Sensitivity Analysis of Initial Value Problems with Mixed Ode's and Algebraic Equations.

Abstract

An efficient method is described for sensitivity analysis of nonlinear initial value problems, which may include algebraic equations as well as ordinary differential equations. The linearity of the sensitivity equations is utilized to solve them directly via the local Jacobian of the state equations. The method is implemented with the implicit integrator DASSL and is demonstrated on a stiff industrial reaction model. Keywords: Numerical integration, Stiff equations, Parametric sensitivities, Initial value problems, Newtons method, Chemical kinetics.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1984
Accession Number
ADA153528

Entities

People

  • M. Caracotsios
  • W. E. Stewart

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Chemical Engineering
  • Chemical Kinetics
  • Chemical Reactions
  • Coefficients
  • Computations
  • Computers
  • Contracts
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of State
  • Experimental Design
  • Kinetics
  • Mathematics
  • Numerical Integration
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Organic Chemistry