简介：我们显示出那，在T在有值τ的Rn给变换是其Fourier的tempered分发T多项式生长和点x的一个函数(在意义?ojasiewicz)，在x的T的Fourier积分是在到τ的Bochner-Riesz工具的summable。

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简介：一个方法为转换被描述在Laguerre多项式使用扩大并且把Mellin变换变换成Laplace变换的Mellin变换，然后，Laplace变换被合适的替换变换成第一个客气的卷绕旋转积分方程。那么获得的不可分的方程是一个提出病的问题，我们使用花键规则化解决它。方法的性能被在文学可得到的测试函数的倒置说明[J。Inst。数学。与Appl。20(1977)，p。73]，[J。数学。Comp。53(1989)，p。589]，[J。Sci。Stat。Comp。4(1983)，p。164]。方法的有效性被获得的结果显示出借助于桌子和图示威了。

简介：Time-LapseSeismicimprovesoilrecoveryratiobydynamicreservoirmonitoring.Becauseofthelargenumberofseismicexplorationsintheprocessoftime-lapseseismicinversion,traditionalmethodsneedplentyofinversioncalculationswhichcosthighcomputationalworks.Themethodisthereforeinefficient.Inthispaper,inordertoreducetherepeatingcomputationsintraditional,anewtime-lapseseismicinversionmethodisputforward.Firstlyahomotopy-regularizationmethodisproposedforthefirsttimeinversion.Secondly,withthefirsttimeinversionresultsastheinitialvalueoffollowingmodel,amodelofthesecondtimeinversionisrebuiltbyanalyzingthecharactersoftime-lapseseismicandlocalizedinversionmethodisdesignedbyusingthemodel.Finally,throughsimulation,thecomparisonbetweentraditionalmethodandthenewschemeisgiven.Oursimulationresultsshowthatthenewschemecouldsavethealgorithmcomputationsgreatly.

简介：Thispaperdevelopsanumericalmethodtoinvertmulti-dimensionalLaplacetransforms.Byavariabletransform,Laplacetransformsareconvertedtomulti-dimensionalHansdorffmomentproblemssothatthenumericalsolutioncanbeachieved.Stabilityestimationisalsoobtained.Numericalsimulationsshowtheefficiencyandpracticalityofthemethod.

简介：WepresentcomponentwiseconditionnumbersfortheproblemsofMoorePenrosegeneralizedmatrixinversionandlinearleastsquares.Also,theconditionnumbersfortheseconditionnumbersaregiven.

简介：AbstractFortheweaklyinhomogeneousacousticmediuminΩ={(x,y,z):z>0},weconsidertheinverseproblemofdeterminingthedensityfunctionρ(x,y).Theinversioninputforourinverseproblemisthewavefieldgivenonaline.Wegetanintegralequationforthe2-Ddensityperturbationfromthelinearization.Byvirtueoftheintegraltransform,weprovetheuniquenessandtheinstabilityofthesolutiontotheintegralequation.Thedegreeofill-posednessforthisproblemisalsogiven.