Order Stars and Stiff Integrators
E. Hairer and G. Wanner
Abstract.
Order stars, introduced in [WHN78], have become a fundamental tool
for the understanding of order and stability properties of
numerical methods for stiff differential equations.
This survey retraces their discovery and their
principal achievements. We also sketch some
later extensions as well as
recent developments and open problems.
Key Words.
Stiff differential equations, Order stars, A-stability.