1. D. Moualeu-Ngangue, S. Röblitz, R. Ehrig, P. Deuflhard: Parameter Identification in a Tuberculosis Model for Cameroon. PLoS ONE 10(4):e0120607. doi:10.1371/journal.pone.0120607, 2015

  2. D. Moualeu, M. Weiser, R. Ehrig, P. Deuflhard: Optimal control for a tuberculosis model with undetected cases in Cameroon. Comm. Nonlin. Sci. Num. Sim. 20 (3): 986-1003, 2015.

  3. M. Weiser, B. Erdmann, P. Deuflhard: On Efficiency and Accuracy in Cardioelectric Simulation. In (eds.): E. Wilson, A. Fitt, H. Ockendon, J. Norbury. Progress in Industrial Mathematics at ECMI 2008. pp. 371-376, Springer, 2010.

  4. C. Klapproth, A. Schiela, P. Deuflhard: Fast Algorithm for the Simulation of Human Knee Joint Motion. In: C. Hellmich, M.H. Hamza, D. Simsik (eds.), Biomedical Engineering, Proc. BioMed 2012, Innsbruck, Austria. Track 764-176, Special Session: Multi-Scale Biomechanics and Mechanobiology, ACTA Press (2012).

  5. T. Dierkes, S. Röblitz, M. Wade, P. Deuflhard: Parameter identification in large kinetic networks with BioPARKIN. arXiv:1303.4928 [cs.MS].

  6. O. Sander. C. Klapproth, J. Youett, R. Kornhuber, P. Deuflhard: Towards an Efficient Numerical Simulation of Complex 3D Knee Joint Motion. Computing and Visualization in Science, 16(3), pp. 119-138. ISSN 1432-9360.

  7. S. Röblitz, C. Stötzel, P. Deuflhard, H.M. Jones, D.-O. Azulay, P. van der Graaf, S.W. Martin: A mathematical model of the human menstrual cycle for the administration of GnRH analogues. Journal of Theoretical Biology 321, pp. 8-27, Elsevier (2013).

  8. P. Deuflhard, A. Schiela, M. Weiser: Mathematical Cancer Therapy Planning in Deep Regional Hyperthermia. Acta Numerica, Vol. 21, pp. 307-378, Cambridge University Press (2012).

  9. P. Deuflhard, S. Röblitz, C. Stötzel: Mathematical Modelling, Simulation, and Parameter Identification Exemplified at the Bovine Estrous Cycle. In (Extended Abstracts): M. Danhof, P.H. van der Graaf and N.H.G. Holford (eds.), Advances in Simultaneous Pharmacokinetic/Pharmacodynamic Modeling. Proceedings of the 6th International Symposium on Measurement and Kinetics of In Vivo Drug Effects, Noordwijkerhout, The Netherlands, pp. 35-38 (2010).

  10. C. Klapproth, A. Schiela, P. Deuflhard: Adaptive timestep control for the contact-stabilized Newmark method. Numerische Mathematik, Vol. 119, Issue 1, pp. 49-81 (2011).

  11. H.M.T. Boer, C. Stötzel, S. Röblitz, P. Deuflhard, R.E. Veerkamp, H. Woelders: A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions. Journal of Theoretical Biology, Vol. 278, Issue 1, pp. 20-31 (2011).

  12. M. Hao, P. Deuflhard, Z. Sun, M. Fujii: Model-Free Uncalibrated Visual Servoing Using Recursive Least Squares. Journal of Computers, Vol. 3, No. 11, pp. 42-50, Academy Publisher (2008).

  13. C. Klapproth, A. Schiela, P. Deuflhard: Consistency results on Newmark methods for dynamical contact problems. Numerische Mathematik, Vol. 116, Issue 1, pp. 65-94 (2010).

  14. C. Klapproth, P. Deuflhard, A. Schiela: A Perturbation Result for Dynamical Contact Problems. Numer. Math: Theory, Methods, Applications 2, pp. 237-257 (2009).

  15. P. Deuflhard: Was ist ein schönes Gesicht? Auf der Suche nach Kriterien. In (eds): R. Franceschini, W. Haubrichs, W. Klein, R. Schnell. "Ist Schönheit messbar?" Zeitschrift für Literaturwissenschaft und Linguistik (LiLi), Jahrgang 38, Heft 152, pp. 42-71, Verlag J.B. Metzler (2008).

  16. S. Zachow, M. Weiser, P. Deuflhard: Modellgestützte Operationsplanung in der Kopfchirurgie. In: Lemke et al. (eds.), Health Academy 01/2008, pp. 75-91.

  17. I. Reinecke, P. Deuflhard: Model Development and Decomposition in Physiology. In: Andriani Daskalaki (ed.), Handbook of Research on Systems Biology Applications in Medicine, Vol. 2, pp. 759-797 (2008).

  18. P. Deuflhard, U. Nowak, B. Lutz-Westphal: Bessel'scher Irrgarten - Rundungsfehler müssen nicht klein sein. DMV Jahresbericht, B.G. Teubner, JB 110, pp. 177-193, Heft 4, Band (2008).

  19. P. Deuflhard, W. Huisinga, T. Jahnke, M. Wulkow: Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation. SIAM J. Sci. Comput. 30, pp. 2990-3011 (2008).

  20. A. Wix, K. Schaber, O. Ofenloch, R. Ehrig, P. Deuflhard: Simulation of Aerosol Formation in Gas-Liquid Contact Devices. Chem. Eng. Comm. 194, pp. 565-577 (2007).

  21. P. Deuflhard, B. Erdmann, R. Roitzsch, G.T. Lines: Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics. J. Computing and Visualization in Science (CVS), Springer Verlag, 12/5, pp. 201-205 (2009).

  22. M. Weber, S. Kube, L. Walter, P. Deuflhard: Stable Computation of Probability Densities of Metastable Dynamical Systems. SIAM J. Multiscale Model. Simul. 6(2), pp. 396-416 (2007).

  23. P. Deuflhard, R. Krause, S. Ertel: A Contact-Stabilized Newmark Method for Dynamical Contact Problems. International Journal for Numerical Methods in Engineering, Vol. 73, Issue 9, pp. 1274-1290 (2007).

  24. I. Reinecke, P. Deuflhard: A Complex Mathematical Model of the Human Menstrual Cycle. Journal of Theoretical Biology 247, pp. 303-330 (2007).

  25. R. Kornhuber, R. Krause, O. Sander, P. Deuflhard, S. Ertel: A Monotone Multigrid Solver for Two Body Contact Problems in Biomechanics. Computing and Visualization in Science (CVS), 11/1, pp. 3-15 (2008).

  26. P. Deuflhard, M. Weiser, S. Zachow: Mathematics in Facial Surgery. Notices of the AMS, Volume 53, No. 9, pp. 2-6 (2006).

  27. S. Zachow, H.-C. Hege, P. Deuflhard: Computer Assisted Planning in Cranio-Maxillofacial Surgery. Journal of Computing and Information Technology - CIT 14, 1, pp. 53-64 (2006).

  28. K. Schaber, O. Ofenloch, R. Ehrig, P. Deuflhard: Aerosolbildung in Gas/Flüssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation. Chemie Ingenieur Technik 76 (9), pp. 1358-1359 (2004).

  29. P. Colli Franzone, P. Deuflhard, B. Erdmann, J. Lang, L.F. Pavarino: Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology. SIAM J. Sci. Comput., Vol. 28, No. 3, pp. 942-962, SIAM (2006).

  30. S. Zachow, M. Weiser, H.-C. Hege, P. Deuflhard: Soft Tissue Prediction in Computer Assisted Maxillofacial Surgery Planning. In: Payan, Y. (ed.), Biomechanics Applied to Computer Assisted Surgery, ISBN: 81-308-0031-4, Chapter 17, pp. 277-298, Research Signpost Publisher (2005).

  31. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: On Constitutive Modeling of Soft Tissue for the Long-Term Prediction of Cranio-Maxillofacial Surgery Outcome. Computer Assisted Radiology and Surgery (CARS), London, UK, pp. 343-348 (2003).

  32. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Realistic prediction of individual facial emotion expressions for craniofacial surgery simulations. In: Proc. SPIE Medical Imaging, San Diego, CA, USA, Vol. 5029, pp. 520-527 (2003).

  33. S. Zachow, H.-C. Hege, P. Deuflhard: Computergestützte Operationsplanung in der Gesichtschirurgie. Proc. VDE Kongress 2004 - Innovation für Menschen, Band 2, Fachtagungsberichte DGBMT - GMM - GMA, pp. 53-58 (2004).

  34. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Biomechanical modeling of individual facial emotion expressions. In: Proc. Visualization, Imaging, and Image Processing (VIIP), Malaga, Spain, pp. 7-11 (2002).

  35. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Anatomy- and physics-based facial animation for craniofacial surgery simulations. Med Biol Eng Comput., vol. 42(2), pp. 167-170 (2004).

  36. H. Haberl, B. Hell, M. Zöckler, S. Zachow, H. Lamecker, A. Sarrafzadeh, B. Riecke, W.R. Lanksch, P. Deuflhard, J. Bier, M. Brock: Technical Aspects and Results of Surgery for Craniosynostosis. Zentralblatt für Neurochirurgie. May 65(2), pp. 65-74 (2004).

  37. M. Weiser, P. Deuflhard, B. Erdmann: Affine conjugate adaptive newton methods for nonlinear elastomechanics. Opt. Meth. Softw. 22 (3): 413-431, 2007.

  38. H. Lamecker, M. Seebass, H.-C. Hege, P. Deuflhard: A 3D Statistical Shape Model of the Pelvic Bone for Segmentation. In: J.M. Fitzpatrick, M. Sonka (eds), Medical Imaging 2004: Image Processing, Proc. SPIE - Vol. 5370, pp. 1341-1351 (2004).

  39. H. Lamecker, M. Seebass, T. Lange, H.-C. Hege, P. Deuflhard: Visualization of the Variability of 3D Statistical Shape Models by Animation. In: Proc. MMVR, pp. 190-196 (2004).

  40. J. Nadobny, R. Pontalti, D. Sullivan, W. Wlodarczyk, A. Vaccari, P. Deuflhard, P. Wust: A Thin-Rod Approximation for the Improved Modeling of Bare and Insulated Cylindrical Antennas Using the FDTD Method. IEEE Transactions on Antennas and Propagation, Vol. 51, No. 8, pp.1780-1796 (2003).

  41. J. Nadobny, D. Sullivan, W. Wlodarczyk, P. Deuflhard, P. Wust: A 3-D Tensor FDTD-Formulation for Treatment of Sloped Interfaces in Electrically Inhomogeneous Media. IEEE Transactions on Antennas and Propagation, Vol. 51, No. 8, pp.1760-1770 (2003).

  42. C. Kober, R. Sader, H.F. Zeilhofer, P. Deuflhard: An Individual Anisotropic and Inhomogeneous Material Description of the Human Mandible. In: V. Capasso (ed.), Mathematical Modelling & Computing in Biology and Medicine, ESTMB, Grenoble, pp. 103-109 (2003).

  43. P. Deuflhard, Ch. Schütte: Molecular Conformation Dynamics and Computational Drug Design. In: J.M. Hill, R. Moore (eds), Applied Mathematics Entering the 21st Century, Invited Talks from the ICIAM 2003 Congress, Sydney, Australia, pp. 91-119 (2004).

  44. P. Deuflhard, M. Weber: Robust Perron Cluster Analysis in Conformation Dynamics. In: M. Dellnitz, S. Kirkland, M. Neumann and C. Schütte (eds.), Linear Algebra and Its Applications: Special Issue on Matrices and Mathematical Biology, Vol 398C pp 161-184 (2004).

  45. M. Weiser, A. Schiela, P. Deuflhard: Asymptotic Mesh Independence of Newton's Method Revisited. SIAM J. Numer. Anal. 42 (5), pp. 1830-1845 (2005).

  46. R. Hochmuth, P. Deuflhard: Multiscale Analysis for the Bio-Heat-Transfer Equation — The Nonisolated Case. Mathematical Models and Methods in Applied Sciences (M³AS), Vol. 14, No. 11, pp. 1621-1634 (2004).

  47. P. Deuflhard: A Comparison of Related Concepts in Computational Chemistry and Mathematics. In: Chemisty and Mathematics: Two Scientific Languages of the 21st Century. Nova Acta Leopoldina NF Bd. 88, Nr. 330, pp. 51-66 (2003).

  48. B. Erdmann, C. Kober, J. Lang, P, Deuflhard, H.-F. Zeilhofer, R. Sader: Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers. In: W. Alt, M. Hermann (eds.), Berichte des IZWR - Interdisziplinäres Zentrum für Wissenschaftliches Rechnen, Band 1, pp. 49-57 (2003).

  49. G. Sreenivasa, J. Gellermann, B. Rau, J. Nadobny, P. Schlag, P. Deuflhard, R. Felix, P. Wust: Clinical Use of the Hyperthermia Treatment Planning System Hyperplan to Predict Effectiveness and Toxicity. Int. J. Oncology Biol. Phys., Vol. 55, No. 2, pp. 407-419 (2003).

  50. J. Nadobny, H. Fähling, M. J. Hagmann, P. F. Turner, W. Wlodarczyk, J. M. Gellermann, P. Deuflhard, P. Wust: Experimental and Numerical Investigation of Feed-Point 3-D Hyperthermia Applicator Using Different FDTD Models of Feed Networks. IEEE Transactions on Biomedical Engineering, Vol. 49, No. 11, pp.1348-1359 (2002).

  51. P. Deuflhard, U. Nowak, M. Weiser: Affine Invariant Adaptive Newton Codes for Discretized PDEs. ZIB-Report 02-33 (October 2002). In: P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Series Computational Mathematics 35, Springer (2004).

  52. P. Deuflhard, R. Hochmuth: Multiscale Analysis of Thermoregulation in the Human Microvascular System. Math. Meth. in the Appl. Sci. 27, pp. 971-989, Wiley Verlag (2004).

  53. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Shape-based modeling approach for the estimation of individual facial mimics in craniofacial surgery planning. In: Seong K. Mun (ed.), Proc. SPIE Medical Imaging 2002: Visualization, Image-Guided Procedures, Vol. 4681, pp. 242-248 (2002).

  54. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Adaptive nonlinear elastic FEM for realistic soft tissue prediction in craniofacial surgery simulations. In: Seong K. Mun (ed.), Proc. SPIE Medical Imaging 2002: Visualization, Image-Guided Procedures, Vol. 4681, pp. 1-8 (2002).

  55. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Biomechanisches Modell zur Abschätzung der individuellen Gesichtsmimik. In: M. Meiler, D. Saupe, F. Krugel, H. Handels, T. Lehmann (eds.), Proc. Workshop "Bildverarbeitung für die Medizin" (BVM), Leipzig, Germany, Springer-Verlag, pp. 25-28 (2002).

  56. S. Zachow, E. Gladilin, H.-C. Hege, P. Deuflhard: Towards Patient Specific, Anatomy Based Simulation of Facial Mimics for Surgical Nerve Rehabilitation. In: H.U. Lemker et al. (eds.), Computer Assisted Radiology and Surgery (CARS), Springer-Verlag, pp. 3-6 (2002).

  57. P. Deuflhard: From Molecular Dynamics to Conformation Dynamics in Drug Design. In: M. Kirkilionis, S. Krömker, R. Rannacher, F. Toni (eds), Trends in Nonlinear Analysis, Springer-Verlag, pp. 269-288 (2003).

  58. P. Deuflhard: Adaptive Pseudo-transient Continuation for Nonlinear Steady State Problems. Konrad-Zuse-Zentrum Berlin. ZIB-Report 02-14 (March 2002). In: P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Series Computational Mathematics 35, Springer (2004).

  59. K. Schaber, J. Koerber, O. Ofenloch, R. Ehrig, P, Deuflhard: Aerosol Formation in Gas-Liquid Contact Devices- Nucleation, Growth and Particle Dynamics. Chem.Eng.Sci. 57, pp. 4345-4356 (2002).

  60. R. Ehrig, O. Ofenloch, K. Schaber, P, Deuflhard: Modelling and Simulation of Aerosol Formation by Heterogeneous Nucleation in Gas-Liquid Contact Devices. Chem.Eng.Sci. 57(7), pp. 1151-1163 (2002).

  61. B. Erdmann, C. Kober, J. Lang, P, Deuflhard, H.-F. Zeilhofer, R. Sader: Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible. In (CD): Procs 9th Workshop "The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields", Ulm, Germany(2001).

  62. M. Weiser, P. Deuflhard: Inexact Central Path Following Algorithms for Optimal Control Problems. SIAM J. Control Opt. 46 (3), pp. 792-815 (2007).

  63. E. Gladilin, S. Zachow, P. Deuflhard, H.C. Hege: FE-based Heuristic Approach for the Estimation of Person-Specific Facial Mimics. In Proc. of 5-th Int. Symp. on Computer Methods in Biomechanics and Biomedical Engineering, Rome, Italy, 2001.

  64. P. Wust, H. Fähling, W. Wlodarczyk, M. Seebass, J. Gellermann, P, Deuflhard, J. Nadobny,: Antenna arrays in the SIGMA-eye applicator: Interactions and transforming networks. Med. Phys. 28 (8), pp. 1793-1805 (2001).

  65. E. Gladilin, S. Zachow, P. Deuflhard, H.C. Hege: Towards a Realistic Simulation of Individual Facial Mimics. Vision, Modeling and Visualisation (VMV), pp. 129-133 (2001).

  66. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Validierung eines linear elastischen Modells für die Weichgewebesimulation in der Mund-Kiefer-Gesichtschirurgie. Bildverarbeitung für die Medizin (BVM), Lübeck, Germany, pp. 57-61 (2001).

  67. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: A Biomechanical Model for Soft Tissue Simulation in Craniofacial Surgery. Medical Imaging and Augmented Reality (MIAR), Hong Kong, China, pp. 137-141 (2001).

  68. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Virtual Fibers: A Robust Approach for Muscle Simulation. IX Mediterranean Conference on Medical and Biological Engineering and Computing (MEDICON), Pula, Croatia, pp. 961-964 (2001).

  69. J. Nadobny, W. Wlodarczyk, P, Deuflhard, G. Mönich, P. Wust: Numerical and Experimental Investigations of Different Antenna Types for Deep Body Hyperthermia. In: M.A. Stuchly, D.G. Shannon (eds.), Proc. 2001 URSI International Symposium on electromagnetic Theory, pp. 473-475 (2001).

  70. A. Fischer, Ch. Schütte, P. Deuflhard, F. Cordes: Hierarchical Uncoupling-Coupling of Metastable Conformations. In: T.Schlick and H.H.Gan (eds.), Computational Methods for Macromolecules: Challenges and Applications. Proceedings of the 3rd International Workshop on Methods for Macromolecular Modeling, New York, 2000, Lecture Notes in Computational Science and Engineering (LNCSE), Springer Verlag, Vol. 24, pp. 235-259 (2002).

  71. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Validation of a Linear Elastic Model for Soft Tissue Prediction in Craniofacial Surgery. SPIE Medical Imaging, San Diego, pp. 27-35 (2001).

  72. H.-F. Zeilhofer, S. Zachow, J.D. Fairlex, R. Sader, P. Deuflhard: Treatment Planning and Simulation in Craniofacial Surgery with Virtual Reality Techiques. Journal of Cranio-Maxillofacial Surgery 29 (Suppl. 1), p. 82 (2000).

  73. T. Galliat, P. Deuflhard, R. Roitzsch, F. Cordes: Automatic Identification of Metastable Conformations via Self-Organized Neural Networks. In: T.Schlick and H.H.Gan (eds.), Computational Methods for Macromolecules: Challenges and Applications. Proceedings of the 3rd International Workshop on Methods for Macromolecular Modeling, New York, 2000, Lecture Notes in Computational Science and Engineering (LNCSE), Springer Verlag Vol. 24, pp. 260-285, (2002).

  74. F. Schmidt, T. Friese, L. Zschiedrich, P. Deuflhard: Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design. In: W. Jäger, H.-J. Krebs (eds.), Mathematics. Key Technology for the Future, Springer, pp. 279-292 (2003).

  75. P. Deuflhard, H.-C. Hege, M. Seebass: Progress Towards a Combined MRI/Hyperthermia System. In W. W. Grönemeyer (ed.), Proc. Second Int. Congress HIGH CARE 2000, Bochum, Feb. 2000.

  76. S. Zachow, E. Gladiline, H.-C. Hege, P, Deuflhard: Finite-Element Simulation for Soft Tissue Prediction. In: Lemke, H.U. et al (eds.), Computer Assisted Radiology and Surgery (CARS), Elsevier Science B.V., pp. 23-28 (2000).

  77. P. Wust, J. Nadobny, M. Seebass, D. Stalling, J. Gellermann, H.-C. Hege, P, Deuflhard, R. Felix: Influence of patient models and numerical methods on predicted power deposition patterns. Int. J. Hyperthermia, 1999, vol. 15. no. 6, 519-540 (1999).

  78. T. Galliat, W. Huisinga, P. Deuflhard: Self-Organizing Maps Combined with Eigenmode Analysis for Automated Cluster Identification. Konrad-Zuse-Zentrum Berlin, Preprint SC 99-38. In: H. Bothe, R. Rojas (eds.), Neural Computation, ICSC Academic Press, pp. 227-232 (2000).

  79. P. Deuflhard: Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs. Computational Mathematics Driven by Industrial Problems. Lecture Notes in Mathematics 1739, Springer-Verlag, pp. 69-125 (2000).

  80. W. Wlodarczyk, J. Nadobny, P. Wust, G. Mönich, P. Deuflhard, R. Felix: Systematic design of antennas for cylindrical 3D phased array hyperthermia applicator. Proc. IEEE Antennas Propagat. Soc. Intern. Symposium, July 11-16, 1999, Orlando, FL, USA, pp. 1004-1007 (1999).

  81. Ch. Schütte, W. Huisinga, P. Deuflhard: Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems. In: B. Fieder (ed.), Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Springer, pp. 191-223 (2001).

  82. R. Ehrig, U, Nowak, L. Oeverdieck, P. Deuflhard: Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems. In: H.-J. Bungartz, F. Durst, C. Zenger (eds.), High Performance Scientific and Engineering Computing. Lecture Notes in Computational Science and Engineering. Springer, Vol 8, pp. 233-244 (1999).

  83. D. Braess, P. Deuflhard, K. Lipnikov: A Subspace Cascadic Multigrid Method for Mortar Elements. Computing 69, Springer-Verlag, pp. 205-225 (2002).

  84. Ch. Schütte, A. Fischer, W. Huisinga, P. Deuflhard: A Direct Approach to Conformational Dynamics based on Hybrid Monte Carlo. J. Comput. Phys., Special Issue Comp. Biophysics, Academic Press, Vol. 151, pp. 146-169 (1999).

  85. J. Koerber, K. Schaber, R. Ehrig, P. Deuflhard: Modelling and simulation of aerosol formation in absorption processes. J. Aerosol Sci. 29, pp. 579-580 (1998).

  86. P. Wust, J. Gellermann, J. Beier, S. Wegner, W. Tilly, J. Tröger, D. Stalling, H. Oswald, H.-C. Hege, P. Deuflhard, R. Felix: Evaluation of segmentation algorithms for a generation of patient models in radiofrequency hyperthermia. Phys. Med. Biol. 43, IOP Publishing Ltd., pp. 3295-3307 (1998).

  87. J. Nadobny, D. Sullivan, P. Wust, M. Seebass, P. Deuflhard, R. Felix: A High Resolution Interpretation at Arbitrary Interfaces for the FDTD Method. IEEE Transactions on Microwave Theory and Techniques, Vol. 46, No. 11, pp. 1759-1766 (1998).

  88. P. Deuflhard, M. Weiser, M. Seebass: A New Nonlinear Elliptic Multilevel FEM in Clinical Cancer Therapy Planning. Comput Visual Sci.3, pp. 115-120 (2000).

  89. P. Deuflhard, M. Seebass: Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia. In: Choi-Hong Lai, Peter E. Bjørstad, Mark Cross and Olof O. Widlund (eds.), Procs. Eleventh International Conference on Domain Decomposition Methods, DDM-org Press, Bergen, pp. 403-414 (1999).

  90. T. Friese, P. Deuflhard, F. Schmidt: A Multigrid Method for the Complex Helmholtz Eigenvalue Problem. In: Choi-Hong Lai, Peter E. Bjørstad, Mark Cross and Olof O. Widlund (eds.), Procs. Eleventh International Conference on Domain Decomposition Methods, DDM-org Press, Bergen, pp. 18-26 (1999).

  91. R. Ehrig, U. Nowak, P. Deuflhard: Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms. In: V.G. Khoroshevsky (ed.), Procs. 16th International Workshop on Distributed Data Processing, Novosibirsk, Russia, pp. 1-6 (1998).

  92. P. Deuflhard, W. Huisinga, A. Fischer, Ch. Schütte: Identification of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains. Lin. Alg. Appl. 315, pp. 39-59 (2000).

  93. P. Deuflhard, H. Engl, O. Scherzer: A Convergence Analysis of Iterative Methods for the Solution of Nonlinear Ill-posed Problems Under Affinely Invariant Conditions. Inverse Problems 14, pp. 1081-1106 (1998).

  94. R. Beck, P. Deuflhard, R. Hiptmair, B. Wohlmuth, R.H.W. Hoppe: Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations. Surv. Math. Ind., vol. 8, pp. 271-312, Springer-Verlag (1999).

  95. R. Ehrig, U. Nowak, P. Deuflhard: Massively Parallel Linearly-Implicit Extrapolation Algorithms as a Powerful Tool in Process Simulation. In: E.H. D Hollander, G.R. Joubert, F.J. Peters, U. Trottenberg (eds.), Advances in Parallel Computing, Vol. 12: Parallel Computing: Fundamentals, Applications and New Directions, Elsevier, pp.517-524 (1998).

  96. P. Deuflhard, K. Lipnikov: Domain Decomposition with Subdomain CCG for Material Jump Elliptic Problems. In: East-West J. Numer. Math., Vol. 6, No. 2, pp. 81-100 (1998).

  97. P. Deuflhard, M. Dellnitz, O. Junge, Ch. Schütte: Computation of Essential Molecular Dynamics by Subdivision Techniques. In: P. Deuflhard, J. Hermans, B. Leimkuhler, A.E. Mark, S. Reich, and R.D. Skeel (eds.), Computational Molecular Dynamics: Challenges, Methods, Ideas. Lecture Notes in Computational Science and Engineering, Vol. 4, Springer-Verlag, pp. 98-115 (1998).

  98. P. Deuflhard, M.Weiser: Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems. In: W. Hackbusch, G. Wittum (eds.), Multigrid Methods, Lecture Notes in Computational Science and Engineering 3, Springer-Verlag, pp. 71-89 (1998).

  99. J. Gellermann, P. Wust, D. Stalling, M. Sebass, J. Nadobny, R. Beck, H.-C. Hege, P. Deuflhard, R. Felix: Clinical Evaluation and Verification of the Hyperthermia Treatment Planning System HyperPlan. Int. J. Radiation Oncology Biol. Phys. Vol. 47, No. 4, pp. 1145-1156 (2000).

  100. P. Deuflhard, M. Seebass, D. Stalling. R. Beck, H.-C. Hege: Hyperthermia Treatment Planning in Clinical Cancer Therapy: Modelling, Simulation, and Visualization. Konrad-Zuse-Zentrum Berlin, Preprint SC 97-26. Plenary keynote talk, 15th IMACS World Congress 1997 on Scientific Computation, Modelling and Applied Mathematics. In: Achim Sydow (ed.), Vol. 3, Computational Physics, Chemistry and Biology. Wissenschaft und Technik Verlag, pp. 9-17 (1997).

  101. P. Wust, J. Nadobny, J. Gellermann, M. Seebass, D. Stalling, H.-C. Hege, P. Deuflhard, V. Budach, R. Felix: Patient Models and Algorithms for Hyperthermia Planning. In: Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997, p. 75 (1997).

  102. J. Nadobny, P. Wust, M. Seebass, D. Stalling, H.-C. Hege, P.Deuflhard, R. Felix: A Quantitative Comparison between the VSIE and the FDTD method using Electrically Equivalent Patient and Antenna Models. in: Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997, p. 145 (1997).

  103. J. Gellermann, P. Wust, D. Stalling, W. Tilly, J. Nadobny, M. Seebass, P. Deuflhard, R. Felix, V. Budach: First Clinical Experiences with the Hyperthermia Planning System HyperPlan. In: Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997, p. 79 (1997).

  104. R. Beck, P. Deuflhard, H.-Ch. Hege, M. Seebass, D. Stalling: Numerical Algorithms and Visualization in Medical Treament Planning. Konrad-Zuse-Zentrum Berlin. In: H.C. Hege, K. Polthier (eds), Visualization and Mathematics, Springer-Verlag, pp. 303-328 (1997).

  105. M. Seebass, D. Stalling, J. Nadobny, P. Wust, R. Felix, P. Deuflhard: Three-Dimensional Finite Element Mesh Generation for Numerical Simulations of Hyperthermia Treatments. In: C.Franconi, G. Arcangeli, R. Cavaliere (eds), Proc. 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996, Vol. 2, pp. 547-548 (1996).

  106. J. Nadobny, P.  Wust, W. Wlodarczyk, M. Seebass, P. Deuflhard, R. Felix: Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems. In: C. Franconi, G. Arcangeli, R. Cavaliere (eds), Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996, Vol. 2, pp. 549-551 (1996).

  107. R. Beck, H.-C. Hege, M. Seebass, P. Wust, P. Deuflhard, R. Felix: Adaptive finite element codes for numerical calculations in hyperthermia treatment planning. In: C. Franconi, G. Arcangeli, R. Cavaliere (eds), Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996, Vol. 2, pp. 515-517 (1996).

  108. D. Stalling, M. Seebass, H.-C. Hege, P. Wust, P. Deuflhard, R. Felix: HyperPlan - an integrated system for treatment planning in regional hyperthermia. In: C. Franconi, G. Arcangeli, R. Cavaliere (eds), Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996, Vol. 2, pp. 552-554 (1996).

  109. J. Nadobny, P. Wust, M. Seebass, P. Deuflhard, R. Felix: A Volume-Surface Integral Method for Solving Maxwell's Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids. IEEE Transactions on Microwave Theory and Techniques, Vol. 44, No. 4, pp. 543-554 (1996).

  110. P. Wust, M. Seebass, J. Nadobny, J. Deuflhard, G. Mönich, R. Felix: Simulation studies promote technological development of radiofrequency hyperthermia. Int. J. Hyperthermia, Vol. 12, No. 4, pp. 477-494 (1996).

  111. P. Deuflhard, T. Friese, F. Schmidt, R. März, H.-P. Nolting: Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips. In: K.-H. Hoffmann, W. Jäger, T. Lohmann, H. Schunk (eds.), Mathematik. Schlüsseltechnologie für die Zukunft, pp. 267-279, Springer (1996).

  112. F. Bornemann, P. Deuflhard: The Cascadic Multigrid Method for Elliptic Problems. Numer. Math. 75, Springer International, pp. 135-152 (1996).

  113. P. Deuflhard, M.Weiser: Local Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems. In: M-O. Bristeau, G. Etgen, W. Fitzigibbon, J-L. Lion, J. Periaux, M. Wheeler (eds.), Computational Science for the 21st Century, Tours, France. Wiley-Interscience-Europe, pp.129-138 (1997).

  114. P. Deuflhard, J. Heroth, U. Maas: Towards Dynamic Dimension Reduction in Reactive Flow Problems. In: Proc. 3rd Workshop on Modelling of Chemical Reaction Systems (CD-Version), Heidelberg (1996).

  115. P. Deuflhard, J. Heroth: Dynamic Dimension Reduction in ODE Models. In: F. Keil, W. Mackens, H. Voß, J. Werther (eds.), Scientific Computing in Chemical Engineering, Springer-Verlag, pp. 29-43 (1996).

  116. F. Bornemann, P. Deuflhard: Cascadic Multigrid Methods. In: R. Glowinski, J. Périaux, Z. Shi and O. Widlund (eds.), Domain Decomposition Methods in Sciences and Engineering, John Wiley & Sons Ltd. , pp. 205-212 (1996).

  117. J. Fröhlich, P. Deuflhard: An adaptive Galerkin method for the PDF transport equation of turbulent reactive flows. In: H. Neunzert (ed.), "Progress in Industrial Mathematics", Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94), Wiley & Teubner Publishers, pp. 176-184 (1996).

  118. P. Deuflhard, J. Lang, U. Nowak: Recent Progress in Dynamical Process Simulation. In: H. Neunzert (ed.), "Progress in Industrial Mathematics", Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94), Wiley & Teubner Publishers, pp. 122-137 (1996).

  119. P. Deuflhard: Computational Mathematics as Key Technology. In: A. Sydow (ed.), "Systems Analysis Modelling Simulation (SAMS)", Proc. IMACS Symposium on Systems Analysis and Simulation, Berlin, 26-30 June 1995, Gordon and Breach Science Publishers SA, Vol. 18-19, pp. 19-26 (1995).

  120. P. Deuflhard, U. Nowak, J. Weyer: Prognoserechnungen zur AIDS-Ausbreitung in der Bundesrepublik Deutschland. In: Bachem/Jünger/Schrader (eds.), Mathematik in der Praxis, Springer-Verlag, pp. 361-376 (1995).

  121. F. Schmidt, P. Deuflhard: Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel's Equation. Int. Journal of Computers Math. Applic., Pergamon Press, Vol. 29, No. 9 , pp. 53-76 (1995).

  122. P. Deuflhard, M. Wulkow: Simulationsverfahren für die Polymerchemie. In: Bachem/Jünger/Schrader (eds.), Mathematik in der Praxis, Springer-Verlag, pp. 117-136 (1995)

  123. J. Nadobny, P. Wust, M. Seebass, P. Deuflhard, R. Felix: The Use of the Volume-Surface Integral Equation Method (VSIE) for Antenna Problems. In: D. Simunic (ed.), Proc. COST 244 meeting on Reference Models for Bioelectromagnetic Test of Mobile Communication Systems, Roma, November 1994, pp. 67-74 (1995).

  124. C. Wulff, A. Hohmann, P. Deuflhard: Numerical Continuation of Periodic Orbits with Symmetry. Konrad-Zuse-Zentrum Berlin, Preprint SC 94-12 (1994). In: P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Series Computational Mathematics 35, Springer (2004).

  125. F. Schmidt, P. Deuflhard: Discrete transparent boundary conditions for Fresnel's equation. In: Procs. Integrated Photonics Research. San Francisco, California, USA, February 17-19, 1994. Optical Society of America, pp. 45-47 (1994).

  126. R. Schöpf, P. Deuflhard: OCCAL - a mixed symbolic-numeric Optimal Control CALculator. International Series of Numerical Mathematics, Birkhäuser Verlag Basel, Vol. 115, pp. 269-278 (1994).

  127. P. Deuflhard: Cascadic Conjugate Gradient Methods for Elliptic Partial Differential Equations. Algorithm and Numerical Results. In: D.E. Keyes, J. Xu (eds.), Domain Decomposition Methods in Scientific and Engineering Computing. AMS, Providence, vol. 180, pp. 29-42 (1994).

  128. P. Deuflhard, J. Ackermann: Adaptive Discrete Galerkin-Methods for Macromolecular Processes. In: H.P. Dikshit, C.A. Michelli (eds.), Advances in Computational Mathematics, World Scientific Publishing Co. Inc., pp. 59-72 (1994).

  129. P. Deuflhard: Stochastic Versus Deterministic Numerical ODE Integration. In: E. Platen (ed.), Proc. 1st Workshop on Stochastic Numerics, Berlin, pp. 16-20 (1992).

  130. P. Deuflhard, F. A. Potra: Asymptotic Mesh Independence of Newton-Galerkin Methods Via a Refined Mysovskii Theorem. SIAM J. Numer. Anal., 29, pp. 1395-1412 (1992).

  131. M. Wulkow, P. Deuflhard: Towards an Efficient Computational Treatment of Heterogeneous Polymer Reactions. In: S. O. Fatunla (ed.), Computational Ordinary Differential Equations. University Press, Nigeria, pp. 287-306 (1992).

  132. P. Deuflhard, F. A. Potra: A Refined Gauss-Newton Mysovskii Theorem. Konrad-Zuse-Zentrum Berlin, Preprint SC 91-4 (1991). Erschienen in:

  133. P. Deuflhard: Global Inexact Newton Methods for Very Large Scale Nonlinear Problems. IMPACT Comp. Sci. Eng.3, pp. 366-393 (1991).

  134. P. Deuflhard, R. Freund, A. Walter: Fast Secant Methods for the Iterative Solution of Large Nonsymmetric Linear Systems. IMPACT Comp. Sci. Eng.2, pp. 244-276 (1990).

  135. P. Wust, J. Nadobny, R. Felix, P. Deuflhard, A. Louis, W. John: Strategies for Optimized Application of Annular-Phased-Array Systems in Clinical Hyperthermia. Int. J. Hyperthermia 7, pp. 157-173 (1991).

  136. P. Deuflhard, U. Nowak, M. Wulkow: Recent Developments in Chemical Computing. Computers in Chemical Engineering 14, pp. 1249-1258 (1990).

  137. P. Deuflhard: Uniqueness Theorems for Stiff ODE Initial Value Problems. In: D.F. Griffiths and G. A. Watson (eds.), Numerical analysis 1989, Proceedings 13th Biennial Conference on Numerical Analysis 1989, Dundee, Longman Scientific & Technical, Harlow, Essex, UK, 74-205, (1990).

  138. P. Wust , J. Nadobny, R. Felix, P. Deuflhard, W. John, A. Louis: Numerical Approaches to Treatment Planning in Deep RF-Hyperthermia. Strahlentherapie in der Onkologie 165, pp. 751-757 (1989).

  139. P. Deuflhard: Numerical Treatment of Implicit Differential Equations and Differential Algebraic Systems. ZAMM - 69, 4, T 32 (1989).

  140. P. Deuflhard, M. Wulkow: Computational Treatment of Polyreaction Kinetics by Orthogonal Polynomials of a Discrete Variable. IMPACT Comp. Sci. Eng.1, pp. 269-301 (1989).

  141. P. Deuflhard, P. Leinen, H. Yserentant: Concepts of an Adaptive Hierarchical Finite Element Code. IMPACT Comp. Sci. Eng. 1, pp. 3-35 (1989).

  142. J.C. Böck, P. Deuflhard, A. Hoeft, H. Korb, J. Steinmann, H.-G. Wolpers, G. Hellige: Thermal Recovery after Passage of the Pulmonary Circulation Assessed by Deconvolution. J. Applied Physiology 64 (3), pp. 210-1216 (1988).

  143. J.C. Böck, P. Deuflhard, A. Hoeft, H.Korb, J. Steinmann, H.-G. Wolpers, G. Hellige: Evaluation of Monoexponential Extrapolation of Transpulmonary Thermal-Dye Kinetics by Use of a New Model-free Deconvolution Algorithm. Medical Instrumentation, Vol. 22, No. 1, pp. 20-28 (1988).

  144. P. Deuflhard, E. Hairer, J. Zugck: One-Step and Extrapolation Methods for Differential-Algebraic Systems. Numer. Math. 51, pp. 501-516 (1987).

  145. P. Deuflhard, U. Nowak: Extrapolation Integrators for Quasilinear Implicit ODEs. In: Deuflhard/Engquist (eds.), Large Scale Scientific Computing. Series "Progress in Scientific Computing", Birkhäuser/Boston, pp. 37-50 (1987).

  146. P. Deuflhard, B. Fiedler, P. Kunkel: Numerical Pathfollowing Beyond Critical Points in ODE Models. In: Deuflhard/Engquist (eds.), Large Scale Scientific Computing. Series "Progress in Scientific Computing", Birkhäuser/Boston, pp. 97-113 (1987).

  147. P. Deuflhard, B. Fiedler, P. Kunkel: Efficient Numerical Pathfollowing Beyond Critical Points. SIAM J. Numer. Anal. 24, pp. 912-927 (1987).

  148. P. Deuflhard, U. Nowak: Efficient Numerical Simulation and Identification of Large Chemical Reaction Systems. Ber. Bunsenges. 90, pp. 940-946 (1986).

  149. U. Nowak, P. Deuflhard: Identification of Selected Rate Constants in Large Chemical Reaction Systems. Appl. Numer. Math. 1, pp. 59-75 (1985).

  150. P. Deuflhard: Recent Progress in Extrapolation Methods for Ordinary Differential Equations. SIAM Rev. 27, pp. 505-535 (1985).

  151. G. Bader, U. Nowak, P. Deuflhard: An Advanced Simulation Package for Large Chemical Reaction Systems. In: R. Aiken (ed.), Stiff Computation. Proc. Intern. Conf. Park City, Utah/USA, April 12-14, 1982. Oxford University Press (1985).

  152. P. Deuflhard: Computation of Periodic Solutions of Nonlinear ODEs. BIT 24, pp. 456-466 (1984).

  153. U. Nowak, P. Deuflhard: Towards Parameter Identification for Large Chemical Reaction Systems. In: Deuflhard/Hairer (eds.), Numerical Treatment of Inverse Problems in Differential and Integral Equations. Series "Progress in Scientific Computing", Birkhäuser/Boston, pp. 13-26 (1983).

  154. P. Deuflhard, G. Bader: Multiple Shooting Techniques Revisited. In: Deuflhard/Hairer (eds.), Numerical Treatment of Inverse Problems in Differential and Integral Equations. Series "Progress in Scientific Computing", Birkhäuser/Boston, pp. 74-94 (1983).

  155. P. Deuflhard: Order and Stepsize Control in Extrapolation Methods. Numer. Math. 41, pp. 399-422 (1983).

  156. G. Bader, P. Deuflhard: A Semi-Implicit Mid-Point Rule for Stiff Systems of Ordinary Differential Equations. Numer. Math. 41, pp. 373-398 (1983).

  157. P. Deuflhard, G. Bader, U. Nowak: LARKIN - a Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics. In: Ebert/Deuflhard/Jäger (eds.), Modelling of Chemical Reaction Systems, Springer Series in Chemical Physics 18, pp. 38-55 (1981).

  158. P. Deuflhard, V. Apostolescu: A Study of the Gauss-Newton Method for the Solution of Nonlinear Least Squares Problems. In: Frehse/Pallaschke/Trottenberg (eds.), Special Topics of Applied Mathematics, Amsterdam: North-Holland Publ., pp. 129-150 (1980).

  159. P. Deuflhard: Recent Advances in Multiple Shooting Techniques. In: Gladwell/Sayers (eds.), Computational Techniques for Ordinary Differential Equations, London: Academic Press, pp. 217-272 (1980).

  160. P. Deuflhard, W. Sautter: On Rank-Deficient Pseudo-Inverses. Lin. Alg. Appl. 29, pp. 91-111 (1980).

  161. P. Deuflhard: Kepler Discretization in Regular Celestial Mechanics. Celestial Mechanics 21, pp. 213-223 (1980).

  162. P. Deuflhard: A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques. Numer. Math. 33, pp. 115-146 (1979) (contains new results beyond habilitation thesis).

  163. P. Deuflhard: A Study of Extrapolation Methods Based on Multistep Schemes without Parasitic Solutions. J. App. Math. Phys. (ZAMP) 30, pp. 117-189 (1979).

  164. P. Deuflhard: Nonlinear Equation Solvers in Boundary Value Problem Codes. In: B. Childs et al. (eds.), Proc. Working Conf. on "Codes for BVPs in ODEs", Houston/Texas 1978, Springer Lecture Notes Computer Science 74, pp. 40-66 (1979).

  165. P. Deuflhard, G. Heindl: Affine Invariant Convergence Theorems for Newton's Method and Extensions to Related Methods. SIAM J. Numer. Anal. 16, pp. 1-10 (1979).

  166. P. Deuflhard, V. Apostolescu: An Underrelaxed Gauss-Newton Method for Equality Constrained Nonlinear Least Squares Problems. In: J. Stoer (ed.), Optimization Techniques, Proc. 8th IFIP Conf., Würzburg 1977, part 2, Springer Lecture Notes Control Inf. Sci. 7, pp. 22-32 (1978).

  167. P. Deuflhard: A Summation Technique for Minimal Solutions of Linear Homogeneous Difference Equations. Computing 18, pp. 1-13 (1977).

  168. P. Deuflhard, H.-J. Pesch, P. Rentrop: A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques. Numer. Math. 26, pp. 327-343 (1976).

  169. P. Deuflhard: On Algorithms for the Summation of Certain Special Functions. Computing 17, pp. 37-48 (1976).

  170. P. Deuflhard: A Relaxation Strategy for the Modified Newton Method. In: Bulirsch/Oettli/Stoer (eds.), Optimization and Optimal Control. Springer Lecture Notes in Mathematics 477, pp. 59-73 (1975).

  171. P. Deuflhard: A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting. Numer. Math. 22, pp. 289-315 (1974).

  172. P. Asam, P. Deuflhard, W. Kaiser: Intensity Limiting and Stimulated Brillouin Scattering in Germanium. Physics Letters 27 A, pp. 78-79 (1968).