Technical Reports

The ICICS/CS Reading Room

UBC CS TR-80-08 Summary

A Spline Least Squares Method for Numerical Estimation in Differential Equations, January 1980 James M. Varah

In this paper, we describe a straightforward least squares approach to the problem of finding numerical values for parameters occurring in differential equations, so that the solution best fits some observed data. The method consists of first fitting the given data by least squares using cubic spline functions with knots chosen interactively, and then finding the parameters by least squares solution of the differential equation sampled at a set of points. We illustrate the method by three problems from chemical and biological modelling.

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