| Abstract: | A continuous piecewise quadratic function with continuous first derivative is devised for approximating a single-valued, but unknown, function represented by a set of discrete points. The quadratic is proposed as a treatment intermediate between using the angular (but reliable, easily constructed and manipulated) piecewise linear function and using the smoother (but occasionally erratic) cubic spline. Neither iteration nor the solution of a system of simultaneous equations is necessary to determining the coefficients. Several properties of the quadratic function are given. A set of five short FORTRAN subroutines is provided for generating the coefficients (QSC), finding function value and derivatives (QSY), integrating (QSI), finding extrema (QSE), and computing arc length and the curvature-squared integral (QSK). (USGS) |
| Genre: | USGS Numbered Series |
| ProdID: | 29270 |
| Citation Author: | Rasmussen, L. A. |
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| Citation Language: | ENGLISH |
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| Citation Phsyical Description: | 16 leaves ;28 cm.; 20 p. |
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| Citation Publisher: | U.S. Geological Survey, Water Resources Division, |
| Citation Series: | Water-Resources Investigations Report |
| Citation Series Code: | WRI |
| Citation Series Number: | 82-41 |
| Citation Search Results Text: | Quadratic spline subroutine package; 1982; WRI; 82-41; Rasmussen, L. A. |
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| Citation Year: | 1982 |
| Type: | citation/reference |
| Text: | Quadratic spline subroutine package; 1982; WRI; 82-41; Rasmussen, L. A. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/usgs_thumb.jpg |
| Date Other: | Sat, 1 Jan 1994 00:00 -0600 |
| Publisher: | U.S. Geological Survey, Water Resources Division, |
