Mathematics – Key Technology for the Future: Joint Projects Between Universities and Industry 2004–2007

Uwe Feldmann (auth.), Hans-Joachim Krebs, Willi Jäger (eds.)3540772022, 978-3-540-77202-6

This book is about the results of a number of projects funded by the BMBF in the initiative “Mathematics for Innovations in Industry and Services”.

It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users.

Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.

---

Table of contents :
Front Matter….Pages I-XVIII
Front Matter….Pages 1-1
Numerical Simulation of Multiscale Models for Radio Frequency Circuits in the Time Domain….Pages 3-7
Numerical Simulation of High-Frequency Circuits in Telecommunication….Pages 9-18
Wavelet-Collocation of Multirate PDAEs for the Simulation of Radio Frequency Circuits….Pages 19-28
Numerical Simulation of Thermal Effects in Coupled Optoelectronic Device-circuit Systems….Pages 29-38
Efficient Transient Noise Analysis in Circuit Simulation….Pages 39-49
Front Matter….Pages 51-51
Numerical Methods for the Simulation of Epitaxial Growth and their Application in the Study of a Meander Instability….Pages 53-73
Micro Structures in Thin Coating Layers: Micro Structure Evolution and Macroscopic Contact Angle….Pages 75-97
Front Matter….Pages 99-99
Modeling and Simulation of Hairy Root Growth….Pages 101-115
Simulation and Optimization of Bio-Chemical Microreactors….Pages 117-127
Front Matter….Pages 129-129
Modeling and Optimization of Correction Measures for Human Extremities….Pages 131-148
Image Segmentation for the Investigation of Scattered-Light Images when Laser-Optically Diagnosing Rheumatoid Arthritis….Pages 149-161
Front Matter….Pages 163-163
Dynamic Routing of Automated Guided Vehicles in Real-time….Pages 165-177
Optimization of signalized traffic networks….Pages 179-188
Optimal Sorting of Rolling Stock at Hump Yards….Pages 189-203
Stochastic Models and Algorithms for the Optimal Operation of a Dispersed Generation System under Uncertainty….Pages 205-233
Parallel Adaptive Simulation of PEM Fuel Cells….Pages 235-249
Front Matter….Pages 251-251
Advanced Credit Portfolio Modeling and CDO Pricing….Pages 253-279
Contributions to Multivariate Structural Approaches in Credit Risk Modeling….Pages 281-294
Economic Capital Modelling and Basel II Compliance in the Banking Industry….Pages 295-317
Numerical Simulation for Asset-Liability Management in Life Insurance….Pages 319-341
Front Matter….Pages 251-251
On the Dynamics of the Forward Interest Rate Curve and the Evaluation of Interest Rate Derivatives and their Sensitivities….Pages 343-357