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Sparse-Grid Im.lem.ntation of Fixed-Point Fast Sweeping WENO Sch.m.s for Eikonal Equations

Com.unications on Applied m.th.m.tics and Com.utation 2024年第1期6卷 3-29页

作者： Zach.ry m.m.ksis Yong-Tao Zh.ng departm.nt of Applied and Com.utational m.th.m.tics and Statistics University of Notre DameNotre DameIN46556USA

Fixed-point fast sweeping m.th.ds are a class of explicit iterative m.th.ds developed in th. literature to efficiently solve steady-state solutions of h.perbolic partial differential equations(Pdes).As oth.r types of fast sweeping sch.m.s,fixed-point fast sweeping m.th.ds use th. Gauss-Seidel iterations and alternating sweeping strategy to cover ch.racteristics of h.perbolic Pdes in a certain direction sim.ltaneously in each.sweeping *** resulting iterative sch.m.s h.ve a fast convergence rate to steady-state ***,an advantage of fixed-point fast sweeping m.th.ds over oth.r types of fast sweeping m.th.ds is th.t th.y are explicit and do not involve th. inverse operation of any nonlinear local ***,th.y are robust and flexible,and h.ve been com.ined with.h.gh.order accurate weigh.ed essentially non-oscillatory(WENO)sch.m.s to solve various h.perbolic Pdes in th. *** m.ltidim.nsional nonlinear problem.,h.gh.order fixed-point fast sweeping WENO m.th.ds still require quite a large am.unt of com.utational *** th.s tech.ical note,we apply sparse-grid tech.iques,an effective approxim.tion tool for m.ltidim.nsional problem.,to fixed-point fast sweeping WENO m.th.ds for reducing th.ir com.utational ***,we focus on fixed-point fast sweeping WENO sch.m.s with.th.rd-order accuracy(Zh.ng et al.2006[41]),for solving Eikonal equations,an im.ortant class of static h.m.lton-Jacobi(h.J)*** experim.nts on solving m.ltidim.nsional Eikonal equations and a m.re general static h.J equation are perform.d to sh.w th.t th. sparse-grid com.utations of th. fixed-point fast sweeping WENO sch.m.s ach.eve large savings of CPU tim.s on refined m.sh.s,and at th. sam. tim. m.intain com.arable accuracy and resolution with.th.se on corresponding regular single grids.

关键词： Fixed-point fast sweeping m.th.ds Weigh.ed essentially non-oscillatory(WENO)sch.m.s Sparse grids Static h.m.lton-Jacobi(h.J)equations Eikonal equations

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Optim.l Control and Bifurcation Issues for Lorenz-Rössler m.del

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Open Journal of Optim.zation 2020年第3期9卷 71-85页

作者： Saba m. alwan Abdo m. al-m.h.i Om.lsad h. Odh.h departm.nt of m.th.m.tics and Com.uter Science Faculty of Science Ibb University Ibb Yemen departm.nt of m.th.m.tics Faculty of Science Princess Nourahbint Abdulrahman University Riyadh Saudi Arabia

Optim.l control is one of th. m.st popular decision-m.king tools recently in m.ny research.s and in m.ny areas. Th. Lorenz-Rössler m.del is one of th. interesting m.dels because of th. idea of consolidation of th. two m.dels: Lorenz and össler. Th.s paper discusses th. Lorenz-Rössler m.del from.th. bifurcation ph.nom.na and th. optim.l control problem.(OCP). Th. bifurcation property at th. system.equilibrium.m. alt="" src="Edit_***" /> m.ly:Verdana;">is studied and it is found th.t saddle-node and h.pf bifurcations can be h.led under som. conditions on th. param.ters. also, th. problem.of th. optim.l control of Lorenz-Rössler m.del is discussed and it usesm.ly:Verdana;"> th. Pontryagin’s m.xim.m.Principle (Pm.) to derive th. optim.l control inputs t

关键词： Lorenz-Rössler m.del Bifurcation Pontryagin Principle Optim.l Control Problem

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Engineering and Tectonic Study of Rocks Discontinuities in th. Proposed Abo-h.derya Quarry Site, m.ssan SE Iraq

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Engineering（科研） 2016年第8期8卷 525-534页

作者： Jaffar h. A. al-Zubaydi Abdulkadh.m.J. alabidi ali m. h. al-Janabi Nadh.r al-Ansari Applied Geology departm.nt College of Science University of Babylon Babylon Iraq departm.nt of Geology-Faculty of Science University of Kufa Kufa Iraq Lulea University of Tech.ology Lulea Sweden

A detailed field survey of discontinuity (fractures) was carried out in th. proposed Abo-h.derya Quarry Site, 70 km.east m.ssan city, south.east of Iraq, wh.re al-m.kdadiya Form.tion (Upper m.ocene-Pliocene) is exposed. Th. discontinuity survey was carried out in 10 stations covering th. study area. At each.station notes were collected about beds (lith.logy, th.ckness and orientation) and discontinuities (orientation, density, spacing, persistence and aperture). Th. slope stability analysis suggests th.t th.re is no real h.zard area th.t could affect th. quarry in future. Tectonic analysis dem.nstrates th.t tension fractures are com.on in th. study area, wh.le sh.ar fractures (okl, h.o, h.l and h.l) are th. less. Th. m.xim.m.principal stress direction in th. study area is N (15 - 40) E, wh.ch.is com.atible with.th. regional tectonic stress in th. area.

关键词： Discontinuity Fath. Form.tion m.ssan Iraq

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Factors affecting use of ballistics gelatin in laboratory studies of bacterial contam.nation in projectile wounds

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m.litary m.dical Research 2018年第4期5卷 304-313页

作者： Jessica J. Evans Aaron Bost Karim.h. m.ci-Küch.er linda C. deVeaux Biom.dical Engineering Program South Dakota School of Mines and Technology m.ch.nical Engineering departm.nt South Dakota School of Mines and Technology departm.nt of Biology New Mexico Institute of Mining and Technology

Background: Ballistics gelatin is a com.on tissue surrogate used in bacterial contam.nation m.dels for projectile wounds. alth.ugh.th.se studies h.ve dem.nstrated th.t bacteria are transferred from.th. surface of th. gelatin to th. wound track by a projectile, quantifiable results h.ve been inconsistent and not repeatable in successive ***: In th.s study, five areas of a typical contam.nation m.del in wh.ch.bacterial recovery or survival are affected were identified for optim.zation. Th. first was a contam.nated "skin" surrogate, wh.re th. novel use of vacuum.filtration of a bacterial culture and buffer onto filter paper was em.loyed. Th. oth.r possibly problem.tic areas of th. bacterial distribution m.del included th. determ.nation of bacterial survival wh.n th. contam.nation m.del is dried, survival in solid and m.lten gelatin, and th. effect of h.gh.intensity ligh.s used for recording h.gh.speed ***: Vacuum.filtration of bacteria and buffer resulted in a consistent bacterial distribution and recovery. Th. use of ph.sph.te buffer m.(ph.7) aided in neutralizing th. ballistics gelatin and im.roving bacterial survival in solid gelatin. Additionally, th. use of h.gh.intensity ligh.s to record h.gh.speed video and th. use of a 42℃ water bath.to m.lt th. gelatin were found to be bactericidal for gram.positive and gram.negative ***: m.ltiple areas of a typical contam.nation m.del in wh.ch.bacterial survival m.y be im.eded were identified, and m.th.ds were proposed to im.rove survival in each.area. Th.se m.th.ds m.y be used to optim.ze th. results of bacterial contam.nation m.dels for m.dical applications, such.as understanding th. progression of infection in penetrating wounds and to identify possible sources of contam.nation for forensic purposes.

关键词： Ballistics gelatin Wound Contam.nation Bacterial m.del

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h.gh.y toxic Aβ begets m.re Aβ

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Neural Regeneration Research 2024年第9期19卷 1871-1872页

作者： m.rc m.Kem.h.Noel D.Lazo Gustaf h.Carlson Sch.ol of Ch.m.stry and Bioch.m.stry Clark UniversityWorcesterMAUSA

alzh.im.r’s disease(AD)is th. m.st com.on form.of dem.ntia-th. 7th.leading cause of death.*** th. tissue level,AD is ch.racterized by th. presence of extracellular am.loid plaques th.t are com.rised prim.rily of th. am.loid-βpeptide(Aβ),and by intraneuronal neurofibrillary tangles com.osed of *** genetics of early-onset AD and longitudinal brain-im.ging studies of late-onset AD indicate th.t extracellular Aβdeposition,in general,precedes neurofibrillary tangle form.tion in neurons(h.m.el et al.,2021;Young-Pearse et al.,2023).

关键词： Aβ tau alzh.im.r death

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Edible Coating for Sh.lf-Life Extension of Fresh.Banana Fruit Based on Gam.a Irradiated Plasticized Poly(vinyl alcoh.l)/Carboxym.th.l Cellulose/Tannin Com.osites

引用

m.terials Sciences and Applications 2014年第6期5卷 395-415页

作者： m.gdy m. h. Senna Kh.lid m. al-Sh.m.ani Abdullah.S. al-Arifi Ch.m.stry departm.nt Faculty of Science King Saud University Riyadh KSA Petroch.m.cals Research.Institute King Abdulaziz City for Science and Technology Riyadh KSA Radiation Ch.m.stry departm.nt National Center for Radiation Research and Technology Cairo Egypt

Th. interest in th. developm.nt of edible and biodegradable film. h.s increased because it is every day m.re evident th.t non-degradable m.terials are doing m.ch.dam.ge to th. environm.nt. Blends based on different ratios of plasticized poly(vinyl alcoh.l) (PVA), carboxym.th.l cellulose (Cm.) and Tannin com.ound were prepared by solution casting in th. form.of th.n film.. Th.n th. blend film. were exposed to different doses of gam.a radiation. First, th. effect of gam.a irradiation and th. Tannin com.ound, as an antim.crobial agent, on th. th.rm.l and m.ch.nical properties was investigated. As an application in th. field of th. prolongation of food preservation lifetim., banana fruits were coated with.solutions of gam.a irradiated PVA/Cm. blends in th. presence of Tannin. Th. results sh.wed th.t th. gam.a irradiation im.roved th. th.rm.l properties, wh.ch.provides suitable m.terials based on natural biodegradable polym.rs for food preservation with.tanding th. tem.erature and stresses.

关键词： Biodegradable Film. Poly(vinyl alcoh.l) Carboxym.th.l Cellulose Gam.a Irradiation Food Coating

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An Investigation of ~4h.+^(12)C and ~4h.+^(16)O Reactions Using th. Cluster m.del

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Com.unications in Th.oretical Ph.sics 2012年第7期58卷 135-140页

作者： A.h.al-Gh.m.i Awad A.Ibrah.em.m.El-Azab Farid Ph.sics departm.nt Faculty of ScienceKing Abdul Aziz UniversityJeddahSaudi Arabia Ph.sics departm.nt Al-Azhar UniversityAssiut BranchAssiut 71524Egypt Ph.sics departm.nt King Khalid UniversityAbhaSaudia Arabia Ph.sics departm.nt Assiut UniversityAssiut 71516Egypt

Th. α-target sem.m.croscopic single folding potentials h.ve been derived by folding a com.osite (repul-sive and attractive) effective α-α interaction with.th. α-cluster distribution density in th. target nuclei. Th. obtained potentials are considered as th. real part of th. nuclear optical m.del potentials, wh.le th. im.ginary parts are ph.-nom.nologicaly expressed using th. Woods-Saxon form. Nine sets of m.asured experim.ntal data of th. 4h.+12C and 4 h.+16O elastic rainbow scattering over th. energy range 80-240 m.V are analyzed using th. obtained potentials. Th. data are successfully reproduced using th. extracted potentials. Th. resulted reaction cross sections are also investigated and com.ared with.th. available corresponding data.

关键词： optical m.del elastic scattering folding potential cluster m.del

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Coverless Im.ge Steganograph. Based on Jigsaw Puzzle Im.ge Generation

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Com.uters, m.terials & Continua 2021年第5期67卷 2077-2091页

作者： al h.ssien Seddik Saad m.S.m.h.m.d E.h.h.fez departm.nt of Com.uter Science Faculty of ScienceMinia UniversityMinya61519Egypt departm.nt of m.th.m.tics College of ScienceTaif UniversityTaif21944Saudi Arabia departm.nt of m.th.m.tics Faculty of ScienceAl-Azher UniversityNasr City11884Egypt departm.nt of m.th.m.tics Faculty of ScienceHelwan UniversityCairoEgypt

Current im.ge steganograph. m.th.ds are working by assigning an im.ge as a cover file th.n em.ed th. payload with.n it by m.difying its pixels,creating th. stego ***,th. left traces th.t are caused by th.se m.difications will m.ke steganalysis algorith.s easily detect th. h.dden payload.A coverless data h.ding concept is proposed to solve th.s *** does not m.an th.t cover is not required,or th. payload can be transm.tted with.ut a ***,th. payload is em.edded by cover generation or a secret m.ssage m.pping between th. cover file and th. *** th.s paper,a new coverless im.ge steganograph. m.th.d h.s been proposed based on th. jigsaw puzzle im.ge generation driven by a secret ***,th. im.ge is divided into equal rows th.n furth.r divided into equal colum.s,creating blocks(i.e.,sub-im.ges).Th.n,according to secret m.ssage bits and a proposed m.pping function,each.block will h.ve tabs/blanks to get th. sh.pe of a puzzle piece creating a fully sh.ped jigsaw puzzle *** th.t,th. generated jigsaw puzzle im.ge is sent to th. *** results and analysis sh.w a good perform.nce in th. h.ding capacity,security,and robustness com.ared with.existing coverless im.ge steganograph. m.th.ds.

关键词： Coverless inform.tion h.ding Jigsaw puzzle im.ge im.ge steganograph. data h.ding

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Lax Pairs and Integrability Conditions of h.gh.r-Order Nonlinear Sch.dinger Equations

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Com.unications in Th.oretical Ph.sics 2016年第8期65卷 171-178页

作者： m.Asad-uz-zam.n h.Ch.ch.u Sam.t U.al Kh.waja Ph.sics departm.nt United Arab Emirates University Laboratory for Th.oretical Ph.sics and m.terial Ph.sics Faculty of SciencesHassiba Benbouali University of Chlef

We derive th. Lax pairs and integrability conditions of th. nonlinear Sch.dinger equation with.h.gh.r-order term., com.lex potentials, and tim.-dependent coefficients. Cubic and quintic nonlinearities togeth.r with.derivative term. are considered. Th. Lax pairs and integrability conditions for som. of th. well-known nonlinear Sch.dinger equations, including a new equation wh.ch.was not considered previously in th. literature, are th.n derived as special cases. We sh.w m.st clearly with.a sim.larity transform.tion th.t th. h.gh.r-order term. restrict th. integrability to linear potential in contrast with.quadratic potential for th. standard nonlinear Sch.dinger equation.

关键词： exact solutions Lax pair integrability

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deposition beh.vior and tribological properties of diam.nd-like carbon coatings on stainless steels via ch.m.cal vapor deposition

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International Journal of m.nerals,m.tallurgy and m.terials 2018年第11期25卷 1335-1343页

作者： Labani m.stafi m.m.Rah.an m.h.m.ad Nur E alam.al Nasim.m.h.m.ad Asaduzzam.n Ch.wdh.ry m.h.m.nir Sch.ol of m.terials Science and Engineering Harbin Institute of TechnologyHarbin 150001China Sch.ol of Engineering RMIT UniversityMelbourneVictoria 3001Australia Dh.ka University of Engineering and Tech.ology Gazipur 1707Bangladesh

A system.tic investigation was carried out to observe th. deposition rate of a diam.nd-like carbon(DLC) coating on two stainless steel substrates by ch.m.cal vapor deposition(CVD). Th. objective of th.s research.is to study th. deposition beh.vior of th. DLC coating and its tribological properties in different com.inations of m.th.ne(Ch.4) and nitrogen, wh.ch.were used as precursor gases. Th. results reveal th.t th. deposition rate increases with.increasing Ch.4 content up to 50 vol%. Th. h.rdness of th. DLC-deposited layer also increases wh.le th. friction coefficient decreases with.increasing Ch.4 gas content up to 50% in th. precursor gas m.xture.

关键词： diam.nd-like carbon ch.m.cal vapor deposition m.th.ne and nitrogen gas m.xtures deposition rate h.rdness friction coefficient

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