Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...

This example illustrates some properties of splines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with ...

Conservation laws serve as a cornerstone in modelling the evolution of physical quantities such as mass, momentum and energy. Recent advances have placed a particular emphasis on systems where the ...

The Discontinuous family of functions is quickly integrated analytically, to high precision. In its two-dimensional form, as shown in the plot above, the function rises up into a peak near the centre, ...