A general framework for conservative single-step time-integration schemes with higher-order accuracy for a central-force system

Author:

Graham E.,Jelenić G.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference37 articles.

1. Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I. Motion of a single particle;LaBudde;Numer. Math.,1976

2. Product formulas and numerical algorithms;Chorin;Comm. Pure Appl. Math.,1978

3. The discrete energy–momentum method. Conserving algorithms for non-linear elastodynamics;Simo;J. Appl. Math. Phys. (ZAMP),1992

4. Exact energy–momentum conserving algorithms and symplectic schemes for non-linear dynamics;Simo;Comput. Methods Appl. Mech. Engrg.,1992

5. J.C. Simo, O. Gonzalez, Assessment of energy–momentum and symplectic schemes for stiff dynamical systems. Papers––American Society of Mechanical Engineers––All Series, 93(4), 1993. Presented at the ASME Winter Annual Meeting, New Orleans, LA, November 28–December 3, 1993

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Energy-decaying and momentum-conserving schemes for transient simulations with mixed finite elements;Computer Methods in Applied Mechanics and Engineering;2021-03

2. Comparison of numerically dissipative schemes for structural dynamics: Generalized-alpha versus energy-decaying methods;Thin-Walled Structures;2020-12

3. Time-Stepping Algorithms in Nonlinear Resultant Shell Dynamics;Encyclopedia of Continuum Mechanics;2020

4. Computational Structural Dynamics;Encyclopedia of Computational Mechanics Second Edition;2017-12-17

5. Time-Stepping Algorithms in Nonlinear Resultant Shell Dynamics;Encyclopedia of Continuum Mechanics;2017-12-04

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3