On the susceptibility of numerical methods to computational chaos and superstability
Author:
Funder
FNRS
Publisher
Elsevier BV
Subject
Applied Mathematics,Modeling and Simulation,Numerical Analysis
Reference33 articles.
1. A unified approach to spurious solutions introduced by time discretisation. Part I: basic theory;Iserles;SIAM J Numer Anal,1991
2. Unified approach to spurious solutions introduced by time discretization. Part II: BDF-like methods;Iserles;IMA J Numer Anal,1992
3. On spurious asymptotic numerical solutions of explicit Runge–Kutta methods;Griffiths;IMA J Numer Anal,1992
4. On spurious fixed points of Runge–Kutta methods;Vadillo;J Comput Phys,1997
5. Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics;Yee;J Comput Phys,1991
Cited by 13 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. Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems With Coulomb Friction;Journal of Computational and Nonlinear Dynamics;2023-04-19
2. Trigonometric polynomials methods to simulate oscillating chaotic systems;INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020;2022
3. On the FPGA implementation of chaotic oscillators based on memristive circuits;Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications;2021
4. Enhanced hardware implementation of a mixed-order nonlinear chaotic system and speech encryption application;AEU - International Journal of Electronics and Communications;2020-10
5. Integer and Fractional-Order Chaotic Circuits and Systems;Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications;2019-11-12
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