Mathematics - Key Technology for the Future Joint Projects between Universities and Industry

Efficient transfer between science and society is crucial for their future development. The rapid progress of information technology and computer systems offers a large potential and new perspectives for solving complex problems. Mathematical modelling and simulation have become important tools not only in scientific investigations but also in analysing, planning and controlling technological and economic processes. Mathematics, imbedded in an interdisciplinary concept, has become a key technology.

The book covers the results of a variety of major projects in industrial mathematics following an initiative of the German Federal Ministry of Education and Research. All projects are collaborations of industrial companies and university-based researchers, and range from automotive industry to computer technology and medical visualisation. In general, the projects presented in this volume prove that new mathematical ideas and methods can be decisive for the solution of industrial and economic problems.

I. Motors, Vehicles.- Synthesis of Automotive Cams Using Multiple Shooting-SQP Methods for Constrained Optimization.- Numerical Optimization of Scavenging in Two-Stroke Engines with Transfer Ducts, an Exhaust Port and a Moving Piston.- A Numerical Tool for Flow Simulation in a Wankel Motor.- An Efficient Navier-Stokes Solver for Automotive Aerodynamics.- Numerical Simulation of Exhaust Systems in Car Industry — Efficient Calculation of Radiation Heat Transfer.- Combinatorial Optimization Techniques for Three-Dimensional Arrangement Problems.- Simulation of Test-drives of Automobiles at Driving Limit.- An Optimal Control Approach To Real-Time Vehicle Guidance.- Theoretical and Experimental Studies of an S-Catamaran.- II. Environmental Technology.- Robust Error Estimators for Interface Problems Occuring in Transport Processes in Porous Media.- Modelling and Simulation of a Planned Bio-Chemical in situ Remediation.- Influence of Surfactants on Spreading of Contaminants and Soil Remediation.- Improvement of Environment Observing Remote Sensing Devices by Regularization Techniques.- III. Flow, Transport and Reactions in Technological Processes.- Stability Analysis for Reactors from Chemical Industry.- Heterogeneous Dynamic Process Flowsheet Simulation of Chemical Plants.- Numerical Simulation of Annular Chromatography.- Numerical Methods for Parameter Estimation in Bingham-Fluids.- A Viscoelastic Turbulence Model Based on Renormalization Group Theory.- Modelling and Simulation of Capacitor Impulse Welding.- Analysis of Transport Processes for Layered Porous Materials Used in Industrial Applications.- Modelling and Numerical Simulation of District Heating Networks with Time-Saving Solution Methods.- Sensitivity and Robustness Analysis for Construction and Monitoring ofTubine-Generator Shafts.- IV. Optics and Sensors.- Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design.- Direct and Inverse Problems for Diffractive Structures — Optimization of Binary Gratings.- Computation of Electromagnetic Fields for a Humidity Sensor.- V. Crystal Growth, Semiconductors.- Simulation of Industrial Crystal Growth by the Vertical Bridgman Method.- Numerical Simulation and Control of Industrial Crystal Growth Processes.- Optimal Control of Sublimation Growth of SiC Crystals.- Mathematical Modelling and Numerical Simulation of Semiconductor Detectors.- Optimal Design of High Power Electronic Devices by Topology Optimization.- Modelling and Simulation of Strained Quantum Wells in Semiconductor Lasers.- VI. Electronic Circuits.- Efficient Analysis of Oscillatory Circuits.- Modelling and Simulation of Power Devices for High-Voltage Integrated Circuits.- Finding Beneficial DAE Structures in Circuit Simulation.- CHORAL — a Charge-Oriented Algorithm for the Numerical Integration of Electrical Circuits.- VII. Tomography, Image Analysis and Visualisation.- Reconstructing Crystalline Structures from Few Images Under High Resolution Transmission Electron Microscopy.- Measurement of Paint Layer Thickness with Photothermal Infrared Radiometry.- Spatio-Temporal Current Density Reconstruction from EEG-/MEG-Data.- Signal Correction in NMR Spectroscopy.- On Scattering of Ultrasonic Waves.- Smoothing of Tomographic Data and Hybrid Volume-Surface Visualisation.- Video Coding with Adaptive Vector Quantization and Rate Distortion Optimization.- VIII. Statistical Methods in Medical Applications.- The Application of Statistical Methods of Meta-Analysis for Heterogeneity Modelling in Medicine and Pharmacy, Psychology,Quality Control and Assurance.- An Application for the Analysis of Human Tremor Time-Series.- IX. Optimization in Design and Production.- Free Material Optimization.- Automatic Layout and Labelling of State Diagrams.- Optimization Problems in a Semi-Automatic Device for Cutting Leather.- Stochastic Programming for Power Production and Trading Under Uncertainty.- Scheduling Scarce Resources in Chemical Engineering.- X. Optimization in Traffic and Communication.- Duty Scheduling in Public Transit.- Rotation Planning for the Continental Service of a European Airline.- Computer Aided Scheduling of Switching Engines.- Train Schedule Optimization in Public Rail Transport.- An Integrated Planning Approach for Cellular Radio Networks.- Author Index.