Two step hybrid methods of 7th and 8th order for the numerical integration of second order IVPs

作     者：Z. Kalogiratou Th. Monovasilis T. E. Simos 

作者机构：*Department of Informatics Engineering Technological Educational Institution of Western Macedonia at Kastoria Kastoria P.O. Box. 30 52100 Greece †Department of International Trade Technological Educational Institution of Western Macedonia at Kastoria Kastoria P.O. Box. 30 52100 Greece **Department of Computer Science and Technology Faculty of Science and Technology Univesity of Peloponnessos Greece Email address tsimos@mail.ariadne-t.gr. Active member of the European Academy of Sciences and Arts 

出 版 物：《AIP Conference Proceedings》 

年 卷 期：2016年第1738卷第1期

学科分类：07[理学] 0702[理学-物理学] 

摘      要：In this work we consider the numerical integration of second order ODEs where the first derivative is missing. We construct two step hybrid methods with six and seven stages and seventh and eighth algebraic order. We apply the new methods on the numerical integration of several test problems.