JUCS - Journal of Universal Computer Science 4(2): 90-98, doi: 10.3217/jucs-004-02-0090
Global Error Visualization
expand article infoR. Aïd, L. Testard, G. Villard
‡ LMC/IMAG, France
Open Access
Abstract
A classical error estimation technique is used together with an interactive visualization software to validate numerical solutions of ordinary differential equations in the complex field. Examples showing how a modification of the integration path can help to reduce the absolute value of the global error committed by the integration process are provided.
Keywords
Ordinary Differential Equations, numerical methods, Richardson extrapolation, computer arithmetic, visualization.