Nektar++ is an open-source software framework designed to support the development of
high-performance scalable solvers for partial differential equations using the spectral/hp …

Deep neural operators, such as DeepONet, have changed the paradigm in high-
dimensional nonlinear regression, paving the way for significant generalization and speed …

Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …

Deep neural operators, such as DeepONets, have changed the paradigm in high-
dimensional nonlinear regression from function regression to (differential) operator …

This paper presents a variational reconstruction for the high order finite volume method in
solving the two-dimensional Navier–Stokes equations on arbitrary unstructured grids. In the …

This work presents a review of high-order hybridisable discontinuous Galerkin (HDG)
methods in the context of compressible flows. Moreover, an original unified framework for …

In the last decade, there has been a lot of interest in developing high-order methods as a
viable option for unsteady scale-resolving-simulations which are increasingly important in …

The study focusses on the dispersion and diffusion characteristics of discontinuous spectral
element methods-specifically discontinuous Galerkin (DG)-via the spatial eigensolution …

This paper presents a high-order generalized differential quadrature method with lattice
Boltzmann flux solver (LBFS-GDQ) for simulating incompressible isothermal flows. In this …

SUMMARY We introduce SPECFEM2D-DG, an open-source, time-domain, hybrid Galerkin
software modelling the propagation of seismic and acoustic waves in coupled solid–fluid …