简介：IntheprocessofsolvingEulervectorsbasedonGNSShorizontalmovementfield,thenumberofestimatedparameterscanaffectEulervectorresults.Thisissueisanalyzedthroughtheoreticaldeductionandpracticalexampleinthispaper.Firstly,thedifferencebetweentheresultsofEulervectorsindifferentsolvingmodelsisdeduced.Meanwhile,basedonGNSShorizontalmovementfieldintheChinesemainlandfrom2004to2007,twocommonmodels(RRMandREHSM)areusedtodiscusstheimpactofsolvingmodelsonEulervectorsandthefollow-upstudy.Theresultshowsthatthemaximumvalueofthedifferenceinablock’sentirerotationcanreach2.6mm/a,andshouldnotbeignored.Therefore,theresultsofhorizontalmovementaredifferentusingdifferentkinematicblockmodels,andthisshouldbepaidmoreattentionintheanalysisofcrustalhorizontalmovement.

简介：Membranealgorithms(MAs),whichinheritfromPsystems,constituteanewparallelanddistributeframeworkforapproximatecomputation.Inthepaper,amembranealgorithmisproposedwiththeimprovementthattheinvolvedparameterscanbeadaptivelychosen.Inthealgorithm,somemembranescanevolvedynamicallyduringthecomputingprocesstospecifythevaluesoftherequestedparameters.Thenewalgorithmistestedonawell-knowncombinatorialoptimizationproblem,thetravellingsalesmanproblem.Theempiricalevidencesuggeststhattheproposedapproachisefficientandreliablewhendealingwith11benchmarkinstances,particularlyobtainingthebestoftheknownsolutionsineightinstances.Comparedwiththegeneticalgorithm,simulatedannealingalgorithm,neuralnetworkandafine-tunednon-adaptivemembranealgorithm,ouralgorithmperformsbetterthanthem.Inpractice,todesigntheairlinenetworkthatminimizethetotalroutingcostontheCABdatawithtwenty-fiveUScities,wecanquicklyobtainhighqualitysolutionsusingouralgorithm.

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简介：Athreedimensionalbounce-averagedFokker-Planck(FP)numericalcodehasbeennewlydevelopedbasedonfullyimplicititerativesolvingmethod,andrelativisticeffectisalsoincludedinthecode.Thecodehasbeentestedagainstvariousbenchmarkcases:OhmicconductivityinthepresenceofweakOhmicelectricfield,runawaylossesofelectronsinthepresenceofstrongOhmicelectricfield,lowerhybridcurrentdriveandelectroncyclotroncurrentdriveviatwo-orthree-dimensionalsimulation.Allthetestcasesrunfastandcorrectlyduringcalculations.Asaresult,thecodeprovidesasetofpowerfultoolsforstudyingradiofrequencywaveheatingandcurrentdriveintokamakplasmas.

简介：TheevolutionequationsofmomentsfortheBrowniancoagulationofnanoparticlesinbothcontinuumandfreemoleculeregimesareanalyticallystudied.TheseequationsarederivedusingaTaylor-expansiontechnique.Theself-preservingsizedistributionisinvestigatedusinganewlydefineddimensionlessparameter,andtheasymptoticvaluesforthisparameteraretheoreticallydetermined.Thedimensionlesstimerequiredforaninitialsizedistributiontoachieveself-preservationisalsoderivedinbothregimes.Oncethesizedistributionbecomesself-preserving,thetimeevolutionofthezerothandsecondmomentscanbetheoreticallyobtained,anditisfoundthatthesecondmomentvarieslinearlywithtimeinthecontinuumregime.Equivalentequations,ratherthantheoriginalonesfromwhichtheyarederived,canbeemployedtoimprovetheaccuracyoftheresultsandreducethecomputationalcostforBrowniancoagulationinthecontinuumregimeaswellasthefreemoleculeregime.

简介：Thispaperdealswithabi-extrapolatedsubgradientprojectionalgorithmbyintroducingtwoextrapolatedfactorsintheiterativesteptosolvethemultiple-setssplitfeasibilityproblem.Thestrategyisintendtoimprovetheconvergence.Anditsconvergenceisprovedundersomesuitableconditions.Numericalresultsillustratethatthebi-extrapolatedsubgradientprojectionalgorithmconvergesmorequicklythantheexistingalgorithms.

简介：Inthispaper,weproposeanearlyanalyticexponentialtimedifference(NETD)methodforsolvingthe2Dacousticandelasticwaveequations.Inthismethod,weusethenearlyanalyticdiscreteoperatortoapproximatethehigh-orderspatialdifferentialoperatorsandtransformtheseismicwaveequationsintosemi-discreteordinarydifferentialequations(ODEs).Then,theconvertedODEsystemissolvedbytheexponentialtimedifference(ETD)method.WeinvestigatethepropertiesofNETDindetail,includingthestabilityconditionfor1-Dand2-Dcases,thetheoreticalandrelativeerrors,thenumericaldispersionrelationforthe2-Dacousticcase,andthecomputationalefficiency.Inordertofurthervalidatethemethod,weapplyittosimulatingacoustic/elasticwavepropagationinmultilayermodelswhichhavestrongcontrastsandcomplexheterogeneousmedia,e.g.,theSEGmodelandtheMarmousimodel.Fromourtheoreticalanalysesandnumericalresults,theNETDcansuppressnumericaldispersioneffectivelybyusingthedisplacementandgradienttoapproximatethehigh-orderspatialderivatives.Inaddition,becauseNETDisbasedonthestructureoftheLiegroupmethodwhichpreservesthequantitativepropertiesofdifferentialequations,itcanachievemoreaccurateresultsthantheclassicalmethods.