@article{(Open Science Index):https://publications.waset.org/pdf/8341, title = {Local Error Control in the RK5GL3 Method}, author = {J.S.C. Prentice}, country = {}, institution = {}, abstract = {The RK5GL3 method is a numerical method for solving initial value problems in ordinary differential equations, and is based on a combination of a fifth-order Runge-Kutta method and 3-point Gauss-Legendre quadrature. In this paper we describe an effective local error control algorithm for RK5GL3, which uses local extrapolation with an eighth-order Runge-Kutta method in tandem with RK5GL3, and a Hermite interpolating polynomial for solution estimation at the Gauss-Legendre quadrature nodes.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {2}, number = {4}, year = {2008}, pages = {231 - 235}, ee = {https://publications.waset.org/pdf/8341}, url = {https://publications.waset.org/vol/16}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 16, 2008}, }