TY - GEN A1 - Deuflhard, Peter A1 - Gottschewski, Jürgen T1 - Das Konrad-Zuse-Zentrum für Informationstechnik Berlin. Struktur, wissenschaftliches Konzept und Einbettung in die Region N2 - Die Arbeit beschreibt Konzept, Struktur und Ausstattung des ZIB. Übergeordnetes Ziel des ZIB ist die Beschleunigung des {\it Know-how Transfers} aus der mathematischen Grundlagenforschung über die Entwicklung von Algorithmen und Software bis hin zur tatsächlichen Nutzung in der Industrie. In der Tat ist Computational Mathematics inzwischen zu einer der wichtigsten {\it Schlüsseltechnologien} geworden, die nicht zuletzt im Zusammenhang mit der Standort-Diskussion eine wichtige Rolle spielt und vermehrt spielen wird. Dazu müssen Methodenentwicklung und Rechenzentrum auf höchstem Niveau sowie interdisziplinäre Forschung möglichst vereint in einer Institution mit enger Anbindung an ein universitäres Umfeld realisiert sein. Das Konrad-Zuse-Zentrum hat die wesentlichen Voraussetzungen als SC Zentrum bereits geschaffen; ein Ausbau zum HPSC Zentrum wäre eine natürliche Entwicklung - falls die Politik diese Chance rechtzeitig begreift! T3 - ZIB-Report - TR-95-12 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-5274 ER - TY - GEN A1 - Deuflhard, Peter A1 - Hohmann, Andreas T1 - Einführung in die Numerische Mathematik. N2 - Diese Vorlesung ist eine Einführung in die Numerische Mathematik als einem der drei Bereiche (neben den Naturwissenschaften und der Informatik) des am besten mit dem Begriff Scientific Computing charakterisierten Forschungsgebietes. Aufgabe dieser relativ jungen Wissenschaft ist die Entwicklung von Rechenverfahren für Probleme aus den Naturwissenschaften mit Hilfe mathematischer Methoden. T3 - ZIB-Report - TR-90-06 Y1 - 1990 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4704 ER - TY - GEN A1 - Deuflhard, Peter T1 - Numerik von Anfangswertmethoden für gewöhnliche Differentialgleichungen. N2 - Das voliegende Skriptum entstand aus einer Vorlesung, die ich im WS 87/88 an der Freien Universität Berlin im Fachbereich Mathematik gehalten habe. Mein ursprüngliches Vorlesungsmanuskript wurde von Herrn F. Bornemann in weiten Teilen überarbeitet, reorganisiert und substantiell ergänzt. Der Inhalt stammt größtenteils aus Originalarbeiten jüngeren Datums. Darüberhinaus finden sich zahlreiche Teile, die aus meiner jahrelangen Beschäftigung mit dem Thema entstanden aber unpubliziert geblieben sind. Das Skriptum erhebt nicht den Anspruch, ein Lehrbuch zu sein. Es war zunächst als Ausarbeitung für meinen studentischen Hörerkreis sowie als internes Arbeitspapier für das ZIB bestimmt. Die Kunde von der bloßen Existenz eines solchen Skriptums hat jedoch zu einer derart regen Nachfrage geführt, daß es hiermit als Technischer Report des ZIB einer breiteren ffentlichkeit zugänglich gemacht werden soll. In der vorliegenden Form richtet es sich in erster Linie an Mathematiker; es soll sich jedoch auch für Naturwissenschaftler und Ingenieure eignen, die sich einen Einblick in den theoretischen und algorithmischen Hintergrund der von ihnen verwendeten wissenschaftlichen Software verschaffen wollen. T3 - ZIB-Report - TR-89-02 Y1 - 1989 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4580 ER - TY - GEN A1 - Braess, Dietrich A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - A Subspace Cascadic Multigrid Method for Mortar Elements N2 - A cascadic multigrid (CMG) method for elliptic problems with strong material jumps is proposed and analyzed. Non--matching grids at interfaces between subdomains are allowed and treated by mortar elements. The arising saddle point problems are solved by a subspace confined conjugate gradient method as smoother for the CMG. Details of algorithmic realization including adaptivity are elaborated. Numerical results illustrate the efficiency of this CMG algorithm. T3 - ZIB-Report - SC-99-07 KW - Finite Elements KW - Rayleigh-Ritz and Galerkin Methods KW - Multigrid Methods KW - Domain Decomposition Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3954 ER - TY - GEN A1 - Deuflhard, Peter T1 - Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs N2 - This series of lectures has been given to a class of mathematics postdocs at a European summer school on Computational Mathematics Driven by Industrial Applications in Martina Franca, Italy (organized by CIME). It deals with a variety of challenging real life problems selected from clinical cancer therapy, communication technology, polymer production, and pharmaceutical drug design. All of these problems from rather diverse application areas share two common features: (a) they have been modelled by various differential equations -- elliptic, parabolic, or Schrödinger--type partial differential equations, countable ordinary diffential equations, or Hamiltonian systems, (b) their numerical solution has turned out to be real challenge to computational mathematics. T3 - ZIB-Report - SC-99-34 KW - differential equations: KW - ordinary KW - partial KW - countable KW - hamiltonian KW - finite element methods: KW - adaptive KW - multilevel KW - grid generation KW - medical t Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4223 ER - TY - GEN A1 - Schütte, Christof A1 - Huisinga, Wilhelm A1 - Deuflhard, Peter T1 - Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems N2 - The article surveys the development of novel mathematical concepts and algorithmic approaches based thereon in view of their possible applicability to biomolecular design. Both a first deterministic approach, based on the Frobenius-Perron operator corresponding to the flow of the Hamiltonian dynamics, and later stochastic approaches, based on a spatial Markov operator or on Langevin dynamics, can be subsumed under the unified mathematical roof of the transfer operator approach to effective dynamics of molecular systems. The key idea of constructing specific transfer operators especially taylored for the purpose of conformational dynamics appears as the red line throughout the paper. Different steps of the algorithm are exemplified by a trinucleotide molecular system as a small representative of possible RNA drug molecules. T3 - ZIB-Report - SC-99-36 KW - Transfer operator KW - Markov process KW - Markov chain KW - molecular dynamics KW - biomolecular conformations KW - canonical ensemble KW - transition prohability KW - Ha Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4247 ER - TY - GEN A1 - Galliat, Tobias A1 - Huisinga, Wilhelm A1 - Deuflhard, Peter T1 - Self-Organizing Maps Combined with Eigenmode Analysis for Automated Cluster Identification N2 - 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. T3 - ZIB-Report - SC-99-38 KW - Self-Organizing Maps KW - cluster analysis Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4279 ER - TY - GEN A1 - Deuflhard, Peter T1 - Zuses Werk weiterdenken. (Vortrag) T3 - ZIB-Report - TR-90-07 Y1 - 1990 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4717 ER - TY - GEN A1 - Deuflhard, Peter A1 - Huisinga, Wilhelm A1 - Fischer, Alexander A1 - Schütte, Christof T1 - Identification of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains N2 - 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. T3 - ZIB-Report - SC-98-03 KW - essential molecular dynamics KW - nearly reducible KW - nearly completely decomposable KW - nearly uncoupled Markov chain KW - almost invariant aggregates KW - trans Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3469 ER - TY - GEN A1 - Schütte, Christof A1 - Fischer, Alexander A1 - Huisinga, Wilhelm A1 - Deuflhard, Peter T1 - A Hybrid Monte Carlo Method for Essential Molecular Dynamics N2 - 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. T3 - ZIB-Report - SC-98-04 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3474 ER - TY - GEN A1 - Deuflhard, Peter A1 - Friese, Tilmann A1 - Schmidt, Frank T1 - A Nonlinear Multigrid Eigenproblem Solver for the Complex Helmholtz Equation N2 - 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. T3 - ZIB-Report - SC-97-55 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3240 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Bornemann, Folkmar A. T1 - Numerische Mathematik. II Y1 - 1994 PB - De Gruyter Lehrbuch. Berlin: de Gruyter ER - TY - BOOK A1 - Deuflhard, Peter A1 - Hohmann, Andreas T1 - Numerische Mathematik I. Eine algorithmisch orientierte Einführung.(Numerical mathematics I. An algorithmically oriented introduction) Y1 - 1993 PB - de Gruyter Lehrbuch. Berlin: Walter de Gruyter, ET - 2 ER - TY - JOUR A1 - Weiser, Martin A1 - Deuflhard, Peter T1 - Inexact central path following algorithms for optimal control problems JF - SIAM J. Control Opt. Y1 - 2007 VL - 46 IS - 3 SP - 792 EP - 815 ER - TY - CHAP A1 - Bader, G. A1 - Nowak, Ulrich A1 - Deuflhard, Peter ED - Aiken, R. T1 - An Advanced Simulation Package for Large Chemical Reaction Systems T2 - Stiff Computation. Proc. Intern. Conf. Park City, Utah/USA Y1 - 1985 PB - Oxford University Press ER - TY - CHAP A1 - Beck, Rudolf A1 - Deuflhard, Peter A1 - Hege, Hans-Christian A1 - Seebass, Martin A1 - Stalling, Detlev ED - Hege, Hans-Christian ED - Polthier, Konrad T1 - Numerical Algorithms and Visualization in Medical Treament Planning T2 - Visualization and Mathematics Y1 - 1997 SP - 303 EP - 328 PB - Springer-Verlag ER - TY - JOUR A1 - Beck, Rudolf A1 - Deuflhard, Peter A1 - Hiptmair, Ralf A1 - Hoppe, Ronald H. W. A1 - Wohlmuth, Barbara T1 - Adaptive multilevel methods for edge element discretizations of Maxwell’s equations JF - Surv. Math. Ind. Y1 - 1999 VL - 8 IS - 3-4 SP - 271 EP - 312 ER - TY - JOUR A1 - Bornemann, Folkmar A. A1 - Deuflhard, Peter T1 - The cascadic multigrid method for elliptic problems JF - Numer. Math. Y1 - 1996 VL - 75 SP - 135 EP - 152 ER - TY - CHAP A1 - Bornemann, Folkmar A. A1 - Deuflhard, Peter ED - Glowinski, J. R. ED - Widlund, Olof T1 - Cascadic Multigrid Methods T2 - Domain Decomposition Methods in Sciences and Engineering Y1 - 1996 SP - 205 EP - 212 PB - John Wiley & Sons Ltd ER - TY - JOUR A1 - Böck, J. A1 - Deuflhard, Peter A1 - Hoeft, A. A1 - Korb, H. A1 - Wolpers, H. A1 - Steinmann, J. A1 - Hellige, G. T1 - Thermal recovery after passage of the pulmonary circulation assessed by deconvolution JF - J. Appl. Physiol. Y1 - 1988 VL - 64 IS - 3 SP - 1210 EP - 1216 ER - TY - JOUR A1 - Böck, J. A1 - Deuflhard, Peter A1 - Hoeft, A. A1 - Korb, H. A1 - Steinmann, J. A1 - Wolpers, H. A1 - Hellige, G. T1 - Evaluation of monoexponential extrapolation of transpulmonary thermal-dye kinetics by use of a new model-free deconvolution algorithm JF - Med Instrum Y1 - 1988 VL - 22 IS - 1 SP - 20 EP - 28 ER - TY - JOUR A1 - Boer, H. Marike T. A1 - Stötzel, Claudia A1 - Röblitz, Susanna A1 - Deuflhard, Peter A1 - Veerkamp, Roel F. A1 - Woelders, Henri T1 - A simple mathematical model of the bovine estrous cycle JF - Journal of Theoretical Biology Y1 - 2011 U6 - https://doi.org/10.1016/j.jtbi.2011.02.021 VL - 278 IS - 1 SP - 20 EP - 31 ER - TY - JOUR A1 - Asam, P. A1 - Deuflhard, Peter A1 - Kaiser, Wolfgang T1 - Intensity Limiting and Stimulated Brillouin Scattering in Germanium JF - Physics Letters Y1 - 1968 VL - 27 A SP - 78 EP - 79 ER - TY - JOUR A1 - Braess, Dietrich A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - A Subspace Cascadic Multigrid Method for Mortar Elements JF - Computing Y1 - 2002 VL - 69 SP - 205 EP - 225 ER - TY - JOUR A1 - Colli Franzone, Piero A1 - Deuflhard, Peter A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Pavarino, Luca Franco T1 - Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology JF - SIAM J. Sc. Comp. Y1 - 2006 VL - 28 SP - 942 EP - 962 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Schütte, Christof ED - Hill, James ED - Moore, Ross T1 - Molecular Conformation Dynamics and Computational Drug Design T2 - Applied Mathematics Entering the 21st Century Y1 - 2004 UR - ftp://ftp.zib.de/pub/zib-publications/reports/ZR-03-20.pdf IS - 116 SP - 91 EP - 119 PB - SIAM ER - TY - GEN A1 - Deuflhard, Peter A1 - Schütte, Christof A1 - Cordes, Frank A1 - Müller-Kurth, L. T1 - Konformationsdynamik. Mathematischer Entwurf hochspezifischer Biomoleküle Y1 - 1999 PB - In: D. Hömberg (ed.), 8. Veranstaltungsreihe Forschungspolitische Dialoge in Berlin: Angewandte Mathematik - die verborgene Schlüsseltechnologie, 30. April 1999, Konrad-Zuse-Zentrum Berlin, pp. 30-34 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebass, Martin ED - Lai, Choi-Hong ED - Bjørstad, Petter E. ED - Cross, Mark ED - Widlund, Olof T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia T2 - Procs. Eleventh International Conference on Domain Decomposition Methods Y1 - 1999 SP - 403 EP - 414 PB - DDM-org Press,Bergen ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Beck, Rudolf A1 - Hege, Hans-Christian ED - Sydow, Achim T1 - Hyperthermia Treatment Planning in Clinical Cancer Therapy:Modelling, Simulation, and Visualization T2 - Computational Physics, Chemistry and Biology Y1 - 1997 VL - 3 PB - Wissenschaft und Technik Verlag CY - Plenary keynote talk, 15th IMACS World Congress 1997 on Scientific Computation, Modelling and Applied Mathematics ER - TY - CHAP A1 - Deuflhard, Peter A1 - Weiser, Martin ED - et al. Bristeau, M.-O. T1 - Local inexact Newton multilevel FEM for nonlinear elliptic problems T2 - Computational science for the 21st century Y1 - 1997 SP - 129 EP - 138 PB - Chichester: John Wiley & Sons. ER - TY - CHAP A1 - Deuflhard, Peter A1 - Weiser, Martin ED - et al. Hackbusch, Wolfgang T1 - Global inexact Newton multilevel FEM for nonlinear elliptic problems T2 - Multigrid methods V. proceedings of the 5th European multigrid conference, held in Stuttgart, Germany, October 1–4, 1996. Y1 - 1998 VL - 3 SP - 71 EP - 89 PB - Berlin: Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Seebass, Martin T1 - A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning JF - Comput. Vis. Sci. Y1 - 2000 VL - 3 SP - 115 EP - 120 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Weiser, Martin T1 - Numerische Mathematik 3 Y1 - 2011 PB - de Gruyter, Berlin ER - TY - BOOK A1 - Deuflhard, Peter A1 - Weiser, Martin T1 - Adaptive numerical solution of PDEs Y1 - 2012 PB - de Gruyter CY - Berlin ER - TY - JOUR A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Zachow, Stefan T1 - Mathematics in Facial Surgery JF - AMS Notices Y1 - 2006 VL - 53 IS - 9 SP - 1012 EP - 1016 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Bornemann, Folkmar A. T1 - Numerische Mathematik. II Y1 - 2002 PB - de Gruyter Lehrbuch. Berlin: de Gruyter ET - 2 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Dellnitz, M. A1 - Junge, Oliver A1 - Schütte, Christof ED - Deuflhard, Peter T1 - Computation of essential molecular dynamics by subdivision techniques T2 - Computational molecular dynamics Y1 - 1998 VL - 4 SP - 98 EP - 115 PB - Berlin: Springer. ER - TY - JOUR A1 - Deuflhard, Peter A1 - Engl, H. A1 - Scherzer, O. T1 - A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions JF - Inverse Probl. Y1 - 1998 VL - 14 SP - 1081 EP - 1106 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Fiedler, P. A1 - Kunkel, P. T1 - Efficient numerical pathfollowing beyond critical points JF - SIAM J. Numer. Anal. Y1 - 1987 VL - 24 SP - 912 EP - 927 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Fiedler, B. A1 - Kunkel, P. T1 - Numerical Pathfollowing Beyond Critical Points in ODE Models T2 - Large Scale Scientific Computing Y1 - 1987 SP - 97 EP - 113 PB - Birkhäuser/Boston ER - TY - JOUR A1 - Deuflhard, Peter A1 - Freund, R. A1 - Walter, Artur T1 - Fast secant methods for the iterative solution of large nonsymmetric linear systems JF - IMPACT Comput. Sci. Eng. Y1 - 1990 VL - 2 SP - 244 EP - 276 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Hairer, E. A1 - Zugck, J. T1 - One-step and extrapolation methods for differential-algebraic systems JF - Numer. Math. Y1 - 1987 VL - 51 SP - 501 EP - 516 ER - TY - CHAP A1 - Deuflhard, Peter ED - Sydow, Achim T1 - Computational Mathematics as Key Technology T2 - Systems Analysis Modelling Simulation (SAMS),Proc. IMACS Symposium on Systems Analysis and Simulation, Berlin, 26-30 June 1995 Y1 - 1995 VL - 18-19 SP - 19 EP - 26 PB - Gordon and Breach Science Publishers SA ER - TY - GEN A1 - Deuflhard, Peter ED - et al. Begehr, H. T1 - Fast algorithms, fast computers: The Konrad-Zuse-Zentrum Berlin (ZIB) T2 - Mathematics in Berlin Y1 - 1998 SP - 183 EP - 184 PB - Basel: Birkhäuser ER - TY - CHAP A1 - Deuflhard, Peter ED - Davis, W. ED - Chu, M. ED - Dolan, P. ED - McConnell, J. ED - Noris, L. ED - Ortiz, E. ED - Plemmons, R. ED - Ridgeway, D. ED - Stewart, W. ED - York, Jr., J. ED - Doggett, W. ED - Gellai, B. ED - Gsponer, A. ED - Prioli, C. T1 - Commentary on Cornelius Lanczos’s Extended Boundary Value Problems T2 - Cornelius Lanczos Collected Published Papers with Commentaries Y1 - 1999 VL - VI SP - 3 EP - 650–3–653 PB - North Carolina State University, Raleigh ER - TY - CHAP A1 - Deuflhard, Peter ED - Davis, W. ED - Chu, M. ED - Dolan, P. ED - McConnell, J. ED - Noris, L. ED - Ortiz, E. ED - Plemmons, R. ED - Ridgeway, D. ED - Stewart, W. ED - York, Jr., J. ED - Doggett, W. ED - Gellai, B. ED - Gsponer, A. ED - Prioli, C. T1 - Commentary on Cornelius Lanczos’s Solution of Ordinary Differential Equations by Trigonometric Interpolation T2 - Cornelius Lanczos Collected Published Papers with Commentaries Y1 - 1999 VL - VI SP - 3 EP - 667–3–669 PB - North Carolina State University, Raleigh ER - TY - CHAP A1 - Deuflhard, Peter A1 - Ackermann, Jörg ED - Dikshit, H. ED - Michelli, C. T1 - Adaptive Discrete Galerkin-Methods for Macromolecular Processes T2 - Advances in Computational Mathematics Y1 - 1994 SP - 59 EP - 72 PB - World Scientific Publishing Co. Inc. ER - TY - CHAP A1 - Deuflhard, Peter A1 - Ackermann, Jörg ED - et al. Dikshit, H. T1 - Adaptive discrete Galerkin methods for macromolecular processes T2 - proceedings of the conference on advances in computational mathematics, held at New Delhi, India, January 5-9, 1993. Singapore Y1 - 1994 SP - 59 EP - 72 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Apostolescu, Victor T1 - A Study of the Gauss-Newton Method for the Solution of Nonlinear Least Squares Problems T2 - Special Topics of Applied Mathematics Y1 - 1980 SP - 129 EP - 150 PB - Amsterdam: North-Holland Publ. ER - TY - CHAP A1 - Deuflhard, Peter A1 - Bader, G. T1 - Multiple Shooting Techniques Revisited T2 - Numerical Treatment of Inverse Problems in Differential and Integral Equations Y1 - 1983 VL - 2 SP - 74 EP - 94 PB - Boston: Birkhäuser ER - TY - CHAP A1 - Deuflhard, Peter A1 - Bader, G. A1 - Nowak, Ulrich T1 - LARKIN - a Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics T2 - Modelling of Chemical Reaction Systems Y1 - 1981 VL - 18 SP - 38 EP - 55 PB - Springer Verlag ER - TY - BOOK A1 - Deuflhard, Peter A1 - Bornemann, Folkmar A. T1 - Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt T3 - Texts in Applied Mathematics Y1 - 2002 VL - 42 PB - New York, NY: Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Krause, Rolf A1 - Ertel, Susanne T1 - A Contact-Stabilized Newmark Method for Dynamical Contact Problems JF - International Journal for Numerical Methods in Engineering Y1 - 2007 VL - 73 IS - 9 SP - 1274 EP - 1290 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Lang, Jens A1 - Nowak, Ulrich ED - Neunzert, H. T1 - Recent Progress in Dynamical Process Simulation T2 - Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94) Y1 - 1996 SP - 122 EP - 137 PB - Wiley & Teubner ER - TY - JOUR A1 - Deuflhard, Peter A1 - Leinen, P. A1 - Yserentant, H. T1 - Concepts of an adaptive hierarchical finite element code JF - IMPACT Comput. Sci. Eng. Y1 - 1989 VL - 1 IS - 1 SP - 3 EP - 35 ER -