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Composition Methods for Dynamical Systems Separable into Three Parts

Author

Listed:
  • Fernando Casas

    (Institut de Matemàtiques i Aplicacions de Castelló (IMAC) and Departament de Matemàtiques, Universitat Jaume I, 12071-Castellón, Spain)

  • Alejandro Escorihuela-Tomàs

    (Institut de Matemàtiques i Aplicacions de Castelló (IMAC) and Departament de Matemàtiques, Universitat Jaume I, 12071-Castellón, Spain)

Abstract

New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into three parts in such a way that each part is explicitly solvable. The methods are obtained by applying different optimization criteria and preserve geometric properties of the continuous problem by construction. Different numerical examples exhibit their improved performance with respect to previous splitting methods in the literature.

Suggested Citation

  • Fernando Casas & Alejandro Escorihuela-Tomàs, 2020. "Composition Methods for Dynamical Systems Separable into Three Parts," Mathematics, MDPI, vol. 8(4), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:533-:d:341551
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    Cited by:

    1. Petr Fedoseev & Artur Karimov & Vincent Legat & Denis Butusov, 2022. "Preference and Stability Regions for Semi-Implicit Composition Schemes," Mathematics, MDPI, vol. 10(22), pages 1-13, November.

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