单纯形上校正高斯-勒让德求积公式.pdf

7 2012，48(35) CD疗妒￡f幼D曙加Pgrf，喀口胛d铆，fc口ffo胛s计算机工程与应用 单纯形上校正高斯．勒让德求积公式 潘克家1’2一，汤井田1 PAN Kejiah2’3，TANGJingtianl 1冲南大学有色金属成矿预测教育部重点实验室，地球科学与信息物理学院，长沙410083 2．中南大学数学与统计学院，长沙410083 3．高性能计算与随机信息处理教育部重点实验室，长沙410081 Labof PredictionofNonferrous ofGeosciencesandInfo— 1．Key Metallogenic Metals，Minist巧ofEducation，School South 410083，China Physics，CentralUniVersi吼Changsha 2．SchoolofMatllematicsand South Statistics，CentralUniVersity，Changsha410083，China 3．HPCSIP of 4l008 1，China KeyLaborato吼Minis仃yEduc撕on，Changsha PAN formulasoVer Kejia，TANGJingtian．CorrectedGauss—Legendrequadrature Engi- and neeringApplications，2012，48(35)：7-10． onme tenn correction Abstract：Basedremainderof Gauss-Legendrequac№emle，mecorrespondingquadramre increasethe at1east mecoordinate Mo—order，are fonnulas，whichalgebraicaccllracy proposed．Using an oVer to the oVert11e a11dte仃ahedralinto me a工1d correction equiValent cube，me chaIlgeintegral triangle inlegml square of is tocalculatethe oVeramulti—dimensional fbmulaGaussian mleeXtended quadrature multipleintegral simplex． withHammer formulaeoVertwo—dimensionalelementsand Compared quadrature triangular tetr，Lhedral is thatme fomulaisof shown corrected to elements，it