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Displaying 1-5 out of 5 total
Light a Single Candle: Studying Supernovae
Found in:
Computing in Science and Engineering
By Dianne P. O'Leary,Bert W. Rust
Issue Date:March 2012
pp. 90-96
This case study investigates how well an acceleration hypothesis formulated in 1976—stipulating that the decay rates for supernovae seem to be accelerated by a common factor—fits data accumulated since then. The first Web extra (mcs20...
Freestyle Data Fitting and Global Temperatures
Found in:
Computing in Science and Engineering
By Barend J. Thijsse, Bert W. Rust
Issue Date:January 2008
pp. 49-59
The method described here separates signal (trend) from noise in a set of measured bivariate data when there is no mathematical model for that signal. A computer program called spline2 implements the algorithm, which the authors apply to laboratory and rea...
Fitting Nature's Basic Functions Part IV: The Variable Projection Algorithm
Found in:
Computing in Science and Engineering
By Bert W. Rust
Issue Date:March 2003
pp. 74-79
<p>In the previous installments, we described linear and nonlinear least squares calculations. The latter are considerably more difficult than the former. We will now examine the variable projection algorithm, which often greatly simplifies nonlinear...
Fitting Nature's Basic Functions Part III: Exponentials, Sinusoids, and Nonlinear Least Squares
Found in:
Computing in Science and Engineering
By Bert W. Rust
Issue Date:July 2002
pp. 72-77
<p>In Part I and Part II of this series, we used linear least squares to fit polynomials of various degree to the annual global temperature anomalies for 1856 to 1999. Polynomials are much beloved by mathematicians but are of limited value for modeli...
Fitting Nature's Basic Function Part I: Polynomials and Linear Least Squares
Found in:
Computing in Science and Engineering
By Bert W. Rust
Issue Date:September 2001
pp. 84-89
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