摘要
SymplecticintegrationofseparableHamiltonianordinaryandpartialdifferentialequationsisdiscussed.AvonNeumannanalysisisperformedtoachievegenerallinearstabilitycriteriaforsymplecticmethodsappliedtoarestrictedclassofHamiltonianPDEs.Inthistreatment,thesymplecticstepisperformedpriortothespatialstep,asopposedtothestandardapproachofspatiallydiscretisingthePDEtoformasystemofHamiltonianODEstowhichasymplecticintegratorcanbeapplied.InthiswaystabilitycriteriaareachievedbyconsideringthespectraoflinearisedHamiltonianPDEsratherthanspatialstepsize.
出版日期
2002年06月16日（中国期刊网平台首次上网日期，不代表论文的发表时间）
