# Experiments with Schemes for Exponential Decay

**Hans Petter Langtangen** [1, 2] (`hpl at simula.no`)

[1] **Center for Biomedical Computing, Simula Research Laboratory**
[2] **Department of Informatics, University of Oslo.**

#### Jul 2, 2016

**Summary.** This report investigates the accuracy of three finite difference
schemes for the ordinary differential equation \( u'=-au \) with the
aid of numerical experiments. Numerical artifacts are in particular
demonstrated.