arrow
返回

On global error estimation and control for initial value problems

delete2007-01-01
delete22
delete
OA
AI
J
Jens Lang *
J
J.G. Verwer
DOI:10.1137/050646950delete
delete原文链接
delete分享
delete收藏
查看原文
摘要

摘要

En 中文
This paper addresses global error estimation and control for initial value problems for ordinary differential equations. The focus lies on a comparison between a novel approach based on the adjoint method combined with a small sample statistical initialization and the classical approach based on the first variational equation. Control is achieved through tolerance proportionality. Both approaches are found to work well and to enable estimation and control in a reliable manner.
Keyword:
numerical integration for ODEs
global error estimation
global error control
defects and local errors
tolerance proportionality
adjoint method
small sample statistical initialization
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

机构

暂无机构信息
引用论文

引用论文

err分享
err收藏
err分享
err收藏
err分享
err收藏
Electronic structure and magnetic properties of Laves phase LuFe2
err2007-05-01
err0
PREAI
errChangwen Zhang; Zhong Zhang; Shaoqing Wang; Hua Li; Jianmin Dong; Naisheng Xing; Yongquan Guo; Wei Li
err分享
err收藏
err
IF0
err
err0
PREAI
err
err分享
err收藏
err分享
err收藏
学者 查看更多内容