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KONRAD-ZUSE-ZENTRUM
FÜR INFORMATIONSTECHNIK
BERLIN

Prof. Dr. Dr. h.c. Peter Deuflhard - Gast

Zuse-Institut Berlin (ZIB)
Bereich Numerische Mathematik
Abteilung Numerische Analysis und Modellierung

Takustr. 7
D-14195 Berlin-Dahlem
Germany

Email:     deuflhardatzib.de
Telefon:  +49 30 84185-164
Fax:       +49 30 84185-107
Raum:    4024

Publikationen

2013

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, Vol. 321, pp. 8-27, 2013 PDF (Preprint)


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2012

P. Deuflhard, M. Weiser Adaptive numerical solution of PDEs de Gruyter, Berlin, 2012
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Peter Deuflhard, Stefan Zachow Mathematische Therapie- und Operationsplanung Themenbroschüre 2012 - Gesundheitsstandort Berlin-Brandenburg, Forschung und Anwendung in der Medizintechnik und Telemedizin, Berliner Wirtschaftsgespräche e.V.: Berlin, 2012
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Oliver Sander, Corinna Klapproth, Jonathan Youett, Ralf Kornhuber, Peter Deuflhard Towards an Efficient Numerical Simulation of Complex 3D Knee Joint Motion ZIB-Report 12-06 PDF


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2011

H.M.T. Boer, C. Stötzel, S. Röblitz, P. Deuflhard, R.F. Veerkamp, H. Woelders A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions Journal of Theoretical Biology, Vol. 278, No. 1, pp. 20-31, 2011 PDF (Preprint)


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Peter Deuflhard, Anton Schiela, Martin Weiser Mathematical Cancer Therapy Planning in Deep Regional Hyperthermia Appeared in: Acta Numerica 21: 307-378, 2012, PDF (Preprint)


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P. Deuflhard, M. Weiser Numerische Mathematik 3: Adaptive Lösung partieller Differentialgleichungen de Gruyter, Berlin, 2011
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2010

Corinna Klapproth, Anton Schiela, Peter Deuflhard Adaptive Timestep Control for the Contact-Stabilized Newmark Method Appeared in: Numerische Mathematik vol. 119 iss. 1 (2011), pp. 49-81, PDF (Preprint)


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Martin Weiser, Stefan Zachow, Peter Deuflhard Craniofacial Surgery Planning Based on Virtual Patient Models it - Information Technology, Vol. 52, No. 5, pp. 258-263, Oldenbourg Verlagsgruppe, 2010 DOI
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Peter Deuflhard, Olaf Dössel, A.K. Louis, Stefan Zachow More Mathematics into Medicine! Production Factor Mathematics, pp. 357-378, Springer, 2010
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2009

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



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P. Deuflhard, B. Erdmann, R. Roitzsch, G.T. Lines Adaptive Finite Element Simulation of Ventricular Dynamics J. Computing and Visualization in Science, Vol. 12, pp. 201-205, 2009
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Corinna Klapproth, Anton Schiela, Peter Deuflhard Consistency Results for the Contact-Stabilized Newmark Method Appeared under the title "Consistency Results on Newmark Methods for Dynamical Contact Problems" in: Numer. Math., 116/1:65-94 (2010), PDF (Preprint)



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2008

P. Deuflhard, W. Huisinga, T. Jahnke, M. Wulkow Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation SIAM J. Sci. Comput, Vol. 30, No. 6, pp. 2990-3011, 2008 PDF (Preprint)


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Stefan Zachow, Peter Deuflhard Computergestützte Planung in der kraniofazialen Chirurgie Face 01/08, Int. Mag. of Orofacial Esthetics, pp. 43-49, Oemus Journale Leipzig, 2008
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Peter Deuflhard, Olaf Dössel, Afred K. Louis, Stefan Zachow Mehr Mathematik wagen in der Medizin acatech diskutiert, Produktionsfaktor Mathematik - Wie Mathematik Technik und Wirtschaft bewegt, pp. 435-459, Springer, 2008 PDF (Preprint)

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I. Reinecke, P. Deuflhard Model Development and Decomposition in Physiology Handbook of Research on Systems Biology Applications in Medicine, A. Daskalaki (Ed.), Vol. 2, pp. 759-797, 2008
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Stefan Zachow, Martin Weiser, Peter Deuflhard Modellgestützte Operationsplanung in der Kopfchirurgie Health Academy 01/2008, pp. 140-156, 2008
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Martin Weiser, Bodo Erdmann, Peter Deuflhard On Efficiency and Accuracy in Cardioelectric Simulation ZIB-Report 08-41 PDF


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2007

I. Reinecke, P. Deuflhard A Complex Mathematical Model of the Human Menstrual Cycle Journal of Theoretical Biology, Vol. 247, No. 2, pp. 303-330, 2007 PDF (Preprint)


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P. Deuflhard, R. Krause, S. Ertel A Contact-Stabilized Newmark Method for Dynamical Contact Problems International Journal for Numerical Methods in Engineering, Vol. 73, No. 9, pp. 1274-1290, 2007 PDF (Preprint)



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Peter Deuflhard, Ulrich Nowak, Brigitte Lutz-Westphal Bessel'scher Irrgarten Ersch. unter dem Titel "Bessel'scher Irrgarten - Rundungsfehler müssen nicht klein sein" in: DMV Jahresbericht, B.G. Teubner, Bd. 110, Heft 4, pp. 177-193, (2008), PDF (Preprint)



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M. Weiser, P. Deuflhard Inexact central path following algorithms for optimal control problems SIAM J. Control Opt., Vol. 46, No. 3, pp. 792-815, 2007
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P. Deuflhard Painters, Murderers, Mathematicians Mathematics and Culture in Europe. Mathematics in Art, Technology, Cinema, and Theatre, pp. 141-152, Springer-Verlag, 2007
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A. Wix, K. Schaber, O. Ofenloch, R. Ehrig, P. Deuflhard Simulation of Aerosol Formation in Gas-Liquid Contact Devices Chem. Eng. Comm., Vol. 194, pp. 565-577, 2007
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M. Weber, S. Kube, L. Walter, P. Deuflhard Stable Computation of Probability Densities of Metastable Dynamical Systems SIAM J. Multiscale Model. Simul., Vol. 6, No. 2, pp. 396-416, 2007
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2006

Peter Deuflhard, Bodo Erdmann, Rainer Roitzsch, Glenn Terje Lines Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics Appeared in: Computing and Visualization in Science 12 (2009) pp. 201-205, PDF (Preprint)



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Piero Colli Franzone, Peter Deuflhard, Bodo Erdmann, Jens Lang, Luca Pavarino Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology SIAM J. Sc. Comp., Vol. 28, pp. 942-962, 2006 PDF (Preprint)



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M. Weiser, P. Deuflhard, B. Erdmann Affine conjugate adaptive Newton methods for nonlinear elastomechanics Optim. Meth. Softw., 2006
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Stefan Zachow, Hans-Christian Hege, Peter Deuflhard Computer assisted planning in cranio-maxillofacial surgery Journal of Computing and Information Technology, Vol. 14(1), pp. 53-64, 2006 PDF

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Peter Deuflhard, Martin Weiser, Stefan Zachow Mathematics in Facial Surgery AMS Notices, Vol. 53(9), pp. 1012-1016, 2006 PDF

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P. Deuflhard Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms Springer, 2006
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Marcus Weber, Lionel Walter, Susanna Kube, Peter Deuflhard Stable computation of probability densities for metastable dynamical systems Appeared in: SIAM J. Multisc. Mod. Sim. 2007, 6(2), pp. 396-416, PDF (Preprint)


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2005

M. Weiser, A. Schiela, P. Deuflhard Asymptotic Mesh Independence of Newton's Method Revisited SIAM J. Num. Anal., Vol. 42, No. 5, pp. 1830-1845, 2005
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Peter Deuflhard, Hans-Christian Hege Die Vision einer individuellen quantitativen Medizin ZIB-Report 05-47 PDF



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Stefan Zachow, Hans-Christian Hege, Peter Deuflhard Maxillofacial surgery planning with 3D soft tissue prediction - modeling, planning, simulation 2. Int. Conf. on Advanced Digital Technology in Head and Neck Reconstruction, Abstract 33, pp. 64, 2005
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P. Deuflhard Pittori, assassini, matematici M. Manaresi (ed.), Matematica e Cultura in Europa. Springer-Verlag Italia, pp. 145-155, 2005 PDF

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P. Deuflhard, M. Weber Robust Perron Cluster Analysis in Conformation Dynamics Lin. Alg. Appl. -- Special Issue on Matrices and Mathematical Biology, M. Dellnitz, S. Kirkland, M. Neumann, Ch. Schütte (Eds.), Vol. 398, pp. 161-184, Elsevier Journals: Germany, 2005 PDF (Preprint)

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S. Zachow, M. Weiser, H.-C. Hege, P. Deuflhard Soft Tissue Prediction in Computer Assisted Maxillofacial Surgery Planning: A Quantitative Evaluation of Histomechanical Modeling using Pre- and Postoperative CT-Data Biomechanics Applied to Computer Assisted Surgery, Y. Payan (Ed.), pp. 277-298, Research Signpost, 2005
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Stefan Zachow, Martin Weiser, Hans-Christian Hege, Peter Deuflhard Soft tissue prediction in computer assisted maxillofacial surgery planning: A quantitative evaluation of histomechanical modeling using pre- and postoperative CT data Biomechanics Applied to Computer Assisted Surgery, Y. Payan (Ed.), pp. 277-298, Research Signpost Publisher, 2005
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2004

Hans Lamecker, Martin Seebaß, Hans-Christian Hege, Peter Deuflhard A 3D statistical shape model of the pelvic bone for segmentation Proceedings of SPIE - Volume 5370 Medical Imaging 2004: Image Processing, May, J.M. Fitzpatrick, M. Sonka (Eds.), pp. 1341-1351, 2004 PDF
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Stefan Zachow, Bodo Erdmann, Hans-Christian Hege, Peter Deuflhard Advances in 3D osteotomy planning with 3D soft tissue prediction Proc. 2nd International Symposium on Computer Aided Surgery around the Head, Abstract, Bern, pp. 31, 2004
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K. Schaber, O. Ofenloch, R. Ehrig, P. Deuflhard Aerosolbildung in Gas/Flüssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation Chemie Ingenieur Technik, Vol. 76, No. 9, pp. 1358-1359, 2004
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege Anatomy- and physics-based facial animation for craniofacial surgery simulations Med Biol Eng Comput., Vol. 42(2), pp. 167-170, 2004 DOIPMID
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Stefan Zachow, Hans-Christian Hege, Peter Deuflhard Computergestützte Operationsplanung in der Gesichtschirurgie Proc. VDE Kongress 2004 - Innovationen für Menschen, Band 2, Fachtagungsberichte DGBMT - GMM - GMA, pp. 53-58, 2004
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Peter Deuflhard, Hyung Yong Ra (Chairs) Korean-German Bilateral Symposium on Scientific Computing ZIB-Report 04-02 PDF



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P. Deuflhard, Ch. Schütte Molecular Conformation Dynamics and Computational Drug Design Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress, proceedings in Applied Mathematics, James M. Hill, Ross Moore (Eds.), No. 116, pp. 91-119, SIAM, 2004
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R. Hochmuth, P. Deuflhard Multiscale Analysis for the Bio-Heat-Transfer Equation - The Nonisolated Case Mathematical Models and Methods in Applied Sciences (M$^3$AS), Vol. 14, No. 11, pp. 1621-1634, 2004
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P. Deuflhard, R. Hochmuth Multiscale analysis of thermoregulation in the human microvascular system Math. Methods Appl. Sci., Vol. 27, No. 8, pp. 971-989, Wiley Verlag, 2004
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Hannes Haberl, Bertold Hell, Maja Zöckler, Stefan Zachow, Hans Lamecker, Asita Sarrafzadeh, B. Riecke, Wolfgang R. Langsch, Peter Deuflhard, Jürgen Bier, Mario Brock Technical aspects and results of surgery for craniosynostosis Zentralbl. Neurochir., Vol. 65(2), pp. 65-74, 2004 PMID
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Hans Lamecker, Martin Seebaß, Thomas Lange, Hans-Christian Hege, Peter Deuflhard Visualization of the variability of 3D statistical shape models by animation Proceedings MMVR, Studies in Health Technologies and Informatics, J.D. Westwood, et al. (Eds.), Vol. 98, pp. 190-196, IOS press, 2004 PDF
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P. Deuflhard bookreview: Geometric Numerical Integration (E. Hairer, C. Lübich, G. Wanner) Annual Report DMV, Vol. 106, pp. 43, 2004
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2003

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
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E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege A Comparison of Physical Models of Deformable Soft Tissue for Craniofacial Surgery Simulations Computer Assisted Radiology and Surgery (CARS), London, UK, pp. 343-348, 2003
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P. Deuflhard A Comparison of Related Concepts in Computational Chemistry and Mathematics Chemisty and Mathematics: Two Scientific Languages of the $21^st$ Century. Nova Acta Leopoldina NF, Vol. 88, No. 330, pp. 51-66, 2003
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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
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F. Schmidt, T. Friese, L. Zschiedrich, P. Deuflhard Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design Mathematics - Key Technology for the Future: Joint Problems between Universities and Industry, W. Jäger, et al. (Eds.), pp. 270-292, Springer, 2003
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C. Kober, R. Sader, H.F. Zeilhofer, P. Deuflhard An Individual Anisotropic and Inhomogeneous Material Description of the Human Mandible Mathematical Modelling and Computing in Biology and Medicine, V. Capasso (Ed.), pp. 103-109, ESTMB, 2003
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G. Sreenivasa, J. Gellermann, 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
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J. Lang, B. Erdmann, C. Kober, P. Deuflhard, R. Sader, H.-F. Zeilhofer Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers Berichte des IZWR - Interdisziplinäres Zentrum für Wissenschaftliches Rechnen, W. Alt, M. Hermann (Eds.), Vol. 1, pp. 49-57, Universität Jena: Germany, 2003
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P. Deuflhard From Molecular Dynamics to Conformational Dynamics in Drug Design Trends in Nonlinear Analysis, Markus et al. Kirkilionis (Ed.), pp. 269-288, Springer Verlag Berlin, 2003
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P. Deuflhard Maler, Mörder, Mathematiker Mitteilungen der Deutschen MathematikerVereinigung (DMV), pp. 16-21, Heft 4, 2003
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Reinhard Hochmuth, Peter Deuflhard Multiscale Analysis for the Bio-Heat Transfer Equation Appeared in: Mathematical Models and Methods in Applied Sciences 14 (2004) 1621-1634, PDF (Preprint)



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P. Deuflhard, A. Hohmann Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. New York, NY: Springer, 2003
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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 Proc. of Computer Assisted Radiology and Surgery, London, United Kingdom, pp. 343-348, 2003
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege On constitutive modeling of soft tissue for the long-term prediction of cranio-maxillofacial surgery outcome International Congress Series, CARS2003, Computer Assisted Radiology and Surgery, Proceedings of the 17th International Congress and Exhibition, June, Vol. 1256, pp. 343-348, 2003 DOI
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R. Hochmuth, P. Deuflhard On the thermoregulation in the human microvascular system PAMM, Vol. 3, pp. 378-379, 2003
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege Realistic prediction of individual facial emotion expressions for craniofacial surgery simulations Proc. SPIE medical Imaging 2003: Visualization, Image-Guided Procedures, and Display, San Diego, CA, USA, May, Jr. Robert L. Galloway (Ed.), Vol. 5029, pp. 520-527, 2003 DOI
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2002

D. Braess, P. Deuflhard, K. Lipnikov A Subspace Cascadic Multigrid Method for Mortar Elements Computing, Vol. 69, pp. 205-225, 2002
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E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege A nonlinear elastic soft tissue model for craniofacial surgery simulations ESAIM, Proc., Vol. 12, pp. 61-66, 2002
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege A nonlinear soft tissue model for craniofacial surgery simulations Modelling and Simulation for Computer-Aided Medicine and Surgery, 2002 DOI
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege Adaptive Nonlinear Elastic FEM for Realistic Prediction of Soft Tissue in Craniofacial Surgery Simulations Proc. SPIE Medical Imaging 2002: Visualization, Image-Guided Procedures, and Display, San Diego, USA, May, Seong K. Mun (Ed.), Vol. 4681, pp. 1-8, 2002 DOI
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Peter Deuflhard Adaptive Pseudo-transient Continuation for Nonlinear Steady State Problems Appeared in: P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Springer 2004. Series Computational Mathematics, 35, PDF (Preprint)



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E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege Adaptive nonlinear elastic FEM for realistic soft tissue prediction in craniofacial surgery simulations Proc. SPIE Medical Imaging 2002: Visualization, Image-Guided Procedures, San Diego, USA, Seong K. Mun (Ed.), Vol. 4681, pp. 1-8, 2002
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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., Vol. 57, pp. 4345-4356, 2002
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Peter Deuflhard, Ulrich Nowak, Martin Weiser Affine Invariant Adaptive Newton Codes for Discretized PDEs Appeared in: P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Springer 2004. Series Computational Mathemtics, 35, PDF (Preprint)



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T. Galliat, P. Deuflhard, R. Roitzsch, F. Cordes Automatic Identification of Metastable Conformations via Self-Organized Neural Networks 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, T. Schlick, H. H. Gan (Eds.), No. 24, Springer, 2002
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege Biomechanical modeling of individual facial emotion expressions Proc. of Visualization, Imaging, and Image Processing (VIIP), Malaga, Spain, pp. 7-11, 2002
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Stefan Zachow, Evgeny Gladilin, Peter Deuflhard, Hans-Christian Hege Biomechanisches Modell zur Abschätzung der individuellen Gesichtsmimik Proc. `Workshop Bildverarbeitung für die Medizin' (BVM), M. Meiler, D. Saupe, F. Kruggel, H. Handels, T. Lehmann (Eds.), pp. 25-28, Springer Verlag: Dresden, Germany, 2002
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B. Erdmann, C. Kober, J. Lang, P. Deuflhard, J. Zeilhofer, R. Sader Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible proceedings of 9th Workshop on The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, 2002
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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 parameters in a 3-D hyperthermia applicator using different FDTD models of feed networks IEEE Trans Biomed Eng, Vol. 49, No. 11, pp. 1348-1359, 2002
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A. Fischer, Ch. Schütte, P. Deuflhard, F. Cordes Hierarchical Uncoupling-Coupling of Metastable Conformations 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, T. Schlick, H. H. Gan (Eds.), No. 24, pp. 235-259, Springer, 2002
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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., Vol. 57, No. 7, pp. 1151-1163, 2002
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P. Deuflhard, V. Mehrmann Numerical analysis and scientific computing in key technologies 2002
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P. Deuflhard, A. Hohmann Numerische Mathematik. I: Eine algorithmisch orientierte Einführung de Gruyter Lehrbuch. Berlin: de Gruyter, 2002
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P. Deuflhard, F. Bornemann Numerische Mathematik. II: Gewöhnliche Differentialgleichungen de Gruyter Lehrbuch. Berlin: de Gruyter, 2002
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P. Deuflhard, F. Bornemann Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt New York, NY: Springer, 2002
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Evgeny Gladilin, Stafan Zachow, Peter Deuflhard, Hans-Christian Hege Shape-based Modeling Approach for the Estimation of Individual Facial Mimics in Craniofacial Surgery Planning Proc. SPIE Medical Imaging 2002: Visualization, Image-Guided Procedures, and Display, San Diego, USA, May, Seong K. Mun (Ed.), Vol. 4681, pp. 242-248, 2002
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Stefan Zachow, Evgeny Gladilin, Hans-Christian Hege, Peter Deuflhard Towards Patient Specific, Anatomy Based Simulation of Facial Mimics for Surgical Nerve Rehabilitation Computer Assisted Radiology and Surgery (CARS), pp. 3-6, Springer Verlag, 2002
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2001

Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege A Biomechanical Model for Soft Tissue Simulation in Craniofacial Surgery Medical Imaging and Augmented Reality (MIAR), Hong Kong, China, pp. 137-141, 2001 DOI
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Cornelia Kober, Robert Sader, Hans-Florian Zeilhofer, Steffen Prohaska, Stefan Zachow, Peter Deuflhard Anisotrope Materialmodellierung für den menschlichen Unterkiefer Erschienen in: Die Methode der Finiten Elemente in der Biomechanik, Biomedizin und angrenzenden Gebieten, Workshop '01, Univ. Ulm, 23./24.7.2001, PDF (Preprint)



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P. Wust, H. Fahling, W. Wlodarczyk, M. Seebass, J. Gellermann, P. Deuflhard, J. Nadobny Antenna arrays in the SIGMA-eye applicator: interactions and transforming networks Med Phys, Vol. 28, No. 8, pp. 1793-1805, 2001
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Evgeny Gladilin, Stefan Zachow, Hans-Christian Hege, Peter Deuflhard FE-based heuristic approach for the estimation of person-specific facial mimics Proceedings of Euro-Par 2001: 5-th International Symposium on Computer Methods, Biomechanics and Biomedical Engineering, Rome, Italy, 2001
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J. Nadobny, W. Wlodarczyk, P. Deuflhard, G. Mönich, P. Wust Numerical and Experimental Investigations of Different Antenna Types for Deep Body Hyperthermia Proc. 2001 URSI International Symposium on electromagnetic Theory, M.A. Stuchly, D.G. Shannon (Eds.), pp. 473-475, 2001
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Martin Weiser, Peter Deuflhard The Central Path towards the Numerical Solution of Optimal Control Problems Appeared under the title " Inexact Central Path Following Algorithms for Optimal Control Problems" in: SIAM J. Contr. Opt. 46 (3) (2007) 792-815, PDF (Preprint)



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Evgeny Gladilin, Stefan Zachow, Hans-Christian Hege, Peter Deuflhard Towards a Realistic Simulation of Individual Facial Mimics Vision Modeling and Visualization 2001 (VMV), Stuttgart, Germany, pp. 129-134, 2001
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Ch. Schütte, W. Huisinga, P. Deuflhard Transfer operator approach to conformational dynamics in biomolecular systems Ergodic theory, analysis, and efficient simulation of dynamical systems, Bernold Fiedler (Ed.), pp. 191-223, Berlin: Springer, 2001
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E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege Validation of Linear Elastic Model for Soft Tissue Simulation in Craniofacial Surgery Proc. of SPIE Medical Imaging Conference Visualisation, Display, and Image-Guided Procedures, San Diego, USA, Vol. 4319, pp. 27-35, 2001
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian Hege Validation of a Linear Elastic Model for Soft Tissue Simulation in Craniofacial Surgery Proc. SPIE Medical Imaging 2001: Visualization, Image-Guided Procedures, and Display, San Diego, USA, May, Seong K. Mun (Ed.), Vol. 4319, pp. 27-35, 2001 DOI
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian 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
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Evgeny Gladilin, Stefan Zachow, Peter Deuflhard, Hans-Christian 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
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2000

Peter Deuflhard, Martin Weiser, Martin Seebaß A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia Comput. Visual. Sci., Vol. 3, pp. 1-6, 2000
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P. Deuflhard, M. Weiser, M. Seebass A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning Comput. Vis. Sci., Vol. 3, pp. 115-120, 2000
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Tobias Galliat, Peter Deuflhard Adaptive hierarchical cluster analysis by Self-Organizing Box Maps ZIB-Report 00-13 PDF



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Johanna Gellermann, Peter Wust, Detlev Stalling, Martin Seebaß, Jacek Nadobny, Hans-Christian Hege, Peter Deuflhard, Roland Felix Clinical evaluation and verification of the hyperthermia treatment planning system HyperPlan Int. J. Radiat. Oncol. Biol. Phys., Vol. 47(4), pp. 1145-1156, 2000 DOIPMID
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P. Deuflhard Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs Computational Mathematics Driven by Industrial Applications, Vol. 1739, pp. 69-125, Springer-Verlag, 2000
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Stefan Zachow, Evgeny Gladilin, Hans-Christian Hege, Peter Deuflhard Finite-Element Simulation of Soft Tissue Deformation Computer Assisted Radiology and Surgey (CARS), H.U. Lemke, et al. (Eds.), pp. 23-28, Elsevier Science B.V., 2000
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P. Deuflhard, W. Huisinga, A. Fischer, Ch. Schütte Identification of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains Lin. Alg. Appl., Vol. 315, pp. 39-59, 2000
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P. Deuflhard, H.-C. Hege, M. Seebass Progress Towards a Combined MRI Hyperthermia System Proc. Second Int. Congress HIGH CARE 2000, Bochum, W. W. Grönemeyer (Ed.), 2000
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Peter Deuflhard, Hans-Christian Hege, Martin Seebaß Progress Towards a Combined MRI/Hyperthermia System Proceedings Second International Congress HIGH CARE 2000, Bochum, February, W.W. Grönemeyer (Ed.), 2000
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T. Galliat, W. Huisinga, P. Deuflhard Self-Organizing Maps Combined with Eigenmode Analysis for Automated Cluster Identification Neural Computation, ICSC Academic Press, R. Rojas H. Bothe (Ed.), pp. 227-232, 2000
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P. Deuflhard Therapieplanung an virtuellen Krebspatienten M. Aigner, E. Behrends (eds.): Alles Mathematik. Von Pythagoras zum CD-Player. Vieweg Verlag, pp. 22-30, 2000
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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, Vol. 29 (Suppl. 1), pp. 82, 2000
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Hans-Florian Zeilhofer, Stefan Zachow, Jeffrey Donald Fairley, Robert Sader, Peter Deuflhard Treatment Planning and Simulation in Craniofacial Surgery with Virtual Reality Techniques Journal of Cranio-Maxillofacial Surgery, Vol. 28, pp. 28, 2000
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1999

Jacek Nadobny, Waldemar Wlodarczyk, Peter Wust, Gehard Mönich, Peter Deuflhard, Roland Felix 3D Phased Array Applicator for Hyperthermia Treatment in Pelvis Proc. XXVIth General Assembly of International Union of Radio Science (URSI), Toronto Ontario Canada, Aug. 13-21, pp. 648, 1999
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C. Schütte, A. Fischer, W. Huisinga, P. Deuflhard A Direct Approach to Conformational Dynamics Based on Hybrid Monte Carlo J. Comput. Phys., Vol. 151, pp. 146-168, 1999
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T. Friese, P. Deuflhard, F. Schmidt A Multigrid Method for the Complex Helmholtz Eigenvalue Problem Procs. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering (DD11), UK, C.-H. Lai, P. E. Bjørstad, M. Cross, O. B. Widlund (Eds.), pp. 19-26, DDM.org, 1999
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P. Deuflhard, M. Seebass Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia Procs. Eleventh International Conference on Domain Decomposition Methods, C.-H. Lai, P. E. Bjørstad, M. Cross, O. Widlund (Eds.), pp. 403-414, DDM-org Press,Bergen, 1999
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R. Beck, P. Deuflhard, R. Hiptmair, R. H.W. Hoppe, B. Wohlmuth Adaptive multilevel methods for edge element discretizations of Maxwell's equations Surv. Math. Ind., Vol. 8, No. 3-4, pp. 271-312, 1999
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R. Ehrig, U. Nowak, L. Oeverdieck, P. Deuflhard Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems High Performance Scientific and Engineering Computing, F. Durst C. Zenger H.-J. Bungartz (Ed.), Vol. 8, pp. 233-244, Springer Verlag, 1999
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P. Deuflhard Commentary on Cornelius Lanczos's Extended Boundary Value Problems Cornelius Lanczos Collected Published Papers with Commentaries, W.R. Davis, M.T. Chu, P. Dolan, J.R. McConnell, L.K. Noris, E. Ortiz, R.J. Plemmons, D. Ridgeway, B.K P, W.J. Stewart, Jr. J.W. York, W.O. Doggett, B.M. Gellai, A.A. Gsponer, C.A. Prioli (Eds.), Vol. VI, pp. 3-650--3--653, North Carolina State University, Raleigh, 1999
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P. Deuflhard Commentary on Cornelius Lanczos's Solution of Ordinary Differential Equations by Trigonometric Interpolation Cornelius Lanczos Collected Published Papers with Commentaries, W.R. Davis, M.T. Chu, P. Dolan, J.R. McConnell, L.K. Noris, E. Ortiz, R.J. Plemmons, D. Ridgeway, B.K P, W.J. Stewart, Jr. J.W. York, W.O. Doggett, B.M. Gellai, A.A. Gsponer, C.A. Prioli (Eds.), Vol. VI, pp. 3-667--3--669, North Carolina State University, Raleigh, 1999
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Peter Wust, Jacek Nadobny, Martin Seebaß, Detlev Stalling, Johanna Gellermann, Hans-Christian Hege, Peter Deuflhard Influence of Patient Models and Numerical Methods on Predicted Power Deposition Patterns Int. Journal Hyperthermia, Vol. 15, No. 6, pp. 519-540, 1999 PMID
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P. Deuflhard, Ch. Schütte, F. Cordes, L. Müller-Kurth Konformationsdynamik. Mathematischer Entwurf hochspezifischer Biomoleküle In: D. Hömberg (ed.), 8. Veranstaltungsreihe Forschungspolitische Dialoge in Berlin: Angewandte Mathematik - die verborgene Schlüsseltechnologie, 30. April 1999, Konrad-Zuse-Zentrum Berlin, pp. 30-34, 1999
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P. Wust, R. Felix, P. Deuflhard Künstliches Fieber gegen Krebs Spektrum der Wissenschaft, pp. 78-84 (December 1999)., 1999
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Peter Deuflhard, Rupert Klein, Alexander Reinefeld, Hinnerk Stüben (Hrsg.) Power-User und Supercomputer ZIB-Report SC-99-19 PDF



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Waldemar Wlodarczyk, Jacek Nadobny, Peter Wust, Gehard Mönich, Peter Deuflhard, Roland Felix Systematic Design of Antennas for a Cylindrical 3D Phased Array Hyperthermia Applicator Proc. 1999 IEEE Antennas and Propagation Society International Symposium, Orlando, FL, July 11-16, pp. 1004-1007, 1999 DOI
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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
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P. Deuflhard, R. Felix, P. Wust Wärme für das Leben. Mathematische Hyperthermieplanung am virtuellen Krebspatienten In: D. Hömberg (ed.), 8. Veranstaltungsreihe Forschungspolitische Dialoge in Berlin: Angewandte Mathematik - die verborgene Schlüsseltechnologie, 30. April 1999, Konrad-Zuse-Zentrum Berlin, pp. 23-29, 1999
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1998

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
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Jacek Nadobny, Dennis Sullivan, Peter Wust, Martin Seebaß, Peter Deuflhard, Roland Felix A High-Resolution Interpolation at Arbitary Interfaces for the FDTD Method IEEE Trans. Microwave Theory Tech., Vol. 46, No. 11, pp. 1759-1766, 1998 DOI
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Christof Schütte, Alexander Fischer, Wilhelm Huisinga, Peter Deuflhard A Hybrid Monte Carlo Method for Essential Molecular Dynamics A compl. rev. vers. appeared under the title: " A Direct Approach to Conformational Dynamics Based on Hybrid Monte Carlo" in: J. Comput. Phys. 151 (1999) 146-168, PDF (Preprint)



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P. Deuflhard, H. W. Engl, O. Scherzer A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions Inverse Probl., Vol. 14, pp. 1081-1106, 1998
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Peter Deuflhard, Martin Seebaß Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyerthermia Proc. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering, Greenwich, UK, Choi-Hong Lai, Petter E. Bjorstad, Mark Cross, Olof O. Widlund (Eds.), pp. 410-421, 1998
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P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte Computation of essential molecular dynamics by subdivision techniques Computational molecular dynamics: challenges, methods, ideas. proceedings of the 2nd international symposium on Algorithms for Macromolecular modelling, Berlin, Germany, May 21-24, 1997., P. et al. Deuflhard (Ed.), Vol. 4, pp. 98-115, Berlin: Springer., 1998
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Jacek Nadobny, Waldemar Wlodarczyk, Peter Wust, Horst Fähling, Gerhard Mönich, Peter Deuflhard, Roland Felix Design and Optimization of Short Antennas for Phased-Array Hyperthermia Applicator Proc. PIERS Progress in Electromagnetic Research Symposium, Nantes, pp. 839, 1998
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P. Deuflhard, K. Lipnikov Domain decomposition with subdomain CCG for material jump elliptic problems East-West J. Numer. Math., Vol. 6, No. 2, pp. 81-100, 1998
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Peter Wust, Johanna Gellermann, Jürgen Beier, Susan Wegner, Wolfgang Tilly, Jens Tröger, Detlev Stalling, H. Oswald, Hans-Christian Hege, Peter Deuflhard, Roland Felix Evaluation of Segmentation Algorithms for Generation of Patient Models in Radiofrequency Hyperthermia Phys. Med. Biol., Vol. 43 (11), pp. 3295-3307, 1998 DOIPMID
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P. Deuflhard Fast algorithms, fast computers: The Konrad-Zuse-Zentrum Berlin (ZIB) Mathematics in Berlin, H.G.W. et al. Begehr (Ed.), pp. 183-184, Basel: Birkhäuser, 1998
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P. Deuflhard, M. Weiser Global inexact Newton multilevel FEM for nonlinear elliptic problems Multigrid methods V. proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1--4, 1996., Lect. Notes Comput. Sci. Eng., Wolfgang et al. Hackbusch (Ed.), Vol. 3, pp. 71-89, Berlin: Springer, 1998
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R. Ehrig, U. Nowak, P. Deuflhard Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms Procs. 16th International Workshop on Distributed Data Processing, Novosibirsk, Russia, V.G. Khoroshevsky (Ed.), pp. 1-6, 1998
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J. Koerber, K. Schaber, R. Ehrig, P. Deuflhard Modelling and simulation of aerosol formation in absorption processes J. Aerosol Sci, Vol. 29, pp. 579-580, 1998
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Martin Seebaß, Detlev Stalling, Hans-Christian Hege, Peter Wust, Roland Felix, Peter Deuflhard New Features of HyperPlan, a Hyperthermia Planning System Proc. Hyperthermia in Clincal Oncology, Venice, pp. 16, 1998
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Jacek Nadobny, Peter Wust, Horst Fähling, Detlev Stalling, Martin Seebaß, Peter Deuflhard, Roland Felix Numerical and Experimental Evaluation of E-Field and Absorbed Power in the Pelvic Region Using a Bone-Equivalent Phantom Proc. PIERS Progress in Electromagnetic Research Symposium, Nantes, pp. 264, 1998
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1997

Peter Deuflhard, Sebastian Reich (eds.) 2nd International Symposium Algorithms for Macromolecular Modelling ZIB-Report TR-97-03 PDF



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Peter Deuflhard, Tilmann Friese, Frank Schmidt A Nonlinear Multigrid Eigenproblem Solver for the Complex Helmholtz Equation Appeared under the title: " A Multigrid Method for the Complex Helmholtz Eigenvalue Problem" in: Choi-Hong Lai et al. (eds.) Proc. 11th Int. Conf. on Domain Decomposition Methods. Bergen: DDM-org Press 1999. Pp. 18-26, PDF (Preprint)



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Jacek Nadobny, Peter Wust, Detlev Stalling, Hans-Christian Hege, Peter Deuflhard, Roland Felix A Quantitative Comparison Between VSIE and the FDTD Method Using Electrically Equivalent Patient and Antenna Models Proceedings of 16th Annual Meeting of the European Society for Hyperthermic Oncology ESHO-97, Berlin, Germany, April, pp. 145, 1997
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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 Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997, pp. 145, 1997
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R. Beck, P. Deuflhard, P. Wust, R. Felix Electromagnetic Field Calculations by Finite Elements Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997, pp. 77, 1997
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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 Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997, pp. 79, 1997
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Rainald Ehrig, Peter Deuflhard GMERR - an Error Minimizing Variant of GMRES ZIB-Report SC-97-63 PDF



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Peter Deuflhard, Martin Seebass, Detlev Stalling, Rudolf Beck, Hans-Christian Hege Hyperthermia Treatment Planning in Clinical Cancer Therapy: Modelling, Simulation and Visualization Appeared in: Proc. of the 15th IMACS World Congress 1997 on Scientific Compuation: Modelling and Applied Mathematics. A. Sydow (ed.) Wissenschaft und Technik Verlag, 1997, Vol. 3, pp. 9-17, PDF (Preprint)



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P. Deuflhard, M. Seebass, D. Stalling, R. Beck, H.-C. Hege Hyperthermia Treatment Planning in Clinical Cancer Therapy:Modelling, Simulation, and Visualization Computational Physics, Chemistry and Biology, Achim Sydow (Ed.), Vol. 3, Wissenschaft und Technik Verlag: Plenary keynote talk, 15th IMACS World Congress 1997 on Scientific Computation, Modelling and Applied Mathematics, 1997
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Peter Deuflhard, Martin Seebaß, Detlev Stalling, Rudolf Beck, Hans-Christian Hege Hyperthermia Treatment Planning in Clinical Therapy Computational Physics, Chemistry and Biology (Proceedings of the 15th IMACS World Congress 1997 on Scientific Computation 3, Modelling and Applied Mathematics), A. Sydow (Ed.), pp. 9-17, Wissenschaft und Technik Verlag, 1997
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P. Deuflhard, M. Weiser Local inexact Newton multilevel FEM for nonlinear elliptic problems Computational science for the 21st century, M.-O. et al. Bristeau (Ed.), pp. 129-138, Chichester: John Wiley & Sons., 1997
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Rainald Ehrig, Ulrich Nowak, Peter Deuflhard Massively Parallel Linearly-Implicit Extrapolation Algorithms as a Powerful Tool in Process Simulation. Appeared 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), PDF (Preprint)



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R. Beck, P. Deuflhard, H.-Ch. Hege, M. Seebass, D. Stalling Numerical Algorithms and Visualization in Medical Treament Planning Visualization and Mathematics, H.-C. Hege, K. Polthier (Eds.), pp. 303-328, Springer-Verlag, 1997
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Peter Wust, Jacek Nadobny, Johanna Gellermann, Martin Seebaß, Detlev Stalling, Hans-Christian Hege, Peter Deuflhard, V. Budach, Roland Felix Patient Models and Algorithms for Hyperthermia Planning Proceedings of the 16th Annual Meeting of the European Society for Hyperthermic Oncology ESHO-97, 1997
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Martin Seebaß, Detlev Stalling, Malte Zöckler, Hans-Christian Hege, Peter Wust, Roland Felix, Peter Deuflhard Surface Mesh Generation for Numerical Simulations of Hyperthermia Treatments Proceedings of the 16th Annual Meeting of the European Society for Hyperthermic Oncology (ESHO-97), pp. 146, 1997
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Peter Deuflhard, Alfred Louis, W. Schlegel, Martin Seebass (Hrsg.) Workshop "Scientific Computing in der Medizin" SCMED '97 ZIB-Report TR-97-05 PDF



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1996

Jacek Nadobny, Peter Wust, Martin Seebaß, Peter Deuflhard, Roland Felix A Volume Surface Integral Equation Method for Solving Maxwell's Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids IEEE Transactions Microwave Theory Techn., Vol. 44, No. 4, pp. 543-554, 1996 DOI
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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
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Rudolf Beck, Hans-Christian Hege, Martin Seebaß, Peter Wust, Peter Deuflhard, Roland Felix Adaptive Finite Element Codes for Numerical Calculations in Hyperthermia Treatment Planning Proceedings of the 17th Congress on Hyperthermic Oncology, Rome, Italy, April, Vol. 2, pp. 515-517, 1996 PDF

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J. Fröhlich, P. Deuflhard An adaptive Galerkin method for the PDF transport equation of turbulent reactive flows Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94), H. Neunzert (Ed.), pp. 176-184, Wiley & Teubner, 1996
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F. Bornemann, P. Deuflhard Cascadic Multigrid Methods Domain Decomposition Methods in Sciences and Engineering, J. Périaux Z. Shi R. Glowinski, O. Widlund (Eds.), pp. 205-212, John Wiley & Sons Ltd, 1996
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Peter Deuflhard, Michael Dellnitz, Oliver Junge, Christof Schütte Computation of Essential Molecular Dynamics by Subdivision Techniques I: Basic Concept Appeared in: P. Deuflhard, J. Hermans, B. Leimkuhler, A.E. Mark, S. Reich, R.D. Skeel (eds.), Computational Molecular Dynamics: Challenges, Methods, Ideas. Lecture Notes in Computational Science and Engineering, 4, Springer-Verlag, 98-115, 1998, PDF (Preprint)



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P. Deuflhard, J. Heroth Dynamic dimension reduction in ODE models Scientific computing in chemical engineering, Frerich et al. Keil (Ed.), pp. 29-43, Berlin: Springer-Verlag, 1996
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P. Deuflhard, T. Friese, F. Schmidt, R. März, H.-P. Nolting Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips Mathematik - Schlüsseltechnologie für die Zukunft, K. -H. et al. Hoffmann (Ed.), pp. 267-279, Springer Verlag, 1996
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Peter Deuflhard, Martin Weiser Global Inexact Multilevel FEM for Nonlinear Elliptic Problems Appeared in: W. Hackbusch, G. Wittum (eds.) Multigrid Methods. Lecture Notes in Computational Science and Engineering 3. Springer, 1998, pp. 71-89, PDF (Preprint)



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Rainald Ehrig, Ulrich Nowak, Peter Deuflhard Highly scalable parallel linearly-implicit extrapolation algorithms ZIB-Report TR-96-11 PDF



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Detlev Stalling, Martin Seebaß, Hans-Christian Hege, Peter Wust, Peter Deuflhard, Roland Felix HyperPlan - an Integrated System for Treatment Planning in Regional Hyperthermia Proceedings of the 17th Congress on Hyperthermic Oncology, Rome, Italy, April, Vol. 2, pp. 552-554, 1996 PDF

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Rudolf Beck, Peter Deuflhard, Hans-Christian Hege, Martin Seebaß, Detlev Stalling Numerical Algorithms and Visualization in Medical Treatment Planning Visualization and Mathematics 1997, Hans-Christian Hege, Konrad Polthier (Eds.), pp. 303-328, Springer, Heidelberg, 1996
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P. Deuflhard, J. Lang, U. Nowak Recent Progress in Dynamical Process Simulation Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94), H. Neunzert (Ed.), pp. 122-137, Wiley & Teubner, 1996
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Peter Wust, Martin Seebaß, Jacek Nadobny, Peter Deuflhard, Gerhard Mönich, Roland Felix Simulation Studies Promote Technological Development of Radiofrequency Phased Array Hyperthermia Int. Journal of Hyperthermia, Vol. 12, pp. 477-494, 1996
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Jacek Nadobny, Peter Wust, Waldemar Wlodarczyk, Martin Seebaß, Peter Deuflhard, Gerhard Mönich, Roland Felix Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems Proceedings of the 17th Congress on Hyperthermic Oncology, Rome, Italy, April, Vol. 2, pp. 549-551, 1996 PMID
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F.A. Bornemann, P. Deuflhard The cascadic multigrid method for elliptic problems Numer. Math., Vol. 75, pp. 135-152, 1996
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M. Seebass, D. Stalling, J. Nadobny, P. Wust, R. Felix, P. Deuflhard Three-Dimensional Finite Element Mesh Generation for Numerical Simulations of Hyperthermia Treatments Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996, G. Arcangeli R. Cavaliere C. Franconi (Ed.), Vol. 2, pp. 547-548, 1996
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Martin Seebaß, Detlev Stalling, Jacek Nadobny, Peter Wust, Roland Felix, Peter Deuflhard Three-Dimensional Finite Elements Mesh Generation for Numerical Simulations of Hyperthermia Treatments Proceedings of the 17th Congress on Hyperthermic Oncology, Rome, Italy, April, Vol. 2, pp. 547-548, 1996
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P. Deuflhard, J. Heroth, U. Maas Towards Dynamic Dimension Reduction in Reactive Flow Problems Proc. 3rd Workshop on Modelling of Chemical Reaction Systems, Heidelberg, 1996
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Peter Deuflhard, Jörg Heroth, Ulrich Maas Towards Dynamical Dimension Reduction in Reactive Flow Problems Appeared in: Proc. Int. Workshop on Modelling of Chemical Reaction Systems, Heidelberg 1996, J. Warnatz, F. Behrendt (eds.), CD-Version, 1997, PDF (Preprint)



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1995

Peter Deuflhard, Jens Lang, Ulrich Nowak Adaptive Algorithms in Dynamical Process Simulation Appeared in: Topics in Industrial Mathematics. Proc. 8th Conf. of the European Consortium for Mathematics in Industry (ECMI 94). H. Neunzert (ed.) Wiley; Teubner 1996, pp. 122-137, PDF (Preprint)



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P. Deuflhard Computational Mathematics as Key Technology Systems Analysis Modelling Simulation (SAMS),Proc. IMACS Symposium on Systems Analysis and Simulation, Berlin, 26-30 June 1995, A. Sydow (Ed.), Vol. 18-19, pp. 19-26, Gordon and Breach Science Publishers SA, 1995
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Peter Deuflhard, Jürgen Gottschewski Das Konrad-Zuse-Zentrum für Informationstechnik Berlin. Struktur, wissenschaftliches Konzept und Einbettung in die Region Erschienen in: Statustagung des BMBF HPSC 95: Stand und Perspektiven des Parallelen Höchstleistungsrechnens und seiner Anwendungen 11.-14. Sept. 1995, Jülich. Hrsg. durch den Projektträger Informationstechnik des BMBF bei der DLR. Berlin: DLR. S. 395-407, PDF (Preprint)



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F. Schmidt, P. Deuflhard Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel's Equation. Comput. Math. Appl., Vol. 29, pp. 53-76, 1995
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P. Deuflhard, A. Hohmann Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz de Gruyter Textbook. Berlin: De Gruyter, 1995
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P. Deuflhard, M. Wulkow Simulationsverfahren für die Polymerchemie Mathematik in der Praxis. Fallstudien aus Industrie, Wirtschaft, Naturwissenschaften und Medizin, Achim et al. Bachem (Ed.), pp. 117-136, Berlin: Springer-Verlag, 1995
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J. Nadobny, P. Wust, M. Seebass, P. Deuflhard, R. Felix The Use of the Volume-Surface Integral Equation Method (VSIE) for Antenna Problems Proc. COST 244 meeting on Reference Models for Bioelectromagnetic Test of Mobile Communication Systems, Roma, November 1994, D. Simunic (Ed.), pp. 67-74, 1995
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1994

P. Deuflhard, J. Ackermann Adaptive Discrete Galerkin-Methods for Macromolecular Processes Advances in Computational Mathematics, H.P. Dikshit, C.A. Michelli (Eds.), pp. 59-72, World Scientific Publishing Co. Inc., 1994
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P. Deuflhard, J. Ackermann Adaptive discrete Galerkin methods for macromolecular processes proceedings of the conference on advances in computational mathematics, held at New Delhi, India, January 5-9, 1993. Singapore: World Scientific. Ser. Approx. Decompos. 4, H. P. et al. Dikshit (Ed.), pp. 59-72, 1994
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P. Deuflhard Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results Domain decomposition methods in scientific and engineering computing, Contemp. Math., David E. et al. Keyes (Ed.), Vol. 180, pp. 29-42, Providence, RI: American Mathematical Society, 1994
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F. Schmidt, P. Deuflhard Discrete Transparent Boundary Conditions for Fresnel's Equation Integrated Photonics Research, San Francisco, California, USA, February, 17-19, pp. 45-47, 1994
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Jochen Fröhlich, Peter Deuflhard Moving Weight Galerkin Methods for Turbulent Reactive Flows Appeared in: Topics in Industrial Mathematics. Proc. 8th Conf. of the European Consortium for Mathematics in Industry (ECMI 94). H. Neunzert (ed.) Wiley; Teubner 1996, pp. 176-184, PDF (Preprint)



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Claudia Wulff, Andreas Hohmann, Peter Deuflhard Numerical Continuation of Periodic Orbits with Symmetry. ZIB-Report SC-94-12 PDF



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P. Deuflhard, F. Bornemann Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen De Gruyter Lehrbuch. Berlin: de Gruyter, 1994
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R. Schöpf, P. Deuflhard OCCAL. A mixed symbolic-numeric optimal control calculator Computational optimal control, Int. Ser. Numer. Math., R. et al. Bulirsch (Ed.), Vol. 115, pp. 269-278, Birkhäuser Verlag Basel, 1994 PDF (Preprint)


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Peter Deuflhard, Ulrich Nowak, J. Weyer Prognoserechnung zur AIDS-Ausbreitung in der Bundesrepublik Deutschland In: Mathematik in der Praxis. A. Bachem, M. Jünger, R. Schrader (Hrsg.) Springer 1995, S. 361-376, PDF (Preprint)



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Peter Deuflhard, Hans-Christian Hege, E. Sedlmayr Scientific Computing in der Theoretischen Physik - Collected Abstracts Tagung organisiert von der DMV-Fachgruppe Scientific Computing in Kooperation mit dem GAMM Fachausschuss Scientific Computing, Berlin, 16. - 18. März, 1994
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1993

Peter Deuflhard A Study of Lanczos-Type Iterations for Symmetric Indefinite Linear Systems ZIB-Report SC-93-06 PDF



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Peter Deuflhard Cascadic Conjugate Gradient Methods for Elliptic Partial Differential Equations I. Algorithm and Numerical Results. Appeared in: D. E. Keyes, J. Xu (eds.) Domain Decomposition Methods in Science and Engineering. Proc. of the 7th int. conf. on domain decomposition, Oct. 27-30, 1993. Providence, RI: AMS 1994. (Contemporary Math., vol. 180) pp. 29-42, PDF (Preprint)



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Peter Deuflhard, Reinhard Bölling, Raoul H. Bott Materialien zur Euler-Vorlesung in Sanssouci. ZIB-Report TR-93-10 PDF



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P. Deuflhard, A. Hohmann Numerische Mathematik I. Eine algorithmisch orientierte Einführung.(Numerical mathematics I. An algorithmically oriented introduction) de Gruyter Lehrbuch. Berlin: Walter de Gruyter,, 1993
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Martin Seebass, Dennis Sullivan, Peter Wust, Peter Deuflhard, Roland Felix The Berlin Extension of the Stanford Hyperthermia Treatment. ZIB-Report SC-93-35 PDF



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1992

P. Deuflhard, F.A. Potra Asymptotic Mesh Independence for Newton-Galerkin Methods via a Refined Mysovskii Theorem SIAM J. Numer. Anal., Vol. 29, No. 5, pp. 1395-1412, 1992
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P. Deuflhard Stochastic Versus Deterministic Numerical ODE Integration Proc. 1st Workshop on Stochastic Numerics, Berlin, E. Platen (Ed.), pp. 16-20, 1992
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M. Wulkow, P. Deuflhard Towards an Efficient Computational Treatment of Heterogeneous Polymer Reactions Computational Ordinary Differential Equations, S. O. Fatunla (Ed.), pp. 287-306, University Press, Nigeria, 1992 PDF (Preprint)


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1991

Peter Deuflhard, Florian A. Potra A Refined Gauss-Newton- Mysovskii Theorem. cf. P. Deuflhard, A. Hohmann: Numerische Mathematik I, 2nd rev. ed., de Gruyter, Berlin, New York 1993, chapter 4, PDF (Preprint)


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Peter Deuflhard, Ulrich Nowak, Uwe Pöhle, B. Ch. Schmidt, J. Weyer Die Ausbreitung von HIV/AIDS in Ballungsgebieten. ZIB-Report TR-91-09 PDF


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P. Deuflhard Global inexact Newton methods for very large scale nonlinear problems IMPACT Comput. Sci. Eng., Vol. 3, pp. 366-393, 1991 PDF (Preprint)


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P. Deuflhard, A. Hohmann Numerische Mathematik I. Eine algorithmisch orientierte Einführung de Gruyter Lehrbuch,Berlin, 1991
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R. Schöpf, Peter Deuflhard OCCAL: A mixed symbolic- numeric Optimal Control CALculator. Appeared in: Computational Optimal Control. R. Bulirsch (ed.) International Series of Numerical Mathematics Vol. 115, Birkhäuser, 1994, pp. 269-278, PDF (Preprint)


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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, Vol. 7, pp. 157-173, 1991
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1990

Peter Deuflhard, Florian A. Potra Asymptotic Mesh Independence of Newton-Galerkin Methods via a Refined Mysovskii Theorem. Appeared in: SIAM J. Numer. Anal. Vol. 29, pp. 1395-1412, (1992), PDF (Preprint)


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Peter Deuflhard, Andreas Hohmann Einführung in die Numerische Mathematik. Grundlage für P. Deuflhard, A. Hohmann. Numerische Mathematik I. 2. überarb. Aufl. Berlin, New York: de Gruyter 1993, PDF (Preprint)


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P. Deuflhard, R. Freund, A. Walter Fast secant methods for the iterative solution of large nonsymmetric linear systems IMPACT Comput. Sci. Eng., Vol. 2, pp. 244-276, 1990 PDF (Preprint)


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


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P. Deuflhard Uniqueness Theorems for Stiff ODE Initial Value Problems Numerical analysis 1989, proceedings 13th Biennial Conference on Numerical Analysis 1989,, D.F. Griffiths, G. A. Watson (Eds.), pp. 74-205, Dundee, Longman Scientific & Technical, Harlow, Essex, UK,, 1990 PDF (Preprint)


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Peter Deuflhard Zuses Werk weiterdenken. (Vortrag) ZIB-Report TR-90-07 PDF


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1989

P. Deuflhard, M. Wulkow Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable IMPACT Comput. Sci. Eng., Vol. 1, No. 3, pp. 269-301, 1989 PDF (Preprint)


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P. Deuflhard, P. Leinen, H. Yserentant Concepts of an adaptive hierarchical finite element code IMPACT Comput. Sci. Eng., Vol. 1, No. 1, pp. 3-35, 1989 PDF (Preprint)


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P. Deuflhard Numerical Treatment of Implicit Differential Equations and Differential Algebraic Systems ZAMM, Vol. 69, No. 4, pp. T 32, 1989
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P. Wust, J. Nadobny, R. Felix, P. Deuflhard, W. John, A. Louis Numerical approaches to treatment planning in deep RF-hyperthermia Strahlenther Onkol, Vol. 165, No. 10, pp. 751-757, 1989
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Peter Deuflhard Numerik von Anfangswertmethoden für gewöhnliche Differentialgleichungen. ZIB-Report TR-89-02 PDF


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1988

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 Med Instrum, Vol. 22, No. 1, pp. 20-28, 1988
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J. Böck, P. Deuflhard, A. Hoeft, H. Korb, H.G. Wolpers, J. Steinmann, G. Hellige Thermal recovery after passage of the pulmonary circulation assessed by deconvolution J. Appl. Physiol., Vol. 64, No. 3, pp. 1210-1216, 1988
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1987

Peter Deuflhard A Note on Extrapolation Methods for Second Order ODE Systems. ZIB-Report SC-87-05 PDF


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P. Deuflhard, U. Nowak Extrapolation integrators for quasilinear implicit ODEs. Large scale scientific computing, Proc. Meet., Oberwolfach/FRG 1985,, Progress in Scientific Computing, P. Deuflhard, B. Engquist (Eds.), Vol. 7, pp. 37-50, Boston-Basel-Stuttgart: Birkhäuser, 1987
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P. Deuflhard, B. Fiedler, P. Kunkel Numerical Pathfollowing Beyond Critical Points in ODE Models Large Scale Scientific Computing, Progress in Scientific Computing, pp. 97-113, Birkhäuser/Boston, 1987
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P. Deuflhard, E. Hairer, J. Zugck One-step and extrapolation methods for differential-algebraic systems Numer. Math., Vol. 51, pp. 501-516, 1987
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1986

Peter Deuflhard, Ulrich Nowak Efficient Numerical Simulation and Identification of Large Chemical Reaction Systems. Appeared in: Ber. Bunsenges. Phys. Chem., Vol. 90, pp. 940-946 (1986), PDF (Preprint)


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1985

G. Bader, U. Nowak, P. Deuflhard An Advanced Simulation Package for Large Chemical Reaction Systems Stiff Computation. Proc. Intern. Conf. Park City, Utah/USA, April 12-14, 1982, R. Aiken (Ed.), Oxford University Press, 1985
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U. Nowak, P. Deuflhard Numerical Identification of Selected Rate Constants in Large Chemical Reaction Systems Appl. Numer. Math., Vol. 1, pp. 59-75, 1985
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P. Deuflhard Recent Progress in Extrapolation Methods for Ordinary Differential Equations SIAM Rev., Vol. 27, pp. 505-535, 1985
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1984

P. Deuflhard Computation of Periodic Solutions of Nonlinear ODEs BIT, Vol. 24, pp. 456-466, 1984
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P. Deuflhard, B. Fiedler, P. Kunkel Efficient numerical pathfollowing beyond critical points Universität Heidelberg, 1984
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1983

G. Bader, P. Deuflhard A semi-implicit mid-point rule for stiff systems of ordinary differential equations Numer. Math., Vol. 41, pp. 373-398, 1983
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P. Deuflhard, G. Bader Multiple Shooting Techniques Revisited Numerical Treatment of Inverse Problems in Differential and Integral Equations, Progress in Scientific Computing, Vol. 2, pp. 74-94, Boston: Birkhäuser, 1983
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P. Deuflhard Order and Stepsize Control in Extrapolation Methods Numer. Math., Vol. 41, pp. 399-422, 1983
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U. Nowak, P. Deuflhard Towards Parameter Identification for Large Chemical Reaction Systems Numerical Treatment of Inverse Problems in Differential and Integral Equations, Progress in Scientific Computing, Vol. 2, pp. 13-26, Boston: Birkhäuser, 1983
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1981

P. Deuflhard, G. Bader, U. Nowak LARKIN - a Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics Modelling of Chemical Reaction Systems, Vol. 18, pp. 38-55, Springer Verlag, 1981
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1980

P. Deuflhard, V. Apostolescu A Study of the Gauss-Newton Method for the Solution of Nonlinear Least Squares Problems Special Topics of Applied Mathematics, pp. 129-150, Amsterdam: North-Holland Publ., 1980
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P. Deuflhard Kepler discretization in regular celestial mechanics Celestial Mech., Vol. 21, pp. 213-223, 1980
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P. Deuflhard Linear and nonlinear least squares computing in view of control applications Sonderforschungsbereich 123, Stochastische Mathematische Modelle. Universität Heidelberg, 1980
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P. Deuflhard, W. Sautter On Rank-Deficient Pseudoinverses Lin. Alg. Appl., Vol. 29, pp. 91-111, 1980
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P. Deuflhard Recent Advances in Multiple Shooting Techniques Computational Techniques for Ordinary Differential Equations, pp. 217-272, London: Academic Press, 1980
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1979

P. Deuflhard A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques Numer. Math., Vol. 33, pp. 115-146, 1979
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P. Deuflhard A study of extrapolation methods based on multistep schemes without parasitic solutions J.App.Math.Phys.(ZAMP), Vol. 30, pp. 177-189, 1979
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P. Deuflhard, G. Heindl Affine Invariant Convergence Theorems for Newton's Method and Extensions to Related Methods SIAM J. Numer. Anal., Vol. 16, pp. 1-10, 1979
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P. Deuflhard Nonlinear Equation Solvers in Boundary Value Problem Codes Proc. Working Conf. on Codes for BVPs in ODEs, Houston/Texas 1978, Lecture Notes Computer Science, B. Childs, et al. (Eds.), Vol. 74, pp. 40-66, Springer, 1979
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1978

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

P. Deuflhard A Summation Technique for Minimal Solutions of Linear Homogeneous Difference Equations Computing, Vol. 18, pp. 1-13, 1977
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1976

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., Vol. 26, pp. 327-343, 1976
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P. Deuflhard A Stepsize Control for Continuation Methods with Special Application to Multiple Shooting Techniques Habilitation thesis, Mathematics, 1976
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P. Deuflhard On Algorithms for the Summation of Certain Special Functions Computing, Vol. 17, pp. 37-48, 1976
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1975

P. Deuflhard A Relaxation Strategy for the Modified Newton Method Optimization and Optimal Control, Vol. 477, pp. 59-73, Springer, 1975
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1974

P. Deuflhard A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting Numer. Math., Vol. 22, pp. 289-315, 1974
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1972

P. Deuflhard Ein Newton-Verfahren bei fastsingulärer Funktionalmatrix zur Lösung von nichtlinearen Randwertaufgaben mit der Mehrzielmethode Dissertation in Mathematics, 1972
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1968

P. Asam, P. Deuflhard, W. Kaiser Intensity Limiting and Stimulated Brillouin Scattering in Germanium Physics Letters, Vol. 27 A, pp. 78-79, 1968
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P. Deuflhard Stimulierte Brillouinstreuung in Germanium bei 10.6 $\mu$ Diploma thesis in Physics, Munich Institute of Technology 1968
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