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Dynamic Dimension Reduction in ODE Models

Please always quote using this URN: urn:nbn:de:0297-zib-1951
  • The paper analyzes a splitting technique into fast and slow dynamical components of ODE systems as suggested by {\sc Maas and Pope} recently. Their technique is based on a real block -- Schur decomposition of the Jacobian of the right hand side of the ODE. As a result of the analysis, a computationally cheap monitor for the possible necessary recovering of the splitting is derived by singular perturbation theory. Numerical experiments on moderate size, but challenging reaction kinetics problems document the efficiency of the new device within a linearly-implicit stiff integrator.

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Metadaten
Author:Peter Deuflhard, Jörg Heroth
Document Type:ZIB-Report
Date of first Publication:1995/11/23
Series (Serial Number):ZIB-Report (SC-95-29)
ZIB-Reportnumber:SC-95-29
Published in:Appeared in: Scientific Computing in Chemical Engineering. F. Keil, W. Mackens, H. Voß, J. Werther (eds.) Springer 1996, pp. 29-43
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