@book{DeuflhardHohmann1993, author = {Deuflhard, Peter and Hohmann, Andreas}, title = {Numerische Mathematik I. Eine algorithmisch orientierte Einf{\"u}hrung.(Numerical mathematics I. An algorithmically oriented introduction)}, edition = {2}, publisher = {de Gruyter Lehrbuch. Berlin: Walter de Gruyter,}, year = {1993}, language = {en} } @article{WeiserDeuflhard2007, author = {Weiser, Martin and Deuflhard, Peter}, title = {Inexact central path following algorithms for optimal control problems}, volume = {46}, journal = {SIAM J. Control Opt.}, number = {3}, pages = {792 -- 815}, year = {2007}, language = {en} } @inproceedings{BaderNowakDeuflhard1985, author = {Bader, G. and Nowak, Ulrich and Deuflhard, Peter}, title = {An Advanced Simulation Package for Large Chemical Reaction Systems}, booktitle = {Stiff Computation. Proc. Intern. Conf. Park City, Utah/USA}, editor = {Aiken, R.}, publisher = {Oxford University Press}, year = {1985}, language = {en} } @inproceedings{BeckDeuflhardHegeetal.1997, author = {Beck, Rudolf and Deuflhard, Peter and Hege, Hans-Christian and Seebass, Martin and Stalling, Detlev}, title = {Numerical Algorithms and Visualization in Medical Treament Planning}, booktitle = {Visualization and Mathematics}, editor = {Hege, Hans-Christian and Polthier, Konrad}, publisher = {Springer-Verlag}, pages = {303 -- 328}, year = {1997}, language = {en} } @article{BeckDeuflhardHiptmairetal.1999, author = {Beck, Rudolf and Deuflhard, Peter and Hiptmair, Ralf and Hoppe, Ronald H. W. and Wohlmuth, Barbara}, title = {Adaptive multilevel methods for edge element discretizations of Maxwell's equations}, volume = {8}, journal = {Surv. Math. Ind.}, number = {3-4}, pages = {271 -- 312}, year = {1999}, language = {en} } @inproceedings{BeckDeuflhardWustetal.1997, author = {Beck, Rudolf and Deuflhard, Peter and Wust, Peter and Felix, Roland}, title = {Electromagnetic Field Calculations by Finite Elements}, booktitle = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, pages = {77}, year = {1997}, language = {en} } @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} }