Conservation laws with discontinuous flux functions govern a wide range of phenomena from fluid flow in heterogeneous porous media to traffic dynamics on road networks. These laws take the form ∂ₜu + ...

👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities ...

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A ...

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 ...

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, ...