简介：FinitepartintegralsintroducedbyHadamardinconnectionwithhyperbolicpartialdifferentialequations,havebeenusefulinanumberofengineeringapplications.Inthispaperweinvestigatesomenumericalmethodsforcomputingfinite-partintegrals.

简介：Anewpartialpricingcolumnruleisproposedtothebasis-deficiency-allowingsimplexmethoddevelopedbyPan.ComputationalresultsobtainedwithasetofsmallproblemsandasetofstandardNETLIBproblemsshowitspromiseofsuccess.

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简介：Inthispaper,weintroduceaquadratureruleforthenumericalevaluationofcertainhypersingularintegrals.TheruleisobtainedbyusingHermiteinterpolationpolynomial.Errorboundisalsomade.

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简介：ForthenumericalevaluationofCauchyprincipalvalueintegralsoftheformf(x)(x-λ)-1dxwithλ∈(-1,1)andf∈C1[-1,1],weinvestigatethequadratureformulaQ(n+1)Spl1[·;λ]obtainedbyreplacingtheintegrandfunctionfbyitspiecewiselinearinterpolantatanequidistantsetofnodesasproposedbyRabinoivitz(Math.Comp.,51:741-747,1988).WegiveupperboundsforthePeano-typeerrorconstantsfors∈{1,2}.ThesearethebestpossibleconstantsininequalitiesofthetypeFurthermore,weprovethatourupperboundsareasymptoticallysharp.