DENSE OUTPUT FOR EXTRAPOLATION METHODS

This paper is concerned with dense output formulas for extrapolation methods for ordinary differential equations. In particular, the extrapolated explicit Euler method, the GBS method (for non-stiff equations) and the extrapolated linearly implicit Euler method (for stiff and differential-algebraic equations) are considered. Existence and uniqueness questions for dense output formulas are discussed and an algorithmic description for their construction is given. Several numerical experiments illustrate the theoretical results. © 1990 Springer-Verlag.