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

A method to calculate the adjoint solution for a large class of partialdifferential equations is discussed. It differs from the known continuous anddiscrete adjoint, including automatic differentiation. Thus, it represents analternative, third method. It is based on a modal representation of thelinearized operator of the governing (primal) system. To approximate theoperator an extended version of the Arnoldi factorization, the dynamicalArnoldi method (DAM) is introduced. The DAM allows to derive approximations foroperators of non-symmetric coupled equations, which are inaccessible by theclassical Arnoldi factorization. The approach is applied to the Burgersequation and to the Euler equations on periodic and non-periodic domains.Finally, it is tested on an optimization problem.

Mode-based derivation of adjoint equations - a lazy man's approach