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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Variable-stepsize variable-formula methods (VSVFMs) are often used in the numerical integration of systems of ordinary differential equations. In this way, roughly speaking, one attempts to minimize the number of steps, Le., to select the largest possible stepsize according to a prescribed error tolerance. Very often, however, the selectmn of the stepsize depends not so much on the accuracy requirements but rather on the absolute stabdlty properties of the formulas included in the particular VSVFM. Therefore, at least for problems where the absolute stability requirements dominate the accuracy requirements, it Is unportant to use only formulas with the best possible absolute stability characteristics in the VSVFM. Moreover, it is important to find an algorithm which predicts the largest possible stepslzes so that the next steps will be successful (the local truncation error estimator is enurely unable to do this when the absolute stability requirements are dominant). An attempt to use formulas with large absolute stability regions and to apply a strategy which normally will ensure stable computations is discussed.

Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods