A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations 论文
1982SIAM Journal on Scientific and Statistical Computing引用 275
Advanced Numerical Analysis TechniquesPolynomial and algebraic computationSpectroscopy and Chemometric Analyses
详细信息
- 发表期刊/会议
- SIAM Journal on Scientific and Statistical Computing
- 发表日期
- 1982-03-01
- 发表年份
- 1982
关键词
Advanced Numerical Analysis TechniquesPolynomial and algebraic computationSpectroscopy and Chemometric Analyses
摘要
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 paramters by least squares solution of the differential equation sampled at a set of points. We illustrate the method by four problems from chemical and biological modeling.