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 study the numerical solution for Volerra integro-differential equationswith smooth and non-smooth kernels. We use a $h$-version discontinuous Galerkin(DG) method and derive nodal error bounds that are explicit in the parametersof interest. In the case of non-smooth kernel, it is justified that thestart-up singularities can be resolved at superconvergence rates by usingnon-uniformly graded meshes. Our theoretical results are numerically validatedin a sample of test problems.

A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels