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Licensed Unlicensed Requires Authentication Published by De Gruyter January 30, 2018

Adapted explicit two-step peer methods

  • Dajana Conte , Raffaele D’Ambrosio EMAIL logo , Martina Moccaldi and Beatrice Paternoster

Abstract

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.

JEL Classification: 65L05
  1. Funding: This work is supported by GNCS-INDAM.

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Received: 2017-08-16
Revised: 2018-01-13
Accepted: 2018-01-13
Published Online: 2018-01-30
Published in Print: 2019-06-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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