Accession Number : ADA113890

Title :   Inverse Problems for Nonlinear, Large Differential Systems.

Descriptive Note : Interim scientific rept.,

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Milstein,Jaime

PDF Url : ADA113890

Report Date : Mar 1982

Pagination or Media Count : 8

Abstract : Research completed includes the following: The dynamics of a system of nonlinear ordinary differential equation depends on the constant coefficients (parameters) of the system. Identifying these coefficients from the solution curves defines an inverse problem. A method to determine the values of the parameters from a finite number of solution curves was developed and implemented. The method consist of two major algorithmic procedures: (1) A derivative free nonlinear optimization, and (2) An error analysis of the parameters found. (Author)

Descriptors :   *Nonlinear differential equations, Inversion, Constants, Coefficients, Parameters, Value, Solutions(General), Identification, Algorithms, Derivatives(Mathematics), Error analysis, Finite difference theory, Optimization

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE