@misc{HolderLeimkuhlerReich, author = {Holder, Thomas and Leimkuhler, Benedict and Reich, Sebastian}, title = {Explicit Variable Step-Size and Time-Reversible Integration}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3607}, number = {SC-98-17}, abstract = {A variable step-size, semi-explicit variant of the explicit St{\"o}rmer-Verlet method has been proposed for the time-reversible integration of Newton's equations of motion by Huang \& Leimkuhler. Here we propose a fully explicit version of this approach applicable to explicit and symmetric integration methods for general time-reversible differential equations. As applications, we discuss the variable step-size, time-reversible, and fully explicit integration of rigid body motion and reversible Nos\'e-Hoover dynamics.}, language = {en} }