Procedures

Apply a differentiation stencil along a one dimensional pencil, then apply boundary conditions on both ends. Boundary conditions are applied as arrays of type stencil_type

Apply a differentiation stencil along a one dimensional pencil, assuming periodic boundaries. For instance, with a four point stencil $s = (-2, -1, 1, 2)$ and weights ${g_{i}}_{1 \leq i \leq 4}$

Write field data to ASCII file

Multiply a field_cpu_type instance by a real number.

Compare two field_type instance based on their data value

Returns domain size in $\mathbf{x}$ direction

Returns domain size in $\mathbf{y}$ direction

Returns domain size in $\mathbf{z}$ direction

Evaluates right hand side of heat equation on a field instance. $$F(T) = \Delta T = \frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2} + \frac{\partial^2 T}{\partial z^2}$$