English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In [Baeza et al., Computers and Fluids, 159, 156--166 (2017)] a new methodfor the numerical solution of ODEs is presented.  This methods can be regarded as an approximate formulation of the Taylormethods and it follows an approach that has a much easier implementation thanthe original Taylor methods, since only the functions in the ODEs, and nottheir high order derivatives, are needed. In this reference, the absolutestability region of the new methods is conjectured to be coincident with thatof their exact counterparts. There is also a conjecture about theirrelationship with Runge-Kutta methods. In this work we answer positively bothconjectures.

On the stability of Approximate Taylor methods for ODE and their relationship with Runge-Kutta schemes