Geometric integration using discrete gradients
Author:
Affiliation:
1. Mathematics Department, Massey University, Palmerston North, New Zealand
2. Faculty of Science, LaTrobe University, Bundoora, Melbourne 3083, Australia
Publisher
The Royal Society
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Link
https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.1999.0363
Reference35 articles.
1. Abraham R. & Marsden J. E. 1978 Foundations of mechanics 2nd edn. Reading MA: Benjamin/Cummings.
2. Abraham R. Marsden J. E. & Ratiu T. 1988 Manifolds tensor analysis and applications 2nd edn. New York: Springer.
3. Product formulas and numerical algorithms
4. Stability of Runge-Kutta Methods for Trajectory Problems
5. Darling R. W. R. 1994 Differential forms and connections Cambridge University Press.
Cited by 357 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-preserving schemes for conservative PDEs based on periodic quasi-interpolation methods;Communications in Nonlinear Science and Numerical Simulation;2024-04
2. A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption;Journal of Computational and Applied Mathematics;2024-03
3. Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons;Journal of Computational Physics;2024-02
4. Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems;BIT Numerical Mathematics;2024-01-31
5. Discrete gradients in short-range molecular dynamics simulations;Numerical Algorithms;2024-01-06
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