Computation 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.