InhaltsangabeComputation of Invariant Manifolds.- A New Model Reduction Method for Nonlinear Dynamical Systems Using Singular PDE Theory.- A Versatile Algorithm for Computing Invariant Manifolds.- Covering an Invariant Manifold with Fat Trajectories.- "Ghost" ILDM-Manifolds and Their Identification.- Dynamic Decomposition of ODE Systems: Application to Modelling of Diesel Fuel Sprays.- Model Reduction of Multiple Time Scale Processes in Non-standard Singularly Perturbed Form.- Coarse-Graining and Ideas of Statistical Physics.- Basic Types of Coarse-Graining.- Renormalization Group Methods for Coarse-Graining of Evolution Equations.- A Stochastic Process Behind Boltzmann's Kinetic Equation and Issues of Coarse Graining.- Finite Difference Patch Dynamics for Advection Homogenization Problems.- Coarse-Graining the Cyclic Lotka-Volterra Model: SSA and Local Maximum Likelihood Estimation.- Relations Between Information Theory, Robustness and Statistical Mechanics of Stochastic Uncertain Systems via Large Deviation Theory.- Kinetics and Model Reduction.- Exactly Reduced Chemical Master Equations.- Model Reduction in Kinetic Theory.- Novel Trajectory Based Concepts for Model and Complexity Reduction in (Bio)Chemical Kinetics.- Dynamics of the Plasma Sheath.- Mesoscale and Multiscale Modeling.- Construction of Stochastic PDEs and Predictive Control of Surface Roughness in Thin Film Deposition.- Lattice Boltzmann Method and Kinetic Theory.- Numerical and Analytical Spatial Coupling of a Lattice Boltzmann Model and a Partial Differential Equation.- Modelling and Control Considerations for Particle Populations in Particulate Processes Within a Multi-Scale Framework.- Diagnostic Goal-Driven Reduction of Multiscale Process Models.- Understanding Macroscopic Heat/Mass Transfer Using Meso- and Macro-Scale Simulations.- An Efficient Optimization Approach for Computationally Expensive Timesteppers Using Tabulation.- A Reduced Input/Output Dynamic Optimisation Method for Macroscopic and Microscopic Systems.

Part 1. Model Reduction and Invariant Manifolds.- Scaling, Self-Similarity, and the Euler-Poisson Equations.- A New Model-Reduction Method for Nonlinear Dynamical Systems Using Singular PDE Theory .- Invariant Manifolds for Stochastic Differential Equations.- Ghost ILDM-Manifolds and Their Identification.- Diagnostic Goal-Driven Reduction Of Multiscale Process Models.- Chemical Master Equation Reduction.- Macroscopic Models For Rarefied Gas Flows.- Trajectory-Based Concepts for Model And Complexity Reduction In (Bio)Chemical Kinetic.- Part 2. Coarse-Graining: Physics and Algorithms.-Equation-Free Computation of Coarse Self-Similar Solutions.- Multi-Scale Analysis For Inertial Particles In A Random Field.- Dynamic Optimization of Large-scale and Multi-scale Dynamic Systems in a Reduced Multiple Shooting Framework.- Adaptive Steering of Microscopic Simulators to Coarse Bifurcation Points: A Coarse Timestepper -Coarse Feedback Linearization Approach.- Patch Dynamics for Multiscale Problems.- Convergence of Robustness, Information Theory, and Statistical Mechanic.- Reduction Schemes for Multiscale Evolutionary Dynamics.- Micro-Macro Interfacing for Lattice Boltzmann Models.- Partial Thermostatting of Coarse-Grained Molecular Dynamics.- Understanding Macroscopic Heat/Mass Transfer Using Meso- and Macro-Scale Simulation.- Part 3. Applications.-Multi-Scale Dynamics and Model Reduction in Integrated Process Networks.- Recent Developments in The Solution of Non Equilibrium Flows via Kinetic Theory.- Optimal Control of Emulsion Polymerisation Processes Employing Population Balance Models.- Reactions Invariants and Other Structural Properties of Reaction System Models. Application in Dynamical System Analysis and Process Control.- Kinetic Modeling of The Microstructure Growth in Plasma Arc Fabrication of Nickel Aluminide Coatings.- Analytical and Computational Approaches for Extracting Population-Level Behaviour from Individual-Based Models of Biological Systems.- Dynamical Decomposition of Multiscale System Of ODEs with Application to Modelling of Diesel Fuel Combustion

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