New Quadrature Formula For Multiple Numerical Integration

Abstract: This paper presents a new kind of quadrature formulas and error estimates for numerical integration of functions in Esa (c) over the unit cube in s dimensions.The error analysis shows that the quadrature points adopted by this quadrature formula are better than the body-centred cubic rule in" Sloan lattice rule ".The numerical experiments demonstrates that this formula leads to a higher accuracy with fewer quadrature points comparing with the number-theoretic method by Kopo6oB and BaxBajioB.lt is also pointed out that in a certain condition,an order higher than the ideal one reached by the number-theoretic method can be obtained using this formula.