\begin{thebibliography}{10} \bibitem{BaSc98b} E.~Barth and T.~Schlick. \newblock Extrapolation versus impulse in multiple-timestepping schemes. {II}. {L}inear analysis and applications to {N}ewtonian and {L}angevin dynamics. \newblock {\em J. Chem.\ Phys.}, 109(5):1633--1642, 1998. \bibitem{BiSk93} J.~J. Biesiadecki and R.~D. Skeel. \newblock Dangers of multiple-time-step methods. \newblock {\em J. Comput. Phys.}, 109(2):318--328, 1993. \bibitem{BiSS97} T.~Bishop, R.~D. Skeel, and K.~Schulten. \newblock Difficulties with multiple timestepping and the fast multipole algorithm in molecular dynamics. \newblock {\em J.\ Comp.\ Chem.}, 18(14):1785--1791, 1997. \bibitem{GaSS98b} B.~Garc{\'{\i}}a-Archilla, J.~M. Sanz-Serna, and R.~D. Skeel. \newblock Long-time-step methods for oscillatory differential equations. \newblock {\em SIAM J. Sci.\ Comput.}, 20(3):930--963, 1998. \bibitem{ADOL-C} A.~Griewank, D.~Juedes, and J.~Utke. \newblock {ADOL-C}, a package for the automatic differentiation of algorithms written in {C}/{C\texttt{++}}. \newblock {\em ACM Trans.\ Math.\ Softw.}, 22(2):131--167, 1996. \bibitem{Grub89} H.~Grubm{\"u}ller. \newblock \mbox{D}ynamiksimulation sehr gro\ss er \mbox{Makromolek\"ule} auf einem \mbox{Parallelrechner}. \newblock Master's thesis, \mbox{Physik-Dept. der Tech. Univ. M\"unchen}, Munich, 1989. \bibitem{GHWS91} H.~Grubm{\"u}ller, H.~Heller, A.~Windemuth, and K.~Schulten. \newblock Generalized \mbox{Verlet} algorithm for efficient molecular dynamics simulations with long-range interactions. \newblock {\em Molecular Simulation}, 6:121--142, 1991. \bibitem{IzRS99} J.~A. Izaguirre, S.~Reich, and R.~D. Skeel. \newblock Longer time steps for molecular dynamics. \newblock {\em J.\ Chem.\ Phys.}, 110(19):9853--9864, 1999. \bibitem{MaIz01} T.~Matthey and J.~A. Izaguirre. \newblock Proto{M}ol: A molecular dynamics framework with incremental parallelization. \newblock In {\em Proc. of the Tenth SIAM Conf. on Parallel Processing for Scientific Computing (PP01)}, Proceedings in Applied Mathematics, Philadelphia, Mar. 2001. Society for Industrial and Applied Mathematics. \newblock Manuscript available at \url{http://www.nd.edu/~izaguirr/papers/proto.pdf}. \bibitem{SaCa94} J.~M. San{z-S}erna and M.~P. Calvo. \newblock {\em Numerical {H}amiltonian Problems}. \newblock Chapman and Hall, London, 1994. \bibitem{SkIz98} R.~D. Skeel and J.~A. Izaguirre. \newblock The five femtosecond time step barrier. \newblock In P.~Deuflhard, J.~Hermans, B.~Leimkuhler, A.~Mark, S.~Reich, and R.~D. Skeel, editors, {\em Computational Molecular Dynamics: Challenges, Methods, Ideas}, volume~4 of {\em Lecture Notes in Computational Science and Engineering}, pages 303--318. Springer-Verlag, Berlin Heidelberg New York, Nov. 1998. \bibitem{TuBM92} M.~Tuckerman, B.~J. Berne, and G.~J. Martyna. \newblock Reversible multiple time scale molecular dynamics. \newblock {\em J.\ Chem.\ Phys.}, 97(3):1990--2001, 1992. \end{thebibliography}