TY - CHAP A1 - Nadobny, Jacek A1 - Wlodarczyk, Waldemar A1 - Wust, Peter A1 - Mönich, Gerhard A1 - Deuflhard, Peter A1 - Felix, Roland T1 - 3D Phased Array Applicator for Hyperthermia Treatment in Pelvis T2 - Proc. XXVIth General Assembly of International Union of Radio Science (URSI) Y1 - 1999 SP - 648 CY - Toronto Ontario Canada ER - TY - CHAP A1 - Wlodarczyk, Waldemar A1 - Nadobny, Jacek A1 - Wust, Peter A1 - Mönich, Gerhard A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Systematic Design of Antennas for a Cylindrical 3D Phased Array Hyperthermia Applicator T2 - Proc. 1999 IEEE Antennas and Propagation Society International Symposium Y1 - 1999 U6 - https://doi.org/10.1109/APS.1999.789482 SP - 1004 EP - 1007 CY - Orlando, FL ER - TY - JOUR A1 - Wust, Peter A1 - Nadobny, Jacek A1 - Seebaß, Martin A1 - Stalling, Detlev A1 - Gellermann, Johanna A1 - Hege, Hans-Christian A1 - Deuflhard, Peter T1 - Influence of Patient Models and Numerical Methods on Predicted Power Deposition Patterns JF - Int. Journal Hyperthermia Y1 - 1999 VL - 15 IS - 6 SP - 519 EP - 540 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebaß, Martin ED - Lai, Choi-Hong ED - Bjorstad, Petter ED - Cross, Mark ED - Widlund, Olof T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyerthermia T2 - Proc. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering Y1 - 1998 SP - 410 EP - 421 CY - Greenwich, UK ER - TY - CHAP A1 - Seebaß, Martin A1 - Stalling, Detlev A1 - Hege, Hans-Christian A1 - Wust, Peter A1 - Felix, Roland A1 - Deuflhard, Peter T1 - New Features of HyperPlan, a Hyperthermia Planning System T2 - Proc. Hyperthermia in Clincal Oncology Y1 - 1998 SP - 16 CY - Venice ER - TY - GEN A1 - Moualeu-Ngangue, Dany Pascal A1 - Röblitz, Susanna A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Parameter Identification for a Tuberculosis Model in Cameroon N2 - A deterministic model of tuberculosis in sub-Saharan Africa in general and Cameroon in particular including lack of access to the treatment and weak diagnose capacity is designed and analyzed with respect to its transmission dynamics. The model includes both frequency- and density-dependent transmissions. It is shown that the model is mathematically well-posed and epidemiologically reasonable. Solutions are non-negative and bounded whenever the initial values are non-negative. A sensitivity analysis of model parameters is performed and most sensitive parameters of the model are identified using a state-of-the-art Gauss-Newton Method. In particular, parameters representing the proportion of individuals having access to medical facilities have a large impact on the dynamics of the disease. It has been shown that an increase of these parameter values over the time can significantly reduce the disease burden in the population within the next 15 years. T3 - ZIB-Report - 13-72 KW - Tuberculosis, parameter identification, sensitivity analysis, Gauss-Newton method, Nonlinear dynamical systems. Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43087 SN - 1438-0064 ER - TY - GEN A1 - Moualeu-Ngangue, Dany Pascal A1 - Weiser, Martin A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Optimal control for a tuberculosis model with undetected cases in Cameroon N2 - This paper considers the optimal control of tuberculosis through education, diagnosis campaign and chemoprophylaxis of latently infected. A mathematical model which includes important components such as undiagnosed infectious, diagnosed infectious, latently infected and lost-sight infectious is formulated. The model combines a frequency dependent and a density dependent force of infection for TB transmission. Through optimal control theory and numerical simulations, a cost-effective balance of two different intervention methods is obtained. Seeking to minimize the amount of money the government spends when tuberculosis remain endemic in the Cameroonian population, Pontryagin's maximum principle is used to characterize the optimal control. The optimality system is derived and solved numerically using the forward-backward sweep method (FBSM). Results provide a framework for designing cost-effective strategies for diseases with multiple intervention methods. It comes out that combining chemoprophylaxis and education, the burden of TB can be reduced by 80 % in 10 years T3 - ZIB-Report - 13-73 KW - Tuberculosis KW - Optimal control KW - Nonlinear dynamical systems Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43142 SN - 1438-0064 ER - TY - JOUR A1 - Deuflhard, Peter T1 - The Grand Four. Affine Invariant Globalizations of Newton's Method JF - Vietnam Journal of Mathematics Y1 - 2018 U6 - https://doi.org/10.1007/s10013-018-0301-3 VL - 46 IS - 4 SP - 761 EP - 777 ER - TY - GEN A1 - Nägel, Arne A1 - Deuflhard, Peter A1 - Wittum, Gabriel T1 - Efficient Stiff Integration of Density Driven Flow Problems N2 - The paper investigates the efficient use of a linearly implicit stiff integrator for the numerical solution of density driven flow problems. Upon choosing a one-step method of extrapolation type (code LIMEX), the use of full Jacobians and reduced approximations are discussed. Numerical experiments include nonlinear density flow problems such as diffusion from a salt dome (2D), a (modified) Elder problem (3D), the saltpool benchmark (3D) and a real life salt dome problem (2D). The arising linear equations are solved using either a multigrid preconditioner from the software package UG4 or the sparse matrix solver SuperLU. T3 - ZIB-Report - 18-54 KW - stiff integration for PDEs KW - linearly implicit Euler discretization Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-70891 SN - 1438-0064 ER - TY - JOUR A1 - Hochmuth, Reinhard A1 - Deuflhard, Peter T1 - Multiscale Analysis for the Bio-Heat-Transfer Equation - The Nonisolated Case JF - Mathematical Models and Methods in Applied Sciences (M$^3$AS) Y1 - 2004 VL - 14 IS - 11 SP - 1621 EP - 1634 ER - TY - CHAP A1 - Galliat, Tobias A1 - Deuflhard, Peter A1 - Roitzsch, Rainer A1 - Cordes, Frank ED - Schlick, T. ED - Gan, H. T1 - Automatic Identification of Metastable Conformations via Self-Organized Neural Networks T2 - Computational Methods for Macromolecules Y1 - 2002 UR - http://www.zib.de/PaperWeb/abstracts/ZR-00-51 IS - 24 PB - Springer ER - TY - CHAP A1 - Galliat, Tobias A1 - Huisinga, Wilhelm A1 - Deuflhard, Peter ED - H. Bothe, R. T1 - Self-Organizing Maps Combined with Eigenmode Analysis for Automated Cluster Identification T2 - Neural Computation, ICSC Academic Press Y1 - 2000 SP - 227 EP - 232 ER - TY - JOUR A1 - Gellermann, Johanna A1 - Wust, Peter A1 - Stalling, Detlev A1 - Seebass, Martin A1 - Nadobny, Johanna A1 - Beck, Rudolf A1 - Hege, Hans-Christian A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Clinical evaluation and verification of the hyperthermia treatment planning system hyperplan JF - Int J Radiat Oncol Biol Phys Y1 - 2000 VL - 47 IS - 4 SP - 1145 EP - 1156 ER - TY - CHAP A1 - Gellermann, Johanna A1 - Wust, Peter A1 - Stalling, Detlev A1 - Tilly, Wolfgang A1 - Nadobny, Johanna A1 - Seebass, Martin A1 - Deuflhard, Peter A1 - Felix, Roland A1 - Budach, Volker T1 - First Clinical Experiences with the Hyperthermia Planning System HyperPlan T2 - Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997 Y1 - 1997 SP - 79 ER - TY - JOUR A1 - Hochmuth, Reinhard A1 - Deuflhard, Peter T1 - On the thermoregulation in the human microvascular system JF - PAMM Y1 - 2003 VL - 3 SP - 378 EP - 379 ER - TY - CHAP A1 - Friese, T. A1 - Deuflhard, Peter A1 - Schmidt, Frank ED - Lai, Choi-Hong ED - Bjørstad, Petter E. ED - Cross, Mark ED - Widlund, Olof T1 - A Multigrid Method for the Complex Helmholtz Eigenvalue Problem T2 - Procs. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering (DD11), UK Y1 - 1999 SP - 19 EP - 26 PB - DDM.org ER - TY - CHAP A1 - Galliat, Tobias A1 - Deuflhard, Peter A1 - Roitzsch, Rainer A1 - Cordes, Frank T1 - Automatic identification of metastable conformations via self-organized neural networks T2 - Proceedings of the 3rd International Workshop on Algorithms for Macromolecular Modelling Y1 - 2002 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Wulkow, Michael T1 - Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable JF - IMPACT Comput. Sci. Eng. Y1 - 1989 VL - 1 IS - 3 SP - 269 EP - 301 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Wulkow, Michael ED - et al. Bachem, Achim T1 - Simulationsverfahren für die Polymerchemie T2 - Mathematik in der Praxis. Fallstudien aus Industrie, Wirtschaft, Naturwissenschaften und Medizin Y1 - 1995 SP - 117 EP - 136 PB - Berlin: Springer-Verlag ER - TY - CHAP A1 - Deuflhard, Peter T1 - Painters, Murderers, Mathematicians T2 - Mathematics and Culture in Europe. Mathematics in Art, Technology, Cinema, and Theatre Y1 - 2007 SP - 141 EP - 152 PB - Springer-Verlag ER - TY - GEN ED - Deuflhard, Peter ED - Hermans, J. ED - Leimkuhler, Benedict ED - Mark, A. ED - Reich, Sebastian ED - Skeel, B. T1 - Computational Molecular Dynamics: Challenges, Methods, Ideas T2 - Lecture Notes in Computational Science and Engineering Y1 - 1999 U6 - https://doi.org/10.1007/978-3-642-58360-5 VL - 4 PB - Springer ER - TY - CHAP A1 - Fischer, Alexander A1 - Schütte, Christof A1 - Deuflhard, Peter A1 - Cordes, Frank ED - Schlick, T. ED - Gan, H. T1 - Hierarchical Uncoupling-Coupling of Metastable Conformations T2 - Computational Methods for Macromolecules Y1 - 2002 UR - http://www.zib.de/PaperWeb/abstracts/ZR-01-03 IS - 24 SP - 235 EP - 259 PB - Springer ER - TY - CHAP A1 - Fröhlich, Jochen A1 - Deuflhard, Peter ED - Neunzert, H. T1 - An adaptive Galerkin method for the PDF transport equation of turbulent reactive flows T2 - Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94) Y1 - 1996 SP - 176 EP - 184 PB - Wiley & Teubner ER - TY - CHAP A1 - Ehrig, Rainald A1 - Nowak, Ulrich A1 - Oeverdieck, Lars A1 - Deuflhard, Peter ED - H.-J. Bungartz, F. T1 - Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems T2 - High Performance Scientific and Engineering Computing Y1 - 1999 VL - 8 SP - 233 EP - 244 PB - Springer Verlag ER - TY - JOUR A1 - Ehrig, Rainald A1 - Ofenloch, O. A1 - Schaber, Karlheinz A1 - Deuflhard, Peter T1 - Modelling and Simulation of Aerosol Formation by Heterogeneous Nucleation in Gas-Liquid Contact Devices JF - Chem.Eng.Sci. Y1 - 2002 VL - 57 IS - 7 SP - 1151 EP - 1163 ER - TY - CHAP A1 - Erdmann, Bodo A1 - Kober, C. A1 - Lang, Jens A1 - Deuflhard, Peter A1 - Zeilhofer, J. A1 - Sader, Robert T1 - Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible T2 - proceedings of 9th Workshop on The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields Y1 - 2002 CY - Ulm, Germany ER - TY - BOOK ED - Ebert, K. ED - Deuflhard, Peter ED - Jäger, Willi T1 - Modelling of Chemical Reaction Systems T3 - Series in Chemical Physics Y1 - 1981 IS - 18 PB - Springer Verlag ER - TY - CHAP A1 - Ehrig, Rainald A1 - Nowak, Ulrich A1 - Deuflhard, Peter ED - Khoroshevsky, V. T1 - Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms T2 - Procs. 16th International Workshop on Distributed Data Processing, Novosibirsk, Russia Y1 - 1998 SP - 1 EP - 6 ER - TY - JOUR A1 - Gladilin, Evgeny A1 - Zachow, Stefan A1 - Deuflhard, Peter A1 - Hege, Hans-Christian T1 - A nonlinear elastic soft tissue model for craniofacial surgery simulations JF - ESAIM, Proc. Y1 - 2002 U6 - https://doi.org/10.1051/proc:2002011 VL - 12 SP - 61 EP - 66 ER - TY - CHAP A1 - Gladilin, Evgeny A1 - Zachow, Stefan A1 - Deuflhard, Peter A1 - Hege, Hans-Christian T1 - A nonlinear soft tissue model for craniofacial surgery simulations T2 - Proc. of Modeling and Simulation for Computer-aided Medicine and Surgery (MS4CMS Y1 - 2002 PB - INRIA CY - Paris, France ER - TY - CHAP A1 - Gladilin, Evgeny A1 - Zachow, Stefan A1 - Deuflhard, Peter A1 - Hege, Hans-Christian T1 - Biomechanical modeling of individual facial emotion expressions T2 - Proc. of Visualization, Imaging, and Image Processing (VIIP) Y1 - 2002 SP - 7 EP - 11 CY - Malaga, Spain ER - TY - CHAP A1 - Gladilin, Evgeny A1 - Zachow, Stefan A1 - Deuflhard, Peter A1 - Hege, Hans-Christian ED - Meiler, M. ED - Saupe, D. ED - Krugel, F. ED - Handels, H. ED - Lehmann, T. T1 - Biomechanisches Modell zur Abschätzung der individuellen Gesichtsmimik T2 - Proc.of Workshop Bildverarbeitung für die Medizin (BVM) Y1 - 2002 SP - 25 EP - 28 CY - Leipzig, Germany ER - TY - JOUR A1 - Deuflhard, Peter T1 - Kepler discretization in regular celestial mechanics JF - Celestial Mech. Y1 - 1980 VL - 21 SP - 213 EP - 223 ER - TY - JOUR A1 - Bader, G. A1 - Deuflhard, Peter T1 - A semi-implicit mid-point rule for stiff systems of ordinary differential equations JF - Numer. Math. Y1 - 1983 VL - 41 SP - 373 EP - 398 ER - TY - JOUR A1 - Deuflhard, Peter T1 - Order and Stepsize Control in Extrapolation Methods JF - Numer. Math. Y1 - 1983 VL - 41 SP - 399 EP - 422 ER - TY - JOUR A1 - Deuflhard, Peter T1 - Computation of Periodic Solutions of Nonlinear ODEs JF - BIT Y1 - 1984 VL - 24 SP - 456 EP - 466 ER - TY - JOUR A1 - Deuflhard, Peter T1 - Recent Progress in Extrapolation Methods for Ordinary Differential Equations JF - SIAM Rev. Y1 - 1985 VL - 27 SP - 505 EP - 535 ER - TY - JOUR A1 - Deuflhard, Peter T1 - Numerical Treatment of Implicit Differential Equations and Differential Algebraic Systems JF - ZAMM Y1 - 1989 VL - 69 IS - 4 SP - T32 ER - TY - CHAP A1 - Deuflhard, Peter ED - Griffiths, D. ED - Watson, G. T1 - Uniqueness Theorems for Stiff ODE Initial Value Problems T2 - Numerical analysis 1989, proceedings 13th Biennial Conference on Numerical Analysis 1989, Y1 - 1990 SP - 74 EP - 205 PB - Dundee, Longman Scientific & Technical, Harlow, Essex, UK, ER - TY - JOUR A1 - Deuflhard, Peter T1 - Global inexact Newton methods for very large scale nonlinear problems JF - IMPACT Comput. Sci. Eng. Y1 - 1991 VL - 3 SP - 366 EP - 393 ER - TY - CHAP A1 - Deuflhard, Peter ED - Platen, E. T1 - Stochastic Versus Deterministic Numerical ODE Integration T2 - Proc. 1st Workshop on Stochastic Numerics, Berlin Y1 - 1992 SP - 16 EP - 20 ER - TY - CHAP A1 - Deuflhard, Peter ED - et al. Keyes, David T1 - Cascadic conjugate gradient methods for elliptic partial differential equations T2 - Domain decomposition methods in scientific and engineering computing Y1 - 1994 VL - 180 SP - 29 EP - 42 PB - Providence, RI: American Mathematical Society ER - TY - CHAP A1 - Lang, Jens A1 - Erdmann, Bodo A1 - Kober, Cornelia A1 - Deuflhard, Peter A1 - Sader, Robert A1 - Zeilhofer, Hans-Florian ED - Alt, Walter ED - Hermann, Martin T1 - Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers T2 - Berichte des IZWR - Interdisziplinäres Zentrum für Wissenschaftliches Rechnen Y1 - 2003 VL - 1 SP - 49 EP - 57 PB - Universität Jena CY - Germany ER - TY - CHAP A1 - Lamecker, Hans A1 - Seebaß, Martin A1 - Hege, Hans-Christian A1 - Deuflhard, Peter ED - Fitzpatrick, J. ED - Sonka, Milan T1 - A 3d statistical shape model of the pelvic bone for segmentation T2 - Proc. SPIE Medical Imaging 2004 Y1 - 2004 VL - 5370 SP - 1341 EP - 1351 ER - TY - CHAP A1 - Lamecker, Hans A1 - Seebass, Martin A1 - Lange, Thomas A1 - Hege, Hans-Christian A1 - Deuflhard, Peter ED - Westwood, J. T1 - Visualization of the variability of 3D statistical shape models by animation T2 - Proc. Medicine Meets Virtual Reality Y1 - 2004 VL - 98 SP - 190 EP - 196 PB - IOS Press ER - TY - JOUR A1 - Nadobny, Johanna A1 - Pontalti, R. A1 - Sullivan, Dennis A1 - Wlodarczyk, Waldemar A1 - Vaccari, A. A1 - Deuflhard, Peter A1 - Wust, Peter T1 - A Thin-Rod Approximation for the Improved Modeling of Bare and Insulated Cylindrical Antennas Using the FDTD Method JF - IEEE Transactions on Antennas and Propagation Y1 - 2003 VL - 51 IS - 8 SP - 1780 EP - 1796 ER - TY - JOUR A1 - Nadobny, Johanna A1 - Sullivan, Dennis A1 - Wlodarczyk, Waldemar A1 - Deuflhard, Peter A1 - Wust, Peter T1 - A 3-D Tensor FDTD-Formulation for Treatment of Sloped Interfaces in Electrically Inhomogeneous Media JF - IEEE Transactions on Antennas and Propagation Y1 - 2003 VL - 51 IS - 8 SP - 1760 EP - 1770 ER - TY - CHAP A1 - Nadobny, Johanna A1 - Sullivan, Dennis A1 - Wust, Peter A1 - Seebass, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A High Resolution Interpretation at Arbitrary Interfaces for the FDTD Method T2 - IEEE Transactions on Microwave Theory and Techniques Y1 - 1998 VL - 46 IS - 11 SP - 1759 EP - 1766 ER - TY - CHAP A1 - Nadobny, Johanna A1 - Wlodarczyk, Waldemar A1 - Deuflhard, Peter A1 - Mönich, Gerhard A1 - Wust, Peter ED - Stuchly, M. ED - Shannon, D. T1 - Numerical and Experimental Investigations of Different Antenna Types for Deep Body Hyperthermia T2 - Proc. 2001 URSI International Symposium on electromagnetic Theory Y1 - 2001 SP - 473 EP - 475 ER - TY - CHAP A1 - Nadobny, Johanna A1 - Wust, Peter A1 - Seebass, Martin A1 - Deuflhard, Peter A1 - Felix, Roland ED - Simunic, D. T1 - The Use of the Volume-Surface Integral Equation Method (VSIE) for Antenna Problems T2 - Proc. COST 244 meeting on Reference Models for Bioelectromagnetic Test of Mobile Communication Systems, Roma, November 1994 Y1 - 1995 SP - 67 EP - 74 ER - TY - JOUR A1 - Nadobny, Johanna A1 - Wust, Peter A1 - Seebass, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A Volume-Surface Integral Method for Solving Maxwell’s Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids JF - IEEE Transactions on Microwave Theory and Techniques Y1 - 1996 VL - 44 IS - 4 SP - 543 EP - 554 ER -