Sensitivity analysis of the atmospheric reaction-diffusion equation

Seog Yeon Cho, Gregory R. Carmichael, Herschel Rabitz

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


A general and computationally efficient methodology for the sensitivity analysis of space-time atmospheric reaction-diffusion problems is presented. For cases where the parameters or initial conditions vary spatially the elementary sensitivity analysis is based on sensitivity densities. Procedures are discussed to calculate these sensitivities directly as well as those integrated over a finite disturbance region. In addition, the analysis of the system Green's function is shown to be very useful in interpreting the spatial and temporal variation of the sensitivity densities. The techniques are illustrated by analyzing a one-dimensional time-dependent atmospheric transport-chemistry problem where an initial distribution of pure NO is injected into a homogeneous background of O3.

Original languageEnglish (US)
Pages (from-to)2589-2598
Number of pages10
JournalAtmospheric Environment (1967)
Issue number12
StatePublished - 1987

All Science Journal Classification (ASJC) codes

  • General Environmental Science
  • General Earth and Planetary Sciences


  • Galerkin finite element method
  • Green's function analysis
  • NO-O reaction-diffusion
  • Sensitivity analysis
  • reaction-diffusion equation


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