The returned values are used at the selected numerical method.

The previous example can be solved with a numerical method.

Numerical methods also play an important role in model validation.

Exact solutions are not possible, and numerical methods must be used instead.

In addition, new experimental and numerical methods are being developed to provide physical insights.

There are many numerical methods to solve boundary value problems.

Let us experiment by using some simple numerical methods to integrate this system.

The resulting problems can be resolved using conventional numerical methods.

Sometimes it can best be solved by numerical methods, typically using computers.

The posterior will then have to be computed by numerical methods.