友環公司-Maple 數值分析軟體數值運算
文章推薦指數: 80 %
解方程式是解題時常有的需要,不管是數值或符號方程式,或一般多項式,或微分方程式,常常為了求出一簡單的解而耗時甚久。
Maple這個數學軟體計對此狀況,提供了整合性的解 ...
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Maple數值分析軟體
本公司皆販售最新版本,目前版本僅供參考
最新版Maple2021更新於2021/5/23
官方提供繁體中文版
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產品介紹
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相關軟體
Maple是一套功能非常強大的數學軟體,它不但可以做數學上的符號運算和數值運算,更可以做矩陣運算、2D和3D的繪圖。
因此運用Maple可以處理大部份複雜的的數學運算、數值計算,符號計算以及解方程式是Maple的三大功能。
在Maple中有上千個內建數學命令,函數可供您直接取用,就像是功能超強的電子計算機。
Maple號稱有超過2500個指令,而Mathematica約有1000個,其中常見的數值計算功能為算術(Arithmetric)、精確解(ExactSolution)、數值近似(NumericalApproximation)、複數(Complexnumbers)、數根(FindRoots)、特殊函數(SpecialFunctions)、及數值積分(NumericalIntegration)。
Maple是最早應用人工智慧來進行符號計算的先進數學系統之一。
它所提供的工具相當完備,系統原始的解題能力更是強大。
Maple符號計算的能力使我們可以像寫作業般一步一步地解決複雜的公式推導,而這正是傳統程式語言難以完成的部分。
此外,Maple最特殊,最優越的一點就是它能善用疊代原理,將符號運算結果整理得非常簡潔,易於瞭解與處理,這點是其他相似軟體遠遠不及之處。
常見的符號運算有代數(Algebra)、微積分(Calculus)、級數展開(SeriesExpansion)等等。
解方程式是解題時常有的需要,不管是數值或符號方程式,或一般多項式,或微分方程式,常常為了求出一簡單的解而耗時甚久。
Maple這個數學軟體計對此狀況,提供了整合性的解方程式的函數,讓您在面對一般形式之方程式時,可以很快求得適當解,至於較複雜的形式,則可以數值方法來求出。
常見的解方程式則有解代數方程式(Algebraicequations)、不可解之方程式(Insolubleequations)、超越方程式(Tran-scendentalequations)、微分方程式(Differentialequations)、常微分方程式之數值解(ThenumericsolutionofODE)。
更新介紹
AlwaysMoreMath
Mapleisallaboutmath,soeverynewreleaseexpandsanddeepenstheMaplemathenginesoyoucansolvemoreproblems.
SolvingMoreODEsandPDEs
Mapleistheworldleaderinfindingexactsolutionstoordinaryandpartialdifferentialequations,andMaple2021offersnewtechniquesthatletyousolvemoreproblemsthanever.
NeedforSpeed
Performanceenhancementsincludeasignificantlyfastermapcommand,whichisusedextensivelythroughouttheMaplelibraryandinusercode.
UnderstandingtheUniverse
Maple’sstate-of-the-artenvironmentforalgebraiccomputationsinphysicsisstrongerthanever,withmoretoolsfortacklingproblemsinquantummechanics,generalrelativity,andmore.
LooksJustRight
Sometimessmallchangescanmakeabigdifference,likewhenplotdomainsareautomaticallyselectedtoputthemostinterestingfeaturesofagraphfrontandcenter.
StreamliningtheWorkflow
WorkinginDocumentModeisnowjustalittlesmoother,withnewwaystoinsertblanklines,combinemathandtext,andadvancetothenextcomputation.
LaTeXMadeEasy
WithitsgreatlyimprovedLaTeXsupport,youcantakeadvantageofMaple’sauthoringenvironmentandtheneasilyconvertyourworktoLaTeXwithouttheneedforfurtheradjustments
SignalsandImages
Moretoolsmeanyoucananalyzesignalsandimagesinnewways,usingcommandsorthecontextmenus.
StudyBuddies
AllthreeClickableCalculusStudyGuidesarenowincludedwithMaple,tohelpyoulearnandteachCalculus,Precalculus,andMultivariateCalculus.
LearningaboutDifferentialEquations
ThenewStudentODEspackageprovideslotsoftoolsforlearningaboutdifferentialequations,includinghelpfulvisualizationsandstep-by-stepsolvers.
CreatingContentforMapleLearn
NewcontentcreationtoolsmakeiteasytocreatesophisticatedMapleLearnapplications,andthetoolscanbeusedforMaplecontent,too.
可直接輸出成PDF檔。
可直接複製成MathML格式:可以在所有支援MathML(數學標記語言)的應用程式直接貼上並做修改。
完整的3D標註功能:許多以前只能在2D圖形上做的標註功能,現在都可以在3D圖形上進行標註。
座標軸上標示單位:可在座標軸上標示單位,協助理解圖形的含義。
版本轉換工具:內建工具可將舊版的Maple檔案轉換成新版本,並利用新版的所有功能。
智慧型選單中新增DynamicSystems函式集中的功能:方程式處理器更容易使用,而且可直接輸入2D數學形式。
內建全新的”複數小老師”:可幫助您以互動的方式學習複數。
逐步學習小老師”:可幫助您逐步學習Maple,從數學輸入、繪圖,到更進階的建立文件、資料結構及互動式的應用等。
多項式系統求解:可以輸入未定係數的多項式及此多項式的解,反求其係數。
擴充CAD連結至NX:原先可與SolidWorks及Inventor直接連結進行最佳化,新版更新增了與NX的連結。
微積分逐步求解:除了可利用小工具做微分、積分及極限的逐步求解,新版本更可直接在文件中計算並列出所有求解過程。
學生專用”數值分析”函式集:可將許多數值分析方法具像化,可幫助學生理解、並逐步學習數值方法。
向量微積分工作樣板:提供超過50種向量微積分的工作樣板,讓您以填空的方式解決各種向量為積分的問題。
微分方程求解:新版的Maple更加強化了微分方程的求解能力,並新增了許多求解方法及世界級的求解器。
強化方程式求解:增加多種求解方程式及不等式的方法。
多執行緒核心:提供簡便的工具,幫助您更輕易地撰寫多執行緒程式碼。
Windows®(64-bit)
Version
CPU*
RecommendedRAM
HardDisk
WindowsServer2016,2019
1.4gigahertz(GHz)orfaster64-bit(x64)
4GB
10GB
Windows10
1gigahertz(GHz)orfaster64-bit(x64)
4GB
10GB
16-bitcolorat1024by768(orgreater)resolutionrecommended.
InternalTCP/IPconnectionsenabled.
Systemperformancemaybeaffectedifrunningbelowtherecommendedmemoryrequirement.
64bitLinux®SystemRequirements
OperatingSystem
CPU*
RecommendedRAM
HardDisk
RedHatEnterpriseLinux7.7,8.0
1gigahertz(GHz)orfaster64-bit(x64)
4GB
10GB
SUSELinuxEnterpriseDesktop15
1gigahertz(GHz)orfaster64-bit(x64)
4GB
10GB
Ubuntu20.04LTS,20.10
1gigahertz(GHz)orfaster64-bit(x64)
4GB
10GB
16-bitcolorat1024by768(orgreater)resolutionrecommended.
X11R6
InternalTCP/IPconnectionsenabled.
Systemperformancemaybeaffectedifrunningbelowtherecommendedmemoryrequirement.
ClassicWorksheetisnotavailableon64-bitLinux.
Mac®
OperatingSystem
CPU
RecommendedRAM
HardDisk
macOS11,10.15,10.14
64-bit,Intel
4GB
10GB
macOS11
AppleM1
4GB
10GB
16-bitcolorat1024by768(orgreater)resolutionrecommended.
InternalTCP/IPconnectionsenabled.
ClassicWorksheetisnotavailableonthisplatform.
Systemperformancemaybeaffectedifrunningbelowtherecommendedmemoryrequirement.
Rosetta2isrequiredforMacswithApplesilicon
ConnectivityFeatureRequirements
Maplehasbuilt-inconnectivityfeatureswithvariousothersoftwaretools.ThefollowingtablelistswhichversionsofthoseproductsarecompatiblewithMaple2019.ItisnotnecessarytohavetheseproductstouseMaple.Theserequirementsareonlyforthosewishingtotakeadvantageoftheconnectivityfeatures.
Package
Versions
Microsoft® Excel®
2019,2016
MATLAB®
2020b,2020a,2019b
DatabaseConnectivity
SQLiteoranydatabaseforwhichaJDBC-compliantdriverisavailable
CAD
SolidWorks® 2013(32-bitor64-bit)onWindows
AutodeskInventor® 2014or2015(32-bitor64-bit)onWindows
NX®11or12(32-bitor64-bit)onWindowswiththeMicrosoft.NETFrameworkinstalled.
MapleAdd-ons:
GlobalOptimizationPoweredbyOptimus®
TheMapleGlobalOptimizationToolboxhelpsyoufindthebestpossiblesolutiontoyouroptimizationproblems.Whenfacedwithnon-lineardecisionmodelsthathaveanumberoflocalsolutions,globaloptimizationtechniquesallowyoutodeterminethemostefficient,optimalsolutionratherthanmerelyafeasible,sub-optimalone.Byimplementingtheoptimalsolution,youcanproducesuperiordesignsandoperations,andreduceexpensesintermsofreliability,time,money,andotherresources.
ThistoolboxispoweredbyOptimustechnologyfromNoesisSolutions.Optimusisaplatformforsimulationprocessintegrationanddesignoptimizationthatincludespowerfuloptimizationalgorithms.ThissameprovenoptimizationtechnologyisavailabletoMapleusersastheenginebehindtheGlobalOptimizationToolbox.Withthistoolbox,youcanformulateoptimizationmodelseasilyinsidethepowerfulMaplenumericandsymbolicsystem,andthenuseworld-classoptimizationtechnologytoreturnthebestanswerrobustlyandefficiently.
BlockImporter
BlockImporterisaMapleadd-onthatallowsyoutoimportaSimulink®modelintoMapleandconvertittoasetofmathematicalequations.Itcanthenbeanalyzed,optimized,simplified,turnedintoaMapleSimcustomcomponentforinclusioninMapleSim,andexportedbacktoSimulink®usingtheMapleSimConnector. Thisconversionenablestheusertovalidatethemathematicalintegrityofthemodel,performfurtheranalysis,documentthesystem,eliminatealgebraicloops,andincreaseSimulink®executionspeed.
ModelCenter®Plug-inforMapleandMapleSim
MaplesoftandPhoenixIntegrationhaveworkedtogethertodevelopaplug-inthatallowsengineerstointegrateMapleandMapleSimintotheModelCenter®workflowintegrationandautomationplatformfromPhoenixIntegration,soengineerscaneasilytakeadvantageofthesepowerfulmodeling,simulation,andanalysistoolsinsideanintegrateddevelopmentenvironment.Asaresult,customerscancombinethereducedrisk,improveddesigns,andshorterdevelopmenttimesthatcomefromusingMaplesofttoolswiththeefficienciesthatcomefromusingaprocessintegrationplatform.
GridComputing
TheMapleGridComputingToolboxenablesyoutorunMaplecomputationsinparallel,takingadvantageofallyourhardwareresources,cuttingdownonprocessingtime,andenablingapplicationsthatwerenotpossiblebefore.
WiththeMapleGridComputingToolbox,youcandistributecomputationsacrossthenodesofanetworkofworkstations,asupercomputeror,theCPUsofamultiprocessorcomputer.Thisallowsyoutohandleproblemsthatarenottractableonasinglemachinebecauseofmemorylimitationsorbecauseitwouldsimplytaketoolong.
MapleNet
BringingthePowerofMapletoOnlineApplications
WithMapleNet,youcaneasilyshareyourMapledocuments,calculators,andtechnicalapplications.Yourcolleaguescaninteractwithyourcontent,performcalculations,andvisualizeresults,allfromwithinastandardwebbrowser.
Mapleprovidesthemostintuitiveinterfaceavailableforcreatingwebapplicationsthatrelyonmathematicalcomputations.Yousimplydragbuttons,sliders,mathinputregions,andotherinteractivecomponentsintoyourMapledocumenttocreatetheinterface,andaddthefunctionalitybehindthosecomponentsusingMaple'shigh-level,mathematicallysophisticatedprogramminglanguage.Oncecompleted,yousimplysavetheMapledocumentontheMapleNetservertomakeyourapplicationavailableonline.
QuantumChemistryToolboxfromRDMChem
MapleQuantumChemistryToolbox
Predict,explore,anddesignnovelmoleculesinapowerful,easy-to-useenvironment.TheMapleQuantumChemistryToolboxfromRDMChemcombinesmodernquantumchemistrysoftwaretechniqueswiththemathematicalpowerandusabilityofMapletoprovideacomprehensive,easy-to-useenvironmentfortheparallelcomputationoftheelectronicenergiesandpropertiesofmolecules.Withthistoolbox,youcan:
Definemoleculesinstantlyfromadatabaseofmorethan96millionmolecules
Runquantumcomputationswithwell-knownelectronicstructuremethodsaswellasrecentlydevelopedadvancedmethods,enablingcutting-edgeresearch
Analyzemolecularenergiesandpropertiesthroughpublication-quality,2-Dand3-Dplotsandanimations.
Thetoolboxincludesdensityfunctionaltheoryandwavefunctionmethodsaswellasadvancedreduceddensitymatrix(RDM)techniques.TheRDMtechniques,whichareuniquetothetoolbox,arewell-suitedforstronglycorrelatedmoleculeswheretheycanaccuratelydescribequantumeffectsthataredifficulttotreatbyconventionalmethods.
TheQuantumChemistryToolboxisdesignedandimplementedbyRDMChemLLC,whichwasfoundedtodevelopthenextgenerationofcomputationalchemistrysoftwarewithapplicationstoengineering,molecularbiology,andphysics.
MapleSim
從用於虛擬調試的數位分身到用於復雜工程設計項目的系統級模型,MapleSim是一種先進的建模工具,可幫助您降低開發風險,降低成本並實現創新。
快速創建和測試初始概念
通過實現快速原型設計和設計概念測試,MapleSim可讓您在更短的時間內嘗試更多創意,讓您快速上手並激發創意設計流程。
用於建模多域系統的自然環境
使用MapleSim,您可以在單個環境中對整個系統進行建模,因此您可以跟踪不同域之間意外交互所產生的設計缺陷,甚至可以防止這些問題首先發生。
計算效率高的模型
MapleSim可生成高保真,計算效率高的模型,適用於在環仿真,控制器設計以及優化,靈敏度分析和參數掃描等活動,其中需要進行許多模擬才能獲得結果。
MapleSimAdd-ons:
MapleSimConnector
WiththeMapleSimConnector,youcanenhanceandextendyourSimulink®modelsbyintegratingMapleSim'shigh-performance,multi-domainenvironmentintoyourexistingtoolchain.
MapleSimConnectorforFMI
TheMapleSimConnectorforFMIallowsyoutosharehigh-fidelity,multidomainmodelscreatedinMapleSimwithothermodelingtools.FMI(FunctionalMockupInterface)isastandardformatfordefiningmodelsestablishedwiththesupportoftheModelicaAssociationtofacilitatethesharingofmodelsacrossdifferenttoolsets.Thisopenstandardissupportedbymanymodelingtools,includingfullmodelingenvironments,finiteelementtools,andprogramminglanguages.
MapleSimCADToolbox
WiththenewMapleSimCADToolbox,youcanseehowyourmechanicalCADmodelswillbehaveaspartofalarger,multidomainsystem,andapplyMapleSim'sadvancedanalysistoolstoimproveyourdesigns.ThistoolboxmakesiteasytoimportCADmodelsintoMapleSim,automaticallycapturingthekinematicandkineticpropertiesofthemodelcomponents.
ModelCenter®Plug-inforMapleandMapleSim
MaplesoftandPhoenixIntegrationhaveworkedtogethertodevelopaplug-inthatallowsengineerstointegrateMapleandMapleSimintotheModelCenter®workflowintegrationandautomationplatformfromPhoenixIntegration,soengineerscaneasilytakeadvantageofthesepowerfulmodeling,simulation,andanalysistoolsinsideanintegrateddevelopmentenvironment.Asaresult,customerscancombinethereducedrisk,improveddesigns,andshorterdevelopmenttimesthatcomefromusingMaplesofttoolswiththeefficienciesthatcomefromusingaprocessintegrationplatform.
MapleSimControlDesignToolbox
TheMapleSimControlDesignToolboxprovidesasolidsetofessentialcontroldesigntoolsthatextendMapleSim’sexceptionalplantmodelingcapabilitiestosupportcontroldesign.TheMapleSimControlDesignToolboxprovides:
Greaterflexibilityandaccuracyinyourcontrollers.Thesymbolicapproachfordesigning,analyzing,andtestingcontrolsystemsproducessuperiorresults.
Increasedreusabilityofyourcontrollerdesigns.YoucandocumentyourdesigndecisionsusingtheextensivetechnicaldocumentationtoolsavailablewithMapleSim.
Anaccelerateddesignprocess.Developingyourplantsandcontrollerstogetherinthesameenvironmentreducestheneedforinefficienttool-swapping.
MapleSimDrivelineLibrary
MaplesofthasdevelopedtheMapleSimDrivelineLibrary,acollectionofcomponents,transmissionsub-assemblies,andcompletepowertrainexamplesthatshowtheuseofthesecomponentsindrivelineapplications.Builtwithguidancefromseveraltransmissionmanufacturers,thisMapleSimlibraryallowsyoutomixthebestofphysicalmodelsandempiricaldatatomaximizemodelfidelity,optimizeyourdesigns,andimproveoverallvehiclefuel-efficiency.
MapleSimHeatTransferLibraryfromCYBERNET
TheMapleSimHeatTransferLibraryfromCYBERNETgivesyouacomprehensiveviewintotheheattransfereffectspresentinyourmodel,enablingyoutorefineyourdesigntoimproveperformanceandavoidoverheating.Thiscomponentlibraryisusefulforanysituationwhereheatgenerationisaconcern,especiallywhentherearemovingboundariesbetweenheatgeneratingcomponents,suchasmotors,batteries,printers,andmanufacturingequipment.
Gainacomprehensiveunderstandingoftheheattransfereffectsinyourmodel.
Easilytestoutnewconfigurationsmuchmorequicklythanwithothermodelingtools.
Generatethediscretizedmodelusingcommon,built-ingeometriesandthenautomaticallycheckthetemperaturedistributioninsystem-levelsimulations.
Customizethematerialsandgeometryofyourdesignwhendealingwithmorecomplicatedgeometries.
MapleSimHydraulicsLibrary®fromModelon
MaplesofthasformedatechnologypartnershipwithModelon,arenowneddeveloperofhigh-qualityModelicalibraries,toprovideindustry-testedhydraulicscomponentswithinthesystem-levelmodelingenvironmentofMapleSim.WiththeMapleSimHydraulicsLibraryfromModelon,youcanseamlesslyincorporateadvancedhydraulicscomponentsintoyourMapleSimmodelswhilecontinuingtotakefulladvantageofallthemodeling,analysis,andsimulationabilitiesofMapleSim.
MapleSimPneumaticsLibrary®fromModelon
TheMapleSimPneumaticsLibraryfromModelonisanadd-onlibraryforMapleSimthatletsyoutakeadvantageofthepowerful,industry-testedcomponentlibraryfromModeloninyoursystem-leveldesigns.Thislibrarycanbeusedinthemodelingandsimulationofpneumaticsystemsforsystemdesign,componentsizing,andcontroldesign,withapplicationsinconstructionequipment,machinedesign,commercialvehicledesign,andmore.
MapleSimConnectorforLabVIEW™andNIVeriStand™Software
WiththeMapleSimConnectorforLabVIEW™andNIVeriStand™Software,youcanextendyourNILabVIEWandNIVeriStandapplicationsbyintegratingMapleSim'shigh-performance,multi-domainenvironmentintoyourexistingtoolchain.
ComplexengineeringsystemmodelscanbedevelopedandoptimizedrapidlyintheintuitivevisualmodelingenvironmentofMapleSim.
Thehigh-performance,high-fidelityMapleSimmodelsareautomaticallyconvertedtouser-codeblocksforeasyinclusioninyourLabVIEWVIsandNIVeriStandApplications.
Themodelcodeisfullyoptimizedforhigh-speedreal-timesimulation,allowingyoutogettheperformanceyouneedforhardware-in-the-loop(HIL)testingwithoutsacrificingfidelity.
MapleSimTireLibrary
WiththeMapleSimTireLibrary,engineerscanextendtheirhigh-fidelity,multi-domainMapleSimvehiclemodelswithhigh-performancepneumatictirecomponents.TheMapleSimTireLibraryprovidesMapleSimuserswithindustrystandardtireforcemodelcomponentssuchasFiala,Calspan,andPacejka’smagictireformula.Inaddition,lineartiremodelsanduser-definedtiremodelsareavailabletoprovideflexibilityforinvestigationandanalysis.Withtheeasy-to-usepoint-and-clickMapleSimgraphicalenvironment,thesefullyparameterizedforcemodelscanbeintegratedintoexistingvehicledynamicsmodelsbysimplydraggingthecomponentintothediagramandconnectingittothevehiclemodel.
MapleSimConnectorforJMAG®-RT
TheMapleSimConnectorforJMAG-RTallowsyoutocombinethepowerfulfiniteelementanalysis(FEA)abilitiesofJMAGwiththeadvancedphysicalmodelingapproachofMapleSimtoproducehigh-fidelitysystemmodelsthatseamlesslyincorporatecomponentsfromeachsystem.
IncludehighlydetailedmotorandgeneratormodelsfromJMAGaspartofyourMapleSimmultidomainsystemmodels.
Furtherrefineyoursystemmodelbyimplementingpoweroutputcharacteristics,suchastorqueandspeed,basedoninductanceandcounter-electromotiveforceinformationfromtheJMAGmodel. Forexample,youcanincorporatenon-sinusoidalfluxesandcurrentsthatarearesultofasymmetricmotorconstruction.
Producehighlyoptimized,auto-generatedcodeofyourentiresystemmodel,suitableforreal-timeexecutionandhardware-andsoftware-in-the-looptesting.
MapleSimBatteryLibrary
TheMapleSimBatteryLibraryallowsyoutoincorporatephysics-basedpredictivemodelsofbatterycellsintoyourmultidomainsystem-levelmodels.
Savetimeandavoidproblemsbytakingbatterybehaviorintoaccountearlyinyourdesignprocess.
Understandtheloadingeffectonthebatteryasitundergoesmanydifferentdutycyclesandhowthebatterywillbehaveaspartofthegreatersystem.
Gainabetterunderstandingoftheheatflowinthebattery,howrisingtemperatureandageaffectsefficiency,andwhatcriticalfactorscouldcausethermalrunaway.
Adjustyourdesignstooptimizeperformanceandreducetheriskofundesirableeffects.
MapleSimExplorer
TheMapleSimExplorerprovidesacost-effectivedeploymentsolutionthatenablesyoutomakeyourMapleSimmodelsavailabletomorepeopleinyourorganization.WiththeMapleSimExplorer,youcanmaketheknowledgeembeddedinyourMapleSimmodelsavailabletootherengineerstosupporttheirdecisionmaking.Asaresult,youcanavoidoverloadingyourmodelingexpertswithrequeststhatdonotrequiremodelingexpertise,whilestillgettingtheanswersyourorganizationneeds.
MapleSimServer
TheMapleSimServerprovidesaneasywebdeploymentoptionforyourMapleSim-basedsolutions.TheMapleSimServerallowsengineersthroughoutyourorganizationtoexploreMapleSimsimulationmodelsfromawebbrowser,eveniftheydonothaveMapleSim.
MapleSimModelica®Engine
TheMapleSimModelicaEngineisthepowerfulsystem-levelmodelingenginethatliesattheheartofMapleSim.ThisenginecanbelicensedasanOEMproductforinclusioninyourownapplicationsandproducts.
MapleMBSE
MapleMBSEisanExcel-basedtoolthatmakesiteasyforeverystakeholdertoengagewiththeSystemsEngineering(SE)projectwithoutrequiringthemtobeanexpertinyourprimarySEtools.
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