Abstract
In this paper we study the symmetry of Runge-Kutta methods with higher derivatives. We find conditions which provide this property for the above numerical methods. We prove that the family of E-methods constructed earlier consists of symmetric methods only, which lead to the quadratic extrapolation technique in practice. © Springer-Verlag Berlin Heidelberg 2006.
Cite
CITATION STYLE
Kulikov, G. Y., Khrustaleva, E. Y., & Merkulov, A. I. (2006). Symmetric runge-kutta methods with higher derivatives and quadratic extrapolation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3991 LNCS-I, pp. 117–123). Springer Verlag. https://doi.org/10.1007/11758501_20
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