*Author for correspondence. Short Communication

This paper presents a Gauss Legendre quadrature method for numerical integration over the standard triangular surface: {(x, y) | 0, 1, 1}x y x y £ £ + £ in the Cartesian two-dimensional (x, y) space. Mathematical transforma-tion from (x, y) space to (x, h) space map the standard triangle in (x, y) space to a standard 2-square in (x, h) space: {(x, h)|–1 £ x, h £ 1}. This overcomes the difficulties associated with the derivation of new weight coeffi-cients and sampling points and yields results which are accurate and reliable. Results obtained with new formulae are compared with the existing formulae