@article{NadobnySullivanWustetal.1998, author = {Nadobny, Jacek and Sullivan, Dennis and Wust, Peter and Seebaß, Martin and Deuflhard, Peter and Felix, Roland}, title = {A High-Resolution Interpolation at Arbitary Interfaces for the FDTD Method}, series = {IEEE Trans. Microwave Theory Tech.}, volume = {46}, journal = {IEEE Trans. Microwave Theory Tech.}, number = {11}, doi = {10.1109/22.734576}, pages = {1759 -- 1766}, year = {1998}, language = {en} } @inproceedings{NadobnyWustFaehlingetal.1998, author = {Nadobny, Jacek and Wust, Peter and F{\"a}hling, Horst and Stalling, Detlev and Seebaß, Martin and Deuflhard, Peter and Felix, Roland}, title = {Numerical and Experimental Evaluation of E-Field and Absorbed Power in the Pelvic Region Using a Bone-Equivalent Phantom}, series = {Proc. PIERS Progress in Electromagnetic Research Symposium}, booktitle = {Proc. PIERS Progress in Electromagnetic Research Symposium}, address = {Nantes}, pages = {264}, year = {1998}, language = {en} } @article{WustGellermannBeieretal.1998, author = {Wust, Peter and Gellermann, Johanna and Beier, J{\"u}rgen and Wegner, Susan and Tilly, Wolfgang and Tr{\"o}ger, Jens and Stalling, Detlev and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Evaluation of Segmentation Algorithms for Generation of Patient Models in Radiofrequency Hyperthermia}, series = {Phys. Med. Biol.}, volume = {43 (11)}, journal = {Phys. Med. Biol.}, doi = {10.1088/0031-9155/43/11/009}, pages = {3295 -- 3307}, year = {1998}, language = {en} } @inproceedings{DeuflhardHege1994, author = {Deuflhard, Peter and Hege, Hans-Christian}, title = {Scientific Computing in der Theoretischen Physik - Collected Abstracts}, series = {Tagung organisiert von der DMV-Fachgruppe Scientific Computing in Kooperation mit dem GAMM Fachausschuss Scientific Computing}, booktitle = {Tagung organisiert von der DMV-Fachgruppe Scientific Computing in Kooperation mit dem GAMM Fachausschuss Scientific Computing}, address = {Berlin}, year = {1994}, language = {en} } @inproceedings{NadobnyWustWlodarczyketal.1996, author = {Nadobny, Jacek and Wust, Peter and Wlodarczyk, Waldemar and Seebaß, Martin and Deuflhard, Peter and M{\"o}nich, Gerhard and Felix, Roland}, title = {Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems}, series = {Proceedings of the 17th Congress on Hyperthermic Oncology}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {549 -- 551}, year = {1996}, language = {en} } @inproceedings{SeebassStallingNadobnyetal.1996, author = {Seebaß, Martin and Stalling, Detlev and Nadobny, Jacek and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Three-Dimensional Finite Elements Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, series = {Proceedings of the 17th Congress on Hyperthermic Oncology}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {547 -- 548}, year = {1996}, language = {en} } @inproceedings{StallingSeebassHegeetal.1996, author = {Stalling, Detlev and Seebaß, Martin and Hege, Hans-Christian and Wust, Peter and Deuflhard, Peter and Felix, Roland}, title = {HyperPlan - an Integrated System for Treatment Planning in Regional Hyperthermia}, series = {Proceedings of the 17th Congress on Hyperthermic Oncology}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {552 -- 554}, year = {1996}, language = {en} } @article{WustSeebassNadobnyetal.1996, author = {Wust, Peter and Seebaß, Martin and Nadobny, Jacek and Deuflhard, Peter and M{\"o}nich, Gerhard and Felix, Roland}, title = {Simulation Studies Promote Technological Development of Radiofrequency Phased Array Hyperthermia}, series = {Int. Journal of Hyperthermia}, volume = {12}, journal = {Int. Journal of Hyperthermia}, pages = {477 -- 494}, year = {1996}, language = {en} } @misc{WeiserErdmannDeuflhard, author = {Weiser, Martin and Erdmann, Bodo and Deuflhard, Peter}, title = {On Efficiency and Accuracy in Cardioelectric Simulation}, series = {Progress in Industrial Mathematics at ECMI 2008}, journal = {Progress in Industrial Mathematics at ECMI 2008}, editor = {Wilson, E. and Fitt, A. and Ockendon, H. and Norbury, J.}, publisher = {Springer}, pages = {371 -- 376}, abstract = {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.}, language = {en} } @article{DeuflhardSchielaWeiser, author = {Deuflhard, Peter and Schiela, Anton and Weiser, Martin}, title = {Mathematical Cancer Therapy Planning in Deep Regional Hyperthermia}, series = {Acta Numerica}, volume = {21}, journal = {Acta Numerica}, pages = {307 -- 378}, abstract = {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.}, language = {en} } @misc{DeuflhardHege, author = {Deuflhard, Peter and Hege, Hans-Christian}, title = {Raumtiefe in Malerei und Computergrafik}, series = {R{\"a}ume - Bilder - Kulturen}, journal = {R{\"a}ume - Bilder - Kulturen}, editor = {Lepper, Verena and Deuflhard, Peter and Markschies, Christoph}, publisher = {Walter De Gruyter}, isbn = {978-3-11-035993-0}, pages = {33 -- 46}, abstract = {Einf{\"u}hrung: Die Tiefenwirkung dreidimensionaler R{\"a}ume 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 europ{\"a}ischen Malerei. Hieraus abgeleitete Prinzipien, soweit sie im Rechner realisierbar scheinen, stellen wir in Kap. 3 am Beispiel moderner Methoden der mathematischen Visualisierung vor.}, language = {de} } @book{OPUS4-5717, title = {R{\"a}ume - Bilder - Kulturen}, editor = {Lepper, Verena and Deuflhard, Peter and Markschies, Christoph}, publisher = {De Gruyter}, isbn = {978-3-11-035993-0}, language = {de} } @book{OPUS4-5024, title = {MATHEON - Mathematics for Key Technologies}, volume = {1}, editor = {Deuflhard, Peter and Gr{\"o}tschel, Martin and H{\"o}mberg, Dietmar and Horst, Ulrich and Kramer, J{\"u}rg and Mehrmann, Volker and Polthier, Konrad and Schmidt, Frank and Sch{\"u}tte, Christof and Skutella, Martin and Sprekels, J{\"u}rgen}, publisher = {European Mathematical Society}, isbn = {978-3-03719-137-8}, doi = {10.4171/137}, language = {en} } @misc{Deuflhard, author = {Deuflhard, Peter}, title = {The Grand Four}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-66038}, abstract = {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.}, language = {en} } @article{WustNadobnySeebassetal.1999, author = {Wust, Peter and Nadobny, Johanna and Seebass, Martin and Stalling, Detlev and Gellermann, Johanna and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Influence of patient models and numerical methods on predicted power deposition patterns}, series = {Int. J. Hyperthermia}, volume = {15}, journal = {Int. J. Hyperthermia}, number = {6}, pages = {519 -- 540}, year = {1999}, language = {en} } @article{WustSeebassNadobnyetal.1996, author = {Wust, Peter and Seebass, Martin and Nadobny, Johanna and Deuflhard, Peter and M{\"o}nich, Gerhard and Felix, Roland}, title = {Simulation studies promote technological development of radiofrequency phased array hyperthermia}, series = {Int J Hyperthermia}, volume = {12}, journal = {Int J Hyperthermia}, number = {4}, pages = {477 -- 494}, year = {1996}, language = {en} } @techreport{DeuflhardFiedlerKunkel1984, author = {Deuflhard, Peter and Fiedler, B. and Kunkel, P.}, title = {Efficient numerical pathfollowing beyond critical points}, number = {278}, publisher = {Universit{\"a}t Heidelberg}, year = {1984}, language = {en} } @article{RoeblitzStoetzelDeuflhardetal.2013, author = {R{\"o}blitz, Susanna and St{\"o}tzel, Claudia and Deuflhard, Peter and Jones, Hannah M. and Azulay, David-Olivier and van der Graaf, Piet and Martin, Steven}, title = {A mathematical model of the human menstrual cycle for the administration of GnRH analogues}, series = {Journal of Theoretical Biology}, volume = {321}, journal = {Journal of Theoretical Biology}, doi = {10.1016/j.jtbi.2012.11.020}, pages = {8 -- 27}, year = {2013}, language = {en} } @inproceedings{SeebassStallingNadobnyetal.1996, author = {Seebass, Martin and Stalling, Detlev and Nadobny, Johanna and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Three-Dimensional Finite Element Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, series = {Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996}, volume = {2}, booktitle = {Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996}, editor = {Franconi, Cafiero}, pages = {547 -- 548}, year = {1996}, language = {en} } @inproceedings{SeebassStallingZoeckleretal.1997, author = {Seebass, Martin and Stalling, Detlev and Z{\"o}ckler, M. and Hege, Hans-Christian and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Surface Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, series = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, booktitle = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, pages = {146}, year = {1997}, language = {en} }