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Title: Numerical differentiation by spline functions and its application to analyzing a lake temperature observation
Authors: Takagi, Shunsuke, 1919-
Keywords: Applications of mathematics
Heat transfer
Heat transmission
Heat conduction
Lake ice
Numerical differentiation
Spline theory
Water temperature
Mathematical analysis
Mathematical models
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Research report (Cold Regions Research and Engineering Laboratory (U.S.)) ; 293.
Description: Research Report
Abstract: 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.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Research Report

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