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Multistep collocation methods for Volterra integro-differential equations

delete2013-09-01
delete36
PRE
AI
A
Angelamaria Cardone *
D
Dajana Conte
DOI:10.1016/j.amc.2013.07.012delete
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摘要

摘要

En 中文
Multistep collocation methods for Volterra integro-differential equations are derived and analyzed. They increase the order of convergence of classical one-step collocation methods, at the same computational cost. The numerical stability analysis is carried out and classes of A(0)-stable methods are provided. Numerical experiments confirm theoretical expectations and make comparisons with the one-step collocation methods. (C) 2013 Elsevier Inc. All rights reserved.
Keyword:
Volterra integro-differential equations
Multistep collocation
Superconvergence
Stability

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

U
University of Salerno
学者数:
1.2W
论文数: 1.1W
被引数: 1.2W
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