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Adapted explicit two-step peer methods

delete2019-06-26
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PRE
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D
Dajana Conte
R
Raffaele D’Ambrosio *
M
Martina Moccaldi
B
Beatrice Paternoster
DOI:10.1515/jnma-2017-0102delete
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Abstract

Abstract

En 中文
In this paper, we present a general class of exponentially fitted two-step peer methods for the numerical integration of ordinary differential equations. The numerical scheme is constructed in order to exploit a-priori known information about the qualitative behaviour of the solution by adapting peer methods already known in literature. Examples of methods with 2 and 3 stages are provided. The effectiveness of this problem-oriented approach is shown through some numerical tests on well-known problems.
Keywords:
peer methods
exponential fitting
ordinary differential equations
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Journal

Journal of Numerical Mathematics cover
Journal of Numerical Mathematics
IF:
4
Papers:
308
Citations:
659

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U
University of Salerno
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University of LAquila cover
University of LAquila
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