Rigorous Reachability Analysis and Domain Decomposition of Taylor Models

Author:

Berz Martin,Makino Kyoko

Publisher

Springer International Publishing

Reference27 articles.

1. Makino, K.: Rigorous analysis of nonlinear motion in particle accelerators. Ph.D. thesis, Michigan State University, East Lansing, Michigan, USA (1998). Also MSUCL-1093

2. Lecture Notes in Computer Science;K Mackino,2017

3. Makino, K., Berz, M.: Suppression of the wrapping effect by Taylor model-based verified integrators: the single step. Int. J. Pure Appl. Math. 36(2), 175–197 (2006)

4. Lohner, R.J.: On the ubiquity of the wrapping effect in the computation of error bounds. In: Kulisch, U., Lohner, R., Facius, A. (eds.) Perspectives on Enclosure Methods, pp. 201–217. Springer, Heidelberg (2001). doi: 10.1007/978-3-7091-6282-8_12

5. Stewart, N.F.: A heuristic to reduce the wrapping effect in the numerical solution of ODEs. BIT 11, 328–337 (1971)

Cited by 7 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. Data-Driven Reachability Analysis From Noisy Data;IEEE Transactions on Automatic Control;2023-05

2. Robust data-driven predictive control using reachability analysis;European Journal of Control;2022-11

3. Enhancing Data-Driven Reachability Analysis using Temporal Logic Side Information;2022 International Conference on Robotics and Automation (ICRA);2022-05-23

4. Rigorous numerics for ODEs using Chebyshev series and domain decomposition;Journal of Computational Dynamics;2021

5. Adaptive Interpolation Algorithm Based on a kd-Tree for the Problems of Chemical Kinetics with Interval Parameters;Mathematical Models and Computer Simulations;2019-07

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