Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically

Author:

Sergeyev Yaroslav D.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference48 articles.

1. Single Variable Calculus;Adams,2003

2. Numerosities of labeled sets: a new way of counting;Benci;Advances in Mathematics,2003

3. Solving Differential Problems by Multistep Initial and Boundary Value Methods;Brugnano,1998

4. Numerical Methods for Ordinary Differential Equations;Butcher,2003

5. Contributions to the Founding of the Theory of Transfinite Numbers;Cantor,1955

Cited by 56 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. Quadratized Taylor series methods for ODE numerical integration;Applied Mathematics and Computation;2023-12

2. Hilbert’s First Problem and the New Progress of Infinity Theory;Journal of Applied Mathematics and Physics;2023

3. Observability in the Univalent Universe;Mediterranean Journal of Mathematics;2022-09-09

4. A Simulink-based software solution using the Infinity Computer methodology for higher order differentiation;Applied Mathematics and Computation;2021-11

5. Solving Mixed Pareto-Lexicographic Multiobjective Optimization Problems: The Case of Priority Levels;IEEE Transactions on Evolutionary Computation;2021-10

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