New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction

Published:2022-11 Issue: Volume:401 Page:115553
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Mahnken Rolf

Funder

Deutsche Forschungsgemeinschaft

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference46 articles.

1. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis;Hughes,1987

2. Computational Inelasticity, Vol. 7;Simo,2006

3. Numerical Methods for Ordinary Differential Systems. The Initial Value Problem;Lambert,1991

4. Solving Ordinary Differential Equations I: Nonstiff Problems;Ernst Hairer,1993

5. Numerical Methods for Ordinary Differential Equations;Butcher,2008

Cited by 5 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. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods;Computational Mechanics;2024-02-05

2. On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems;Computer Methods in Applied Mechanics and Engineering;2024-01

3. Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites;PAMM;2023-11-20

4. Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method;PAMM;2023-09

5. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation;Computational Mechanics;2023-06-17

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