During type selection and design of hydraulic turbine,the selection on method for the fitting of the characteristic curves of turbine is quite important;for which the polishing method of parametric variable spline function is not only intuitive,but also has the merits such as higher approachability,smoothness,convexity-preserving property and better integration etc.

Computing the vertical second derivative and upward continuation of gravity anomaly by spline function method;

Local-coordinate spline function method: an accurate method for geophysical anomaly conversion;

Electric load models described by spline function;

? 2D curve of the pipelines is imitated by using B spline functions.

Spline 4 method in cubic spline functions method is used for solving water hydrodynamic dispersion equation of undergroundwater pollution, and it is compared with that of analytic solutions in one dimensional question.

With the displacement components u and w treated as fundamental unknown variables, and the cubic B spline functions as displacement functions, the nonlinear stiffness equations of spline discretization are established based on the principle of minimum potential energy, and the precise explicit expression of the nonlinear tangential stiffness matrix is derived.

Then it theoretically analyzes the application of the cubic splines functions in the fitting of the Hall sensor characteristic curve.

In order to increase effectiveness to fitting the characteristic curve of the Hall sensor,the theory of the cubic splines functions were analyzed.