Numerical Integration Options dialog box

 

Use this dialog box to specify the options for the numerical integration of data in preparation for another operation.

 

Refer to the Numerical Integration dialog box for additional information on this subject.

 

General Options

 

Method

Specifies the method that will be used to carry out integration. Select one of the following:

 

Cubic Splines

Select this option to carry integration using interpolating cubic splines.

Refer to Cubic Spline Type and Spline End Conditions in this topic, or to Interpolating Cubic Splines for additional information on this subject.

 

Piecewise Polynomials

Select this option to carry integration using interpolating piecewise polynomials.

 

Polynomial Interpolation

Select this option to carry integration using polynomial interpolation.

 

Cubic Spline Type

Specifies the type of cubic spline that will be used to carry spline integration. Select one of the following:

 

Clamped Spline

Select this option to carry integration using splines where the end-point conditions refer to the value of the first derivative of the series at its extreme points.

Refer to Complete Cubic Splines for additional information on this subject.

 

Natural Spline

Select this option to carry integration using splines where the end-point conditions refer to the value of the second derivative of the series at its extreme points.

Refer to Natural Cubic Splines for additional information on this subject.

 

Third Derivative

Select this option to carry integration using splines where the end-point conditions refer to the value of the third derivative of the series at its extreme points.

Refer to Splines With Specified End-Point Third Derivatives for additional information on this subject.

 

Not-a-Knot Spline

Select this option to carry integration using splines where where the third derivative of the spline function is continuous at the second and second-to-last nodes.

Refer to Not-a-knot Splines for additional information on this subject.

 

Refer to Spline End Conditions in this topic, or to Interpolating Cubic Splines for additional information on this subject.

 

Spline End Conditions

Specifies the conditions at the first and last points of the series.  These boxes will have different meanings depending on the type of selected spline (Cubic Spline).

 

Start Point Condition

Type in this box the value of the condition of the first or start point of the series. For example, you could type a value of zero (0) for the first derivative of the first point of the series in relation to clamped splines to make the series appear as having extrema at this point.

 

End Point Condition

Type in this box the value of the condition of the last or end point of the series. For example, you could type a value of one (1) for the first derivative of the last point of the series in relation to clamped splines to make the series appear as increasing at this point..

 

Refer to Cubic Spline Type in this topic, or  Interpolating Cubic Splines for additional information on this subject.

 

Piecewise Polynomial Parameters

Specifies the parameters for integrating using piecewise polynomials.

 

Polynomial Degree

Specifies the degree of the interpolating piecewise polynomials. Type in this box a value in the range of 1 through 15, or the length of the selected series less one if the series length is smaller than 16.

 

OK

Click this button to close the dialog box and save any changes you have made.

 

Cancel

Click this button to close the dialog box without saving any changes you have made.