A collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. This welcome reference for many new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.

Contenuti:

Block Preconditioners for KKT Systems in PDE-GovernedOptimal Control Problems.- Iterative Multiscale Methods for Process Monitoring.- Three Dimensional Shape and Topology Optimizationin Cauchy-Navier’s PDE.- A Multigrid Method for Optimal Control of Time-dependentReaction Diffusion Processes.- On the Implementation of Multilevel Solversfor Constrained Variational Problems in Dual Formulation.- Nonlinear Boundary Control for the Heat Equation UtilizingProper Orthogonal Decomposition.- A Posteriori Error Estimation for the Sourcewise RepresentedSolution with Application to the Problem of Heat Conductivity.- Efficient Algorithms for Contact Shape Optimization.- Fast Algorithms for Positional Optimization of Dynamic Systems.- Optimal Sizing Using Automatic Differentiation.- On a Globalized Augmented Lagrangian-SQP Algorithmfor Nonlinear Optimal Control Problems with Box Constraints.- Recent Advances in Mesh Adaptivity for Optimal Control Problems.- Optimal Geometrical Design of Bingham ParameterMeasurement Devices.- Sufficient Optimality for Discretized Parabolic and EllipticControl Problems.- Global Quadratic Dynamic Minimization Approachesfor Shape Design withIncomplete Sensitivities on Cad-Free Parameterization of Multi-disciplinary Configurations.- Convergence of Runge-Kutta Discretization for Optimal ControlProblems.- Numerical Optimal Control Strategies for Semi-Active VehicleSuspension with Electrorheological Fluid Dampers.- Adaptive Approximation Algorithm for Relaxed Optimization Problems.- Optimization Tools for Solving Nonlinear Ill-posed Problems.- Material Optimization with a Penalty Barrier Multiplier Method.- List of authors and co-authors.

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