In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Inhalt
Papers.- Model Reduction Based on Spectral Projection Methods.- Smith-Type Methods for Balanced Truncation of Large Sparse Systems.- Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form.- On Model Reduction of Structured Systems.- Model Reduction of Time-Varying Systems.- Model Reduction of Second-Order Systems.- Arnoldi Methods for Structure-Preserving Dimension Reduction of Second-Order Dynamical Systems.- Padé-Type Model Reduction of Second-Order and Higher-Order Linear Dynamical Systems.- Controller Reduction Using Accuracy-Enhancing Methods.- Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control.- Benchmarks.- Oberwolfach Benchmark Collection.- A File Format for the Exchange of Nonlinear Dynamical ODE Systems.- Nonlinear Heat Transfer Modeling.- Microhotplate Gas Sensor.- Tunable Optical Filter.- Convective Thermal Flow Problems.- Boundary Condition Independent Thermal Model.- The Butterfly Gyro.- A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles.- Model Reduction of an Actively Controlled Supersonic Diffuser.- Second Order Models: Linear-Drive Multi-Mode Resonator and Axi Symmetric Model of a Circular Piston.- RCL Circuit Equations.- PEEC Model of a Spiral Inductor Generated by Fasthenry.- Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems.