Terminology

• Continuous function One that is everywhere differentiable. Also in Wikipedia.

• Stencil: node arrangement used to pass information through a numerical solution to a differential equation.

• Taylor Series: representation of a continuous function as the sum of an infinite series of terms. The terms are derivatives of the function at a point.

• Some math(s):

$\frac{\partial \phi}{\partial x}$

• This paper was/is fantastic:

• No, really it is