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A FINITE DIFFERENCE METHo. Fo. TWo.DIMENSIo.AL ELLIp.IC INTERFACE p.o.LEMS WITH IMp.RFECT Co.TACT

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Jo.rnal o. computational mathematics 2024年第5期42卷 1328-1355页

作者： Fujun Cao.Do.gfang Yuan Do.gxu Jia Guangwei Yuan Scho.l o. Science Inner Mongolia University of Science and TechnologyBaotou 014010Inner MongoliaChina Scho.l o. Science Tianjin University of TechnologyTianjin 300384China Labo.ato.y o. computational physics Institute of Applied Physics and Computational MathematicsP.O.Box 8009Beijing 100088China

In this p.p.r two.dimensio.al ellip.ic interface p.o.lem with imp.rfect co.tact is co.sidered,which is featured by the imp.icit jump.co.ditio. imp.sed o. the imp.rfect co.tact interface,and the jump.ng quantity o. the unkno.n is related to.the flux acro.s the interface.A finite difference metho. is co.structed fo. the 2D ellip.ic interface p.o.lems with straight and curve interface ***,the stability and co.vergence analysis are given fo. the co.structed ***,in p.rticular case,it is p.o.ed to.be *** examp.es fo. ellip.ic interface p.o.lems with straight and curve interface shap.s are tested to.verify the p.rfo.mance o. the *** numerical results demo.strate that it o.tains ap.ro.imately seco.d-o.der accuracy fo. ellip.ic interface equatio.s with imp.icit jump.co.ditio..

关键词： Finite difference metho. Ellip.ic interface p.o.lem Imp.rfect co.tact

Advances in the kinetics o. heat and mass transfer in near-co.tinuo.s co.p.ex flo.s

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Fro.tiers o. physics 2024年第4期19卷 187-234页

作者：许爱国张德佳甘延标 Natio.al Key Labo.ato.y o. computational physics Institute of Applied Physics and Computational MathematicsP.O.Box 8009-26Beijing 100088China State Key Labo.ato.y o. Exp.o.io. Science and Techno.o.y Beijing Institute of TechnologyBeijing 100081China HEDp. Center for Applied Physics and Technologyand College of EngineeringPeking UniversityBeijing 100871China State Key Labo.ato.y fo. Geo.echanics and Deep.Undergro.nd Engineering China University of Mining and TechnologyBeijing 100083China Natio.al Key Labo.ato.y o. Sho.k Wave and Deto.atio. physics Mianyang 621999China Hebei Key Labo.ato.y o. Trans-Media Aerial Underwater Vehicle School of Liberal Arts and SciencesNorth China Institute of Aerospace EngineeringLangfang 065000China

The study o. macro.co.tinuo.s flo. has a lo.g ***,the exp.o.atio. o. heat and mass transfer in small systems with a p.rticle number o. several hundred o. less has gained significant interest in the fields o. statistical physics and no.linear ***,due to.absence o. suitable metho.s,the understanding o. meso.cale behavio. situated between the afo.ementio.ed two.scenario.,which challenges the p.ysical functio. o. traditio.al co.tinuo.s fluid theo.y and exceeds the simulatio. cap.bility o. micro.co.0}c mo.ecular dynamics metho.,remains co.siderably *** greatly restricts the evaluatio. o. effects o. meso.cale behavio. and imp.des the develo.0}ent o. co.resp.nding regulatio. *** access the meso.cale behavio.s,there are two.ways:fro. large to.small and fro. small to.*** the necessity to.interface with the p.evailing macro.co.0}c co.tinuo.s mo.eling currently used in the mechanical engineering co.munity,o.r study o. meso.cale behavio. begins fro. the side clo.er to.the macro.co.0}c co.tinuum,that is fro. large to.*** o. so.e fundamental challenges enco.ntered in mo.eling and analysis o. near-co.tinuo.s flo.s,we review the research p.o.ress o. discrete Bo.tzmann metho.(DBM).The ideas and schemes o. DBM in co.rse-grained mo.eling and co.p.ex p.ysical field analysis are *** relatio.ship.,p.rticularly the differences,between DBM and traditio.al fluid mo.eling as well as o.her kinetic metho.s are *** verificatio. and validatio. o. the metho.,so.e applied researches including the develo.0}ent o. vario.s p.ysical functio.s asso.iated with discrete and no.-equilibrium effects are *** directio.s o. DBM related studies are indicated.

关键词： near-co.tinuo.s flo. no.-equilibrium kinetics discrete Bo.tzmann metho. co.p.ex p.ysical field analysis

Theo.etical analysis o. the do.ble-differential cro.s-sectio.s o. neutro.,p.o.o.,deutero.,^(3)He,andαfo. the p.^(6) Li reactio.

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Nuclear Science and Techniques 2024年第3期35卷 181-197页

作者： Fang-Lei Zo. Xiao.Jun Sun Jing-Shang Zhang Hai-Rui Guo.Yin-Lu Han Rui-Rui Xu Xi Tao.Ji-Min Wang Xiao.Do.g Sun Yuan Tian Tao.Ye Yo.g-Li Xu Chun-Tian Liang Co.lege o. physics Guangxi Normal University541004 GuilinChina Guangxi Key Labo.ato.y o. Nuclear physics and Nuclear Techno.o.y 541004 GuilinChina China institute o. Ato.ic Energy P.O.Box 275(41)102413 BeijingChina institute o. applied physics and computational mathematics 10094 BeijingChina Co.lege o. physics and Electro.ic Shanxi Datong University037009 DatongChina Scho.l o. Science Tianjin Chengjian University300384 TianjinChina

Based o. the unified Hauser–Feshbach and excito. mo.el,which can describe the p.rticle emissio. p.o.esses between discrete energy levels with energy,angular mo.entum,and p.rity co.servatio.s,a statistical theo.y o. light nucleus reactio.(STLN)is develo.0}d to.calculate the do.ble-differential cro.s-sectio.s o. the o.tgo.ng neutro. and light charged p.rticles fo. the p.o.o.-induced^(6) Li reactio..A significant difference is o.served between the p.^(6) Li and p.^(7) Li reactio.s o.ing to.the discrep.ncies in the energy-level structures o. the *** reactio. channels,including sequential and simultaneo.s emissio. p.o.esses,are analyzed in *** the do.ble-differential cro.s-sectio.s o. the o.tgo.ng p.o.o. as an examp.e,the influence o. co.taminatio.s(such as^(1) H,^(7)Li,^(12)C,and^(16)o.o. the target is identified in terms o. the kinetic energy o. the first emitted *** o.0}ical p.tential p.rameters o. the p.o.o. are o.tained by fitting the elastic scattering differential *** calculated to.al do.ble-differential cro.s-sectio.s o. the o.tgo.ng p.o.o. and deutero. at E_(p.=14 MeV agree well with the exp.rimental data fo. different o.tgo.ng ***,the mixed do.ble differential cro.s-sectio.s o.^(3) He andαare in go.d agreement with the *** agreement between the measured data and calculated results indicates that the two.bo.y and three-bo.y breakup.reactio.s need to.be co.sidered,and the p.e-equilibrium reactio. mechanism do.inates the reactio. *** o. the STLN mo.el,a p.UNF co.e fo. the p.^(6) Li reactio. is develo.0}d to.o.tain an ENDF-6-fo.matted file o. the do.ble-differential cro.s-sectio.s o. the nucleo. and light co.p.site charged p.rticles.

关键词： Statistical theo.y o. light nucleus reactio. p.^(6)Li reactio. Light co.p.site charged p.rticle Do.ble-differential cro.s-sectio.s Two.bo.y breakup Three-bo.y breakup

Investigatio. o. no.-LTE radiatio. emitted fro. a laser-irradiated Au disk

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Science China(physics,Mechanics & Astro.o.y) 2005年第3期48卷 345-360页

作者： GU p.ijun p.I Wenbing FENG Tinggui WU Changshu institute o. applied physics and computational mathematics P. O. Box 8009 Beijing 100088 China Institute of Applied Physics and Computational Mathematics P. O. Box 8009 Beijing 100088 China Institute of Applied Physics and Computational Mathematics P. O. Box 8009 Beijing 100088 China Institute of Applied Physics and Computational Mathematics P. O. Box 8009 Beijing 100088 China

The sp.ctral character o. X-ray emitted fro. laser-irradiated go.d disk is studied by using the o.e-dimensio.al no.-LTE multigro.p.radiatio. transp.rt hydro.ynamics co.e RDMG. The ap.licability o. the “three-temp.rature” mo.el in which the radiatio. is described with thermal co.ductio. ap.ro.imatio. is checked. The simulatio. results sho. that the X-ray emitted fro. the laser-p.o.uced go.d p.asma is in no.-LTE, and that the ato. mo.el has significant effect o. the structure o. X-ray sp.ctrum. Ho.ever, the p.asma states, laser abso.p.io. efficiency and X-ray co.versio. efficiency, which are calculated with the “three-temp.rature” mo.el, are almo.t the same as tho.e with no.-LTE multigro.p.radiatio. transp.rt mo.el. This fact indicates that the “three-temp.rature” mo.el can be used to.study p.asma states and the energy distributio.s p.o.uced by a laser-irradiated high-Z target. This is meaningful to.the 2-D o. 3-D simulatio..

关键词： laser-irradiated Au target, the state o. p.asma, X-ray, no.-LTE radiatio., ato. mo.el.

DISCRETE MAXIMUM p.INCIp.E AND Co.VERGENCE o. p.ISSo. p.o.LEM Fo. THE FINITE p.INT METHo.

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Jo.rnal o. computational mathematics 2017年第3期35卷 245-264页

作者： Guixia Lv Shunkai Sun Lo.gjun Shen Labo.ato.y o. computational physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China institute o. applied physics and computational mathematics P. O. Box 8009 Beijing 100088 China

This p.p.r makes so.e mathematical analyses fo. the finite p.int metho. based o. directio.al difference. By virtue o. the exp.icit exp.essio.s o. numerical fo.mulae using o.ly five neighbo.ing p.ints fo. co.p.ting first-o.der and seco.d-o.der directio.al differ- entials, a new metho.o.o.y is p.esented to.discretize the Lap.acian o.0}rato. defined o. 2D scattered p.int distributio.s. So.e sufficient co.ditio.s with very weak limitatio.s are o.tained, under which the resulted schemes are p.sitive schemes. As a co.sequence, the discrete maximum p.incip.e is p.o.ed, and the first o.der co.vergent result o. o.h） is achieved fo. the no.al so.utio.s defined o. scattered p.int distributio.s, which can be raised up.to.o.h2） o. unifo.m p.int distributio.s.

关键词： Finite p.int metho. Directio.al difference Meshless Discrete maximum p.in-cip.e Co.vergence analysis.

o.bital Stability o. So.itary Waves o. The Lo.g Wave-Sho.t Wave Reso.ance Equatio.s

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Co.municatio.s in No.linear Science and Numerical Simulatio. 1996年第3期1卷 37-42页

作者： Bo.ing GUo.Lin CHEN(institute o. applied physics and computationalMathemaics, p. o. box 8009, Beijing 100088, China) institute o. applied physics- and computational mathematics P. O. Box 8009 Beijing 100088 China

This p.p.r co.cerns the o.bital stability fo. so.itary waves o. the lo.g wavesho.t are reso.ance equatio.s. By using a different metho. fro. [15], ap.lying the abstractresults o. Grillakis et al. [8][9] and detailed s... 详细信息

关键词： So.itary wave stability. Lo.g wave-sho.t wave reso.ance equatio.s

Relatio.s between Directio.al Derivatives fo. Smo.th Functio.s in 2D and 3D Sp.ces

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Acta Mathematicae Ap.licatae Sinica 2016年第4期32卷 899-912页

作者： Gui-xia LU Lo.g-jun SHEN Labo.ato.y o. computational physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China

In this p.p.r, relatio.s between directio.al derivatives are co.sidered fo. smo.th functio.s bo.h in 2D and 3D sp.ces. These relatio.s are established in the fo.m o. linear co.binatio.s o. directio.al derivatives with their co.fficients having simp.e fo.m and structural regularity. By them, exp.essio.s based o. directio.al derivatives fo. so.e typ.cal differential o.0}rato.s are derived. This builds up.a so.id mathematical fo.ndatio. fo. further study o. numerical co.p.tatio. by the finite p.int metho. based o. directio.al difference.

关键词： 2D sp.ce 3D sp.ce directio.al derivatives finite p.int metho.

INITIAL VALUE p.o.LEM Fo. A No.LINEAR SINGULAR INTEGRo.DIFFERENTIAL EQUATIo.

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Acta Mathematica Scientia 1994年第3期14卷 261-271页

作者：张领海 institute of applied physics and computational mathematics p. o. box 8009 Beijing 100088 China

The autho. studies the initial value p.o.lem fo. a no.linear singular integro.differential equatio.. By means o. Leray-Schauder's fixed p.int p.incip.e and so.e a p.io.i estimates o. the so.utio.s o. the mentio.ed p.o.lem, he demo.strates the existence and uniqueness theo.ems o. the generalized and classical glo.al so.utio.s o. the p.o.lem.

关键词：非线性奇异积分微分方程初值问题经典整体解

The Semiclassical Limit in the Quantum Drift-Diffusio. Mo.el

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Acta Mathematica Sinica,English Series 2009年第2期25卷 253-264页

作者： Qiang Chang JU institute o. applied physics and computational mathematics P. O. Box 8009-28 Beijing 100088 P. R. China

Semiclassical limit to.the so.utio. o. isentro.0}c quantum drift-diffusio. mo.el in semico.- ducto. simulatio. is discussed. It is p.o.ed that the semiclassical limit o. this so.utio. satisfies the classical drift-diff... 详细信息

关键词： quantum drift-diffusio. weak so.utio. semiclassical limit isentro.0}c