TY - JOUR A1 - Nadobny, Jacek A1 - Sullivan, Dennis A1 - Wust, Peter A1 - Seebaß, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A High-Resolution Interpolation at Arbitary Interfaces for the FDTD Method JF - IEEE Trans. Microwave Theory Tech. Y1 - 1998 U6 - https://doi.org/10.1109/22.734576 VL - 46 IS - 11 SP - 1759 EP - 1766 ER - TY - CHAP A1 - Nadobny, Jacek A1 - Wust, Peter A1 - Fähling, Horst A1 - Stalling, Detlev A1 - Seebaß, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Numerical and Experimental Evaluation of E-Field and Absorbed Power in the Pelvic Region Using a Bone-Equivalent Phantom T2 - Proc. PIERS Progress in Electromagnetic Research Symposium Y1 - 1998 SP - 264 CY - Nantes ER - TY - JOUR A1 - Wust, Peter A1 - Gellermann, Johanna A1 - Beier, Jürgen A1 - Wegner, Susan A1 - Tilly, Wolfgang A1 - Tröger, Jens A1 - Stalling, Detlev A1 - Hege, Hans-Christian A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Evaluation of Segmentation Algorithms for Generation of Patient Models in Radiofrequency Hyperthermia JF - Phys. Med. Biol. Y1 - 1998 U6 - https://doi.org/10.1088/0031-9155/43/11/009 VL - 43 (11) SP - 3295 EP - 3307 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Hege, Hans-Christian T1 - Scientific Computing in der Theoretischen Physik - Collected Abstracts T2 - Tagung organisiert von der DMV-Fachgruppe Scientific Computing in Kooperation mit dem GAMM Fachausschuss Scientific Computing Y1 - 1994 CY - Berlin ER - TY - CHAP A1 - Nadobny, Jacek A1 - Wust, Peter A1 - Wlodarczyk, Waldemar A1 - Seebaß, Martin A1 - Deuflhard, Peter A1 - Mönich, Gerhard A1 - Felix, Roland T1 - Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems T2 - Proceedings of the 17th Congress on Hyperthermic Oncology Y1 - 1996 VL - 2 SP - 549 EP - 551 CY - Rome, Italy ER - TY - CHAP A1 - Seebaß, Martin A1 - Stalling, Detlev A1 - Nadobny, Jacek A1 - Wust, Peter A1 - Felix, Roland A1 - Deuflhard, Peter T1 - Three-Dimensional Finite Elements Mesh Generation for Numerical Simulations of Hyperthermia Treatments T2 - Proceedings of the 17th Congress on Hyperthermic Oncology Y1 - 1996 VL - 2 SP - 547 EP - 548 CY - Rome, Italy ER - TY - CHAP A1 - Stalling, Detlev A1 - Seebaß, Martin A1 - Hege, Hans-Christian A1 - Wust, Peter A1 - Deuflhard, Peter A1 - Felix, Roland T1 - HyperPlan - an Integrated System for Treatment Planning in Regional Hyperthermia T2 - Proceedings of the 17th Congress on Hyperthermic Oncology Y1 - 1996 VL - 2 SP - 552 EP - 554 CY - Rome, Italy ER - TY - JOUR A1 - Wust, Peter A1 - Seebaß, Martin A1 - Nadobny, Jacek A1 - Deuflhard, Peter A1 - Mönich, Gerhard A1 - Felix, Roland T1 - Simulation Studies Promote Technological Development of Radiofrequency Phased Array Hyperthermia JF - Int. Journal of Hyperthermia Y1 - 1996 VL - 12 SP - 477 EP - 494 ER - TY - GEN A1 - Weiser, Martin A1 - Erdmann, Bodo A1 - Deuflhard, Peter ED - Wilson, E. ED - Fitt, A. ED - Ockendon, H. ED - Norbury, J. T1 - On Efficiency and Accuracy in Cardioelectric Simulation T2 - Progress in Industrial Mathematics at ECMI 2008 N2 - Reasons for the failure of adaptive methods to deliver improved efficiency when integrating monodomain models for myocardiac excitation are discussed. Two closely related techniques for reducing the computational complexity of linearly implicit integrators, deliberate sparsing and splitting, are investigated with respect to their impact on computing time and accuracy. Y1 - 2010 SP - 371 EP - 376 PB - Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Schiela, Anton A1 - Weiser, Martin T1 - Mathematical Cancer Therapy Planning in Deep Regional Hyperthermia JF - Acta Numerica N2 - This paper surveys the required mathematics for a typical challenging problem from computational medicine, the cancer therapy planning in deep regional hyperthermia. In the course of many years of close cooperation with clinics, the medical problem gave rise to quite a number of subtle mathematical problems, part of which had been unsolved when the common project started. Efficiency of numerical algorithms, i.e. computational speed and monitored reliability, play a decisive role for the medical treatment. Off-the-shelf software had turned out to be not sufficient to meet the requirements of medicine. Rather, new mathematical theory as well as new numerical algorithms had to be developed. In order to make our algorithms useful in the clinical environment, new visualization software, a virtual lab, including 3D geometry processing of individual virtual patients had to be designed and implemented. Moreover, before the problems could be attacked by numerical algorithms, careful mathematical modelling had to be done. Finally, parameter identification and constrained optimization for the PDEs had to be newly analyzed and realized over the individual patient's geometry. Our new techniques had an impact on the specificity of the individual patients' treatment and on the construction of an improved hyperthermia applicator. Y1 - 2012 VL - 21 SP - 307 EP - 378 ER - TY - GEN A1 - Deuflhard, Peter A1 - Hege, Hans-Christian ED - Lepper, Verena ED - Deuflhard, Peter ED - Markschies, Christoph T1 - Raumtiefe in Malerei und Computergrafik T2 - Räume - Bilder - Kulturen N2 - Einführung: Die Tiefenwirkung dreidimensionaler Räume in einem zweidimensionalen Bild einzufangen, ist ein Faszinosum nahezu aller Kulturen der Menschheitsgeschichte. Der vorliegende Aufsatz folgt den Spuren dieses Faszinosums, vergleichend in der Malerei und der mathematisierten Computergrafik. Die Entdeckung der Zentralperspektive in der italienischen Renaissance zeigt bereits den engen Zusammenhang von Malerei und Mathematik. Auf der Suche nach Maltechniken, mit denen Raumtiefe bildnerisch dargestellt werden kann, beginnen wir in Kap. 2 mit einem chronologischen Gang durch verschiedene Epochen der europäischen Malerei. Hieraus abgeleitete Prinzipien, soweit sie im Rechner realisierbar scheinen, stellen wir in Kap. 3 am Beispiel moderner Methoden der mathematischen Visualisierung vor. Y1 - 2015 SN - 978-3-11-035993-0 SP - 33 EP - 46 PB - Walter De Gruyter ER - TY - BOOK ED - Lepper, Verena ED - Deuflhard, Peter ED - Markschies, Christoph T1 - Räume - Bilder - Kulturen Y1 - 2015 SN - 978-3-11-035993-0 PB - De Gruyter ER - TY - BOOK ED - Deuflhard, Peter ED - Grötschel, Martin ED - Hömberg, Dietmar ED - Horst, Ulrich ED - Kramer, Jürg ED - Mehrmann, Volker ED - Polthier, Konrad ED - Schmidt, Frank ED - Schütte, Christof ED - Skutella, Martin ED - Sprekels, Jürgen T1 - MATHEON - Mathematics for Key Technologies Y1 - 2014 SN - 978-3-03719-137-8 U6 - https://doi.org/10.4171/137 VL - 1 PB - European Mathematical Society ER - TY - GEN A1 - Deuflhard, Peter T1 - The Grand Four N2 - This paper gives a concise synopsis and some new insights concerning four affine invariant globalizations of the local Newton method. The invariance classes include: affine covariance, affine contravariance, affine conjugacy, and affine similarity. In view of algorithmic robustness, each of these classes of algorithms is particularly suitable for some corresponding problem class. T3 - ZIB-Report - 17-70 Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-66038 SN - 1438-0064 ER - TY - JOUR A1 - Wust, Peter A1 - Nadobny, Johanna A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Gellermann, Johanna A1 - Hege, Hans-Christian A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Influence of patient models and numerical methods on predicted power deposition patterns JF - Int. J. Hyperthermia Y1 - 1999 VL - 15 IS - 6 SP - 519 EP - 540 ER - TY - JOUR A1 - Wust, Peter A1 - Seebass, Martin A1 - Nadobny, Johanna A1 - Deuflhard, Peter A1 - Mönich, Gerhard A1 - Felix, Roland T1 - Simulation studies promote technological development of radiofrequency phased array hyperthermia JF - Int J Hyperthermia Y1 - 1996 VL - 12 IS - 4 SP - 477 EP - 494 ER - TY - RPRT A1 - Deuflhard, Peter A1 - Fiedler, B. A1 - Kunkel, P. T1 - Efficient numerical pathfollowing beyond critical points Y1 - 1984 IS - 278 PB - Universität Heidelberg ER - TY - JOUR A1 - Röblitz, Susanna A1 - Stötzel, Claudia A1 - Deuflhard, Peter A1 - Jones, Hannah M. A1 - Azulay, David-Olivier A1 - van der Graaf, Piet A1 - Martin, Steven T1 - A mathematical model of the human menstrual cycle for the administration of GnRH analogues JF - Journal of Theoretical Biology Y1 - 2013 U6 - https://doi.org/10.1016/j.jtbi.2012.11.020 VL - 321 SP - 8 EP - 27 ER - TY - CHAP A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Nadobny, Johanna A1 - Wust, Peter A1 - Felix, Roland A1 - Deuflhard, Peter ED - Franconi, Cafiero T1 - Three-Dimensional Finite Element Mesh Generation for Numerical Simulations of Hyperthermia Treatments T2 - Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996 Y1 - 1996 VL - 2 SP - 547 EP - 548 ER - TY - CHAP A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Zöckler, M. A1 - Hege, Hans-Christian A1 - Wust, Peter A1 - Felix, Roland A1 - Deuflhard, Peter T1 - Surface Mesh Generation for Numerical Simulations of Hyperthermia Treatments T2 - Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997 Y1 - 1997 SP - 146 ER -