dev.nm.analysis.curvefit.interpolation.bivariate

Interface BicubicInterpolation.PartialDerivatives

All Known Implementing Classes:

PartialDerivativesByCenteredDifferencing

Enclosing class:

BicubicInterpolation

public static interface BicubicInterpolation.PartialDerivatives

Specify the partial derivatives defined at points on a BivariateGrid.

Method Summary

Modifier and Type	Method and Description
double	dx(BivariateGrid grid, int i, int j) Get the partial derivative \(\frac{\partial z}{\partial x}\), at the given position in the grid.
double	dxdy(BivariateGrid grid, int i, int j) Get the cross derivative \(\frac{\partial^2 z}{\partial x \partial y}\), at the given position in the grid.
double	dy(BivariateGrid grid, int i, int j) Get the partial derivative \(\frac{\partial z}{\partial y}\), at the given position in the grid.

Method Detail

dx

double dx(BivariateGrid grid,
          int i,
          int j)

Get the partial derivative \(\frac{\partial z}{\partial x}\), at the given position in the grid.

Parameters:

grid - the grid for which to get the partial derivative

i - the index along the x-axis

j - the index along the y-axis

Returns:

\(\frac{\partial z}{\partial x}\) at the given point

dy

double dy(BivariateGrid grid,
          int i,
          int j)

Get the partial derivative \(\frac{\partial z}{\partial y}\), at the given position in the grid.

Parameters:

grid - the grid for which to get the partial derivative

i - the index along the x-axis

j - the index along the y-axis

Returns:

\(\frac{\partial z}{\partial y}\) at the given point

dxdy

double dxdy(BivariateGrid grid,
            int i,
            int j)

Get the cross derivative \(\frac{\partial^2 z}{\partial x \partial y}\), at the given position in the grid.

Parameters:

grid - the grid for which to get the partial derivative

i - the index along the x-axis

j - the index along the y-axis

Returns:

\(\frac{\partial^2 z}{\partial x \partial y}\) at the given point