@inproceedings{ErdmannKoberLangetal.2002, author = {Erdmann, Bodo and Kober, C. and Lang, Jens and Deuflhard, Peter and Zeilhofer, J. and Sader, Robert}, title = {Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible}, booktitle = {proceedings of 9th Workshop on The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields}, address = {Ulm, Germany}, year = {2002}, language = {en} } @inproceedings{EhrigNowakDeuflhard1998, author = {Ehrig, Rainald and Nowak, Ulrich and Deuflhard, Peter}, title = {Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms}, booktitle = {Procs. 16th International Workshop on Distributed Data Processing, Novosibirsk, Russia}, editor = {Khoroshevsky, V.}, pages = {1 -- 6}, year = {1998}, language = {en} } @article{GladilinZachowDeuflhardetal.2002, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {A nonlinear elastic soft tissue model for craniofacial surgery simulations}, volume = {12}, journal = {ESAIM, Proc.}, doi = {10.1051/proc:2002011}, pages = {61 -- 66}, year = {2002}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2002, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {A nonlinear soft tissue model for craniofacial surgery simulations}, booktitle = {Proc. of Modeling and Simulation for Computer-aided Medicine and Surgery (MS4CMS}, publisher = {INRIA}, address = {Paris, France}, year = {2002}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2002, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {Biomechanical modeling of individual facial emotion expressions}, booktitle = {Proc. of Visualization, Imaging, and Image Processing (VIIP)}, address = {Malaga, Spain}, pages = {7 -- 11}, year = {2002}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2002, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {Biomechanisches Modell zur Absch{\"a}tzung der individuellen Gesichtsmimik}, booktitle = {Proc.of Workshop Bildverarbeitung f{\"u}r die Medizin (BVM)}, editor = {Meiler, M. and Saupe, D. and Krugel, F. and Handels, H. and Lehmann, T.}, address = {Leipzig, Germany}, pages = {25 -- 28}, year = {2002}, language = {en} } @article{Deuflhard1980, author = {Deuflhard, Peter}, title = {Kepler discretization in regular celestial mechanics}, volume = {21}, journal = {Celestial Mech.}, pages = {213 -- 223}, year = {1980}, language = {en} } @article{BaderDeuflhard1983, author = {Bader, G. and Deuflhard, Peter}, title = {A semi-implicit mid-point rule for stiff systems of ordinary differential equations}, volume = {41}, journal = {Numer. Math.}, pages = {373 -- 398}, year = {1983}, language = {en} } @article{Deuflhard1983, author = {Deuflhard, Peter}, title = {Order and Stepsize Control in Extrapolation Methods}, volume = {41}, journal = {Numer. Math.}, pages = {399 -- 422}, year = {1983}, language = {en} } @article{Deuflhard1984, author = {Deuflhard, Peter}, title = {Computation of Periodic Solutions of Nonlinear ODEs}, volume = {24}, journal = {BIT}, pages = {456 -- 466}, year = {1984}, language = {en} } @article{Deuflhard1985, author = {Deuflhard, Peter}, title = {Recent Progress in Extrapolation Methods for Ordinary Differential Equations}, volume = {27}, journal = {SIAM Rev.}, pages = {505 -- 535}, year = {1985}, language = {en} } @article{Deuflhard1989, author = {Deuflhard, Peter}, title = {Numerical Treatment of Implicit Differential Equations and Differential Algebraic Systems}, volume = {69}, journal = {ZAMM}, number = {4}, pages = {T32}, year = {1989}, language = {en} } @inproceedings{Deuflhard1990, author = {Deuflhard, Peter}, title = {Uniqueness Theorems for Stiff ODE Initial Value Problems}, booktitle = {Numerical analysis 1989, proceedings 13th Biennial Conference on Numerical Analysis 1989,}, editor = {Griffiths, D. and Watson, G.}, publisher = {Dundee, Longman Scientific \& Technical, Harlow, Essex, UK,}, pages = {74 -- 205}, year = {1990}, language = {en} } @article{Deuflhard1991, author = {Deuflhard, Peter}, title = {Global inexact Newton methods for very large scale nonlinear problems}, volume = {3}, journal = {IMPACT Comput. Sci. Eng.}, pages = {366 -- 393}, year = {1991}, language = {en} } @inproceedings{Deuflhard1992, author = {Deuflhard, Peter}, title = {Stochastic Versus Deterministic Numerical ODE Integration}, booktitle = {Proc. 1st Workshop on Stochastic Numerics, Berlin}, editor = {Platen, E.}, pages = {16 -- 20}, year = {1992}, language = {en} } @inproceedings{Deuflhard1994, author = {Deuflhard, Peter}, title = {Cascadic conjugate gradient methods for elliptic partial differential equations}, volume = {180}, booktitle = {Domain decomposition methods in scientific and engineering computing}, editor = {et al. Keyes, David}, publisher = {Providence, RI: American Mathematical Society}, pages = {29 -- 42}, year = {1994}, language = {en} } @incollection{LangErdmannKoberetal.2003, author = {Lang, Jens and Erdmann, Bodo and Kober, Cornelia and Deuflhard, Peter and Sader, Robert and Zeilhofer, Hans-Florian}, title = {Effiziente und zuverl{\"a}ssige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers}, volume = {1}, booktitle = {Berichte des IZWR - Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen}, editor = {Alt, Walter and Hermann, Martin}, publisher = {Universit{\"a}t Jena}, address = {Germany}, pages = {49 -- 57}, year = {2003}, language = {en} } @inproceedings{LameckerSeebassHegeetal.2004, author = {Lamecker, Hans and Seebaß, Martin and Hege, Hans-Christian and Deuflhard, Peter}, title = {A 3d statistical shape model of the pelvic bone for segmentation}, volume = {5370}, booktitle = {Proc. SPIE Medical Imaging 2004}, editor = {Fitzpatrick, J. and Sonka, Milan}, pages = {1341 -- 1351}, year = {2004}, language = {en} } @inproceedings{LameckerSeebassLangeetal.2004, author = {Lamecker, Hans and Seebass, Martin and Lange, Thomas and Hege, Hans-Christian and Deuflhard, Peter}, title = {Visualization of the variability of 3D statistical shape models by animation}, volume = {98}, booktitle = {Proc. Medicine Meets Virtual Reality}, editor = {Westwood, J.}, publisher = {IOS Press}, pages = {190 -- 196}, year = {2004}, language = {en} } @article{KlapprothDeuflhardSchiela2009, author = {Klapproth, Corinna and Deuflhard, Peter and Schiela, Anton}, title = {A Perturbation Result for Dynamical Contact Problems}, volume = {2}, journal = {Numer. Math}, pages = {237 -- 257}, year = {2009}, language = {en} } @inproceedings{KoberSaderZeilhoferetal.2003, author = {Kober, C. and Sader, Robert and Zeilhofer, Hans-Florian and Deuflhard, Peter}, title = {An Individual Anisotropic and Inhomogeneous Material Description of the Human Mandible}, booktitle = {Mathematical Modelling and Computing in Biology and Medicine}, editor = {Capasso, Vincenzo}, publisher = {ESTMB}, pages = {103 -- 109}, year = {2003}, language = {en} } @article{KoerberSchaberEhrigetal.1998, author = {Koerber, Jens and Schaber, Karlheinz and Ehrig, Rainald and Deuflhard, Peter}, title = {Modelling and simulation of aerosol formation in absorption processes}, volume = {29}, journal = {J. Aerosol Sci}, pages = {579 -- 580}, year = {1998}, language = {en} } @inproceedings{NowakDeuflhard1983, author = {Nowak, Ulrich and Deuflhard, Peter}, title = {Towards Parameter Identification for Large Chemical Reaction Systems}, volume = {2}, booktitle = {Numerical Treatment of Inverse Problems in Differential and Integral Equations}, publisher = {Boston: Birkh{\"a}user}, pages = {13 -- 26}, year = {1983}, language = {en} } @article{NowakDeuflhard1985, author = {Nowak, Ulrich and Deuflhard, Peter}, title = {Numerical Identification of Selected Rate Constants in Large Chemical Reaction Systems}, volume = {1}, journal = {Appl. Numer. Math.}, pages = {59 -- 75}, year = {1985}, language = {en} } @article{DeuflhardErdmannRoitzschetal.2009, author = {Deuflhard, Peter and Erdmann, Bodo and Roitzsch, Rainer and Lines, Glenn Terje}, title = {Adaptive Finite Element Simulation of Ventricular Dynamics}, volume = {12}, journal = {J. Computing and Visualization in Science}, pages = {201 -- 205}, year = {2009}, language = {en} } @article{SchuetteFischerHuisingaetal.1999, author = {Sch{\"u}tte, Christof and Fischer, Alexander and Huisinga, Wilhelm and Deuflhard, Peter}, title = {A Direct Approach to Conformational Dynamics Based on Hybrid Monte Carlo}, volume = {151}, journal = {J. Comput. Phys.}, pages = {146 -- 168}, year = {1999}, language = {en} } @incollection{SchmidtFrieseZschiedrichetal.2003, author = {Schmidt, Frank and Friese, T. and Zschiedrich, Lin and Deuflhard, Peter}, title = {Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design}, booktitle = {Mathematics - Key Technology for the Future}, publisher = {Springer}, pages = {270 -- 292}, year = {2003}, language = {en} } @incollection{SchuetteHuisingaDeuflhard2001, author = {Sch{\"u}tte, Christof and Huisinga, Wilhelm and Deuflhard, Peter}, title = {Transfer operator approach to conformational dynamics in biomolecular systems}, booktitle = {Ergodic theory, analysis, and efficient simulation of dynamical systems}, editor = {Fiedler, Bernold}, publisher = {Berlin: Springer}, pages = {191 -- 223}, year = {2001}, language = {en} } @article{SchaberKoerberOfenlochetal.2002, author = {Schaber, Karlheinz and Koerber, Jens and Ofenloch, O. and Ehrig, Rainald and Deuflhard, Peter}, title = {Aerosol Formation in Gas-Liquid Contact Devices- Nucleation, Growth and Particle Dynamics}, volume = {57}, journal = {Chem.Eng.Sci.}, pages = {4345 -- 4356}, year = {2002}, language = {en} } @article{SchaberOfenlochEhrigetal.2004, author = {Schaber, Karlheinz and Ofenloch, Oliver and Ehrig, Rainald and Deuflhard, Peter}, title = {Aerosolbildung in Gas/Fl{\"u}ssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation}, volume = {76}, journal = {Chemie Ingenieur Technik}, number = {9}, pages = {1358 -- 1359}, year = {2004}, language = {en} } @inproceedings{SchoepfDeuflhard1994, author = {Sch{\"o}pf, R. and Deuflhard, Peter}, title = {OCCAL. A mixed symbolic-numeric optimal control calculator}, volume = {115}, booktitle = {Computational optimal control}, editor = {et al. Bulirsch, R.}, publisher = {Birkh{\"a}user Verlag Basel}, pages = {269 -- 278}, year = {1994}, language = {en} } @inproceedings{SchmidtDeuflhard1994, author = {Schmidt, Frank and Deuflhard, Peter}, title = {Discrete Transparent Boundary Conditions for Fresnel's Equation}, booktitle = {Integrated Photonics Research}, address = {San Francisco, California, USA}, pages = {45 -- 47}, year = {1994}, language = {en} } @article{SchmidtDeuflhard1995, author = {Schmidt, Frank and Deuflhard, Peter}, title = {Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel's Equation.}, volume = {29}, journal = {Comput. Math. Appl.}, pages = {53 -- 76}, year = {1995}, language = {en} } @inproceedings{ReineckeDeuflhard2008, author = {Reinecke, Isabel and Deuflhard, Peter}, title = {Model Development and Decomposition in Physiology}, volume = {2}, booktitle = {Handbook of Research on Systems Biology Applications in Medicine}, editor = {Daskalaki, A.}, pages = {759 -- 797}, year = {2008}, language = {en} } @article{ReineckeDeuflhard2007, author = {Reinecke, Isabel and Deuflhard, Peter}, title = {A Complex Mathematical Model of the Human Menstrual Cycle}, volume = {247}, journal = {Journal of Theoretical Biology}, number = {2}, pages = {303 -- 330}, year = {2007}, language = {en} } @techreport{DeuflhardFiedlerKunkel1984, author = {Deuflhard, Peter and Fiedler, B. and Kunkel, P.}, title = {Efficient numerical pathfollowing beyond critical points}, number = {278}, publisher = {Universit{\"a}t Heidelberg}, year = {1984}, language = {en} } @article{DierkesRoeblitzWadeetal.2013, author = {Dierkes, Thomas and R{\"o}blitz, Susanna and Wade, Moritz and Deuflhard, Peter}, title = {Parameter identification in large kinetic networks with BioPARKIN}, volume = {abs/1303.4928}, journal = {CoRR - Computing Research Repository - arXiv.org}, year = {2013}, language = {en} } @article{RoeblitzStoetzelDeuflhardetal.2013, author = {R{\"o}blitz, Susanna and St{\"o}tzel, Claudia and Deuflhard, Peter and Jones, Hannah M. and Azulay, David-Olivier and van der Graaf, Piet and Martin, Steven}, title = {A mathematical model of the human menstrual cycle for the administration of GnRH analogues}, volume = {321}, journal = {Journal of Theoretical Biology}, doi = {10.1016/j.jtbi.2012.11.020}, pages = {8 -- 27}, year = {2013}, language = {en} } @incollection{ZachowWeiserHegeetal.2005, author = {Zachow, Stefan and Weiser, Martin and Hege, Hans-Christian and Deuflhard, Peter}, title = {Soft Tissue Prediction in Computer Assisted Maxillofacial Surgery Planning}, booktitle = {Biomechanics Applied to Computer Assisted Surgery}, editor = {Payan, Y.}, publisher = {Research Signpost}, pages = {277 -- 298}, year = {2005}, language = {en} } @incollection{ZachowWeiserDeuflhard2008, author = {Zachow, Stefan and Weiser, Martin and Deuflhard, Peter}, title = {Modellgest{\"u}tzte Operationsplanung in der Kopfchirurgie}, booktitle = {Modellgest{\"u}tzte Therapie}, editor = {Niederlag, Wolfgang and Lemke, Heinz and Meixensberger, J{\"u}rgen and Baumann, Michael}, publisher = {Health Academy}, pages = {140 -- 156}, year = {2008}, language = {en} } @article{ZeilhoferZachowFairleyetal.2000, author = {Zeilhofer, Hans-Florian and Zachow, Stefan and Fairley, Jeffrey and Sader, Robert and Deuflhard, Peter}, title = {Treatment Planning and Simulation in Craniofacial Surgery with Virtual Reality Techiques}, volume = {28 (Suppl. 1)}, journal = {Journal of Cranio-Maxillofacial Surgery}, pages = {82}, year = {2000}, language = {en} } @article{WeiserDeuflhardErdmann2007, author = {Weiser, Martin and Deuflhard, Peter and Erdmann, Bodo}, title = {Affine conjugate adaptive Newton methods for nonlinear elastomechanics}, volume = {22}, journal = {Opt. Meth. Softw.}, number = {3}, pages = {413 -- 431}, year = {2007}, language = {en} } @article{WixSchaberOfenlochetal.2007, author = {Wix, A. and Schaber, Karlheinz and Ofenloch, O. and Ehrig, Rainald and Deuflhard, Peter}, title = {Simulation of Aerosol Formation in Gas-Liquid Contact Devices}, volume = {194}, journal = {Chem. Eng. Comm.}, pages = {565 -- 577}, year = {2007}, language = {en} } @incollection{WulkowDeuflhard1992, author = {Wulkow, Michael and Deuflhard, Peter}, title = {Towards an Efficient Computational Treatment of Heterogeneous Polymer Reactions}, booktitle = {Computational Ordinary Differential Equations}, editor = {Fatunla, S.}, publisher = {University Press, Nigeria}, pages = {287 -- 306}, year = {1992}, language = {en} } @article{WeberKubeWalteretal.2007, author = {Weber, Marcus and Kube, Susanna and Walter, Lionel and Deuflhard, Peter}, title = {Stable Computation of Probability Densities of Metastable Dynamical Systems}, volume = {6}, journal = {SIAM J. Multiscale Model. Simul.}, number = {2}, pages = {396 -- 416}, year = {2007}, language = {en} } @article{WeiserSchielaDeuflhard2005, author = {Weiser, Martin and Schiela, Anton and Deuflhard, Peter}, title = {Asymptotic Mesh Independence of Newton's Method Revisited}, volume = {42}, journal = {SIAM J. Num. Anal.}, number = {5}, pages = {1830 -- 1845}, year = {2005}, language = {en} } @article{DeuflhardHuisingaJahnkeetal.2008, author = {Deuflhard, Peter and Huisinga, Wilhelm and Jahnke, Tobias and Wulkow, Michael}, title = {Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation}, volume = {30}, journal = {SIAM J. Sci. Comput}, number = {6}, pages = {2990 -- 3011}, year = {2008}, 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.}, number = {1-3}, doi = {10.1016/S0024-3795(00)00095-1}, pages = {39 -- 59}, year = {2000}, language = {en} } @inproceedings{DeuflhardDellnitzJungeetal.1999, 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 and Hermans, J. and Leimkuhler, Benedict and Marks, A. and Reich, Sebastian and Skeel, R.}, publisher = {Springer}, pages = {98 -- 115}, year = {1999}, language = {en} } @article{SchuetteFischerHuisingaetal.1999, author = {Sch{\"u}tte, Christof and Fischer, Alexander and Huisinga, Wilhelm and Deuflhard, Peter}, title = {A Direct Approach to Conformational Dynamics based on Hybrid Monte Carlo}, volume = {151}, journal = {J. Comp. Phys}, number = {1}, doi = {10.1006/jcph.1999.6231}, pages = {146 -- 168}, year = {1999}, language = {en} } @inproceedings{DeuflhardSchuette2004, author = {Deuflhard, Peter and Sch{\"u}tte, Christof}, title = {Molecular Conformation Dynamics and Computational Drug Design}, volume = {116}, booktitle = {Applied Mathematics Entering the 21st Century}, editor = {Hill, James and Moore, Ross}, publisher = {SIAM}, pages = {91 -- 119}, year = {2004}, language = {en} }