Atmospheric Science Paper, Issues 142-143 |
Contents
Basic Spline Theory | 5 |
Mathematical Approximation to Splines | 8 |
Two Dimensional Considerations | 13 |
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50 X Fig 500 mb geopotential 500 mb temperatures 500 mb winds acceptable grid values Ahlberg and Nilson approximated Fig band of influence C₂ central United circulation model COLORADO STATE UNIVERSITY constraints coordinate corresponding spline analysis cubic equation CUBIC SPLINE TECHNIQUE D. B. Rao data value December 28 defined determined endpoints error check exact solution Figure 16 FORT COLLINS Fowler and Wilson frontal characteristics Gilchrist and Cressman given set grid point value heights for central input parameter locations are 25 mb geopotential heights meteorological middle data point middle point minimum number of standard numerical weather prediction Objective analysis includes objective analysis technique observation stations pieces of data preliminary field set of points slope smoothing sphere Spline approximation Spline curve Spline passing strain energy stream function Subjective succeeding grid point surface value temperatures for central third data points UNIVERSITY OF WISCONSIN winds for central x,y₁ x₁ XI Fig y₁