简介：先给出Neumann-Bessel级数的核函数的精确的渐近表示,然后讨论该级数的部分和的收敛速度及其Fejer和的类逼近问题.从中说明了对于非三角级数也能得到相应三角级数中类逼近的精密结果.

简介：讨论了单位圆域上Bcasel级数的Fejer和的—致逼近．给出了它的饱和阶和饱和类．

简介：Inthispaper,weconsidertheNeumannboundaryvalueproblemofSchrodingeroperatorwithmeasurepotentia1μ.First,amartingaleformulationoftheNeumannproblemandananalyticcharacterizationofthemartingaleformulationaregiven.Then,byusingtheDirichletformsandStochasticanalysisweobtainanexplicitformulafortheuniqueweaksolotionofthisproblemintermsofreflectingBrownianmotionandit’sboundarylocaltime.

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简介：计算时间较长和存储空间较大,是时域有限差分法在PC系统上求解声场问题的瓶颈.为解决该问题,我们研究了由数个PC机、计算机网络和MPI并行编程实现的并行时域有限差分算法及其在声场计算中的应用,并在此基础上对Bessel声场进行了仿真.结果表明:并行计算在声场的时域有限差分法算法中,能明显提高计算效率并降低对单个PC机存储空间的要求,而虚拟拓扑结构的优化,能够提高并行计算的效率.

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简介：Theobjectiveofthisnoteistoprovidesome(potentiallyuseful)integraltransforms(forexample,Euler,Laplace,Whittakeretc.)associatedwiththegeneralizedk-BesselfunctiondefinedbySaifulandNisar[3].Wehavealsodiscussedsomeothertransformsasspecialcasesofourmainresults.

简介：摘要本文首先介绍了贝塞尔函数的来源，然后介绍了其在物理学中的应用。贝塞尔函数在物理学中的应用是很广泛的，笔者主要以贝塞尔函数在热传导问题、量子力学和电动力学中的应用为例来说明它的应用。?

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简介：通过对激波曲线的分析，研究了Euler方程组的激波反射结构，给出了Euler方程组激波反射现象中发生冯·诺依曼矛盾（VonNeumannParadox）的一个充分条件，该条件是非必要的。结果表明，当给定绝热指数时，是否发生VonNeumannParadox依赖于入射激波的马赫数和入射角。研究结果为激波反射分类和弱激波反射的研究提供一定依据。

简介：这份报纸与Dirichlet-Neumann状况处理nonhomogeneous绳的周期的答案的存在。作者考虑时期是荒谬的盒子空格长度多重并且为某荒谬的数字证明那，零不是联系线性操作符的光谱的累积点。这结果能被用来证明周期的答案的存在避免使用Nash-Moser重复。

简介：ThispaperdealswithaproblemproposedbyH.BrezisontheexistenceofpositivesolutionstotheequationΔu+u^(n+2)/(n-2)+f(x,u)=0undertheNeumannboundaryconditionDru=u^n/(n-2),wheref(x,u)isalowerorderperturbationofu^(n+2)/(n-2)atinfinity.

简介：Thetraditionalone-dimensionalultrasonicbeamsteeringhastimedelayandisthusacomplicatedproblem.AnumericalmodelofultrasonicbeamsteeringusingNeumannboundaryconditioninmultiplysicsispresentedinthepresentpaper.Thismodelisbasedonthediscretewavenumbermethodthathasbeenprovedtheoreticallytosatisfythecontinuousconditions.Thepropagatingangleofnovelmodelisafunctionofthedistanceinsteadofthetimedomain.Thepropagatingwavefrontsatdesiredanglesaresimulatedwiththesinglelinesourcesforplanewave.Theresultindicatesthatanybeamanglecanbesteeredbydiscretelineelementsresourceswithoutanytimedelay.

简介：TheVeselov’sdiscreteNeumannsystemisderivedthroughnonlinearizationofadiscretespectralproblem.BasedonthecommutativerelationbetweentheLaxmatrixandtheDarbouxmatrixwithfinitegenuspotentials,aspecialsolutioniscalculatedwiththehelpoftheBaker-Akhiezer-Kriecheverfunction.

简介：WeshowthatmanyharmonicanalysisoperatorsintheBesselsetting,includingmaximaloperators,Littlewood–Paley–Steintypesquarefunctions,multipliersofLaplaceorLaplace–StieltjestransformtypeandRiesztransformsare,orcanbeviewedas,Calderón–Zygmundoperatorsforallpossiblevaluesoftypeparameterλinthiscontext.Thisextendsresultsexistingintheliterature,butbeingjustifiedonlyforarestrictedrangeofλ.

简介：SymplecticintegrationofseparableHamiltonianordinaryandpartialdifferentialequationsisdiscussed.AvonNeumannanalysisisperformedtoachievegenerallinearstabilitycriteriaforsymplecticmethodsappliedtoarestrictedclassofHamiltonianPDEs.Inthistreatment,thesymplecticstepisperformedpriortothespatialstep,asopposedtothestandardapproachofspatiallydiscretisingthePDEtoformasystemofHamiltonianODEstowhichasymplecticintegratorcanbeapplied.InthiswaystabilitycriteriaareachievedbyconsideringthespectraoflinearisedHamiltonianPDEsratherthanspatialstepsize.

简介：我们在三或四个尺寸空格与nonpositiveanisotropy常数为Landau-Lifshitz方程的非零Neumann起始边界的值问题建立存在和部分整齐的扩展结果。部分整齐被证明直到边界，这结果是对为Dirichlet问题或同类的Neumann问题的那些的重要补充。

简介：Inthispaper,westudyanddiscusstheexistenceofmultiplesolutionsofaclassofnon-linearellipticequationswithNeumannboundarycondition,andobtainatleastsevennon-trivialsolutionsinwhichtwoarepositive,twoarenegativeandthreearesign-changing.Thestudyofproblem(1.1):{-△u+αu=f(u),x∈Ω,x∈Ω,δu/δr=0,x∈δΩ,isbasedonthevariationalmethodsandcriticalpointtheory.Weformourconclusionbyusingthesub-supsolutionmethod,MountainPassTheoreminorderintervals,Leray-Schauderdegreetheoryandtheinvarianceofdecreasingflow.

简介：ThispaperisconcernedwiththeglobalexistenceandthepartialregularityfortheweaksolutionoftheLandau-Lifshitz-MaxellsystemintwodimensionswithNeumannboundaryconditions.