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[1]X.T.Xiong,L.Zhao,Y.C.Hon,StabilityestimateandthemodifiedregularizationmethodforaCauchyproblemofthefractionaldiffusionequation,JournalofComputationalandAppliedMathematics272(2014)180–194.
[2]X.T.Xiong,X.Y.Fan,M.Li,Spectralmethodforill-posedproblemsbasedonthebalancingprinciple,toappearinInverseProblemsinScienceandEngineering.
[3]X.T.Xiong,M.LiandM.Q.Wang,Aone-stagemeshlessmethodfornonhomogeneousCauchyproblemsofellipticpartialdifferentialequationswithvariablecoefficients,JournalofEngineeringMathematics,80(2013),189-200.
[4]X.T.Xiong,X.C.ZhaoandJ.X.Wang,SpectralGalerkinmethodanditsapplicationtoaCauchyproblemofHelmholtzequation,NumericalAlgorithms,63(2013)691-711.
[5]X.T.XiongandY.C.Hon,Regularizationerroranalysisonaone-dimensionalinverseheatconductionprobleminmulti-layerdomain,InverseProblemsinScience&Engineering,21(2013)865-887
[6]X.T.Xiong,J.X.Wang,ATikhonov-typemethodforsolvingamultidimensionalinverseheatsourceprobleminanunboundeddomain,JournalofComputationalandAppliedMathematics236(2012)1766-1774.
[7]X.T.Xiong,Q.ZhouandY.C.Hon,Aninverseproblemforfractionaldiffusionequationin2-dimensionalcase:Stabilityanalysisandregularization,JournalofMathematicalAnalysisandApplications393(2012)185-199.
[8]X.T.Xiong,H.GuoandX.Liu,Aninverseproblemforafractionaldiffusionequation,JournalofComputationalandAppliedMathematics236(2012)4474-4484.
[9]X.T.Xiong,J.X.WangandM.Li,Anoptimalmethodforfractionalheatconductionproblembackwardintime,ApplicableAnalysis,91(2012),No.4,823-840.
[10]X.T.Xiong,W.X.ShiandX.Y.Fan,TwonumericalmethodsforaCauchyproblemformodifiedHelmholtzequation,AppliedMathematicalModelling,35(2011)4951-4964.
[11]X.T.Xiong,L.Q.ZhuandM.Li,Regularizationmethodsforaproblemofanalyticcontinuation,MathematicsandComputersinSimulation,82(2011)332-345.
[12]X.T.Xiong,Y.M.YanandJ.X.Wang,Adirectnumericalmethodforsolvinginverseheatsourceproblems,JournalofPhysics:ConferenceSeries290(2011)012017.
[13]X.T.Xiong,Onaradiallysymmetricinverseheatconductionproblem,Appl.Math.Modelling,34(2010),520-529.
[14]X.T.Xiong,AregularizationmethodforaCauchyproblemofHelmholtzequation,J.Comput.Appl.Math.,233(2010),1723-1732.
[15]X.T.Xiongetal,Anumericalmethodforidentifyingheattransfercoefficient,Appl.Math.Modelling,34(2010),1930-1938.
[16]X.T.Xiong,C.L.Fu,J.Cheng,Threespectralmethodsforsolvingasidewaysparabolicequationwithintheframeworkofregularizationtheory,MathematicsandComputersinSimulation,79(2009),1668-1678.
[17]X.T.Xiong,C.L.Fu,Aspectralregularizationmehtodforsolvingsurfaceheatfluxonageneralsidewaysparabolicequation,Appl.Math.Comput.,197(2008),358-365.
[18]X.T.Xiong,C.L.Fu,Determiningsurfacetemperatureandheatfluxbyawaveletdualleastsquaresmethod,JournalofComputationalandAppliedMathematics,201(2007),198-207.
[19]X.T.Xiong,C.L.Fu,Errorestimatesonabackwardheatequationbyawaveletdualleastsquaresmethod,InternationalJournalofWavelets,MultiresolutionandInformationProcessing,5(3)(2007),389-398.
[20]X.T.Xiong,C.L.Fu,Z.Qian,Onthreespectralregularizationmethodsforabackwardheatconductionproblem,JournaloftheKoreanMathematicalSociety,44(2007),1281-1290.
[21]X.T.Xiong,C.L.Fu,TwoapproximatemethodsofaCauchyproblemfortheHelmholtzequation,ComputationalandAppliedMathematics,26(2007),.285-307.
[22]X.T.Xiong,C.L.FuandH.F.Li,Centraldifferencemethodofanon-standardinverseheatconductionproblemfordeterminingsurfaceheatfluxfrominteriorobservations,Appl.Math.Comput.,173(2006),1265-1287.
[23]X.T.Xiong,C.L.FuandH.F.Li,Fourierregularizationmethodofasidewaysheatequationfordeterminingsurfaceheatflux,J.Math.Anal.Appl.,317(2006),331-348.
[24]X.T.Xiong,C.L.Fu,CentraldifferenceregularizationmethodfortheCauchyproblemoftheLaplace’sequation,AppliedMathematicsandComputation,181(2006),675-684.
[25]X.T.Xiong,C.L.FuandZQian,Twonumericalmethodsforsolvingabackwardheatconductionproblem,AppliedMathematicsandComputation,179(2006),370-377.
[26]X.T.Xiong,C.L.Fu,Z.QianandG.Xiang,Errorestimatesofadifferenceapproximationmethodforabackwardheatconductionproblem,InternationalJournalofMathematicsandMathematicalSciences,Volume2006,ArticleID45489,1-9.
[27]X.T.Xiong,C.L.FuandH.F.Li,Centraldifferenceschemesintimeanderrorestimateonanon-standardinverseheatconductionproblem,Appl.Math.Comput.,157(2004),77-91.
[28]C.L.Fu,X.T.XiongandZ.Qian,Fourierregularizationmethodforabackwardheatconductionproblem,J.Math.Anal.Appl.,331(2007),472-480.
[29]C.L.Fu,H.F.Li,X.T.Xiong,IteratedTikhonovRegularizationforIll-PosedProblems,ChineseJ.Numer.Math.andAppl.,28(4)(2006),1-10.
[39]C.L.Fu,X.T.Xiong,H.F.LiandY.B.Zhu,Waveletandspectralregularizationmethodsforasidewaysparabolicequation,Appl.Math.Comput.,160(2005),881-908.
[31]C.L.Fu,X.T.Xiong,H.F.Li,Fourierregularizationfordeterminingsurfaceheatfluxfrominteriorobservationbasedonasidewaysparabolicequation,NumericalMathematicsAJournalofChineseUniversities(EnglishSeries),14(3,(2005),16-24.
[32]C.L.Fu,X.T.XiongandP.Fu,Fourierregularizationmethodforsolvingthesurfaceheatfluxfrominteriorobservations,Math.Comput.Model.,42(2005),489-498.
[33]C.L.Fu,X.T.XiongandH.F.Li,AFourierregularizationmethodwithHolderstabilityforasidewaysparabolicequation,J.LanzhouUniv.,40(2)(2004),5-7.
[34]Z.Qian,C.L.FuandX.T.Xiong,AmodifiedmethodfordeterminingsurfaceheatfluxofIHCP,InverseProblemsinScience,15(2007),249-265.
[35]Z.Qian,C.L.FuandX.T.Xiong,AmodifiedmethodfordeterminingsurfaceheatfluxofIHCP,InverseProblemsinScience,15(2007),249-265.
[36]M.Li,X.T.Xiong,Y.J.Wang,AnumericalevaluationandregularizationofCaputofractionalderivatives,JournalofPhysics:ConferenceSeries290(2011)012011.
[37]M.Li,X.X.Xi,X.T.Xiong,Regularizationforafractionalsidewaysheatequation.J.Comput.Appl.Math.255(2014),28–43.
[38]M.Li,X.T.Xiong,Y.Li,Methodoffundamentalsolutionforaninverseheatconductionproblemwithvariablecoefficients.Int.J.Comput.Methods10(2013),no.2,1341009,12pp.
[39]Q.Zhi,Y.C.Hon,X.T.Xiong,Numericalsolutionoftwo-dimensionalradiallysymmetricinverseheatconductionproblem,toappearinJournalofInverseandIll-PosedProblems(JIIP)
[40]石万霞,熊向团,多层介质中逆热传导问题的傅里叶正则化方法,应用数学与计算数学学报,2012年9月26卷第3期348-354.