Calculation of Gauss quadrature rules
Calculation of Gauss quadrature rules
The application of the fluctuation expansion with extended basis set to numerical integration
WSEAS Transactions on Mathematics
Fluctuationlessness theorem to approximate univariate functions' matrix representations
WSEAS Transactions on Mathematics
Extended lagrange interpolation and nonclassical Gauss quadrature formulae
Mathematical and Computer Modelling: An International Journal
Hi-index | 0.00 |
Recently developed Fluctuation Free Integration is based on the approximation of the function matrix representations by the images of the independent variable matrix representation under the relevant functions by using the same basis function set for both function and the independent variable. This works well as long as the integrand is a sufficiently smooth function which is analytic in a disk taking the integration domain as an interior region in the complex plane of the integration variable. This method's efficiency sensitively depends on the basis functions used in the matrix representation and therefore their behaviors throughout the integration domain. In this work we deal with the infinite interval applications by using Gaussian type basis set and aim to increase the numerical efficiency.