The method of quasi-stationary sensitivity analysis

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A new sensitivity analysis technique is developed by utilizing Tihonov's singular perturbation theory. The described sensitivity analysis method deals with algebraic equations instead of solving the system of differential equations, which is the case in conventional sensitivity analysis. In the held of chemical kinetics, the proposed technique can supply information on the importance ofelemcntarv steps in complex reaction mechanisms. As examples, high-temperature propane pyrolysis and the chemistry of the "unpolluted" troposphere are studied.

Original languageEnglish
Pages (from-to)401-409
Number of pages9
JournalJournal of Mathematical Chemistry
Volume2
Issue number4
DOIs
Publication statusPublished - Oct 1988

Fingerprint

Sensitivity analysis
Sensitivity Analysis
Singular Perturbation Theory
Pyrolysis
Propane
Troposphere
Reaction Mechanism
Chemical Kinetics
System of Differential Equations
Reaction kinetics
Algebraic Equation
Chemistry
Differential equations
Temperature

ASJC Scopus subject areas

  • Applied Mathematics
  • Chemistry(all)

Cite this

The method of quasi-stationary sensitivity analysis. / Turányi, T.; Bérces, T.; Tóth, J.

In: Journal of Mathematical Chemistry, Vol. 2, No. 4, 10.1988, p. 401-409.

Research output: Contribution to journalArticle

@article{cca43c550e6641aa9b5c0fa554f9cf1d,
title = "The method of quasi-stationary sensitivity analysis",
abstract = "A new sensitivity analysis technique is developed by utilizing Tihonov's singular perturbation theory. The described sensitivity analysis method deals with algebraic equations instead of solving the system of differential equations, which is the case in conventional sensitivity analysis. In the held of chemical kinetics, the proposed technique can supply information on the importance ofelemcntarv steps in complex reaction mechanisms. As examples, high-temperature propane pyrolysis and the chemistry of the {"}unpolluted{"} troposphere are studied.",
author = "T. Tur{\'a}nyi and T. B{\'e}rces and J. T{\'o}th",
year = "1988",
month = "10",
doi = "10.1007/BF01166303",
language = "English",
volume = "2",
pages = "401--409",
journal = "Journal of Mathematical Chemistry",
issn = "0259-9791",
publisher = "Springer Netherlands",
number = "4",

}

TY - JOUR

T1 - The method of quasi-stationary sensitivity analysis

AU - Turányi, T.

AU - Bérces, T.

AU - Tóth, J.

PY - 1988/10

Y1 - 1988/10

N2 - A new sensitivity analysis technique is developed by utilizing Tihonov's singular perturbation theory. The described sensitivity analysis method deals with algebraic equations instead of solving the system of differential equations, which is the case in conventional sensitivity analysis. In the held of chemical kinetics, the proposed technique can supply information on the importance ofelemcntarv steps in complex reaction mechanisms. As examples, high-temperature propane pyrolysis and the chemistry of the "unpolluted" troposphere are studied.

AB - A new sensitivity analysis technique is developed by utilizing Tihonov's singular perturbation theory. The described sensitivity analysis method deals with algebraic equations instead of solving the system of differential equations, which is the case in conventional sensitivity analysis. In the held of chemical kinetics, the proposed technique can supply information on the importance ofelemcntarv steps in complex reaction mechanisms. As examples, high-temperature propane pyrolysis and the chemistry of the "unpolluted" troposphere are studied.

UR - http://www.scopus.com/inward/record.url?scp=34250085863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250085863&partnerID=8YFLogxK

U2 - 10.1007/BF01166303

DO - 10.1007/BF01166303

M3 - Article

AN - SCOPUS:34250085863

VL - 2

SP - 401

EP - 409

JO - Journal of Mathematical Chemistry

JF - Journal of Mathematical Chemistry

SN - 0259-9791

IS - 4

ER -