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

We consider a kind of differential equations d/dt y(t) = R(y(t))y(t) +f(y(t)) with energy conservation. Such conservative models appear for instancein quantum physics, engineering and molecular dynamics. A new class ofenergy-preserving schemes is constructed by the ideas of scalar auxiliaryvariable (SAV) and splitting, from which the nonlinearly implicit schemes havebeen improved to be linearly implicit. The energy conservation and errorestimates are rigorously derived. Based on these results, it is shown that thenew proposed schemes have unconditionally energy stability and can beimplemented with a cost of solving a linearly implicit system. Numericalexperiments are done to confirm these good features of the new schemes.

A novel class of linearly implicit energy-preserving schemes for conservative systems