Edit Profile (opens in new tab) Deuflhard, Peter Compute Distance To: Compute Author ID: deuflhard.peter Published as: Deuflhard, Peter; Deuflhard, P.; Deuffhard, Peter; Deuffhard, P. more...less Homepage: https://www.zib.de/deuflhard/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 106 Publications since 1974, including 18 Books 4 Contributions as Editor Co-Authors: 94 Co-Authors with 84 Joint Publications 2,466 Co-Co-Authors all top 5 Co-Authors 23 single-authored 13 Weiser, Martin 7 Hohmann, Andreas 7 Schütte, Christof 6 Bornemann, Folkmar A. 6 Nowak, Ulrich 5 Schiela, Anton 4 Erdmann, Bodo 4 Huisinga, Wilhelm 4 Klapproth, Corinna 3 Fischer, Alexander 3 Hochmuth, Reinhard 3 Röblitz, Susanna 3 Wulkow, Michael 3 Zachow, Stefan 2 Apostolescu, Victor 2 Cordes, Frank 2 Ehrig, Rainald 2 Hairer, Ernst 2 Kunkel, Peter 2 Lang, Jens 2 Lipnikov, Konstantin N. 2 Mehrmann, Volker 2 Stötzel, Claudia 2 Weber, Marcus 1 Ackermann, Jörg 1 Azulay, David-Olivier 1 Beck, Rudolf 1 Boer, H. M. T. 1 Braess, Dietrich 1 Colli Franzone, Piero 1 Dellnitz, Michael 1 Dössel, Olaf 1 Engl, Heinz W. 1 Engquist, Bjorn E. 1 Ertel, Susanne 1 Fiedler, Bernold 1 Fiedler, Petr 1 Freund, Roland W. 1 Friese, Tilmann 1 Galliat, T. 1 Gladilin, Evgeny 1 Grötschel, Martin 1 Hege, Hans-Christian 1 Heindl, Gerhard 1 Hermans, Jan 1 Heroth, J. 1 Hiptmair, Ralf 1 Hömberg, Dietmar 1 Hoppe, Ronald H. W. 1 Horst, Ulrich 1 Jahnke, Tobias 1 Jones, Hannah M. 1 Junge, Oliver 1 Kober, Cornelia 1 Kornhuber, Ralf 1 Kramer, Jürg 1 Krause, Rolf H. 1 Kube, Susanna 1 Leimkuhler, Benedict J. 1 Leinen, Peter 1 Louis, Alfred Karl 1 Lutz-Westphal, Brigitte 1 Mark, Alan E. 1 Martin, Steven W. 1 Moualeu, Dany Pascal 1 Pavarino, Luca Franco 1 Pesch, Hans Josef 1 Polthier, Konrad 1 Potra, Florian-Alexandru 1 Reich, Sebastian 1 Reinecke, Isabel 1 Rentrop, Peter 1 Roitzsch, Rainer 1 Sader, Robert 1 Sander, Oliver 1 Sautter, Werner 1 Scherzer, Otmar 1 Schöpf, Rainer 1 Seebass, Martin 1 Skeel, Robert D. 1 Skutella, Martin 1 Sprekels, Jürgen 1 van der Graaf, Piet H. 1 Veerkamp, R. F. 1 Walter, Artur Rudolf 1 Walter, Lionel 1 Weyer, Jürgen 1 Woelders, H. 1 Wohlmuth, Barbara I. 1 Youett, Jonathan 1 Yserentant, Harry 1 Zeilhofer, Hans-Florian 1 Zschiedrich, Lin 1 Zugck, J. all top 5 Serials 9 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 IMPACT of Computing in Science and Engineering 3 Computing 3 Linear Algebra and its Applications 3 Journal of Theoretical Biology 3 De Gruyter Studium 2 SIAM Journal on Scientific Computing 2 Computing and Visualization in Science 2 Springer Series in Computational Mathematics 2 Texts in Applied Mathematics 2 De Gruyter Textbook 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 Surveys on Mathematics for Industry 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Celestial Mechanics 1 Nova Acta Leopoldina. Neue Folge 1 SIAM Review 1 Notices of the American Mathematical Society 1 East-West Journal of Numerical Mathematics 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Communications in Nonlinear Science and Numerical Simulation 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Lecture Notes in Computational Science and Engineering 1 Texts in Computational Science and Engineering 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Numerical Mathematics: Theory, Methods and Applications 1 EMS Series in Industrial and Applied Mathematics all top 5 Fields 87 Numerical analysis (65-XX) 29 Biology and other natural sciences (92-XX) 24 Ordinary differential equations (34-XX) 20 Partial differential equations (35-XX) 11 General and overarching topics; collections (00-XX) 10 Statistics (62-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Operator theory (47-XX) 8 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 1,838 times in 1,415 Documents Cited by ▼ Year ▼ Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051Deuflhard, Peter 144 2004 Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028Deuflhard, P.; Heindl, G. 121 1979 A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Zbl 0313.65070Deuflhard, P. 80 1974 Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043Deuflhard, Peter 80 2011 The cascadic multigrid method for elliptic problems. Zbl 0873.65107Bornemann, Folkmar A.; Deuflhard, Peter 79 1996 Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047Deuflhard, P. 79 1985 A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050Bader, G.; Deuflhard, P. 76 1983 Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111Deuflhard, P.; Leinen, P.; Yserentant, H. 74 1989 Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071Deuflhard, Peter; Bornemann, Folkmar 65 2002 One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083Deuflhard, P.; Hairer, E.; Zugck, J. 56 1987 A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012Deuflhard, P. 51 1979 Order and stepsize control in extrapolation methods. Zbl 0543.65049Deuflhard, P. 49 1983 Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch. 48 2000 A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P. 43 1999 Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019Deuflhard, Peter; Weber, Marcus 40 2005 Adaptivity in space and time for reaction-diffusion systems in electrocardiology. Zbl 1114.65110Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F. 38 2006 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions. Zbl 0915.65053Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar 34 1998 Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078Schmidt, F.; Deuflhard, P. 32 1995 A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053Deuflhard, Peter; Krause, Rolf; Ertel, Susanne 32 2008 Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001Deuflhard, Peter; Hohmann, Andreas 30 2003 Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012Schütte, Ch.; Huisinga, W.; Deuflhard, P. 29 2001 Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo 29 2007 Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058Deuflhard, P.; Fiedler, P.; Kunkel, P. 25 1987 Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 25 1999 Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P. 24 2015 A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032Deuflhard, P. 23 1979 Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090Deuflhard, Peter 23 1994 Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078Deuflhard, P.; Nowak, U. 21 1987 Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056Deuflhard, Peter; Potra, Florian A. 21 1992 Adaptive numerical solution of PDEs. Zbl 1268.65146Deuflhard, Peter; Weiser, Martin 19 2012 Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027Deuflhard, Peter; Freund, Roland; Walter, Artur 17 1990 A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques. Zbl 0335.65033Deuflhard, P.; Pesch, H.-J.; Rentrop, P. 17 1976 Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032Deuflhard, Peter 16 1991 Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051Weiser, Martin; Schiela, Anton; Deuflhard, Peter 15 2005 Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael 14 2008 Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066Deuflhard, P.; Wulkow, M. 14 1989 Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof 13 1999 A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N. 13 2002 A relaxation strategy for the modified Newton method. Zbl 0312.65042Deuflhard, Peter 13 1975 On algorithms for the summation of certain special functions. Zbl 0331.65011Deuflhard, P. 12 1976 Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080Deuflhard, Peter; Bornemann, Folkmar 12 1994 Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135Deuflhard, Peter; Weiser, Martin 10 1998 A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049Deuflhard, P.; Apostolescu, V. 9 1980 A mathematical model of the human menstrual cycle for the administration of GnRH analogues. Zbl 1342.92058Röblitz, Susanna; Stötzel, Claudia; Deuflhard, Peter; Jones, Hannah M.; Azulay, David-Olivier; van der Graaf, Piet H.; Martin, Steven W. 9 2013 Multiple shoothing techniques revisited. Zbl 0527.65059Deuflhard, P.; Bader, G. 8 1983 Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049Deuflhard, P. 8 1984 A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions. Zbl 1307.92096Boer, H. M. T.; Stötzel, C.; Röblitz, S.; Deuflhard, P.; Veerkamp, R. F.; Woelders, H. 8 2011 Inexact central path following algorithms for optimal control problems. Zbl 1151.65328Weiser, Martin; Deuflhard, Peter 8 2007 Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 7 2010 Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051Nowak, U.; Deuflhard, P. 6 1985 Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015Deuflhard, Peter; Hochmuth, Reinhard 6 2004 On rank-deficient pseudoinverses. Zbl 0452.65019Deuflhard, P.; Sautter, W. 6 1980 Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001Deuflhard, Peter; Hohmann, Andreas 6 1991 A perturbation result for dynamical contact problems. Zbl 1201.74153Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton 6 2009 Molecular conformation dynamics and computational drug design. Zbl 1134.92004Deuflhard, Peter; Schütte, Christof 6 2004 A guide to numerical modelling in systems biology. Zbl 1325.92001Deuflhard, Peter; Röblitz, Susanna 5 2015 Dynamic dimension reduction in ODE models. Zbl 0865.65053Deuflhard, P.; Heroth, J. 5 1996 An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066Deuflhard, P.; Apostolescu, V. 5 1978 A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024Deuflhard, Peter; Weiser, Martin; Seebass, Martin 4 2000 Numerical mathematics 3. Adaptive solutions of partial differential equations. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093Deuflhard, Peter; Weiser, Martin 4 2011 Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006Hochmuth, Reinhard; Deuflhard, Peter 4 2004 A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091Deuflhard, P. 4 1977 The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357Deuflhard, Peter 3 2018 Numerical mathematics. 1: An algorithmically oriented introduction. 3., überarb. u. erweit. Aufl. (Numerische Mathematik. 1: Eine algorithmisch orientierte Einführung.) Zbl 1002.65001Deuflhard, Peter; Hohmann, Andreas 3 2002 A complex mathematical model of the human menstrual cycle. Zbl 1455.92021Reinecke, Isabel; Deuflhard, Peter 3 2007 Kepler discretization in regular celestial mechanics. Zbl 0422.70019Deuflhard, P. 3 1980 On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008Weiser, M.; Erdmann, B.; Deuflhard, P. 3 2010 Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank 3 2002 Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303Deuflhard, Peter; Bornemann, Folkmar 3 2008 Numerical mathematics. 1: An algorithmically oriented introduction. 4th revised and extended ed. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) Zbl 1179.65001Deuflhard, Peter; Hohmann, Andreas 3 2008 Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 3 2011 Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103Deuflhard, Peter; Schiela, Anton; Weiser, Martin 2 2012 Numerical mathematics. 2: Ordinary differential equations. 2., vollst. überarb. u. erweit. Aufl. (Numerische Mathematik. 2: Gewöhnliche Differentialgleichungen.) Zbl 1004.65074Deuflhard, Peter; Bornemann, Folkmar 2 2002 Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter 2 2007 Recent advances in multiple shooting techniques. Zbl 0458.65068Deuflhard, P. 2 1980 Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001Deuflhard, Peter; Bornemann, Folkmar 2 2013 From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304Deuflhard, Peter 2 2003 OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002Schöpf, Rainer; Deuflhard, Peter 2 1994 Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077Deuflhard, P.; Lipnikov, K. 2 1998 Adaptive multigrid methods for the vectorial Maxwell eigenvalue problem for optical waveguide design. Zbl 1065.78020Deuflhard, Peter; Schmidt, Frank; Friese, Tilmann; Zschiedrich, Lin 2 2003 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. Zbl 0504.00025 1 1983 Towards parameter identification for large chemical reaction systems. Zbl 0549.65054Nowak, U.; Deuflhard, P. 1 1983 On the thermoregulation in the human microvascular system. Zbl 1354.80005Deuflhard, Peter; Hochmuth, Reinhard 1 2003 Numerical mathematics. 1: An algorithmically oriented introduction. 5th revised and expanded edition. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) Zbl 1404.65001Deuflhard, Peter; Hohmann, Andreas 1 2019 A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023Deuflhard, Peter 1 2003 Towards an efficient numerical simulation of complex 3D knee joint motion. Zbl 1388.74108Sander, Oliver; Klapproth, Corinna; Youett, Jonathan; Kornhuber, Ralf; Deuflhard, Peter 1 2013 Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094Deuflhard, P.; Fiedler, B.; Kunkel, P. 1 1987 Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz. Zbl 0818.65002Deuflhard, Peter; Hohmann, Andreas 1 1995 Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059Deuflhard, Peter 1 1979 Mathematics in facial surgery. Zbl 1137.00009Deuflhard, Peter; Weiser, Martin; Zachow, Stefan 1 2006 Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123Deuflhard, P.; Weiser, M. 1 1997 Computational molecular dynamics: challenges, methods, ideas. Proceedings of the 2nd international symposium on Algorithms for Macromolecular modelling, Berlin, Germany, May 21–24, 1997. Zbl 0904.00046 1 1999 Massively parallel linearly-implicit extrapolation algorithms as a powerful tool in process simulation. Zbl 0923.68064Ehrig, R.; Nowak, U.; Deuflhard, P. 1 1998 Numerical mathematics. 1: An algorithmically oriented introduction. 5th revised and expanded edition. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) Zbl 1404.65001Deuflhard, Peter; Hohmann, Andreas 1 2019 The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357Deuflhard, Peter 3 2018 Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P. 24 2015 A guide to numerical modelling in systems biology. Zbl 1325.92001Deuflhard, Peter; Röblitz, Susanna 5 2015 A mathematical model of the human menstrual cycle for the administration of GnRH analogues. Zbl 1342.92058Röblitz, Susanna; Stötzel, Claudia; Deuflhard, Peter; Jones, Hannah M.; Azulay, David-Olivier; van der Graaf, Piet H.; Martin, Steven W. 9 2013 Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001Deuflhard, Peter; Bornemann, Folkmar 2 2013 Towards an efficient numerical simulation of complex 3D knee joint motion. Zbl 1388.74108Sander, Oliver; Klapproth, Corinna; Youett, Jonathan; Kornhuber, Ralf; Deuflhard, Peter 1 2013 Adaptive numerical solution of PDEs. Zbl 1268.65146Deuflhard, Peter; Weiser, Martin 19 2012 Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103Deuflhard, Peter; Schiela, Anton; Weiser, Martin 2 2012 Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043Deuflhard, Peter 80 2011 A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions. Zbl 1307.92096Boer, H. M. T.; Stötzel, C.; Röblitz, S.; Deuflhard, P.; Veerkamp, R. F.; Woelders, H. 8 2011 Numerical mathematics 3. Adaptive solutions of partial differential equations. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093Deuflhard, Peter; Weiser, Martin 4 2011 Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 3 2011 Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter 7 2010 On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008Weiser, M.; Erdmann, B.; Deuflhard, P. 3 2010 A perturbation result for dynamical contact problems. Zbl 1201.74153Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton 6 2009 A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053Deuflhard, Peter; Krause, Rolf; Ertel, Susanne 32 2008 Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael 14 2008 Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303Deuflhard, Peter; Bornemann, Folkmar 3 2008 Numerical mathematics. 1: An algorithmically oriented introduction. 4th revised and extended ed. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) Zbl 1179.65001Deuflhard, Peter; Hohmann, Andreas 3 2008 Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo 29 2007 Inexact central path following algorithms for optimal control problems. Zbl 1151.65328Weiser, Martin; Deuflhard, Peter 8 2007 A complex mathematical model of the human menstrual cycle. Zbl 1455.92021Reinecke, Isabel; Deuflhard, Peter 3 2007 Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter 2 2007 Adaptivity in space and time for reaction-diffusion systems in electrocardiology. Zbl 1114.65110Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F. 38 2006 Mathematics in facial surgery. Zbl 1137.00009Deuflhard, Peter; Weiser, Martin; Zachow, Stefan 1 2006 Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019Deuflhard, Peter; Weber, Marcus 40 2005 Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051Weiser, Martin; Schiela, Anton; Deuflhard, Peter 15 2005 Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051Deuflhard, Peter 144 2004 Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015Deuflhard, Peter; Hochmuth, Reinhard 6 2004 Molecular conformation dynamics and computational drug design. Zbl 1134.92004Deuflhard, Peter; Schütte, Christof 6 2004 Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006Hochmuth, Reinhard; Deuflhard, Peter 4 2004 Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001Deuflhard, Peter; Hohmann, Andreas 30 2003 From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304Deuflhard, Peter 2 2003 Adaptive multigrid methods for the vectorial Maxwell eigenvalue problem for optical waveguide design. Zbl 1065.78020Deuflhard, Peter; Schmidt, Frank; Friese, Tilmann; Zschiedrich, Lin 2 2003 On the thermoregulation in the human microvascular system. Zbl 1354.80005Deuflhard, Peter; Hochmuth, Reinhard 1 2003 A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023Deuflhard, Peter 1 2003 Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071Deuflhard, Peter; Bornemann, Folkmar 65 2002 A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N. 13 2002 Numerical mathematics. 1: An algorithmically oriented introduction. 3., überarb. u. erweit. Aufl. (Numerische Mathematik. 1: Eine algorithmisch orientierte Einführung.) Zbl 1002.65001Deuflhard, Peter; Hohmann, Andreas 3 2002 Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank 3 2002 Numerical mathematics. 2: Ordinary differential equations. 2., vollst. überarb. u. erweit. Aufl. (Numerische Mathematik. 2: Gewöhnliche Differentialgleichungen.) Zbl 1004.65074Deuflhard, Peter; Bornemann, Folkmar 2 2002 Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012Schütte, Ch.; Huisinga, W.; Deuflhard, P. 29 2001 Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch. 48 2000 A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024Deuflhard, Peter; Weiser, Martin; Seebass, Martin 4 2000 A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P. 43 1999 Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 25 1999 Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof 13 1999 Computational molecular dynamics: challenges, methods, ideas. Proceedings of the 2nd international symposium on Algorithms for Macromolecular modelling, Berlin, Germany, May 21–24, 1997. Zbl 0904.00046 1 1999 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions. Zbl 0915.65053Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar 34 1998 Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135Deuflhard, Peter; Weiser, Martin 10 1998 Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077Deuflhard, P.; Lipnikov, K. 2 1998 Massively parallel linearly-implicit extrapolation algorithms as a powerful tool in process simulation. Zbl 0923.68064Ehrig, R.; Nowak, U.; Deuflhard, P. 1 1998 Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123Deuflhard, P.; Weiser, M. 1 1997 The cascadic multigrid method for elliptic problems. Zbl 0873.65107Bornemann, Folkmar A.; Deuflhard, Peter 79 1996 Dynamic dimension reduction in ODE models. Zbl 0865.65053Deuflhard, P.; Heroth, J. 5 1996 Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078Schmidt, F.; Deuflhard, P. 32 1995 Numerical analysis. A 1st course in scientific computation. Transl. from the German by F. A. Potra and F. Schulz. Zbl 0818.65002Deuflhard, Peter; Hohmann, Andreas 1 1995 Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090Deuflhard, Peter 23 1994 Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080Deuflhard, Peter; Bornemann, Folkmar 12 1994 OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002Schöpf, Rainer; Deuflhard, Peter 2 1994 Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056Deuflhard, Peter; Potra, Florian A. 21 1992 Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032Deuflhard, Peter 16 1991 Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001Deuflhard, Peter; Hohmann, Andreas 6 1991 Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027Deuflhard, Peter; Freund, Roland; Walter, Artur 17 1990 Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111Deuflhard, P.; Leinen, P.; Yserentant, H. 74 1989 Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066Deuflhard, P.; Wulkow, M. 14 1989 One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083Deuflhard, P.; Hairer, E.; Zugck, J. 56 1987 Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058Deuflhard, P.; Fiedler, P.; Kunkel, P. 25 1987 Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078Deuflhard, P.; Nowak, U. 21 1987 Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094Deuflhard, P.; Fiedler, B.; Kunkel, P. 1 1987 Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047Deuflhard, P. 79 1985 Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051Nowak, U.; Deuflhard, P. 6 1985 Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049Deuflhard, P. 8 1984 A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050Bader, G.; Deuflhard, P. 76 1983 Order and stepsize control in extrapolation methods. Zbl 0543.65049Deuflhard, P. 49 1983 Multiple shoothing techniques revisited. Zbl 0527.65059Deuflhard, P.; Bader, G. 8 1983 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. Zbl 0504.00025 1 1983 Towards parameter identification for large chemical reaction systems. Zbl 0549.65054Nowak, U.; Deuflhard, P. 1 1983 A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049Deuflhard, P.; Apostolescu, V. 9 1980 On rank-deficient pseudoinverses. Zbl 0452.65019Deuflhard, P.; Sautter, W. 6 1980 Kepler discretization in regular celestial mechanics. Zbl 0422.70019Deuflhard, P. 3 1980 Recent advances in multiple shooting techniques. Zbl 0458.65068Deuflhard, P. 2 1980 Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028Deuflhard, P.; Heindl, G. 121 1979 A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012Deuflhard, P. 51 1979 A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032Deuflhard, P. 23 1979 Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059Deuflhard, Peter 1 1979 An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066Deuflhard, P.; Apostolescu, V. 5 1978 A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091Deuflhard, P. 4 1977 A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques. Zbl 0335.65033Deuflhard, P.; Pesch, H.-J.; Rentrop, P. 17 1976 On algorithms for the summation of certain special functions. Zbl 0331.65011Deuflhard, P. 12 1976 A relaxation strategy for the modified Newton method. Zbl 0312.65042Deuflhard, Peter 13 1975 A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Zbl 0313.65070Deuflhard, P. 80 1974 all cited Publications top 5 cited Publications all top 5 Cited by 2,071 Authors 55 Argyros, Ioannis Konstantinos 25 Hilout, Saïd 24 Deuflhard, Peter 22 Schütte, Christof 15 Froyland, Gary 15 Schiela, Anton 15 Weiser, Martin 14 Shampine, Lawrence Fred 14 Smooke, Mitchell D. 14 Weber, Marcus 13 Hoppe, Ronald H. W. 13 Wohlmuth, Barbara I. 11 Lang, Jens 11 Martínez, José Mario 11 Yamamoto, Tetsuro 10 Bennett, Beth Anne V. 10 Dellnitz, Michael 10 Kornhuber, Ralf 10 Pan, Kejia 9 Fackeldey, Konstantin 9 George, Santhosh 9 Hairer, Ernst 9 Lubich, Christian 8 Hu, Hongling 8 Huang, Qiumei 8 Junge, Oliver 8 Koltai, Péter 8 Kunisch, Karl 8 Tchelepi, Hamdi A. 8 Toint, Philippe L. 8 Ypma, Tjalling J. 7 Cai, Gang 7 Maas, Ulrich 7 Mehrmann, Volker 7 Rentrop, Peter 7 Wu, Xinyuan 6 Cartis, Coralia 6 Chan, Robert Peng Kong 6 Chen, Chuanmiao 6 Huisinga, Wilhelm 6 Ikhile, Monday Ndidi Oziegbe 6 Kamal, M. Anwar 6 Kloeden, Peter Eris 6 Klus, Stefan 6 Luo, Xinlong 6 Pesch, Hans Josef 6 Rheinboldt, Werner C. 6 Röblitz, Susanna 5 Bao, Weizhu 5 Bittracher, Andreas 5 Cătinaş, Emil 5 Cho, Yeol Je 5 Götschel, Sebastian 5 Gould, Nicholas Ian Mark 5 Grossmann, Christian 5 Hamon, François P. 5 Kiehl, Martin 5 Kirkland, Stephen J. 5 Krause, Rolf H. 5 Kunkel, Peter 5 Liu, Wen-Jie 5 Noé, Frank 5 Praetorius, Dirk 5 Renard, Yves 5 Selgrade, James F. 5 Senosiain, M. J. 5 Simeon, Bernd 5 Stephan, Ernst Peter 5 Strehmel, Karl 5 Su, Chunmei 5 Sun, Jiebao 5 Syed, Khalid Saifullah 5 Tocino, Alicia 5 Weiner, Rüdiger 5 Wu, Boying 5 Zhao, Xiaofei 5 Ziessler, Adrian 5 Zou, Qingsong 4 Arnold, Martin 4 Bacuta, Constantin 4 Banisch, Ralf 4 Chamakuri, Nagaiah 4 Gaspar, Francisco José 4 González-Tokman, Cecilia 4 He, Dongdong 4 Huang, Yunqing 4 Jahnke, Tobias 4 Jin, Qinian 4 Klapproth, Corinna 4 Li, Chenliang 4 Maischak, Matthias 4 Majda, Andrew J. 4 Münch, Arnaud 4 Nowak, Ulrich 4 Padberg-Gehle, Kathrin 4 Potra, Florian-Alexandru 4 Potschka, Andreas 4 Rumpf, Martin 4 Scacchi, Simone 4 Seydel, Rüdiger U. ...and 1,971 more Authors all top 5 Cited in 268 Serials 91 Journal of Computational and Applied Mathematics 74 Numerische Mathematik 61 Applied Numerical Mathematics 58 Journal of Computational Physics 46 Applied Mathematics and Computation 44 Computers & Mathematics with Applications 42 Computer Methods in Applied Mechanics and Engineering 40 Numerical Algorithms 34 Computing 25 Mathematics of Computation 24 BIT 23 Numerical Functional Analysis and Optimization 22 Journal of Optimization Theory and Applications 20 Journal of Scientific Computing 20 Computational Optimization and Applications 19 SIAM Journal on Scientific Computing 19 Combustion Theory and Modelling 16 SIAM Journal on Numerical Analysis 16 International Journal of Computer Mathematics 15 SIAM Journal on Optimization 14 Linear Algebra and its Applications 14 Journal of Applied Mathematics and Computing 13 Optimization Methods & Software 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Physica D 12 Applied Mathematics Letters 12 Multiscale Modeling & Simulation 11 Journal of Mathematical Analysis and Applications 11 Mathematical Programming. 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Zeitschrift für Angewandte Mathematik und Mechanik 6 Journal of Computational Dynamics 5 Computers and Fluids 5 Computer Physics Communications 5 Journal of Statistical Physics 5 Optimization 5 Japan Journal of Applied Mathematics 5 Applications of Mathematics 5 Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Science in China. Series A 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Proceedings of the National Academy of Sciences of the United States of America 4 Communications in Numerical Methods in Engineering 4 International Journal of Computer Vision 4 Engineering Analysis with Boundary Elements 4 Multibody System Dynamics 4 Computational Geosciences 4 Nonlinear Analysis. Real World Applications 4 GAMM-Mitteilungen 4 Statistics and Computing 4 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal for Numerical Methods in Fluids 3 Journal of Engineering Mathematics 3 Journal of Fluid Mechanics 3 Mathematical Methods in the Applied Sciences 3 Calcolo 3 Journal of Integral Equations and Applications 3 SIAM Review 3 Journal of Dynamics and Differential Equations 3 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Sciences (New York) 3 ETNA. Electronic Transactions on Numerical Analysis 3 Journal of Difference Equations and Applications 3 Mathematical Problems in Engineering 3 Computing and Visualization in Science 3 Journal of Inequalities and Applications 3 Optimization and Engineering 3 Foundations of Computational Mathematics 3 Computational Methods in Applied Mathematics 3 Journal of Numerical Mathematics 3 Fixed Point Theory and Applications 3 Advances in Difference Equations 3 Inverse Problems in Science and Engineering 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Applied Mathematics and Mechanics 3 Mathematical Programming Computation 3 Science China. Mathematics 3 S\(\vec{\text{e}}\)MA Journal ...and 168 more Serials all top 5 Cited in 46 Fields 981 Numerical analysis (65-XX) 281 Partial differential equations (35-XX) 217 Ordinary differential equations (34-XX) 150 Calculus of variations and optimal control; optimization (49-XX) 148 Operator theory (47-XX) 147 Biology and other natural sciences (92-XX) 114 Fluid mechanics (76-XX) 105 Operations research, mathematical programming (90-XX) 96 Dynamical systems and ergodic theory (37-XX) 90 Mechanics of deformable solids (74-XX) 88 Probability theory and stochastic processes (60-XX) 57 Classical thermodynamics, heat transfer (80-XX) 50 Optics, electromagnetic theory (78-XX) 42 Computer science (68-XX) 39 Statistical mechanics, structure of matter (82-XX) 30 Statistics (62-XX) 30 Mechanics of particles and systems (70-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 27 Systems theory; control (93-XX) 24 Integral equations (45-XX) 21 Quantum theory (81-XX) 19 Approximations and expansions (41-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Information and communication theory, circuits (94-XX) 12 Geophysics (86-XX) 10 Special functions (33-XX) 9 Difference and functional equations (39-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 General topology (54-XX) 5 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Field theory and polynomials (12-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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