Global Error Visualization

R. Aïd (LMC/IMAG, France)

L. Testard (LMC/IMAG, France)

G. Villard (LMC/IMAG, France)

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, Richardson extrapolation, computer arithmetic, numerical methods, visualization.