@misc{GalliatHuisingaDeuflhard1999, author = {Galliat, Tobias and Huisinga, Wilhelm and Deuflhard, Peter}, title = {Self-Organizing Maps Combined with Eigenmode Analysis for Automated Cluster Identification}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4279}, number = {SC-99-38}, year = {1999}, abstract = {One of the important tasks in Data Mining is automated cluster analysis. Self-Organizing Maps (SOMs) introduced by {\sc Kohonen} are, in principle, a powerful tool for this task. Up to now, however, its cluster identification part is still open to personal bias. The present paper suggests a new approach towards automated cluster identification based on a combination of SOMs with an eigenmode analysis that has recently been developed by {\sc Deuflhard et al.} in the context of molecular conformational dynamics. Details of the algorithm are worked out. Numerical examples from Data Mining and Molecular Dynamics are included.}, language = {en} } @misc{Deuflhard1990, author = {Deuflhard, Peter}, title = {Zuses Werk weiterdenken. (Vortrag)}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4717}, number = {TR-90-07}, year = {1990}, language = {de} } @misc{DeuflhardHuisingaFischeretal.1998, 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}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3469}, number = {SC-98-03}, year = {1998}, abstract = {The topic of the present paper bas been motivated by a recent computational approach to identify chemical conformations and conformational changes within molecular systems. After proper discretization, the conformations show up as almost invariant aggregates in reversible nearly uncoupled Markov chains. Most of the former work on this subject treated the direct problem: given the aggregates, analyze the loose coupling in connection with the computation of the stationary distribution (aggregation/disaggregation techniques). In contrast to that the present paper focuses on the inverse problem: given the system as a whole, identify the almost invariant aggregates together with the associated transition probabilites. A rather simple and robust algorithm is suggested and illustrated by its application to the n-pentane molecule.}, language = {en} } @misc{SchuetteFischerHuisingaetal.1998, author = {Sch{\"u}tte, Christof and Fischer, Alexander and Huisinga, Wilhelm and Deuflhard, Peter}, title = {A Hybrid Monte Carlo Method for Essential Molecular Dynamics}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3474}, number = {SC-98-04}, year = {1998}, abstract = {Recently, a novel concept for the computation of essential features of Hamiltonian systems (such as those arising in molecular dynamics) has been proposed. The realization of that concept was based on subdivision techniques applied to the Frobenius--Perron operator for the dynamical system. The present paper suggests an alternative but related concept based on statistical mechanics, which allows to attack realistic molecular systems. In a first step, the frequency of conformational changes is characterized in statistical terms leading to the definition of some Markov operator \$T\$ that describes the corresponding transition probabilities within the canonical ensemble. In a second step, a discretization of \$T\$ via hybrid Monte Carlo techniques (based on short term subtrajectories only) is shown to lead to a stochastic matrix \$P\$. With these theoretical preparations, an identification algorithm for conformations is applicable (to be presented elsewhere). Numerical results for the n-pentane molecule are given and interpreted.}, language = {en} } @misc{DeuflhardFrieseSchmidt1997, author = {Deuflhard, Peter and Friese, Tilmann and Schmidt, Frank}, title = {A Nonlinear Multigrid Eigenproblem Solver for the Complex Helmholtz Equation}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3240}, number = {SC-97-55}, year = {1997}, abstract = {The paper is motivated by the need for a fast robust adaptive multigrid method to solve complex Helmholtz eigenvalue problems arising from the design of optical chips. A nonlinear multigrid method is developed, which can be regarded as an extension of a previous adaptive Rayleigh quotient minimization method for selfadjoint Helmholtz eigenproblems. Since the complex Helmholtz operator is just a compact nonselfadjoint perturbation of a selfadjoint operator, linear algebra techniques like Schur decomposition can be extended from the finite dimensional case. The efficiency of the derived adaptive nonlinear multigrid method is illustrated by computations for a technologically relevant integrated optics component containing Multi Quantum Well Layers.}, language = {en} } @book{DeuflhardBornemann1994, author = {Deuflhard, Peter and Bornemann, Folkmar A.}, title = {Numerische Mathematik. II}, publisher = {De Gruyter Lehrbuch. Berlin: de Gruyter}, year = {1994}, language = {en} } @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} } @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} }