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Explicit multi-step peer methods for special second-order differential equations

delete2008-08-01
delete6
PRE
AI
S
Stefan Jebens *
R
Rüdiger Weiner
H
Helmut Podhaisky
B
Bernhard A. Schmitt
DOI:10.1016/j.amc.2008.03.025delete
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摘要

摘要

En 中文
The construction of s-stage explicit two-and three-step peer methods of order p = 2s and p = 3s is considered for the solution of non-stiff second-order initial value problems where the right-hand side does not depend on y '. By numerical search with respect to large stability intervals and small error constants sequential and parallel methods are constructed. Numerical tests of these peer methods in MATLAB and comparisons with a Runge-Kutta-Nystrom method show the efficiency of the proposed methods. (C) 2008 Elsevier Inc. All rights reserved.
Keyword:
explicit peer methods
non-stiff second-order ODE systems
parallel methods for ODEs
Runge-Kutta-Nystrom methods

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

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Martin Luther University Halle Wittenberg
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leibniz institut fur tropospharenforschung (tropos)
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Leibniz Association
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