A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2000-09-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/zjup/1008-9497.2000.27.5.473-476 |
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author | LIANGKe-wei(梁克维) JINZhong-qiu(金中秋) LIDa-ming(李大明) |
author_facet | LIANGKe-wei(梁克维) JINZhong-qiu(金中秋) LIDa-ming(李大明) |
author_sort | LIANGKe-wei(梁克维) |
collection | DOAJ |
description | 本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数. |
first_indexed | 2024-04-24T17:04:58Z |
format | Article |
id | doaj.art-b15b6b0d9d37417199641adeede95616 |
institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T17:04:58Z |
publishDate | 2000-09-01 |
publisher | Zhejiang University Press |
record_format | Article |
series | Zhejiang Daxue xuebao. Lixue ban |
spelling | doaj.art-b15b6b0d9d37417199641adeede956162024-03-29T01:58:16ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972000-09-01275473476zjup/1008-9497.2000.27.5.473-476A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)LIANGKe-wei(梁克维)0JINZhong-qiu(金中秋)1LIDa-ming(李大明)2Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系,浙江 杭州 310028)Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系,浙江 杭州 310028)Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系,浙江 杭州 310028)本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.https://doi.org/zjup/1008-9497.2000.27.5.473-476奇异摄动两点边界值问题差分格式加密网格green函数 |
spellingShingle | LIANGKe-wei(梁克维) JINZhong-qiu(金中秋) LIDa-ming(李大明) A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度) Zhejiang Daxue xuebao. Lixue ban 奇异摄动两点边界值问题 差分格式 加密网格 green函数 |
title | A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度) |
title_full | A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度) |
title_fullStr | A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度) |
title_full_unstemmed | A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度) |
title_short | A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度) |
title_sort | finite difference scheme uniform in ε for singularly perturbed problems 关于ε一致的奇异摄动问题的差分格式及其收敛速度 |
topic | 奇异摄动两点边界值问题 差分格式 加密网格 green函数 |
url | https://doi.org/zjup/1008-9497.2000.27.5.473-476 |
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