C Edwards and M Fagan (2003)
Verifying ODE solvers using Automatic Differentiation
Rice University, Department of Computational and Applied Mathematics, 6100 Main Street, Houston, TX 77005.
This report describes our effort to verify differential equation solvers using automatic differentiation (AD). In particular, the report describes the AD verification technique in general, as well as the application of the technique to a 4th order Runge-Kutta solver using the ADOL-C tool.