Ebook: 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.

The book will be of great interest to everyone working in industrial mathematics and scientific computing.

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Content:
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Synthesis of Automotive Cams Using Multiple Shooting-SQP Methods for Constrained Optimization....Pages 3-21
Numerical Optimization of Scavenging in Two-Stroke Engines with Transfer Ducts, an Exhaust Port and a Moving Piston....Pages 22-32
A Numerical Tool for Flow Simulation in a Wankel Motor....Pages 33-42
An Efficient Navier-Stokes Solver for Automotive Aerodynamics....Pages 43-54
Numerical Simulation of Exhaust Systems in Car Industry — Efficient Calculation of Radiation Heat Transfer....Pages 55-62
Combinatorial Optimization Techniques for Three-Dimensional Arrangement Problems....Pages 63-73
Simulation of Test-drives of Automobiles at Driving Limit....Pages 74-83
An Optimal Control Approach To Real-Time Vehicle Guidance....Pages 84-102
Theoretical and Experimental Studies of an S-Catamaran....Pages 103-124
Front Matter....Pages 125-125
Robust Error Estimators for Interface Problems Occuring in Transport Processes in Porous Media....Pages 127-136
Modelling and Simulation of a Planned Bio-Chemical in situ Remediation....Pages 137-151
Influence of Surfactants on Spreading of Contaminants and Soil Remediation....Pages 152-161
Improvement of Environment Observing Remote Sensing Devices by Regularization Techniques....Pages 162-172
Front Matter....Pages 173-173
Stability Analysis for Reactors from Chemical Industry....Pages 175-183
Heterogeneous Dynamic Process Flowsheet Simulation of Chemical Plants....Pages 184-193
Numerical Simulation of Annular Chromatography....Pages 194-203
Numerical Methods for Parameter Estimation in Bingham-Fluids....Pages 204-215
A Viscoelastic Turbulence Model Based on Renormalization Group Theory....Pages 216-232
Modelling and Simulation of Capacitor Impulse Welding....Pages 233-242
Analysis of Transport Processes for Layered Porous Materials Used in Industrial Applications....Pages 243-251
Front Matter....Pages 173-173
Modelling and Numerical Simulation of District Heating Networks with Time-Saving Solution Methods....Pages 252-262
Sensitivity and Robustness Analysis for Construction and Monitoring of Tubine-Generator Shafts....Pages 263-276
Front Matter....Pages 277-277
Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design....Pages 279-292
Direct and Inverse Problems for Diffractive Structures — Optimization of Binary Gratings....Pages 293-304
Computation of Electromagnetic Fields for a Humidity Sensor....Pages 305-312
Front Matter....Pages 313-313
Simulation of Industrial Crystal Growth by the Vertical Bridgman Method....Pages 315-330
Numerical Simulation and Control of Industrial Crystal Growth Processes....Pages 331-342
Optimal Control of Sublimation Growth of SiC Crystals....Pages 343-354
Mathematical Modelling and Numerical Simulation of Semiconductor Detectors....Pages 355-364
Optimal Design of High Power Electronic Devices by Topology Optimization....Pages 365-376
Modelling and Simulation of Strained Quantum Wells in Semiconductor Lasers....Pages 377-390
Front Matter....Pages 391-391
Efficient Analysis of Oscillatory Circuits....Pages 393-400
Modelling and Simulation of Power Devices for High-Voltage Integrated Circuits....Pages 401-412
Finding Beneficial DAE Structures in Circuit Simulation....Pages 413-428
CHORAL — a Charge-Oriented Algorithm for the Numerical Integration of Electrical Circuits....Pages 429-438
Front Matter....Pages 439-439
Reconstructing Crystalline Structures from Few Images Under High Resolution Transmission Electron Microscopy....Pages 441-459
Measurement of Paint Layer Thickness with Photothermal Infrared Radiometry....Pages 460-471
Spatio-Temporal Current Density Reconstruction from EEG-/MEG-Data....Pages 472-482
Signal Correction in NMR Spectroscopy....Pages 483-492
On Scattering of Ultrasonic Waves....Pages 493-502
Front Matter....Pages 439-439
Smoothing of Tomographic Data and Hybrid Volume-Surface Visualisation....Pages 503-519
Video Coding with Adaptive Vector Quantization and Rate Distortion Optimization....Pages 520-529
Front Matter....Pages 531-531
The Application of Statistical Methods of Meta-Analysis for Heterogeneity Modelling in Medicine and Pharmacy, Psychology, Quality Control and Assurance....Pages 533-553
An Application for the Analysis of Human Tremor Time-Series....Pages 554-569
Front Matter....Pages 571-571
Free Material Optimization....Pages 573-583
Automatic Layout and Labelling of State Diagrams....Pages 584-608
Optimization Problems in a Semi-Automatic Device for Cutting Leather....Pages 609-622
Stochastic Programming for Power Production and Trading Under Uncertainty....Pages 623-636
Scheduling Scarce Resources in Chemical Engineering....Pages 637-650
Front Matter....Pages 651-651
Duty Scheduling in Public Transit....Pages 653-674
Rotation Planning for the Continental Service of a European Airline....Pages 675-689
Computer Aided Scheduling of Switching Engines....Pages 690-702
Train Schedule Optimization in Public Rail Transport....Pages 703-716
An Integrated Planning Approach for Cellular Radio Networks....Pages 717-730
Back Matter....Pages 731-732

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Content:
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Synthesis of Automotive Cams Using Multiple Shooting-SQP Methods for Constrained Optimization....Pages 3-21
Numerical Optimization of Scavenging in Two-Stroke Engines with Transfer Ducts, an Exhaust Port and a Moving Piston....Pages 22-32
A Numerical Tool for Flow Simulation in a Wankel Motor....Pages 33-42
An Efficient Navier-Stokes Solver for Automotive Aerodynamics....Pages 43-54
Numerical Simulation of Exhaust Systems in Car Industry — Efficient Calculation of Radiation Heat Transfer....Pages 55-62
Combinatorial Optimization Techniques for Three-Dimensional Arrangement Problems....Pages 63-73
Simulation of Test-drives of Automobiles at Driving Limit....Pages 74-83
An Optimal Control Approach To Real-Time Vehicle Guidance....Pages 84-102
Theoretical and Experimental Studies of an S-Catamaran....Pages 103-124
Front Matter....Pages 125-125
Robust Error Estimators for Interface Problems Occuring in Transport Processes in Porous Media....Pages 127-136
Modelling and Simulation of a Planned Bio-Chemical in situ Remediation....Pages 137-151
Influence of Surfactants on Spreading of Contaminants and Soil Remediation....Pages 152-161
Improvement of Environment Observing Remote Sensing Devices by Regularization Techniques....Pages 162-172
Front Matter....Pages 173-173
Stability Analysis for Reactors from Chemical Industry....Pages 175-183
Heterogeneous Dynamic Process Flowsheet Simulation of Chemical Plants....Pages 184-193
Numerical Simulation of Annular Chromatography....Pages 194-203
Numerical Methods for Parameter Estimation in Bingham-Fluids....Pages 204-215
A Viscoelastic Turbulence Model Based on Renormalization Group Theory....Pages 216-232
Modelling and Simulation of Capacitor Impulse Welding....Pages 233-242
Analysis of Transport Processes for Layered Porous Materials Used in Industrial Applications....Pages 243-251
Front Matter....Pages 173-173
Modelling and Numerical Simulation of District Heating Networks with Time-Saving Solution Methods....Pages 252-262
Sensitivity and Robustness Analysis for Construction and Monitoring of Tubine-Generator Shafts....Pages 263-276
Front Matter....Pages 277-277
Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design....Pages 279-292
Direct and Inverse Problems for Diffractive Structures — Optimization of Binary Gratings....Pages 293-304
Computation of Electromagnetic Fields for a Humidity Sensor....Pages 305-312
Front Matter....Pages 313-313
Simulation of Industrial Crystal Growth by the Vertical Bridgman Method....Pages 315-330
Numerical Simulation and Control of Industrial Crystal Growth Processes....Pages 331-342
Optimal Control of Sublimation Growth of SiC Crystals....Pages 343-354
Mathematical Modelling and Numerical Simulation of Semiconductor Detectors....Pages 355-364
Optimal Design of High Power Electronic Devices by Topology Optimization....Pages 365-376
Modelling and Simulation of Strained Quantum Wells in Semiconductor Lasers....Pages 377-390
Front Matter....Pages 391-391
Efficient Analysis of Oscillatory Circuits....Pages 393-400
Modelling and Simulation of Power Devices for High-Voltage Integrated Circuits....Pages 401-412
Finding Beneficial DAE Structures in Circuit Simulation....Pages 413-428
CHORAL — a Charge-Oriented Algorithm for the Numerical Integration of Electrical Circuits....Pages 429-438
Front Matter....Pages 439-439
Reconstructing Crystalline Structures from Few Images Under High Resolution Transmission Electron Microscopy....Pages 441-459
Measurement of Paint Layer Thickness with Photothermal Infrared Radiometry....Pages 460-471
Spatio-Temporal Current Density Reconstruction from EEG-/MEG-Data....Pages 472-482
Signal Correction in NMR Spectroscopy....Pages 483-492
On Scattering of Ultrasonic Waves....Pages 493-502
Front Matter....Pages 439-439
Smoothing of Tomographic Data and Hybrid Volume-Surface Visualisation....Pages 503-519
Video Coding with Adaptive Vector Quantization and Rate Distortion Optimization....Pages 520-529
Front Matter....Pages 531-531
The Application of Statistical Methods of Meta-Analysis for Heterogeneity Modelling in Medicine and Pharmacy, Psychology, Quality Control and Assurance....Pages 533-553
An Application for the Analysis of Human Tremor Time-Series....Pages 554-569
Front Matter....Pages 571-571
Free Material Optimization....Pages 573-583
Automatic Layout and Labelling of State Diagrams....Pages 584-608
Optimization Problems in a Semi-Automatic Device for Cutting Leather....Pages 609-622
Stochastic Programming for Power Production and Trading Under Uncertainty....Pages 623-636
Scheduling Scarce Resources in Chemical Engineering....Pages 637-650
Front Matter....Pages 651-651
Duty Scheduling in Public Transit....Pages 653-674
Rotation Planning for the Continental Service of a European Airline....Pages 675-689
Computer Aided Scheduling of Switching Engines....Pages 690-702
Train Schedule Optimization in Public Rail Transport....Pages 703-716
An Integrated Planning Approach for Cellular Radio Networks....Pages 717-730
Back Matter....Pages 731-732
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