differentiate Interface
public interface differentiate
Public interface for various differentiation routines.
Module Procedures
public pure function differentiate_array_re(x, y) result(r)
Calculates the numerical derivative of an array y wrt. x using central differences at the interior points and forward/backward differences at the exterior points. All three approaches yield two-point approximations of the derivatives, thus the mesh spacing does not have to be uniform.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| real(kind=wp), | intent(in), | dimension(size(x)) | :: | y |
Function y(x) |
Return Value real(kind=wp), dimension(size(x))
Derivative dy/dx
public pure function differentiate_array_cx(x, y) result(r)
Complex version of differentiate_array_re.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| complex(kind=wp), | intent(in), | dimension(size(x)) | :: | y |
Function y(x) |
Return Value complex(kind=wp), dimension(size(x))
Derivative dy/dx