Título
Formulation and Analysis of a Class of Direct Implicit Integration Methods for Special Second-Order I.V.P.s in Predictor-Corrector Modes.
Autor(es)
Palabras clave
Error analysis; Stability analysis; Falkner implicit methods; Direct integration methods; Second-order initial-value problems; Predictor-corrector modes
Clasificación UNESCO
Fecha de publicación
2019
Editor
Springer
Citación
Ramos, H. (2019). Formulation and Analysis of a Class of Direct Implicit Integration Methods for Special Second-Order I.V.P.s in Predictor-Corrector Modes. In: García Guirao, J., Murillo Hernández, J., Periago Esparza, F. (eds) Recent Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-00341-8_3
Resumen
[EN]A detailed analysis of different formulations of a class of explicit direct integration methods in predictor-corrector modes for solving special second-order initial-value problems has been carried out (Comput. Phys. Comm. 181 (2010) 1833–1841), showing that the adequate combination of the involved formulas led to an increase in the order of the method. In this paper we consider different formulations of the implicit direct integration methods in predictor-corrector modes. An analysis of the accumulated truncation errors is made and the stability analysis is addressed, including the intervals of stability. Some numerical examples are presented to show the performance of the different formulations. These methods may constitute a reliable alternative to other methods in the literature for solving special second order problems.
URI
ISSN
2199-3041
DOI
10.1007/978-3-030-00341-8_3
Versión del editor
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