An improved computational method for sensitivity analysis: Green's function method with 'AIM'

DOI10.1016/S0307-904X(81)80027-3zbMath0469.65049OpenAlexW2063616902MaRDI QIDQ1157110

Mark A. Kramer, Joseph M. Calo, Herschel Rabitz

Publication date: 1981

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(81)80027-3

zbMATH Keywords

sensitivity analysischemical kineticsGreen's function methodanalytical integrated Magnus modification

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Numerical methods for initial value problems involving ordinary differential equations (65L05) Chemical kinetics in thermodynamics and heat transfer (80A30) Inverse problems involving ordinary differential equations (34A55)

Related Items (12)

Adjoint-based sensitivity analysis of quantities of interest of complex combustion models ⋮ Local and global parametric analysis of reacting flows ⋮ A reliable Taylor series-based computational method for the calculation of dynamic sensitivities in large-scale metabolic reaction systems: algorithm and software evaluation ⋮ Sensitivity analysis of one-dimensional mixed initial-boundary value problems: Application to freely propagating premixed laminar flames ⋮ Sensitivity analysis for verification of an anaerobic digestion model ⋮ Sensitivity analysis methods in the biomedical sciences ⋮ Review of options for structural design sensitivity analysis. I: Linear systems ⋮ Sensitivity analysis of stochastic kinetic models ⋮ Practical aspects of sensitivity function approximation for dynamic models ⋮ Parametric scaling of mathematical models ⋮ Sensitivity analysis of oscillatory systems ⋮ Sensitivity analysis of boundary value problems: Application to nonlinear reaction-diffusion systems

Uses Software

• EISPACK
• DIFSUB
• GEAR

Cites Work

• Sensitivity analysis of ordinary differential equation systems - a direct method
• Matrix eigensystem routines. EISPACK guide extension
• Matrix eigensystem routines - EISPACK guide
• Relaxation Processes in Multistate Systems
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• The automatic integration of ordinary differential equations
• An Algorithm for Generalized Matrix Eigenvalue Problems
• On the exponential solution of differential equations for a linear operator
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