Inverse Problems for Nonlinear, Large Differential Systems.

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)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1982
Accession Number
ADA113890

Entities

People

  • Jaime Milstein

Organizations

  • University of Southern California

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Applied Mathematics
  • Chemical Kinetics
  • Chemical Reactions
  • Differential Equations
  • Dynamics
  • Equations
  • Error Analysis
  • Errors
  • Heuristic Methods
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Optimization
  • Security

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)