@Article{Krogh:2009:SSO, author = "Fred Krogh", title = "Stepsize Selection for Ordinary Differential Equations", journal = "{ACM} Transactions on Mathematical Software", accepted = "11 September 2009", upcoming = "true", abstract = " This note offers a new approach based on a least squares fit to past data to selecting the stepsize when solving an ordinary differential equation. The approach used may have applicability to other situations where one wants to repeatedly make short term predictions given somewhat noisy data. Additional ad hoc rules help significantly for reliability and efficiency.", }