Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots
MetadataShow full item record
There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity m. In a previous paper we have compared 5 such methods, two of which require the evaluation of the (m - 1)th root. We have used the basin of attraction idea to recommend the best optimal fourth order method. Here we suggest to improve on the best of those five, namely Zhou-Chen-Song method by showing how to choose the best weight function.
The article of record as published may be found at http://dx.doi.org/10.1016/j.matcom.2014.08.005
Showing items related by title, author, creator and subject.
Arnason, G.; Haltiner, G.J.; Frawley, M.J. (1962-05);Two iterative methods are described for obtaining horizontal winds from the pressure-height field by means of higher-order geostrophic approximations for the purpose of improving upon the geostrophic wind. The convergence ...
Exponential leap-forward gradient scheme for determining the isothermal layer depth from profile data Chu, P.C.; Fan, C.W. (Springer, 2017);Two distinct layers usually exist in the upper ocean. The rst has a near-zero vertical gradient in temperature (or density) from the surface and is called the iso-thermal layer (or mixed layer). Beneath that is a layer ...
Kelly, J.F.; Giraldo, Francis X.; Constantinescu, E.M. (2013);We derive an implicit-explicit (IMEX) formalism for the three-dimensional Euler equations that allow a unified representation of various nonhydrostatic flow regimes, including cloud-resolving and mesoscale (flow in a 3D ...