简介:讨论了形如∫a^a+h(x-a)βf(x)dx的Gauss-Jacobi求积公式,当积分区间长度趋向于零时,确定了求积公式的余项中介点η的渐近性,并给出了校正公式,比原公式提高了两次代数精度.此外,本文的结论包含了文[3]的结果.
简介:本文给出一个推广的含Cauchy核奇异积分的内插值求积公式,并讨论所得求积公式的误差估计和收敛性.
简介:TheauthorobtainsaWeierstrassrepresentationforsurfaceswithprescribednormalGaussmapandGausscurvatureinH3.AdifferentialequationaboutthehyperbolicGaussmapisalsoobtained,whichcharacterizestherelationamongthehyperbolicGaussmap,thenormalGaussmapandGausscurvature.TheauthordiscussestheharmonicityofthenormalGaussmapandthehyperbolicGaussmapfromsurfacewithconstantGausscurvatureinH3toS2withcertainalteredconformalmetric.Finally,theauthorconsidersthesurfacewhosenormalGaussmapisconformalandderivesacompletelynonlineardifferentialequationofsecondorderwhichgraphmustsatisfy.
简介:LetthelinearsystemAx=bwherethecoefficientmatrixA=(aij)∈Rm,nisanL-ma-trix(thatis,aij>0(?)iandaij≤0(?)i≠j),A=I-L-U,Iistheidentitymatrix,-Land-Uare,respectively,strictlylowerandstrictlyuppertriangularpartsofA.In[1]theauthorsconsideredtwopreconditionedlinearsystems?x=(?)and?x=(?)
简介:Inthispaper,ageneralalgorithmforthecomputationoftheFouriercoefficientsof2π-periodic(continuous)functionsisdevelopedbasedonDirichletcharacters,GausssumsandthegeneralizedM¨obiustransform.ItpermitsthedirectextractionoftheFouriercosineandsinecoefficients.Threespecialcasesofouralgorithmarepresented.AVLSIarchitectureispresentedandtheerrorestimatesaregiven.
简介:AnasynchronousparallelmultisplittingnonlinearGauss-SeideliterativemethodisestablishedfortheparticularlystructuredsystemofnonlinearequationsAφ(x)+Bφ(x)=bwithA,B∈(R^n)φ,φtR^n→R^nbeingdiagonalmappingsandb∈R^n,andtheglobalconvergenceofitisproved.