@inproceedings{BeckHegeSeebassetal.1996, author = {Beck, Rudolf and Hege, Hans-Christian and Seebass, Martin and Wust, Peter and Deuflhard, Peter and Felix, Roland}, title = {Adaptive finite element codes for numerical calculations in hyperthermia treatment planning}, volume = {2}, booktitle = {Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996}, editor = {Franconi, Cafiero}, pages = {515 -- 517}, year = {1996}, language = {en} } @article{BornemannDeuflhard1996, author = {Bornemann, Folkmar A. and Deuflhard, Peter}, title = {The cascadic multigrid method for elliptic problems}, volume = {75}, journal = {Numer. Math.}, pages = {135 -- 152}, year = {1996}, language = {en} } @inproceedings{BornemannDeuflhard1996, author = {Bornemann, Folkmar A. and Deuflhard, Peter}, title = {Cascadic Multigrid Methods}, booktitle = {Domain Decomposition Methods in Sciences and Engineering}, editor = {Glowinski, J. R. and Widlund, Olof}, publisher = {John Wiley \& Sons Ltd}, pages = {205 -- 212}, year = {1996}, language = {en} } @article{BoeckDeuflhardHoeftetal.1988, author = {B{\"o}ck, J. and Deuflhard, Peter and Hoeft, A. and Korb, H. and Wolpers, H. and Steinmann, J. and Hellige, G.}, title = {Thermal recovery after passage of the pulmonary circulation assessed by deconvolution}, volume = {64}, journal = {J. Appl. Physiol.}, number = {3}, pages = {1210 -- 1216}, year = {1988}, language = {en} } @article{BoeckDeuflhardHoeftetal.1988, author = {B{\"o}ck, J. and Deuflhard, Peter and Hoeft, A. and Korb, H. and Steinmann, J. and Wolpers, H. and Hellige, G.}, title = {Evaluation of monoexponential extrapolation of transpulmonary thermal-dye kinetics by use of a new model-free deconvolution algorithm}, volume = {22}, journal = {Med Instrum}, number = {1}, pages = {20 -- 28}, year = {1988}, language = {en} } @article{BoerStoetzelRoeblitzetal.2011, author = {Boer, H. Marike T. and St{\"o}tzel, Claudia and R{\"o}blitz, Susanna and Deuflhard, Peter and Veerkamp, Roel F. and Woelders, Henri}, title = {A simple mathematical model of the bovine estrous cycle}, volume = {278}, journal = {Journal of Theoretical Biology}, number = {1}, doi = {10.1016/j.jtbi.2011.02.021}, pages = {20 -- 31}, year = {2011}, language = {en} } @article{AsamDeuflhardKaiser1968, author = {Asam, P. and Deuflhard, Peter and Kaiser, Wolfgang}, title = {Intensity Limiting and Stimulated Brillouin Scattering in Germanium}, volume = {27 A}, journal = {Physics Letters}, pages = {78 -- 79}, year = {1968}, language = {en} } @article{BraessDeuflhardLipnikov2002, author = {Braess, Dietrich and Deuflhard, Peter and Lipnikov, Konstantin}, title = {A Subspace Cascadic Multigrid Method for Mortar Elements}, volume = {69}, journal = {Computing}, pages = {205 -- 225}, year = {2002}, language = {en} } @article{ColliFranzoneDeuflhardErdmannetal.2006, author = {Colli Franzone, Piero and Deuflhard, Peter and Erdmann, Bodo and Lang, Jens and Pavarino, Luca Franco}, title = {Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology}, volume = {28}, journal = {SIAM J. Sc. Comp.}, pages = {942 -- 962}, year = {2006}, language = {en} } @book{OPUS4-1961, title = {Computational Mathematics Driven by Industrial Problems}, volume = {1739}, journal = {Lecture Notes in Mathematics}, editor = {Burkard, Rainer E. and Deuflhard, Peter and Jameson, A. and Strang, Gilbert and Lions, J. and Capasso, Vincenzo and Engl, H. and Periaux, J.}, publisher = {Springer}, year = {2000}, language = {en} } @inproceedings{DeuflhardSchuette2004, author = {Deuflhard, Peter and Sch{\"u}tte, Christof}, title = {Molecular Conformation Dynamics and Computational Drug Design}, booktitle = {Applied Mathematics Entering the 21st Century}, number = {116}, editor = {Hill, James and Moore, Ross}, publisher = {SIAM}, pages = {91 -- 119}, year = {2004}, language = {en} } @misc{DeuflhardSchuetteCordesetal.1999, author = {Deuflhard, Peter and Sch{\"u}tte, Christof and Cordes, Frank and M{\"u}ller-Kurth, L.}, title = {Konformationsdynamik. Mathematischer Entwurf hochspezifischer Biomolek{\"u}le}, publisher = {In: D. H{\"o}mberg (ed.), 8. Veranstaltungsreihe Forschungspolitische Dialoge in Berlin: Angewandte Mathematik - die verborgene Schl{\"u}sseltechnologie, 30. April 1999, Konrad-Zuse-Zentrum Berlin, pp. 30-34}, year = {1999}, language = {en} } @inproceedings{DeuflhardSeebass1999, author = {Deuflhard, Peter and Seebass, Martin}, title = {Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia}, booktitle = {Procs. Eleventh International Conference on Domain Decomposition Methods}, editor = {Lai, Choi-Hong and Bj{\o}rstad, Petter E. and Cross, Mark and Widlund, Olof}, publisher = {DDM-org Press,Bergen}, pages = {403 -- 414}, year = {1999}, language = {en} } @inproceedings{DeuflhardSeebassStallingetal.1997, author = {Deuflhard, Peter and Seebass, Martin and Stalling, Detlev and Beck, Rudolf and Hege, Hans-Christian}, title = {Hyperthermia Treatment Planning in Clinical Cancer Therapy:Modelling, Simulation, and Visualization}, volume = {3}, booktitle = {Computational Physics, Chemistry and Biology}, editor = {Sydow, Achim}, publisher = {Wissenschaft und Technik Verlag}, address = {Plenary keynote talk, 15th IMACS World Congress 1997 on Scientific Computation, Modelling and Applied Mathematics}, year = {1997}, language = {en} } @incollection{DeuflhardWeiser1997, author = {Deuflhard, Peter and Weiser, Martin}, title = {Local inexact Newton multilevel FEM for nonlinear elliptic problems}, booktitle = {Computational science for the 21st century}, editor = {et al. Bristeau, M.-O.}, publisher = {Chichester: John Wiley \& Sons.}, pages = {129 -- 138}, year = {1997}, language = {en} } @inproceedings{DeuflhardWeiser1998, author = {Deuflhard, Peter and Weiser, Martin}, title = {Global inexact Newton multilevel FEM for nonlinear elliptic problems}, volume = {3}, booktitle = {Multigrid methods V. proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1-4, 1996.}, editor = {et al. Hackbusch, Wolfgang}, publisher = {Berlin: Springer}, pages = {71 -- 89}, year = {1998}, language = {en} } @article{DeuflhardWeiserSeebass2000, author = {Deuflhard, Peter and Weiser, Martin and Seebass, Martin}, title = {A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning}, volume = {3}, journal = {Comput. Vis. Sci.}, pages = {115 -- 120}, year = {2000}, language = {en} } @book{DeuflhardWeiser2011, author = {Deuflhard, Peter and Weiser, Martin}, title = {Numerische Mathematik 3}, publisher = {de Gruyter, Berlin}, year = {2011}, language = {de} } @book{DeuflhardWeiser2012, author = {Deuflhard, Peter and Weiser, Martin}, title = {Adaptive numerical solution of PDEs}, publisher = {de Gruyter}, address = {Berlin}, year = {2012}, language = {en} } @article{DeuflhardWeiserZachow2006, author = {Deuflhard, Peter and Weiser, Martin and Zachow, Stefan}, title = {Mathematics in Facial Surgery}, volume = {53}, journal = {AMS Notices}, number = {9}, pages = {1012 -- 1016}, year = {2006}, language = {en} } @book{DeuflhardBornemann2002, author = {Deuflhard, Peter and Bornemann, Folkmar A.}, title = {Numerische Mathematik. II}, edition = {2}, publisher = {de Gruyter Lehrbuch. Berlin: de Gruyter}, year = {2002}, language = {en} } @incollection{DeuflhardDellnitzJungeetal.1998, author = {Deuflhard, Peter and Dellnitz, M. and Junge, Oliver and Sch{\"u}tte, Christof}, title = {Computation of essential molecular dynamics by subdivision techniques}, volume = {4}, booktitle = {Computational molecular dynamics}, editor = {Deuflhard, Peter}, publisher = {Berlin: Springer.}, pages = {98 -- 115}, year = {1998}, language = {en} } @inproceedings{OPUS4-2068, title = {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)}, volume = {7}, booktitle = {Progress in Scientific Computing}, editor = {Deuflhard, Peter and Engquist, B.}, publisher = {Boston-Basel-Stuttgart: Birkh{\"a}user}, year = {1987}, language = {en} } @article{DeuflhardEnglScherzer1998, author = {Deuflhard, Peter and Engl, H. and Scherzer, O.}, title = {A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions}, volume = {14}, journal = {Inverse Probl.}, pages = {1081 -- 1106}, year = {1998}, language = {en} } @article{DeuflhardFiedlerKunkel1987, author = {Deuflhard, Peter and Fiedler, P. and Kunkel, P.}, title = {Efficient numerical pathfollowing beyond critical points}, volume = {24}, journal = {SIAM J. Numer. Anal.}, pages = {912 -- 927}, year = {1987}, language = {en} } @inproceedings{DeuflhardFiedlerKunkel1987, author = {Deuflhard, Peter and Fiedler, B. and Kunkel, P.}, title = {Numerical Pathfollowing Beyond Critical Points in ODE Models}, booktitle = {Large Scale Scientific Computing}, publisher = {Birkh{\"a}user/Boston}, pages = {97 -- 113}, year = {1987}, language = {en} } @inproceedings{DeuflhardFrieseSchmidtetal.1996, author = {Deuflhard, Peter and Friese, T. and Schmidt, Frank and M{\"a}rz, Reinhard and Nolting, Hans-Peter}, title = {Effiziente Eigenmodenberechnung f{\"u}r den Entwurf integriert-optischer Chips}, booktitle = {Mathematik - Schl{\"u}sseltechnologie f{\"u}r die Zukunft}, editor = {et al. Hoffmann, K.-H.}, publisher = {Springer Verlag}, pages = {267 -- 279}, year = {1996}, language = {en} } @article{DeuflhardFreundWalter1990, author = {Deuflhard, Peter and Freund, R. and Walter, Artur}, title = {Fast secant methods for the iterative solution of large nonsymmetric linear systems}, volume = {2}, journal = {IMPACT Comput. Sci. Eng.}, pages = {244 -- 276}, year = {1990}, language = {en} } @inproceedings{OPUS4-2074, title = {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}, volume = {2}, booktitle = {Progress in Scientific Computing}, editor = {Deuflhard, Peter and Hairer, E.}, publisher = {Boston-Basel-Stuttgart:Birkh{\"a}user}, year = {1983}, language = {en} } @article{DeuflhardHairerZugck1987, author = {Deuflhard, Peter and Hairer, E. and Zugck, J.}, title = {One-step and extrapolation methods for differential-algebraic systems}, volume = {51}, journal = {Numer. Math.}, pages = {501 -- 516}, year = {1987}, language = {en} } @inproceedings{Deuflhard1995, author = {Deuflhard, Peter}, title = {Computational Mathematics as Key Technology}, volume = {18-19}, booktitle = {Systems Analysis Modelling Simulation (SAMS),Proc. IMACS Symposium on Systems Analysis and Simulation, Berlin, 26-30 June 1995}, editor = {Sydow, Achim}, publisher = {Gordon and Breach Science Publishers SA}, pages = {19 -- 26}, year = {1995}, language = {en} } @misc{Deuflhard1998, author = {Deuflhard, Peter}, title = {Fast algorithms, fast computers: The Konrad-Zuse-Zentrum Berlin (ZIB)}, journal = {Mathematics in Berlin}, editor = {et al. Begehr, H.}, publisher = {Basel: Birkh{\"a}user}, pages = {183 -- 184}, year = {1998}, language = {en} } @incollection{Deuflhard1999, author = {Deuflhard, Peter}, title = {Commentary on Cornelius Lanczos's Extended Boundary Value Problems}, volume = {VI}, booktitle = {Cornelius Lanczos Collected Published Papers with Commentaries}, editor = {Davis, W. and Chu, M. and Dolan, P. and McConnell, J. and Noris, L. and Ortiz, E. and Plemmons, R. and Ridgeway, D. and Stewart, W. and York, Jr., J. and Doggett, W. and Gellai, B. and Gsponer, A. and Prioli, C.}, publisher = {North Carolina State University, Raleigh}, pages = {3 -- 650-3-653}, year = {1999}, language = {en} } @incollection{Deuflhard1999, author = {Deuflhard, Peter}, title = {Commentary on Cornelius Lanczos's Solution of Ordinary Differential Equations by Trigonometric Interpolation}, volume = {VI}, booktitle = {Cornelius Lanczos Collected Published Papers with Commentaries}, editor = {Davis, W. and Chu, M. and Dolan, P. and McConnell, J. and Noris, L. and Ortiz, E. and Plemmons, R. and Ridgeway, D. and Stewart, W. and York, Jr., J. and Doggett, W. and Gellai, B. and Gsponer, A. and Prioli, C.}, publisher = {North Carolina State University, Raleigh}, pages = {3 -- 667-3-669}, year = {1999}, language = {en} } @inproceedings{DeuflhardAckermann1994, author = {Deuflhard, Peter and Ackermann, J{\"o}rg}, title = {Adaptive Discrete Galerkin-Methods for Macromolecular Processes}, booktitle = {Advances in Computational Mathematics}, editor = {Dikshit, H. and Michelli, C.}, publisher = {World Scientific Publishing Co. Inc.}, pages = {59 -- 72}, year = {1994}, language = {en} } @inproceedings{DeuflhardAckermann1994, author = {Deuflhard, Peter and Ackermann, J{\"o}rg}, title = {Adaptive discrete Galerkin methods for macromolecular processes}, booktitle = {proceedings of the conference on advances in computational mathematics, held at New Delhi, India, January 5-9, 1993. Singapore}, editor = {et al. Dikshit, H.}, pages = {59 -- 72}, year = {1994}, language = {en} } @incollection{DeuflhardApostolescu1980, author = {Deuflhard, Peter and Apostolescu, Victor}, title = {A Study of the Gauss-Newton Method for the Solution of Nonlinear Least Squares Problems}, booktitle = {Special Topics of Applied Mathematics}, publisher = {Amsterdam: North-Holland Publ.}, pages = {129 -- 150}, year = {1980}, language = {en} } @inproceedings{DeuflhardBader1983, author = {Deuflhard, Peter and Bader, G.}, title = {Multiple Shooting Techniques Revisited}, volume = {2}, booktitle = {Numerical Treatment of Inverse Problems in Differential and Integral Equations}, publisher = {Boston: Birkh{\"a}user}, pages = {74 -- 94}, year = {1983}, language = {en} } @incollection{DeuflhardBaderNowak1981, author = {Deuflhard, Peter and Bader, G. and Nowak, Ulrich}, title = {LARKIN - a Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics}, volume = {18}, booktitle = {Modelling of Chemical Reaction Systems}, publisher = {Springer Verlag}, pages = {38 -- 55}, year = {1981}, language = {en} } @book{DeuflhardBornemann2002, author = {Deuflhard, Peter and Bornemann, Folkmar A.}, title = {Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt}, volume = {42}, journal = {Texts in Applied Mathematics}, publisher = {New York, NY: Springer}, year = {2002}, language = {en} } @article{DeuflhardKrauseErtel2007, author = {Deuflhard, Peter and Krause, Rolf and Ertel, Susanne}, title = {A Contact-Stabilized Newmark Method for Dynamical Contact Problems}, volume = {73}, journal = {International Journal for Numerical Methods in Engineering}, number = {9}, pages = {1274 -- 1290}, year = {2007}, language = {en} } @inproceedings{DeuflhardLangNowak1996, author = {Deuflhard, Peter and Lang, Jens and Nowak, Ulrich}, title = {Recent Progress in Dynamical Process Simulation}, booktitle = {Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94)}, editor = {Neunzert, H.}, publisher = {Wiley \& Teubner}, pages = {122 -- 137}, year = {1996}, language = {en} } @article{DeuflhardLeinenYserentant1989, author = {Deuflhard, Peter and Leinen, P. and Yserentant, H.}, title = {Concepts of an adaptive hierarchical finite element code}, volume = {1}, journal = {IMPACT Comput. Sci. Eng.}, number = {1}, pages = {3 -- 35}, year = {1989}, language = {en} } @article{DeuflhardLipnikov1998, author = {Deuflhard, Peter and Lipnikov, Konstantin}, title = {Domain decomposition with subdomain CCG for material jump elliptic problems}, volume = {6}, journal = {East-West J. Numer. Math.}, number = {2}, pages = {81 -- 100}, year = {1998}, language = {en} } @misc{DeuflhardMehrmann2002, author = {Deuflhard, Peter and Mehrmann, Volker}, title = {Numerical analysis and scientific computing in key technologies}, pages = {9 -- 19}, year = {2002}, language = {en} } @inproceedings{DeuflhardNowak1987, author = {Deuflhard, Peter and Nowak, Ulrich}, title = {Extrapolation integrators for quasilinear implicit ODEs.}, volume = {7}, booktitle = {Large scale scientific computing, Proc. Meet., Oberwolfach/FRG 1985,}, editor = {Deuflhard, Peter and Engquist, B.}, publisher = {Boston-Basel-Stuttgart: Birkh{\"a}user}, pages = {37 -- 50}, year = {1987}, language = {en} } @article{DeuflhardNowakWulkow1990, author = {Deuflhard, Peter and Nowak, Ulrich and Wulkow, Michael}, title = {Recent Developments in Chemical Computing}, volume = {14}, journal = {Computers in Chemical Engineering}, pages = {1249 -- 1258}, year = {1990}, language = {en} } @article{DeuflhardPeschRentrop1976, author = {Deuflhard, Peter and Pesch, H.-J. and Rentrop, P.}, title = {A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques}, volume = {26}, journal = {Numer. Math.}, pages = {327 -- 343}, year = {1976}, language = {en} } @article{DeuflhardPotra1992, author = {Deuflhard, Peter and Potra, Florian}, title = {Asymptotic Mesh Independence for Newton-Galerkin Methods via a Refined Mysovskii Theorem}, volume = {29}, journal = {SIAM J. Numer. Anal.}, number = {5}, pages = {1395 -- 1412}, year = {1992}, language = {en} } @article{DeuflhardSautter1980, author = {Deuflhard, Peter and Sautter, W.}, title = {On Rank-Deficient Pseudoinverses}, volume = {29}, journal = {Lin. Alg. Appl.}, pages = {91 -- 111}, year = {1980}, language = {en} } @article{DeuflhardHeindl1979, author = {Deuflhard, Peter and Heindl, G.}, title = {Affine Invariant Convergence Theorems for Newton's Method and Extensions to Related Methods}, volume = {16}, journal = {SIAM J. Numer. Anal.}, pages = {1 -- 10}, year = {1979}, language = {en} } @incollection{DeuflhardHeroth1996, author = {Deuflhard, Peter and Heroth, J{\"o}rg}, title = {Dynamic dimension reduction in ODE models}, booktitle = {Scientific computing in chemical engineering}, editor = {et al. Keil, Frerich}, publisher = {Berlin: Springer-Verlag}, pages = {29 -- 43}, year = {1996}, language = {en} } @inproceedings{DeuflhardHerothMaas1996, author = {Deuflhard, Peter and Heroth, J{\"o}rg and Maas, Ulrich}, title = {Towards Dynamic Dimension Reduction in Reactive Flow Problems}, booktitle = {Proc. 3rd Workshop on Modelling of Chemical Reaction Systems}, address = {Heidelberg}, year = {1996}, language = {en} } @inproceedings{DeuflhardHegeSeebass2000, author = {Deuflhard, Peter and Hege, Hans-Christian and Seebass, Martin}, title = {Progress Towards a Combined MRI Hyperthermia System}, booktitle = {Proc. Second Int. Congress HIGH CARE 2000, Bochum}, editor = {Gr{\"o}nemeyer, W.}, year = {2000}, language = {en} } @book{DeuflhardHohmann2002, author = {Deuflhard, Peter and Hohmann, Andreas}, title = {Numerische Mathematik. I}, edition = {3}, publisher = {de Gruyter Lehrbuch. Berlin: de Gruyter}, year = {2002}, language = {en} } @book{DeuflhardHohmann2003, author = {Deuflhard, Peter and Hohmann, Andreas}, title = {Numerical analysis in modern scientific computing. An introduction. 2nd revised ed.}, volume = {43}, journal = {Texts in Applied Mathematics}, publisher = {New York, NY: Springer}, year = {2003}, language = {en} } @article{DeuflhardHochmuth2004, author = {Deuflhard, Peter and Hochmuth, Reinhard}, title = {Multiscale analysis of thermoregulation in the human microvascular system}, volume = {27}, journal = {Math. Methods Appl. Sci.}, number = {8}, publisher = {Wiley Verlag}, pages = {971 -- 989}, year = {2004}, language = {en} } @book{DeuflhardHohmann1991, author = {Deuflhard, Peter and Hohmann, Andreas}, title = {Numerische Mathematik I. Eine algorithmisch orientierte Einf{\"u}hrung}, publisher = {de Gruyter Lehrbuch,Berlin}, year = {1991}, language = {en} } @book{DeuflhardHohmann1995, author = {Deuflhard, Peter and Hohmann, Andreas}, title = {Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz}, publisher = {de Gruyter Textbook. Berlin: De Gruyter}, year = {1995}, language = {en} } @article{DeuflhardHuisingaFischeretal.2000, author = {Deuflhard, Peter and Huisinga, Wilhelm and Fischer, Alexander and Sch{\"u}tte, Christof}, title = {Identification of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains}, volume = {315}, journal = {Lin. Alg. Appl.}, pages = {39 -- 59}, year = {2000}, language = {en} } @incollection{DeuflhardWeber2005, author = {Deuflhard, Peter and Weber, Marcus}, title = {Robust Perron Cluster Analysis in Conformation Dynamics}, volume = {398}, booktitle = {Lin. Alg. Appl. - Special Issue on Matrices and Mathematical Biology}, publisher = {Elsevier Journals}, address = {Germany}, pages = {161 -- 184}, year = {2005}, language = {en} } @phdthesis{Deuflhard1968, author = {Deuflhard, Peter}, title = {Stimulierte Brillouinstreuung in Germanium bei 10.6 μ}, address = {Physics Dept.}, year = {1968}, language = {en} } @phdthesis{Deuflhard1972, author = {Deuflhard, Peter}, title = {Ein Newton-Verfahren bei fastsingul{\"a}rer Funktionalmatrix zur L{\"o}sung von nichtlinearen Randwertaufgaben mit der Mehrzielmethode}, address = {Math. Institute University of Cologne}, year = {1972}, language = {en} } @phdthesis{Deuflhard1976, author = {Deuflhard, Peter}, title = {A Stepsize Control for Continuation Methods with Special Application to Multiple Shooting Techniques}, address = {Math. Institute, Munich University of Technology}, year = {1976}, language = {en} } @misc{Deuflhard2000, author = {Deuflhard, Peter}, title = {Therapieplanung an virtuellen Krebspatienten}, publisher = {M. Aigner, E. Behrends (eds.): Alles Mathematik. Von Pythagoras zum CD-Player. Vieweg Verlag, pp. 22-30}, year = {2000}, language = {en} } @misc{Deuflhard2003, author = {Deuflhard, Peter}, title = {Maler, M{\"o}rder, Mathematiker}, publisher = {Gegenworte: Der Mythos und die Wissenschaft. Berlin-Brandenburgische Akademie der Wissenschaften (BBAW), 12. Heft, pp. 25-30}, year = {2003}, language = {en} } @misc{Deuflhard2003, author = {Deuflhard, Peter}, title = {Maler, M{\"o}rder, Mathematiker}, publisher = {Mitteilungen der Deutschen MathematikerVereinigung (DMV), pp. 16-21, Heft 4}, year = {2003}, language = {en} } @misc{Deuflhard2005, author = {Deuflhard, Peter}, title = {Pittori, assassini, matematici}, publisher = {M. Manaresi (ed.), Matematica e Cultura in Europa. Springer-Verlag Italia, pp. 145-155}, year = {2005}, language = {en} } @misc{Deuflhard1980, author = {Deuflhard, Peter}, title = {Linear and nonlinear least squares computing in view of control applications}, publisher = {Sonderforschungsbereich 123, Stochastische Mathematische Modelle. Universit{\"a}t Heidelberg}, pages = {85 -- 92}, year = {1980}, language = {en} } @misc{Deuflhard1998, author = {Deuflhard, Peter}, title = {Mathematics in Berlin}, editor = {et al. Begehr, H.}, publisher = {Basel: Birkh{\"a}user}, pages = {183 -- 184}, year = {1998}, language = {en} } @misc{DeuflhardFelixWust1999, author = {Deuflhard, Peter and Felix, Roland and Wust, Peter}, title = {W{\"a}rme f{\"u}r das Leben. Mathematische Hyperthermieplanung am virtuellen Krebspatienten}, publisher = {In: D. H{\"o}mberg (ed.), 8. Veranstaltungsreihe Forschungspolitische Dialoge in Berlin: Angewandte Mathematik - die verborgene Schl{\"u}sseltechnologie, 30. April 1999, Konrad-Zuse-Zentrum Berlin, pp. 23-29}, year = {1999}, language = {en} } @incollection{Deuflhard2000, author = {Deuflhard, Peter}, title = {Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs}, volume = {1739}, booktitle = {Computational Mathematics Driven by Industrial Applications}, publisher = {Springer-Verlag}, pages = {69 -- 125}, year = {2000}, language = {en} } @incollection{Deuflhard2003, author = {Deuflhard, Peter}, title = {A Comparison of Related Concepts in Computational Chemistry and Mathematics}, volume = {88}, booktitle = {Chemisty and Mathematics}, number = {330}, pages = {51 -- 66}, year = {2003}, language = {en} } @incollection{Deuflhard2003, author = {Deuflhard, Peter}, title = {From Molecular Dynamics to Conformational Dynamics in Drug Design}, booktitle = {Trends in Nonlinear Analysis}, editor = {et al. Kirkilionis, Markus}, publisher = {Springer Verlag Berlin}, pages = {269 -- 288}, year = {2003}, language = {en} } @article{Deuflhard2004, author = {Deuflhard, Peter}, title = {bookreview}, volume = {106}, journal = {Annual Report DMV}, pages = {43}, year = {2004}, language = {en} } @book{Deuflhard2004, author = {Deuflhard, Peter}, title = {Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms}, journal = {Springer Series in Computational Mathematics}, publisher = {Springer}, year = {2004}, language = {en} } @book{Deuflhard2006, author = {Deuflhard, Peter}, title = {Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms}, journal = {Springer Series in Computational Mathematics}, publisher = {Springer}, year = {2006}, language = {en} } @article{Deuflhard1974, author = {Deuflhard, Peter}, title = {A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting}, volume = {22}, journal = {Numer. Math.}, pages = {289 -- 315}, year = {1974}, language = {en} } @incollection{Deuflhard1975, author = {Deuflhard, Peter}, title = {A Relaxation Strategy for the Modified Newton Method}, volume = {477}, booktitle = {Optimization and Optimal Control}, publisher = {Springer}, pages = {59 -- 73}, year = {1975}, language = {en} } @article{Deuflhard1976, author = {Deuflhard, Peter}, title = {On Algorithms for the Summation of Certain Special Functions}, volume = {17}, journal = {Computing}, pages = {37 -- 48}, year = {1976}, language = {en} } @article{Deuflhard1977, author = {Deuflhard, Peter}, title = {A Summation Technique for Minimal Solutions of Linear Homogeneous Difference Equations}, volume = {18}, journal = {Computing}, pages = {1 -- 13}, year = {1977}, language = {en} } @inproceedings{DeuflhardApostolescu1978, author = {Deuflhard, Peter and Apostolescu, Victor}, title = {An Underrelaxed Gauss-Newton Method for Equality Constrained Nonlinear Least Squares Problems}, volume = {7}, booktitle = {Optimization Techniques, Proc. 8th IFIP Conf., W{\"u}rzburg 1977, part 2}, editor = {Stoer, J.}, publisher = {Springer}, pages = {22 -- 32}, year = {1978}, language = {en} } @inproceedings{Deuflhard1979, author = {Deuflhard, Peter}, title = {Nonlinear Equation Solvers in Boundary Value Problem Codes}, volume = {74}, booktitle = {Proc. Working Conf. on Codes for BVPs in ODEs, Houston/Texas 1978}, editor = {Childs, B.}, publisher = {Springer}, pages = {40 -- 66}, year = {1979}, language = {en} } @article{Deuflhard1979, author = {Deuflhard, Peter}, title = {A study of extrapolation methods based on multistep schemes without parasitic solutions}, volume = {30}, journal = {J.App.Math.Phys.(ZAMP)}, pages = {177 -- 189}, year = {1979}, language = {en} } @article{Deuflhard1979, author = {Deuflhard, Peter}, title = {A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques}, volume = {33}, journal = {Numer. Math.}, pages = {115 -- 146}, year = {1979}, language = {en} } @incollection{Deuflhard1980, author = {Deuflhard, Peter}, title = {Recent Advances in Multiple Shooting Techniques}, booktitle = {Computational Techniques for Ordinary Differential Equations}, publisher = {London: Academic Press}, pages = {217 -- 272}, year = {1980}, language = {en} } @misc{DeuflhardZachow2012, author = {Deuflhard, Peter and Zachow, Stefan}, title = {Mathematische Therapie- und Operationsplanung}, publisher = {Berliner Wirtschaftsgespr{\"a}che e.V.}, address = {Berlin}, pages = {89 -- 90}, year = {2012}, language = {en} } @incollection{DeuflhardDoesselLouisetal.2010, author = {Deuflhard, Peter and D{\"o}ssel, Olaf and Louis, Alfred and Zachow, Stefan}, title = {More Mathematics into Medicine!}, booktitle = {Production Factor Mathematics}, publisher = {Springer}, pages = {357 -- 378}, year = {2010}, language = {en} } @article{WeiserZachowDeuflhard2010, author = {Weiser, Martin and Zachow, Stefan and Deuflhard, Peter}, title = {Craniofacial Surgery Planning Based on Virtual Patient Models}, volume = {52}, journal = {it - Information Technology}, number = {5}, publisher = {Oldenbourg Verlagsgruppe}, doi = {10.1524/itit.2010.0600}, pages = {258 -- 263}, year = {2010}, language = {en} } @incollection{DeuflhardDoesselLouisetal.2008, author = {Deuflhard, Peter and D{\"o}ssel, Olaf and Louis, Alfred and Zachow, Stefan}, title = {Mehr Mathematik wagen in der Medizin}, booktitle = {acatech diskutiert, Produktionsfaktor Mathematik - Wie Mathematik Technik und Wirtschaft bewegt}, publisher = {Springer}, doi = {10.1007/978-3-540-89435-3}, pages = {435 -- 459}, year = {2008}, language = {en} } @article{ZachowDeuflhard2008, author = {Zachow, Stefan and Deuflhard, Peter}, title = {Computergest{\"u}tzte Planung in der kraniofazialen Chirurgie}, journal = {Face 01/08, Int. Mag. of Orofacial Esthetics}, publisher = {Oemus Journale Leipzig}, pages = {43 -- 49}, year = {2008}, language = {en} } @inproceedings{ZachowHegeDeuflhard2004, author = {Zachow, Stefan and Hege, Hans-Christian and Deuflhard, Peter}, title = {Computergest{\"u}tzte Operationsplanung in der Gesichtschirurgie}, booktitle = {Proc. VDE Kongress 2004 - Innovationen f{\"u}r Menschen, Band 2, Fachtagungsberichte DGBMT - GMM - GMA}, pages = {53 -- 58}, year = {2004}, language = {en} } @article{HaberlHellZoeckleretal.2004, author = {Haberl, Hannes and Hell, Bertold and Z{\"o}ckler, Maja and Zachow, Stefan and Lamecker, Hans and Sarrafzadeh, Asita and Riecke, B. and Langsch, Wolfgang and Deuflhard, Peter and Bier, J{\"u}rgen and Brock, Mario}, title = {Technical aspects and results of surgery for craniosynostosis}, volume = {65}, journal = {Zentralblatt f{\"u}r Neurochirurgie}, number = {2}, pages = {65 -- 74}, year = {2004}, language = {en} } @article{ZachowHegeDeuflhard2005, author = {Zachow, Stefan and Hege, Hans-Christian and Deuflhard, Peter}, title = {Maxillofacial surgery planning with 3D soft tissue prediction - modeling, planning, simulation}, journal = {2. Int. Conf. on Advanced Digital Technology in Head and Neck Reconstruction, Abstract 33}, address = {Banff, Alberta, CA}, pages = {64}, year = {2005}, language = {en} } @book{DeuflhardRoeblitz2015, author = {Deuflhard, Peter and R{\"o}blitz, Susanna}, title = {A guide to numerical modelling in systems biology}, volume = {12}, publisher = {Springer}, isbn = {978-3-319-20058-3}, doi = {10.1007/978-3-319-20059-0}, year = {2015}, language = {en} } @article{MoualeuNgangueRoeblitzEhrigetal.2015, author = {Moualeu-Ngangue, Dany Pascal and R{\"o}blitz, Susanna and Ehrig, Rainald and Deuflhard, Peter}, title = {Parameter Identification in a Tuberculosis Model for Cameroon}, journal = {PLOS ONE}, doi = {10.1371/journal.pone.0120607}, year = {2015}, abstract = {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.}, language = {en} } @misc{SteinWeberScharkoietal.2013, author = {Stein, Christoph and Weber, Marcus and Scharkoi, Olga and Deuflhard, Peter}, title = {Method and system for identifying compounds that bind and preferably activate a target opioid receptor in a pH-dependent manner}, journal = {European Patent Application, Bulletin 2013/28}, year = {2013}, language = {en} } @misc{DeuflhardWeber2014, author = {Deuflhard, Peter and Weber, Marcus}, title = {Mathematics without pain}, volume = {1}, journal = {MATHEON-Mathematics for Key Technologies}, 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 Skutella, Martin and Sprekels, J{\"u}rgen}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {26 -- 28}, year = {2014}, language = {en} } @misc{DeuflhardKornhuberSanderetal.2014, author = {Deuflhard, Peter and Kornhuber, Ralf and Sander, Oliver and Schiela, Anton and Weiser, Martin}, title = {Mathematics cures virtual patients}, volume = {1}, journal = {MATHEON-Mathematics for Key Technologies}, 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}, pages = {7 -- 25}, year = {2014}, language = {en} } @article{MoualeuNgangueWeiserEhrigetal.2015, author = {Moualeu-Ngangue, Dany Pascal and Weiser, Martin and Ehrig, Rainald and Deuflhard, Peter}, title = {Optimal control for a tuberculosis model with undetected cases in Cameroon}, volume = {20}, journal = {Communications in Nonlinear Science and Numerical Simulation}, number = {3}, doi = {10.1016/j.cnsns.2014.06.037}, pages = {986 -- 1003}, year = {2015}, abstract = {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.}, language = {en} } @misc{DeuflhardHege2015, author = {Deuflhard, Peter and Hege, Hans-Christian}, title = {Raumtiefe in Malerei und Computergrafik}, 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}, year = {2015}, 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} }