Application of the least squares method to solving linear differential-algebraic equations

2013 ◽  
Vol 6 (1) ◽  
pp. 77-90 ◽  
Author(s):  
V. F. Chistyakov ◽  
E. V. Chistyakova
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Linear Differential

Solutions of Linear Differential Algebraic Equations

SIAM Review ◽  
1998 ◽  
Vol 40 (2) ◽  
pp. 344-346 ◽  
Author(s):  
Mazi Shirvani ◽  
Joseph W. H. So
Keyword(s):  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Linear Differential

scholarly journals Determination of parameters for Cauchy’s problem for systems of ODEs with application to biological modelling

BIOMATH ◽  
2016 ◽  
Vol 5 (1) ◽  
pp. 1604231
Author(s):  
A.N. Pete ◽  
Peter Mathye ◽  
Igor Fedotov ◽  
Michael Shatalov
Keyword(s):  
Experimental Data ◽  
Mathematical Models ◽  
Least Squares ◽  
Numerical Method ◽  
Least Squares Method ◽  
Algebraic Equations ◽  
Systems Of Odes ◽  
Determination Of Parameters ◽  
Biological Modelling

An inverse numerical method that estimate parameters of dynamic mathematical models given some information about unknown trajectories at some time is applied to examples taken from Biology and Ecology. The method consisting of determining an over-determined system of algebraic equations using experimental data. The solution of the over-determined system is then obtained using, for example the least-squares method. To illustrate the effectiveness of the method an analysis of examples and corresponding numerical example are presented.

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