Call number:
ZSP-202-293
In:
Research report
Description / Table of Contents:
CONTENTS: Introduction. - What is a spline function?. - 1. Determination of a cubic spline. - 2. Effect of end conditions. - 3. Some properties of cubic splines. - Application to a lake temperature observation. - 1. Observed temperatures. - 2. Integral residuals of the observed temperatures. - 3. Theoretical temperature distributions. - Conclusion. - Literature cited.
Description / Table of Contents:
Numerical differentiation by use of classical interpolation formulas yields a diversity of results. Consistent numerical differentiation can be performed by using a spline function as an interpolating function. As an application, temperature observed in a lake is numerically differentiated as a function of time and of depth by use of cubic splines. The deviation of the actual heat transfer mechanism from vertical heat conduction can thus be detected. The reliability of numerical differentiation by spline functions is manifest in this example.
Type of Medium:
Series available for loan
Pages:
iii, 18 Seiten
,
Illustrationen
Series Statement:
Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 293
URL:
http://www.worldcat.org/oclc/5861462
Language:
English
Branch Library:
AWI Library
