Marshall Slemrod (auth.), Alexander N. Gorban, Dirk Roose's Coping with Complexity: Model Reduction and Data Analysis PDF

By Marshall Slemrod (auth.), Alexander N. Gorban, Dirk Roose (eds.)

ISBN-10: 3642149405

ISBN-13: 9783642149405

ISBN-10: 3642149413

ISBN-13: 9783642149412

This quantity includes the prolonged model of chosen talks given on the overseas study workshop "Coping with Complexity: version relief and information Analysis", Ambleside, united kingdom, August 31 – September four, 2009. The ebook is intentionally large in scope and goals at selling new rules and methodological views. the subjects of the chapters variety from theoretical research of complicated and multiscale mathematical versions to functions in e.g., fluid dynamics and chemical kinetics.

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5 1 A−factor 2 (cm3 3 −1 molecule Nominal value 3 4 5 −1 −13 s ) × 10 0 2 A−factor 4 (cm3 6 molecule 8 −1 10 −1 s ) × 10−14 Fig. 4 First-order component function fi for (a) 2C6 H11 OO ! 2C6 H11 O C O2 , and scatter plot for (b) 2C6 H11 OO ! C5 H10 CO C C6 H11 OH C O2 and output O2 . max /. S. Tomlin and T. Ziehn the reaction rate becomes faster. This suggests that as the reaction becomes faster, it potentially moves into a quasi-steady state regime where the overall dynamics of the model is relatively insensitive to its actual rate.

9 Radial profiles of (a) NNOx and (b) NO at different distances x from the point source 2 obtained from simulations and from wind tunnel experiments [48]. 5 3 Fig. 10 First-order component functions and scatter plots for (a) the structure function coefficient c0 and (b) the mixing time-scale coefficient ˛ with respect to . NNOx / at the plume centre for x D 2:2 m. The mean f0 is added to fi for comparison with scatter plot significant influence of c0 on the simulation of downwind plume centre line passive tracer .

Atmospheric Environment 42 (2008) 1857–1873 12. : Thermochemical Kinetics. Methods for the Estimation of Thermochemical Data and Rate Parameters. Wiley, NY (1976) 13. : A Fortran Program for Modeling Steady Laminar One-Dimensional Premixed Flames. Sandia National Laboratories SAND85-8240 (1985) 14. : Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Mathematics and Computers in Simulation 55 (2001) 271–280 15. : On the distribution of points in a cube and the approximate evaluation of integrals.

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Coping with Complexity: Model Reduction and Data Analysis by Marshall Slemrod (auth.), Alexander N. Gorban, Dirk Roose (eds.)

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