课件案例讲稿2equation formulation

AdvancedVLSI GraduateCourseFudanByProf.XuannfCourse：现代集成电路分析Advanced CourseCodeHoursof Credit:2MicroelectronicsDepartment,FudannfeProfXuanZeng曾MicroelectronicsBuilding, ProfFan 博士MicroelectronicsBuilding, Teaching： ，学号 寄3MicroelectronicsDepartment,FudaneTohelptheattendeestounderstandthebasicmethodologyofVLSIcircuit especiallythemodelorderreductiontechniquesforlarge-scalecircuitandtheysismethodsfornon-linearTohelptheattendeestodeveloptheabilityofreasoning,yzing,andprogrammingintheareaofcircuitysis4MicroelectronicsDepartment,FudannfeProjectDevelopofalinearcircuitformulatorusingApprox.4C/C++ ProjectDevelopofalinearcircuitsimulatorusingbackwardEulermethodApprox.35MicroelectronicsDepartment,FudannofCProjectUsing tivemethodtosolvethealgebraicequationsusedinProjectApprox.2ProjectDevelopaprogramforthesteady ysisofnonlinearApprox.3ProjectDevelopaprogramforthemodelorderreductionoflinearApprox.36MicroelectronicsDepartment,FudanLinearICDesignFlowandC/C++7MicroelectronicsDepartment,FudanJiriVlachandKishoreSinghal,“ComputerMethodsfor ysisandDesign”,2ndEdition.VanNostrandReinhold,N.Y.,1994.MustafaCelik,LawrencePileggiandAltanOdabasioglu, ysis”,KluwerAcademicPublisher,LeonO.Chua&Pen-MinLin,“Computer-Aided ysisofElectronicCircuits:AlgorithmsandComputationalTechniques”.PrenticeHall1975.JamesW.Demmel,“AppliedNumericalLinearRichardBarrett,MichaelBerry,etc.,“TemtesfortheSolutionoflinearsystems:BuildingBlocksforItiveMethods”,SIAM,1994.G.H.戈卢布 湘等译，“矩阵计算”，科学版社，2001余庆健，“计算机辅助电路分析与设计”，华 ，高敦堂，“电路与系统理论”，高等教 ，1986 MicroelectronicsDepartment,FudanMicroelectronicsDepartment,FudanFormulationofCircuitEquationsProf.XuanZengMicroelectronicsDept.Fudan1Introduction1Introduction 2EquationFormulationMethods:MNAmethod,Stam3DirectMethodsforSparseLinearSystems:GE,LUmethods4ItionMethods:G-S,Jacobi,SOR,QR5KrylovsubspacemethodsI:QRmin.view,GCR6KrylovsubspacemethodsII:ConvergenceysisofGCR7NonlinearsolutionMethods:Newtonmethod8SolutionmethodsforODE:FE,BEmethods9Steadystatemethods:Finite-elementMethods,ShootingMethods,SpectralMethods10MORI:padeapproximation,AW11MORII:Projectionmethodsforfirstordersystem12MORIII:ProjectionmethodsforsecondordersystemMicroelectronicsDepartment,FudanutCircuitEquationPowerDistributionNA ysis)MNA(Modified ysis)MicroelectronicsDepartment,FudanStandardVD

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