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 investigate high-order Convolution Quadratures methods for the solution ofthe wave equation in unbounded domains in two dimensions that rely on Nystr\"omdiscretizations for the solution of the ensemble of associated Laplace domainmodified Helmholtz problems. We consider two classes of CQ discretizations, onebased on linear multistep methods and the other based on Runge-Kutta methods,in conjunction with Nystr\"om discretizations based on Alpert and QBXquadratures of Boundary Integral Equation (BIE) formulations of the Laplacedomain Helmholtz problems with complex wavenumbers. We present a variety ofaccuracy tests that showcase the high-order in time convergence (up to andincluding fifth order) that the Nystr\"om CQ discretizations are capable ofdelivering for a variety of two dimensional scatterers and types of boundaryconditions.

High-Order Nystr\"om/Convolution-Quadrature Solution of Time-Domain  Scattering from Closed and Open Lipschitz Boundaries with Dirichlet and  Neumann Boundary Conditions