Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena

Part I.Computation of Invariant Manifolds

1. A New Model Reduction Method for Nonlinear Dynamical Systems Using Singular PDE Theory
N. Kazantzis, C. Kravaris

2. A Versatile Algorithm for Computing Invariant Manifolds
H. W. Broer, A. Hagen, G. Vegter

3. Covering an Invariant Manifold with Fat Trajectories
M. E. Henderson

4. “Ghost” ILDM-Manifolds and Their Identification
S. Borok, I. Goldfarb, V. Gol’dshtein, U. Maas

5. Dynamic Decomposition of ODE Systems: Application to Modelling of Diesel Fuel Sprays
V. Bykov, I. Goldfarb, V. Gol’dshtein, S. Sazhin, E. Sazhina

6. Model Reduction of Multiple Time Scale Processes in Non-standard Singularly Perturbed Form
N. P. Vora, M. -N. Contou-Carrere, P. Daoutidis

Part II.Coarse-Graining and Ideas of Statistical Physics

7. Basic Types of Coarse-Graining
A. N. Gorban

8. Renormalization Group Methods for Coarse-Graining of Evolution Equations
A. Degenhard, J. Rodríguez-Laguna

9. A Stochastic Process Behind Boltzmann’s Kinetic Equation and Issues of Coarse Graining
H. C. Öttinger

10. Finite Difference Patch Dynamics for Advection Homogenization Problems
G. Samaey, D. Roose, I. G. Kevrekidis

11. Coarse-Graining the Cyclic Lotka-Volterra Model: SSA and Local Maximum Likelihood Estimation
C. P. Calderon, G. A. Tsekouras, A. Provata, I. G. Kevrekidis

12. Relations Between Information Theory, Robustness and Statistical Mechanics of Stochastic Uncertain Systems via Large Deviation Theory
C. D. Charalambous, A. Kyprianou, F. Rezaei

Part III.Kinetics and Model Reduction

13. Exactly Reduced Chemical Master Equations
M. R. Roussel, R. Zhu

14. Model Reduction in Kinetic Theory
H. Struchtrup

15. Novel Trajectory Based Concepts for Model and Complexity Reduction in (Bio)Chemical Kinetics
D. Lebiedz, V. Reinhardt, J. Kammerer

16. Dynamics of the Plasma Sheath
M. Slemrod

Part IV.Mesoscale and Multiscale Modeling

17. Construction of Stochastic PDEs and Predictive Control of Surface Roughness in Thin Film Deposition
D. Ni, P. D. Christofides

18. Lattice Boltzmann Method and Kinetic Theory
S. Ansumali, S. S. Chikatamarla, C. E. Frouzakis, I. V. Karlin, I. G. Kevrekidis

19. Numerical and Analytical Spatial Coupling of a Lattice Boltzmann Model and a Partial Differential Equation
P. Leemput, W. Vanroose, D. Roose

20. Modelling and Control Considerations for Particle Populations in Particulate Processes Within a Multi-Scale Framework
N. Bianco, C. D. Immanuel

21. Diagnostic Goal-Driven Reduction of Multiscale Process Models
E. Németh, R. Lakner, K. M. Hangos

22. Understanding Macroscopic Heat/Mass Transfer Using Meso- and Macro-Scale Simulations
D. V. Papavassiliou

23. An Efficient Optimization Approach for Computationally Expensive Timesteppers Using Tabulation
A. Varshney, A. Armaou

24. A Reduced Input/Output Dynamic Optimisation Method for Macroscopic and Microscopic Systems
C. Theodoropoulos, E. Luna-Ortiz

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Avainsanat: SCIENCE / Physics SCI055000