@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},
	}