TY - CHAP A1 - Beck, Rudolf A1 - Hege, Hans-Christian A1 - Seebass, Martin A1 - Wust, Peter A1 - Deuflhard, Peter A1 - Felix, Roland ED - Franconi, Cafiero T1 - Adaptive finite element codes for numerical calculations in hyperthermia treatment planning T2 - Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996 Y1 - 1996 VL - 2 SP - 515 EP - 517 ER - TY - JOUR A1 - Bornemann, Folkmar A. A1 - Deuflhard, Peter T1 - The cascadic multigrid method for elliptic problems JF - Numer. Math. Y1 - 1996 VL - 75 SP - 135 EP - 152 ER - TY - CHAP A1 - Bornemann, Folkmar A. A1 - Deuflhard, Peter ED - Glowinski, J. R. ED - Widlund, Olof T1 - Cascadic Multigrid Methods T2 - Domain Decomposition Methods in Sciences and Engineering Y1 - 1996 SP - 205 EP - 212 PB - John Wiley & Sons Ltd ER - TY - JOUR A1 - Böck, J. A1 - Deuflhard, Peter A1 - Hoeft, A. A1 - Korb, H. A1 - Wolpers, H. A1 - Steinmann, J. A1 - Hellige, G. T1 - Thermal recovery after passage of the pulmonary circulation assessed by deconvolution JF - J. Appl. Physiol. Y1 - 1988 VL - 64 IS - 3 SP - 1210 EP - 1216 ER - TY - JOUR A1 - Böck, J. A1 - Deuflhard, Peter A1 - Hoeft, A. A1 - Korb, H. A1 - Steinmann, J. A1 - Wolpers, H. A1 - Hellige, G. T1 - Evaluation of monoexponential extrapolation of transpulmonary thermal-dye kinetics by use of a new model-free deconvolution algorithm JF - Med Instrum Y1 - 1988 VL - 22 IS - 1 SP - 20 EP - 28 ER - TY - JOUR A1 - Boer, H. Marike T. A1 - Stötzel, Claudia A1 - Röblitz, Susanna A1 - Deuflhard, Peter A1 - Veerkamp, Roel F. A1 - Woelders, Henri T1 - A simple mathematical model of the bovine estrous cycle JF - Journal of Theoretical Biology Y1 - 2011 U6 - https://doi.org/10.1016/j.jtbi.2011.02.021 VL - 278 IS - 1 SP - 20 EP - 31 ER - TY - JOUR A1 - Asam, P. A1 - Deuflhard, Peter A1 - Kaiser, Wolfgang T1 - Intensity Limiting and Stimulated Brillouin Scattering in Germanium JF - Physics Letters Y1 - 1968 VL - 27 A SP - 78 EP - 79 ER - TY - JOUR A1 - Braess, Dietrich A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - A Subspace Cascadic Multigrid Method for Mortar Elements JF - Computing Y1 - 2002 VL - 69 SP - 205 EP - 225 ER - TY - JOUR A1 - Colli Franzone, Piero A1 - Deuflhard, Peter A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Pavarino, Luca Franco T1 - Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology JF - SIAM J. Sc. Comp. Y1 - 2006 VL - 28 SP - 942 EP - 962 ER - TY - BOOK ED - Burkard, Rainer E. ED - Deuflhard, Peter ED - Jameson, A. ED - Strang, Gilbert ED - Lions, J. ED - Capasso, Vincenzo ED - Engl, H. ED - Periaux, J. T1 - Computational Mathematics Driven by Industrial Problems T3 - Lecture Notes in Mathematics Y1 - 2000 VL - 1739 PB - Springer ER - TY - CHAP A1 - Deuflhard, Peter A1 - Schütte, Christof ED - Hill, James ED - Moore, Ross T1 - Molecular Conformation Dynamics and Computational Drug Design T2 - Applied Mathematics Entering the 21st Century Y1 - 2004 UR - ftp://ftp.zib.de/pub/zib-publications/reports/ZR-03-20.pdf IS - 116 SP - 91 EP - 119 PB - SIAM ER - TY - GEN A1 - Deuflhard, Peter A1 - Schütte, Christof A1 - Cordes, Frank A1 - Müller-Kurth, L. T1 - Konformationsdynamik. Mathematischer Entwurf hochspezifischer Biomoleküle Y1 - 1999 PB - 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 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebass, Martin ED - Lai, Choi-Hong ED - Bjørstad, Petter E. ED - Cross, Mark ED - Widlund, Olof T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia T2 - Procs. Eleventh International Conference on Domain Decomposition Methods Y1 - 1999 SP - 403 EP - 414 PB - DDM-org Press,Bergen ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Beck, Rudolf A1 - Hege, Hans-Christian ED - Sydow, Achim T1 - Hyperthermia Treatment Planning in Clinical Cancer Therapy:Modelling, Simulation, and Visualization T2 - Computational Physics, Chemistry and Biology Y1 - 1997 VL - 3 PB - Wissenschaft und Technik Verlag CY - Plenary keynote talk, 15th IMACS World Congress 1997 on Scientific Computation, Modelling and Applied Mathematics ER - TY - CHAP A1 - Deuflhard, Peter A1 - Weiser, Martin ED - et al. Bristeau, M.-O. T1 - Local inexact Newton multilevel FEM for nonlinear elliptic problems T2 - Computational science for the 21st century Y1 - 1997 SP - 129 EP - 138 PB - Chichester: John Wiley & Sons. ER - TY - CHAP A1 - Deuflhard, Peter A1 - Weiser, Martin ED - et al. Hackbusch, Wolfgang T1 - Global inexact Newton multilevel FEM for nonlinear elliptic problems T2 - Multigrid methods V. proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1–4, 1996. Y1 - 1998 VL - 3 SP - 71 EP - 89 PB - Berlin: Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Seebass, Martin T1 - A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning JF - Comput. Vis. Sci. Y1 - 2000 VL - 3 SP - 115 EP - 120 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Weiser, Martin T1 - Numerische Mathematik 3 Y1 - 2011 PB - de Gruyter, Berlin ER - TY - BOOK A1 - Deuflhard, Peter A1 - Weiser, Martin T1 - Adaptive numerical solution of PDEs Y1 - 2012 PB - de Gruyter CY - Berlin ER - TY - JOUR A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Zachow, Stefan T1 - Mathematics in Facial Surgery JF - AMS Notices Y1 - 2006 VL - 53 IS - 9 SP - 1012 EP - 1016 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Bornemann, Folkmar A. T1 - Numerische Mathematik. II Y1 - 2002 PB - de Gruyter Lehrbuch. Berlin: de Gruyter ET - 2 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Dellnitz, M. A1 - Junge, Oliver A1 - Schütte, Christof ED - Deuflhard, Peter T1 - Computation of essential molecular dynamics by subdivision techniques T2 - Computational molecular dynamics Y1 - 1998 VL - 4 SP - 98 EP - 115 PB - Berlin: Springer. ER - TY - CHAP ED - Deuflhard, Peter ED - Engquist, B. T1 - Large scale scientific computing. (proceedings of a Meeting on Large Scale Scientific Computing held at the Oberwolfach Mathematical Insitute, Oberwolfach, FRG, July 14-19, 1985) T2 - Progress in Scientific Computing Y1 - 1987 VL - 7 PB - Boston-Basel-Stuttgart: Birkhäuser ER - TY - JOUR A1 - Deuflhard, Peter A1 - Engl, H. A1 - Scherzer, O. T1 - A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions JF - Inverse Probl. Y1 - 1998 VL - 14 SP - 1081 EP - 1106 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Fiedler, P. A1 - Kunkel, P. T1 - Efficient numerical pathfollowing beyond critical points JF - SIAM J. Numer. Anal. Y1 - 1987 VL - 24 SP - 912 EP - 927 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Fiedler, B. A1 - Kunkel, P. T1 - Numerical Pathfollowing Beyond Critical Points in ODE Models T2 - Large Scale Scientific Computing Y1 - 1987 SP - 97 EP - 113 PB - Birkhäuser/Boston ER - TY - CHAP A1 - Deuflhard, Peter A1 - Friese, T. A1 - Schmidt, Frank A1 - März, Reinhard A1 - Nolting, Hans-Peter ED - et al. Hoffmann, K.-H. T1 - Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips T2 - Mathematik - Schlüsseltechnologie für die Zukunft Y1 - 1996 SP - 267 EP - 279 PB - Springer Verlag ER - TY - JOUR A1 - Deuflhard, Peter A1 - Freund, R. A1 - Walter, Artur T1 - Fast secant methods for the iterative solution of large nonsymmetric linear systems JF - IMPACT Comput. Sci. Eng. Y1 - 1990 VL - 2 SP - 244 EP - 276 ER - TY - CHAP ED - Deuflhard, Peter ED - Hairer, E. T1 - Numerical treatment of inverse problems in differential and integral equations. proceedings of an International Workshop, Heidelberg, Fed. Rep. of Germany, August 30 - September 3, 1982 T2 - Progress in Scientific Computing Y1 - 1983 VL - 2 PB - Boston-Basel-Stuttgart:Birkhäuser ER - TY - JOUR A1 - Deuflhard, Peter A1 - Hairer, E. A1 - Zugck, J. T1 - One-step and extrapolation methods for differential-algebraic systems JF - Numer. Math. Y1 - 1987 VL - 51 SP - 501 EP - 516 ER - TY - CHAP A1 - Deuflhard, Peter ED - Sydow, Achim T1 - Computational Mathematics as Key Technology T2 - Systems Analysis Modelling Simulation (SAMS),Proc. IMACS Symposium on Systems Analysis and Simulation, Berlin, 26-30 June 1995 Y1 - 1995 VL - 18-19 SP - 19 EP - 26 PB - Gordon and Breach Science Publishers SA ER - TY - GEN A1 - Deuflhard, Peter ED - et al. Begehr, H. T1 - Fast algorithms, fast computers: The Konrad-Zuse-Zentrum Berlin (ZIB) T2 - Mathematics in Berlin Y1 - 1998 SP - 183 EP - 184 PB - Basel: Birkhäuser ER - TY - CHAP A1 - Deuflhard, Peter ED - Davis, W. ED - Chu, M. ED - Dolan, P. ED - McConnell, J. ED - Noris, L. ED - Ortiz, E. ED - Plemmons, R. ED - Ridgeway, D. ED - Stewart, W. ED - York, Jr., J. ED - Doggett, W. ED - Gellai, B. ED - Gsponer, A. ED - Prioli, C. T1 - Commentary on Cornelius Lanczos’s Extended Boundary Value Problems T2 - Cornelius Lanczos Collected Published Papers with Commentaries Y1 - 1999 VL - VI SP - 3 EP - 650–3–653 PB - North Carolina State University, Raleigh ER - TY - CHAP A1 - Deuflhard, Peter ED - Davis, W. ED - Chu, M. ED - Dolan, P. ED - McConnell, J. ED - Noris, L. ED - Ortiz, E. ED - Plemmons, R. ED - Ridgeway, D. ED - Stewart, W. ED - York, Jr., J. ED - Doggett, W. ED - Gellai, B. ED - Gsponer, A. ED - Prioli, C. T1 - Commentary on Cornelius Lanczos’s Solution of Ordinary Differential Equations by Trigonometric Interpolation T2 - Cornelius Lanczos Collected Published Papers with Commentaries Y1 - 1999 VL - VI SP - 3 EP - 667–3–669 PB - North Carolina State University, Raleigh ER - TY - CHAP A1 - Deuflhard, Peter A1 - Ackermann, Jörg ED - Dikshit, H. ED - Michelli, C. T1 - Adaptive Discrete Galerkin-Methods for Macromolecular Processes T2 - Advances in Computational Mathematics Y1 - 1994 SP - 59 EP - 72 PB - World Scientific Publishing Co. Inc. ER - TY - CHAP A1 - Deuflhard, Peter A1 - Ackermann, Jörg ED - et al. Dikshit, H. T1 - Adaptive discrete Galerkin methods for macromolecular processes T2 - proceedings of the conference on advances in computational mathematics, held at New Delhi, India, January 5-9, 1993. Singapore Y1 - 1994 SP - 59 EP - 72 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Apostolescu, Victor T1 - A Study of the Gauss-Newton Method for the Solution of Nonlinear Least Squares Problems T2 - Special Topics of Applied Mathematics Y1 - 1980 SP - 129 EP - 150 PB - Amsterdam: North-Holland Publ. ER - TY - CHAP A1 - Deuflhard, Peter A1 - Bader, G. T1 - Multiple Shooting Techniques Revisited T2 - Numerical Treatment of Inverse Problems in Differential and Integral Equations Y1 - 1983 VL - 2 SP - 74 EP - 94 PB - Boston: Birkhäuser ER - TY - CHAP A1 - Deuflhard, Peter A1 - Bader, G. A1 - Nowak, Ulrich T1 - LARKIN - a Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics T2 - Modelling of Chemical Reaction Systems Y1 - 1981 VL - 18 SP - 38 EP - 55 PB - Springer Verlag ER - TY - BOOK A1 - Deuflhard, Peter A1 - Bornemann, Folkmar A. T1 - Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt T3 - Texts in Applied Mathematics Y1 - 2002 VL - 42 PB - New York, NY: Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Krause, Rolf A1 - Ertel, Susanne T1 - A Contact-Stabilized Newmark Method for Dynamical Contact Problems JF - International Journal for Numerical Methods in Engineering Y1 - 2007 VL - 73 IS - 9 SP - 1274 EP - 1290 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Lang, Jens A1 - Nowak, Ulrich ED - Neunzert, H. T1 - Recent Progress in Dynamical Process Simulation T2 - Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94) Y1 - 1996 SP - 122 EP - 137 PB - Wiley & Teubner ER - TY - JOUR A1 - Deuflhard, Peter A1 - Leinen, P. A1 - Yserentant, H. T1 - Concepts of an adaptive hierarchical finite element code JF - IMPACT Comput. Sci. Eng. Y1 - 1989 VL - 1 IS - 1 SP - 3 EP - 35 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - Domain decomposition with subdomain CCG for material jump elliptic problems JF - East-West J. Numer. Math. Y1 - 1998 VL - 6 IS - 2 SP - 81 EP - 100 ER - TY - GEN A1 - Deuflhard, Peter A1 - Mehrmann, Volker T1 - Numerical analysis and scientific computing in key technologies Y1 - 2002 SP - 9 EP - 19 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Nowak, Ulrich ED - Deuflhard, Peter ED - Engquist, B. T1 - Extrapolation integrators for quasilinear implicit ODEs. T2 - Large scale scientific computing, Proc. Meet., Oberwolfach/FRG 1985, Y1 - 1987 VL - 7 SP - 37 EP - 50 PB - Boston-Basel-Stuttgart: Birkhäuser ER - TY - JOUR A1 - Deuflhard, Peter A1 - Nowak, Ulrich A1 - Wulkow, Michael T1 - Recent Developments in Chemical Computing JF - Computers in Chemical Engineering Y1 - 1990 VL - 14 SP - 1249 EP - 1258 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Pesch, H.-J. A1 - Rentrop, P. T1 - A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques JF - Numer. Math. Y1 - 1976 VL - 26 SP - 327 EP - 343 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Potra, Florian T1 - Asymptotic Mesh Independence for Newton-Galerkin Methods via a Refined Mysovskii Theorem JF - SIAM J. Numer. Anal. Y1 - 1992 VL - 29 IS - 5 SP - 1395 EP - 1412 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Sautter, W. T1 - On Rank-Deficient Pseudoinverses JF - Lin. Alg. Appl. Y1 - 1980 VL - 29 SP - 91 EP - 111 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Heindl, G. T1 - Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods JF - SIAM J. Numer. Anal. Y1 - 1979 VL - 16 SP - 1 EP - 10 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Heroth, Jörg ED - et al. Keil, Frerich T1 - Dynamic dimension reduction in ODE models T2 - Scientific computing in chemical engineering Y1 - 1996 SP - 29 EP - 43 PB - Berlin: Springer-Verlag ER - TY - CHAP A1 - Deuflhard, Peter A1 - Heroth, Jörg A1 - Maas, Ulrich T1 - Towards Dynamic Dimension Reduction in Reactive Flow Problems T2 - Proc. 3rd Workshop on Modelling of Chemical Reaction Systems Y1 - 1996 CY - Heidelberg ER - TY - CHAP A1 - Deuflhard, Peter A1 - Hege, Hans-Christian A1 - Seebass, Martin ED - Grönemeyer, W. T1 - Progress Towards a Combined MRI Hyperthermia System T2 - Proc. Second Int. Congress HIGH CARE 2000, Bochum Y1 - 2000 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Hohmann, Andreas T1 - Numerische Mathematik. I Y1 - 2002 PB - de Gruyter Lehrbuch. Berlin: de Gruyter ET - 3 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Hohmann, Andreas T1 - Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. T3 - Texts in Applied Mathematics Y1 - 2003 VL - 43 PB - New York, NY: Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Hochmuth, Reinhard T1 - Multiscale analysis of thermoregulation in the human microvascular system JF - Math. Methods Appl. Sci. Y1 - 2004 VL - 27 IS - 8 SP - 971 EP - 989 PB - Wiley Verlag ER - TY - BOOK A1 - Deuflhard, Peter A1 - Hohmann, Andreas T1 - Numerische Mathematik I. Eine algorithmisch orientierte Einführung Y1 - 1991 PB - de Gruyter Lehrbuch,Berlin ER - TY - BOOK A1 - Deuflhard, Peter A1 - Hohmann, Andreas T1 - Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz Y1 - 1995 PB - de Gruyter Textbook. Berlin: De Gruyter ER - TY - JOUR A1 - Deuflhard, Peter A1 - Huisinga, Wilhelm A1 - Fischer, Alexander A1 - Schütte, Christof T1 - Identification of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains JF - Lin. Alg. Appl. Y1 - 2000 VL - 315 SP - 39 EP - 59 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Weber, Marcus T1 - Robust Perron Cluster Analysis in Conformation Dynamics T2 - Lin. Alg. Appl. – Special Issue on Matrices and Mathematical Biology Y1 - 2005 VL - 398 SP - 161 EP - 184 PB - Elsevier Journals CY - Germany ER - TY - THES A1 - Deuflhard, Peter T1 - Stimulierte Brillouinstreuung in Germanium bei 10.6 μ Y1 - 1968 CY - Physics Dept. ER - TY - THES A1 - Deuflhard, Peter T1 - Ein Newton-Verfahren bei fastsingulärer Funktionalmatrix zur Lösung von nichtlinearen Randwertaufgaben mit der Mehrzielmethode Y1 - 1972 CY - Math. Institute University of Cologne ER - TY - THES A1 - Deuflhard, Peter T1 - A Stepsize Control for Continuation Methods with Special Application to Multiple Shooting Techniques Y1 - 1976 CY - Math. Institute, Munich University of Technology ER - TY - GEN A1 - Deuflhard, Peter T1 - Therapieplanung an virtuellen Krebspatienten Y1 - 2000 PB - M. Aigner, E. Behrends (eds.): Alles Mathematik. Von Pythagoras zum CD-Player. Vieweg Verlag, pp. 22-30 ER - TY - GEN A1 - Deuflhard, Peter T1 - Maler, Mörder, Mathematiker Y1 - 2003 PB - Gegenworte: Der Mythos und die Wissenschaft. Berlin-Brandenburgische Akademie der Wissenschaften (BBAW), 12. Heft, pp. 25-30 ER - TY - GEN A1 - Deuflhard, Peter T1 - Maler, Mörder, Mathematiker Y1 - 2003 PB - Mitteilungen der Deutschen MathematikerVereinigung (DMV), pp. 16-21, Heft 4 ER - TY - GEN A1 - Deuflhard, Peter T1 - Pittori, assassini, matematici Y1 - 2005 UR - http://www.zib.de/deuflhard/pub/mmm-english.pdf PB - M. Manaresi (ed.), Matematica e Cultura in Europa. Springer-Verlag Italia, pp. 145-155 ER - TY - GEN A1 - Deuflhard, Peter T1 - Linear and nonlinear least squares computing in view of control applications Y1 - 1980 SP - 85 EP - 92 PB - Sonderforschungsbereich 123, Stochastische Mathematische Modelle. Universität Heidelberg ER - TY - GEN A1 - Deuflhard, Peter ED - et al. Begehr, H. T1 - Mathematics in Berlin Y1 - 1998 SP - 183 EP - 184 PB - Basel: Birkhäuser ER - TY - GEN A1 - Deuflhard, Peter A1 - Felix, Roland A1 - Wust, Peter T1 - Wärme für das Leben. Mathematische Hyperthermieplanung am virtuellen Krebspatienten Y1 - 1999 PB - 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 ER - TY - CHAP A1 - Deuflhard, Peter T1 - Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs T2 - Computational Mathematics Driven by Industrial Applications Y1 - 2000 VL - 1739 SP - 69 EP - 125 PB - Springer-Verlag ER - TY - CHAP A1 - Deuflhard, Peter T1 - A Comparison of Related Concepts in Computational Chemistry and Mathematics T2 - Chemisty and Mathematics Y1 - 2003 VL - 88 IS - 330 SP - 51 EP - 66 ER - TY - CHAP A1 - Deuflhard, Peter ED - et al. Kirkilionis, Markus T1 - From Molecular Dynamics to Conformational Dynamics in Drug Design T2 - Trends in Nonlinear Analysis Y1 - 2003 SP - 269 EP - 288 PB - Springer Verlag Berlin ER - TY - JOUR A1 - Deuflhard, Peter T1 - bookreview JF - Annual Report DMV Y1 - 2004 VL - 106 SP - 43 ER - TY - BOOK A1 - Deuflhard, Peter T1 - Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms T3 - Springer Series in Computational Mathematics Y1 - 2004 PB - Springer ER - TY - BOOK A1 - Deuflhard, Peter T1 - Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms T3 - Springer Series in Computational Mathematics Y1 - 2006 PB - Springer ER - TY - JOUR A1 - Deuflhard, Peter T1 - A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting JF - Numer. Math. Y1 - 1974 VL - 22 SP - 289 EP - 315 ER - TY - CHAP A1 - Deuflhard, Peter T1 - A Relaxation Strategy for the Modified Newton Method T2 - Optimization and Optimal Control Y1 - 1975 VL - 477 SP - 59 EP - 73 PB - Springer ER - TY - JOUR A1 - Deuflhard, Peter T1 - On Algorithms for the Summation of Certain Special Functions JF - Computing Y1 - 1976 VL - 17 SP - 37 EP - 48 ER - TY - JOUR A1 - Deuflhard, Peter T1 - A Summation Technique for Minimal Solutions of Linear Homogeneous Difference Equations JF - Computing Y1 - 1977 VL - 18 SP - 1 EP - 13 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Apostolescu, Victor ED - Stoer, J. T1 - An Underrelaxed Gauss-Newton Method for Equality Constrained Nonlinear Least Squares Problems T2 - Optimization Techniques, Proc. 8th IFIP Conf., Würzburg 1977, part 2 Y1 - 1978 VL - 7 SP - 22 EP - 32 PB - Springer ER - TY - CHAP A1 - Deuflhard, Peter ED - Childs, B. T1 - Nonlinear Equation Solvers in Boundary Value Problem Codes T2 - Proc. Working Conf. on Codes for BVPs in ODEs, Houston/Texas 1978 Y1 - 1979 VL - 74 SP - 40 EP - 66 PB - Springer ER - TY - JOUR A1 - Deuflhard, Peter T1 - A study of extrapolation methods based on multistep schemes without parasitic solutions JF - J.App.Math.Phys.(ZAMP) Y1 - 1979 VL - 30 SP - 177 EP - 189 ER - TY - JOUR A1 - Deuflhard, Peter T1 - A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques JF - Numer. Math. Y1 - 1979 VL - 33 SP - 115 EP - 146 ER - TY - CHAP A1 - Deuflhard, Peter T1 - Recent Advances in Multiple Shooting Techniques T2 - Computational Techniques for Ordinary Differential Equations Y1 - 1980 SP - 217 EP - 272 PB - London: Academic Press ER - TY - GEN A1 - Deuflhard, Peter A1 - Zachow, Stefan T1 - Mathematische Therapie- und Operationsplanung Y1 - 2012 SP - 89 EP - 90 PB - Berliner Wirtschaftsgespräche e.V. CY - Berlin ER - TY - CHAP A1 - Deuflhard, Peter A1 - Dössel, Olaf A1 - Louis, Alfred A1 - Zachow, Stefan T1 - More Mathematics into Medicine! T2 - Production Factor Mathematics Y1 - 2010 UR - http://www.springer.com/mathematics/book/978-3-642-11247-8 SP - 357 EP - 378 PB - Springer ER - TY - JOUR A1 - Weiser, Martin A1 - Zachow, Stefan A1 - Deuflhard, Peter T1 - Craniofacial Surgery Planning Based on Virtual Patient Models JF - it - Information Technology Y1 - 2010 U6 - https://doi.org/10.1524/itit.2010.0600 VL - 52 IS - 5 SP - 258 EP - 263 PB - Oldenbourg Verlagsgruppe ER - TY - CHAP A1 - Deuflhard, Peter A1 - Dössel, Olaf A1 - Louis, Alfred A1 - Zachow, Stefan T1 - Mehr Mathematik wagen in der Medizin T2 - acatech diskutiert, Produktionsfaktor Mathematik - Wie Mathematik Technik und Wirtschaft bewegt Y1 - 2008 U6 - https://doi.org/10.1007/978-3-540-89435-3 SP - 435 EP - 459 PB - Springer ER - TY - JOUR A1 - Zachow, Stefan A1 - Deuflhard, Peter T1 - Computergestützte Planung in der kraniofazialen Chirurgie JF - Face 01/08, Int. Mag. of Orofacial Esthetics Y1 - 2008 SP - 43 EP - 49 PB - Oemus Journale Leipzig ER - TY - CHAP A1 - Zachow, Stefan A1 - Hege, Hans-Christian A1 - Deuflhard, Peter T1 - Computergestützte Operationsplanung in der Gesichtschirurgie T2 - Proc. VDE Kongress 2004 - Innovationen für Menschen, Band 2, Fachtagungsberichte DGBMT - GMM - GMA Y1 - 2004 SP - 53 EP - 58 ER - TY - JOUR A1 - Haberl, Hannes A1 - Hell, Bertold A1 - Zöckler, Maja A1 - Zachow, Stefan A1 - Lamecker, Hans A1 - Sarrafzadeh, Asita A1 - Riecke, B. A1 - Langsch, Wolfgang A1 - Deuflhard, Peter A1 - Bier, Jürgen A1 - Brock, Mario T1 - Technical aspects and results of surgery for craniosynostosis JF - Zentralblatt für Neurochirurgie Y1 - 2004 VL - 65 IS - 2 SP - 65 EP - 74 ER - TY - JOUR A1 - Zachow, Stefan A1 - Hege, Hans-Christian A1 - Deuflhard, Peter T1 - Maxillofacial surgery planning with 3D soft tissue prediction - modeling, planning, simulation JF - 2. Int. Conf. on Advanced Digital Technology in Head and Neck Reconstruction, Abstract 33 Y1 - 2005 SP - 64 CY - Banff, Alberta, CA ER - TY - BOOK A1 - Deuflhard, Peter A1 - Röblitz, Susanna T1 - A guide to numerical modelling in systems biology Y1 - 2015 SN - 978-3-319-20058-3 U6 - https://doi.org/10.1007/978-3-319-20059-0 VL - 12 PB - Springer ER - TY - JOUR A1 - Moualeu-Ngangue, Dany Pascal A1 - Röblitz, Susanna A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Parameter Identification in a Tuberculosis Model for Cameroon JF - PLOS ONE N2 - A deterministic model of tuberculosis in Cameroon is designed and analyzed with respect to its transmission dynamics. The model includes lack of access to treatment and weak diagnosis capacity as well as 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 the most sensitive ones are identified by means of a state-of-the-art Gauss-Newton method. In particular, parameters representing the proportion of individuals having access to medical facilities are seen to have a large impact on the dynamics of the disease. The model predicts that a gradual increase of these parameters could significantly reduce the disease burden on the population within the next 15 years. Y1 - 2015 U6 - https://doi.org/10.1371/journal.pone.0120607 ER - TY - GEN A1 - Stein, Christoph A1 - Weber, Marcus A1 - Scharkoi, Olga A1 - Deuflhard, Peter T1 - Method and system for identifying compounds that bind and preferably activate a target opioid receptor in a pH-dependent manner T2 - European Patent Application, Bulletin 2013/28 Y1 - 2013 ER - TY - GEN A1 - Deuflhard, Peter A1 - Weber, Marcus 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 - Skutella, Martin ED - Sprekels, Jürgen T1 - Mathematics without pain T2 - MATHEON-Mathematics for Key Technologies Y1 - 2014 U6 - https://doi.org/10.4171/137 VL - 1 SP - 26 EP - 28 PB - European Mathematical Society ER - TY - GEN A1 - Deuflhard, Peter A1 - Kornhuber, Ralf A1 - Sander, Oliver A1 - Schiela, Anton A1 - Weiser, Martin 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 - Mathematics cures virtual patients T2 - MATHEON-Mathematics for Key Technologies Y1 - 2014 VL - 1 SP - 7 EP - 25 PB - European Mathematical Society ER - TY - JOUR 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 JF - Communications in Nonlinear Science and Numerical Simulation 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. Y1 - 2015 U6 - https://doi.org/10.1016/j.cnsns.2014.06.037 VL - 20 IS - 3 SP - 986 EP - 1003 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 -