Publications in Scientific Journals:

1. M. Hinze, R. Pinnau. A Second Order Approach to Optimal Semiconductor Design.
   To appear in JOTA (2006).
   

2. R. Pinnau, A. Schulze. Newton's Method for Optimal Temperature-Tracking of Glass Cooling Processes.
   To appear in IPSE (2006).
   

3. M. Hinze, R. Pinnau. Mathematical Tools in Optimal Semiconductor Design.
   To appear in TTSP (2006).
   

4. S. Pereverzyev, R. Pinnau, N. Siedow. Regularized Fixed Point Iterations for Nonlinear Inverse Problems.
   Inverse Problems 22, 1-22 (2006).
   

5. M. Seaid, A. Klar, R. Pinnau. Numerical Solvers for Radiation and Conduction in High Temperature Gas Flows.
   Flow, Turbulence and Combustion 75, 173-190 (2005).
   

6. M. Schäfer, M. Frank, R. Pinnau. A Hierarchy of Approximations to the Radiative Heat Transfer Equations: Modelling, Analysis and Simulation.
   Math. Mod. Meth. Appl. Sci. 15, 643-665 (2005).
   

7. R. Pinnau. Uniform Convergence of an Exponentially Fitted Scheme for the Quantum Drift Diffusion Model.
   SIAM J. Numer. Anal. 42, No. 4, 1648-1668 (2004).
   

8. M. Seaid, M. Frank , A. Klar, R. Pinnau, G. Thömmes. Efficient Numerical Methods for Radiation in Gas Turbines.
   J. Comput. Appl. Math. 170 (1), 217-239 (2004).
   

9. R. Pinnau, G. Thömmes. Optimal Boundary Control of Glass Cooling Processes.
   Math. Methods Appl. Sci. 27 (11), 1261-1281 (2004)
   

10. M. Burger , R. Pinnau. Fast optimal design of semiconductor devices.
    SIAM J. Appl. Math. 64, No. 1, 108-126 (2003).
    

11. A. Jüngel , R. Pinnau. Convergent Semidiscretization of a Nonlinear Fourth Order Parabolic System.
    M2AN 37, No. 2, 277-289 (2003).
    

12. R. Pinnau. Numerical Study of the Quantum Euler Poisson Model.
    Appl. Math. Lett. 16, 939-944 (2003).
    

13. P. Amster, R. Pinnau. Convergent Iterative Schemes for a Non-isentropic Hydrodynamic Model for Semicondcutors.
    Z. Angew. Math. Mech. 82, No. 8, 559-566 (2002).
    

14. G. Thömmes, R. Pinnau, M. Seaid, Th. Götz, A. Klar. Numerical Methods and Optimal Control for Glass Cooling Processes.
    Transp. Theory Stat. Phys. 31, No. 4-6, 513-529 (2002).
    

15. M. Hinze, R. Pinnau. An Optimal Control Approach to Semiconductor Design.
    Math. Mod. Meth. Appl. Sc. 12, No. 1, 89-107 (2002).
    

16. R. Pinnau. A Review on the Quantum Drift Diffusion Model.
    Transp. Theory Stat. Phys. 31, No. 4-6, 367-395 (2002).
    

17. R. Pinnau. Numerical Approximation of the Transient Quantum Drift Diffusion Model.
    Nonlin. Anal. 47, 5849-5860 (2001).
    

18. A. Jüngel, R. Pinnau. A Positivity-preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System.
    SIAM J. Numer. Anal. 39, No. 2, 385-406 (2001).
    

19. A. Jüngel, R. Pinnau. Global Non-Negative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems.
    SIAM J. Math. Anal. 32, No. 4, 760-777 (2000).
    

20. R. Pinnau. The Linearized Transient Quantum Drift Diffusion Model - Stability of Stationary States.
    Z. Angew. Math. Mech. 80, No. 5, 327-344 (2000).
    

21. R. Pinnau, A. Unterreiter. The Stationary Current-Voltage Characteristics of the Quantum Drift Diffusion Model.
    SIAM J. Numer. Anal. 37, No. 1, 211-245 (1999).
    

22. R. Pinnau. A Note on Boundary Conditions for Quantum Hydrodynamic Equations.
    Appl. Math. Lett. 12, 77-82 (1999).
    

Refereed Proceedings:

23. S. Pereverzyev, R. Pinnau, N. Siedow. Initial Temperature Reconstruction for a Nonlinear Heat Equation: Application to Radiative Heat Transfer.
    D. Lesnic (ed.), Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge. Vol. III, ch. P02, pp.1-8 (2005).
    

24. M. Seaid, A. Klar, R. Pinnau. Numerical Solvers for Radiation and Conduction in High Temperature Gas Flows .
    Proc. Intl. Workshop on Trends in Nuemrical and Physical Modelling of Turbulent Processes in Gas Turbine Combustors, 167-172 (2004).
    

25. M. Frank , A. Klar, R. Pinnau, M. Seaid, G. Thömmes. A Comparative Numerical Study of Approximations to the Radiative Heat Transfer Equation.
    Progress in Computational Fluid Dynamics 4, 191-197 (2004).
    

26. R. Pinnau. A Scharfetter-Gummel Type Discretization of the Quantum Drift Diffusion Model.
    Proc. Appl. Math. Mech. 2, 37-40 (2003).
    

27. M. Hinze, R. Pinnau. Optimal Control of the Drift Diffusion Model for Semiconductor Devices.
    Int. Ser. Num. Math. 139, 95-106, Birkhäuser (2001).
    

Preprints:

28. M. Hinze, R. Pinnau. Multiple Solutions to a Semiconductor Design Problem.
    Preprint Nr. MATH-NM-14-2003, TU Dresden 2003 (Submitted).
    

29. Th. Götz, R. Pinnau, J. Struckmeier. Optimal Control of Crystallization Processes.
    TU Kaiserslautern 2005 (Submitted).
    

30. M. Frank, R. Pinnau. Existence and Bounds for the Half Moment Entropy Approximation to Radiative Transfer.
    TU Kaiserslautern 2005 (Submitted).
    

31. R. Pinnau. Analysis of Optimal Boundary Control for Radiative Heat Transfer Modelled by the SP_1-System.
    TU Kaiserslautern 2005 (Submitted).
    

32. H. Lang, K. Dressler, R. Pinnau. A multiaxial stress-strain correction scheme.
    AGTM Report 263, TU Kaiserslautern 2006 (Submitted).
    

33. H. Lang, K. Dressler, R. Pinnau. Parameter optimization for a stress-strain correction scheme.
    AGTM Report 264, TU Kaiserslautern 2006 (Submitted).
    

34. M. Burger, M. Hinze, R. Pinnau. Optimization Models for Semiconductor Dopant Profiling.
    JKU Linz 2006 (Submitted).