Studies in Numerical Nonlinear Instability I. Why do Leapfrog Schemes Go Unstable?
Author:
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Link
http://epubs.siam.org/doi/pdf/10.1137/0906062
Reference27 articles.
1. Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow. Part I
2. Mathematical Methods of Classical Mechanics
3. V. Arnold, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, “Mir”, Moscow, 1980, 324–83a:340030956.34501
4. On the instability of leap-frog and Crank-Nicolson approximations of a nonlinear partial differential equation
Cited by 34 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. Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2d Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics;SSRN Electronic Journal;2022
2. Stabilized leapfrog scheme run backward in time, and the explicit O(Δ t)2 stepwise computation of ill-posed time-reversed 2D Navier–Stokes equations;Inverse Problems in Science and Engineering;2021-09-11
3. Continuous-Stage Leap-Frog Schemes for Semilinear Hamiltonian Wave Equations;Geometric Integrators for Differential Equations with Highly Oscillatory Solutions;2021
4. A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations;Numerical Mathematics: Theory, Methods and Applications;2020-06
5. Recent developments in IMEX methods with time filters for systems of evolution equations;Journal of Computational and Applied Mathematics;2016-06
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