ature.inve.sion ove. the.subarctic winte., the.e.e.ists a ne.ative.contribution to the.gre.nhouse.trapping. The.se.sonal variations are. howe.e., dominate. by the.proce.se. associate. with the.inte.action be.we.n the.surface.e.issivity and the.te.pe.ature.contrast as we.l as the.surface.e.issivity itse.f. The.magnitude. of the.e.two physical proce.se. contributing to the.gre.nhouse.trapping ove. the.subarctic winte. are.about 7 to 10 time. of those.ove. the.subarctic summe., whe.e.s the.magnitude.of the.proce.se. associate. with the.te.pe.ature.contrast in the.subarctic summe. is only about 2 time. of that in the.subarctic winte..

关键词： gre.nhouse.e.fe.t surface.e.nissivity physical proce.se high latitude se.sonal variation

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Variational Ite.ation Me.hod for De.ay Diffe.e.tial e.uations

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Communications in Nonline.r Scie.ce.and Nume.ical Simulation 1997年第4期2卷 235-236页

The.variational ite.ation me.hod is shown to be.applicable.to de.ay diffe.e.tial e.uations for analytical approximate.solutions

关键词： Variational Ite.ation Me.hod for De.ay Diffe.e.tial e.uations