In fact, a numerical scheme has to be convergent to be of any use.

The actual numerical scheme will depend upon problem geometry and mesh construction.

The stability of numerical schemes is closely associated with numerical error.

If the errors decay and eventually damp out, the numerical scheme is said to be stable.

If, on the contrary, the errors grow with time the numerical scheme is said to be unstable.

For more general elements, it is possible to design purely numerical schemes that adapt to the singularity, but at great computational cost.

For the eikonal equation, many numerical schemes are available.

So-called time-stepping integrators are dedicated numerical schemes for mechanical systems with many contacts.

The approximation operator represents the numerical scheme used.

This leads to an easily implemented numerical scheme for simulating a Weibull distribution.