Lectures on Applied Mathematics

1. Front Matter

   Pages I-X

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2. Invited Contributions

   1. Front Matter

      Pages 1-1

      PDF

   2. Pure, Applied, and Industrial Mathematics: Strength Through Connections

      • A. Friedman

      Pages 3-8

   3. On H ²-Matrices

      • W. Hackbusch, B. Khoromskij, S. A. Sauter

      Pages 9-29

   4. On the Stability of Microstructure for General Martensitic Transformations

      • M. Luskin

      Pages 31-43

   5. Dissipative Evolution of Microstructure in Shape Memory Alloys

      • T. Roubíček

      Pages 45-63

   6. A Phase Diagram of Integration and Segregation in a Population of Hawks and Doves

      • I. Müller

      Pages 65-75

   7. Existence and Asymptotic Behaviour in Phase-Field Models with Hysteresis

      • P. Krejčí, J. Sprekels, S. Zheng

      Pages 77-88

   8. On a New Class of Nonlocal Unilateral Problems in Thermomechanics

      • J.-F Rodrigues

      Pages 89-101

   9. Dynamics of Diffusive Phase Transitions Driven by Coupled Mechanisms

      • M. Niezgódka

      Pages 103-107

   10. Free Boundary Problems and their Stabilisation

       • J. R. Ockendon

       Pages 109-122

   11. A New Model for the Dynamics of Dispersions in a Batch Reactor

       • A. Fasano, F. Rosso

       Pages 123-141

   12. Optimal Control Problems for the Navier-Stokes Equations

       • A. Fürsikov, M. Gunzburger, L. S. Hou, S. Manservisi

       Pages 143-155

   13. Structural Identification of Nonlinear Coefficient Functions in Transport Processes through Porous Media

       • P. Knabner, B. Igler

       Pages 157-175

3. Contributions from the SFB 438

   1. Front Matter

      Pages 177-177

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   2. Development of Innovative Osteosynthesis Techniques by Numerical and In Vitro Simulation of the Masticatory System

      • A. Neff, A. Kuhn, H. Schieferstein, A. M. Hinz, E. Wilczok, G. Mühlberger et al.

      Pages 179-205

   3. Rate Independent Hysteresis

      • M. Brokate

      Pages 207-216

   4. The Oxidation Process of Silicon

      • W. Merz

      Pages 217-231

   5. The Growth of Vapor Deposited Amorphous Zr65Al7.5Cu27.5-Alloy Films: Experiment and Simulation

      • S. G. Mayr, M. Moske, K. Samwer

      Pages 233-250

   6. Modelling, Simulation, and Control of Electrorheological Fluid Devices

      • R. H. W. Hoppe, G. Mazurkevitch, U. Rettig, O. von Stryk

      Pages 251-276

When the DFG (Deutsche Forschungsgemeinschaft) launched its collabora­ tive research centre or SFB (Sonderforschungsbereich) 438 "Mathematical Modelling, Simulation, and Verification in Material-Oriented Processes and Intelligent Systems" in July 1997 at the Technische Vniversitat Munchen and at the Vniversitat Augsburg, southern Bavaria got its second nucleus of the still young discipline scientific computing. Whereas the first and older one, FORTWIHR, the Bavarian Consortium for High Performance Scientific Com­ puting, had put its main emphasis on the supercomputing aspect, this new initiative was now expected to focus on the mathematical part. Consequently, throughout all of the five main research topics (A) adaptive materials and thin layers, (B) adaptive materials in medicine, (C) robotics, aeronautics, and automobile technology, (D) microstructured devices and systems, and (E) transport processes in flows, mathematical aspects play a predominant role. The formation of the SFB 438 and its scientific program are inextricably linked with the name of Karl-Heinz Hoffmann. As full professor for applied mathematics in Augsburg (1981-1991) and in Munchen (since 1992) and as dean of the faculty of mathematics at the TV Munchen, he was the driv­ ing force of this fascinating, but not always easy-to-realize idea of bringing together scientists from mathematics, physics, engineering, informatics, and medicine for joint efforts in modern applied mathematics. However, scarcely work had begun when the successful captain was called to take command on a bigger boat.

• Transformation
• linear algebra
• model
• modeling
• scientific computing
• simulation
• verification

• Institut für Informatik, Technische Universität München, München, Germany

  Hans-Joachim Bungartz, Christoph Zenger

• Institut für Mathematik, Universität Augsburg, Augsburg, Germany

  Ronald H. W. Hoppe

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