简介：断绝的衍生物是迪拉克奇特，由不连续的功能乘他们通常不是可能的。然而，在能量守恒定律的上下文，我们在一份最近的报纸证明了它能被做。我们将使用这个新框架撕了访问他们能被改正保守并且研究象Euler那样的困难的问题的一些迎风的方法，主要典型的计划，和表演“为液体的s方程。Numerousnumerical结果被给。

简介：Fortheconservativeandnon-conservativeschemesofnonlinearevolutionequations,bytakingthetwo-dimensionalshallowwaterwaveequationsasanexample,acomparativeanalysisoncomputationalstabilityiscarriedout.Therelationshipbetweenthenonlinearcomputationalstability,thestructureofthedifferenceschemes,andtheformofinitialvaluesisalsodiscussed.

简介：InthispaperconservationlawsofnonholonomicnonconservativedynamicalsystemsarestudiedbyusingthedifferentialvariationalprinciplesofJourdainandthegeneralizedNoether’sidenti-tiesofnonconservativesystemssubjecttofirstordernonlinearnonholonomicconstraintsareprovided.

简介：Inthispaper,weprovethatforholonomicnonconservativedynamicalsystemthePoincareandPoincaré-Cartanintegralinvariantsdonotexist.Insteadofthem,weintroducetheintegralvariantsofPoincaréCartan’stypeandofPoincaré’stypeforholonomienoneonservativedynamicalsystems,andusethesevariantstosolvetheproblemofnonlinearvibration.Wealsoprovethattheintegralinvariantsintro-ducedinreferences[1]and[2]aremerelythebasicintegralvariantsgivenbythispaper.

简介：Thecurrentstructure-preservingtheory,includingthesymplecticmethodandthemultisymplecticmethod,paysmostattentionontheconservativepropertiesofthecontinuoussystemsbecausethattheconservativepropertiesoftheconservativesystemscanbeformulatedinthemathematicalform.But,thenonconservativecharacteristicsarethenatureofthesystemsexistinginengineering.Inthisletter,thestructure-preservingapproachfortheinfinitedimensionalnonconservativesystemsisproposedbasedonthegeneralizedmulti-symplecticmethodtobroadentheapplicationfieldsofthecurrentstructure-preservingidea.Inthenumericalexamples,twononconservativefactors,includingthestrongexcitationonthestringandtheimpactonthecantilever,areconsideredrespectively.Thevibrationsofthestringandthecantileverareinvestigatedbythestructure-preservingapproachandthegoodlong-timenumericalbehaviorsaswellasthehighnumericalprecisionofwhichareillustratedbythenumericalresultspresented.

简介：Inthispaper,theparametricequationswithmultipliersofnonholonomicnonconservativesys-temsintheeventspaceareestablished,theirpropertiesarestudied,andtheirexplicitformulationisobtained.Andthenthefieldmethodforintegratingtheseequationsisgiven.Finally,anexampleillustratingtheappli-cationoftheintegrationmethodisgiven.