首页 | 本学科首页   官方微博 | 高级检索  
     


A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems
Authors:B. Cano   A. Durá  n.
Affiliation:Departamento de Matemática Aplicada y Computación, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain ; Departamento de Matemática Aplicada y Computación, Facultad de Ciencias. Universidad de Valladolid, Valladolid, Spain
Abstract:Some previous works show that symmetric fixed- and variable-stepsize linear multistep methods for second-order systems which do not have any parasitic root in their first characteristic polynomial give rise to a slow error growth with time when integrating reversible systems. In this paper, we give a technique to construct variable-stepsize symmetric methods from their fixed-stepsize counterparts, in such a way that the former have the same order as the latter. The order and symmetry of the integrators obtained is proved independently of the order of the underlying fixed-stepsize integrators. As this technique looks for efficiency, we concentrate on explicit linear multistep methods, which just make one function evaluation per step, and we offer some numerical comparisons with other one-step adaptive methods which also show a good long-term behaviour.

Keywords:Explicit linear multistep methods   variable stepsizes   error growth   reversible second-order systems   symmetric integrators   efficiency   high-order methods
点击此处可从《Mathematics of Computation》浏览原始摘要信息
点击此处可从《Mathematics of Computation》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号