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Author ID: deuflhard.peter Recent zbMATH articles by "Deuflhard, Peter"
Published as: Deuflhard, Peter; Deuflhard, P.; Deuffhard, Peter; Deuffhard, P.
Homepage: https://www.zib.de/deuflhard/
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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

Publications by Year

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 1056.65051
Deuflhard, Peter
144
2004
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, 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 0313.65070
Deuflhard, P.
80
1974
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter
80
2011
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter
79
1996
Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047
Deuflhard, P.
79
1985
A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050
Bader, G.; Deuflhard, P.
76
1983
Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111
Deuflhard, P.; Leinen, P.; Yserentant, H.
74
1989
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar
65
2002
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083
Deuflhard, P.; Hairer, E.; Zugck, J.
56
1987
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012
Deuflhard, P.
51
1979
Order and stepsize control in extrapolation methods. Zbl 0543.65049
Deuflhard, P.
49
1983
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008
Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch.
48
2000
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145
Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P.
43
1999
Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019
Deuflhard, Peter; Weber, Marcus
40
2005
Adaptivity in space and time for reaction-diffusion systems in electrocardiology. Zbl 1114.65110
Franzone, 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 0915.65053
Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar
34
1998
Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078
Schmidt, F.; Deuflhard, P.
32
1995
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053
Deuflhard, Peter; Krause, Rolf; Ertel, Susanne
32
2008
Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001
Deuflhard, Peter; Hohmann, Andreas
30
2003
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012
Schütte, Ch.; Huisinga, W.; Deuflhard, P.
29
2001
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo
29
2007
Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058
Deuflhard, P.; Fiedler, P.; Kunkel, P.
25
1987
Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136
Beck, 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 1333.92061
Moualeu, 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 0428.65032
Deuflhard, P.
23
1979
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090
Deuflhard, Peter
23
1994
Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078
Deuflhard, P.; Nowak, U.
21
1987
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A.
21
1992
Adaptive numerical solution of PDEs. Zbl 1268.65146
Deuflhard, Peter; Weiser, Martin
19
2012
Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027
Deuflhard, 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 0335.65033
Deuflhard, P.; Pesch, H.-J.; Rentrop, P.
17
1976
Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032
Deuflhard, Peter
16
1991
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051
Weiser, Martin; Schiela, Anton; Deuflhard, Peter
15
2005
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003
Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael
14
2008
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066
Deuflhard, P.; Wulkow, M.
14
1989
Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067
Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof
13
1999
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.
13
2002
A relaxation strategy for the modified Newton method. Zbl 0312.65042
Deuflhard, Peter
13
1975
On algorithms for the summation of certain special functions. Zbl 0331.65011
Deuflhard, P.
12
1976
Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar
12
1994
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135
Deuflhard, Peter; Weiser, Martin
10
1998
A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049
Deuflhard, P.; Apostolescu, V.
9
1980
A mathematical model of the human menstrual cycle for the administration of GnRH analogues. Zbl 1342.92058
Röblitz, 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 0527.65059
Deuflhard, P.; Bader, G.
8
1983
Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049
Deuflhard, P.
8
1984
A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions. Zbl 1307.92096
Boer, 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 1151.65328
Weiser, Martin; Deuflhard, Peter
8
2007
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
7
2010
Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051
Nowak, U.; Deuflhard, P.
6
1985
Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015
Deuflhard, Peter; Hochmuth, Reinhard
6
2004
On rank-deficient pseudoinverses. Zbl 0452.65019
Deuflhard, P.; Sautter, W.
6
1980
Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001
Deuflhard, Peter; Hohmann, Andreas
6
1991
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton
6
2009
Molecular conformation dynamics and computational drug design. Zbl 1134.92004
Deuflhard, Peter; Schütte, Christof
6
2004
A guide to numerical modelling in systems biology. Zbl 1325.92001
Deuflhard, Peter; Röblitz, Susanna
5
2015
Dynamic dimension reduction in ODE models. Zbl 0865.65053
Deuflhard, P.; Heroth, J.
5
1996
An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066
Deuflhard, P.; Apostolescu, V.
5
1978
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024
Deuflhard, Peter; Weiser, Martin; Seebass, Martin
4
2000
Numerical mathematics 3. Adaptive solutions of partial differential equations. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093
Deuflhard, Peter; Weiser, Martin
4
2011
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006
Hochmuth, Reinhard; Deuflhard, Peter
4
2004
A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091
Deuflhard, P.
4
1977
The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357
Deuflhard, Peter
3
2018
Numerical mathematics. 1: An algorithmically oriented introduction. 3., überarb. u. erweit. Aufl. (Numerische Mathematik. 1: Eine algorithmisch orientierte Einführung.) Zbl 1002.65001
Deuflhard, Peter; Hohmann, Andreas
3
2002
A complex mathematical model of the human menstrual cycle. Zbl 1455.92021
Reinecke, Isabel; Deuflhard, Peter
3
2007
Kepler discretization in regular celestial mechanics. Zbl 0422.70019
Deuflhard, P.
3
1980
On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008
Weiser, M.; Erdmann, B.; Deuflhard, P.
3
2010
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324
Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank
3
2002
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303
Deuflhard, 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 1179.65001
Deuflhard, Peter; Hohmann, Andreas
3
2008
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
3
2011
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, 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 1004.65074
Deuflhard, Peter; Bornemann, Folkmar
2
2002
Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100
Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter
2
2007
Recent advances in multiple shooting techniques. Zbl 0458.65068
Deuflhard, P.
2
1980
Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar
2
2013
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304
Deuflhard, Peter
2
2003
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002
Schöpf, Rainer; Deuflhard, Peter
2
1994
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K.
2
1998
Adaptive multigrid methods for the vectorial Maxwell eigenvalue problem for optical waveguide design. Zbl 1065.78020
Deuflhard, 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 0549.65054
Nowak, U.; Deuflhard, P.
1
1983
On the thermoregulation in the human microvascular system. Zbl 1354.80005
Deuflhard, 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 1404.65001
Deuflhard, Peter; Hohmann, Andreas
1
2019
A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023
Deuflhard, Peter
1
2003
Towards an efficient numerical simulation of complex 3D knee joint motion. Zbl 1388.74108
Sander, Oliver; Klapproth, Corinna; Youett, Jonathan; Kornhuber, Ralf; Deuflhard, Peter
1
2013
Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, 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 0818.65002
Deuflhard, Peter; Hohmann, Andreas
1
1995
Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059
Deuflhard, Peter
1
1979
Mathematics in facial surgery. Zbl 1137.00009
Deuflhard, Peter; Weiser, Martin; Zachow, Stefan
1
2006
Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123
Deuflhard, 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 0923.68064
Ehrig, 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 1404.65001
Deuflhard, Peter; Hohmann, Andreas
1
2019
The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357
Deuflhard, Peter
3
2018
Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061
Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P.
24
2015
A guide to numerical modelling in systems biology. Zbl 1325.92001
Deuflhard, Peter; Röblitz, Susanna
5
2015
A mathematical model of the human menstrual cycle for the administration of GnRH analogues. Zbl 1342.92058
Röblitz, 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 1273.65001
Deuflhard, Peter; Bornemann, Folkmar
2
2013
Towards an efficient numerical simulation of complex 3D knee joint motion. Zbl 1388.74108
Sander, Oliver; Klapproth, Corinna; Youett, Jonathan; Kornhuber, Ralf; Deuflhard, Peter
1
2013
Adaptive numerical solution of PDEs. Zbl 1268.65146
Deuflhard, Peter; Weiser, Martin
19
2012
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, 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 1226.65043
Deuflhard, Peter
80
2011
A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions. Zbl 1307.92096
Boer, 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 1230.65093
Deuflhard, Peter; Weiser, Martin
4
2011
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
3
2011
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
7
2010
On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008
Weiser, M.; Erdmann, B.; Deuflhard, P.
3
2010
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton
6
2009
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053
Deuflhard, Peter; Krause, Rolf; Ertel, Susanne
32
2008
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003
Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael
14
2008
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303
Deuflhard, 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 1179.65001
Deuflhard, Peter; Hohmann, Andreas
3
2008
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo
29
2007
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328
Weiser, Martin; Deuflhard, Peter
8
2007
A complex mathematical model of the human menstrual cycle. Zbl 1455.92021
Reinecke, Isabel; Deuflhard, Peter
3
2007
Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100
Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter
2
2007
Adaptivity in space and time for reaction-diffusion systems in electrocardiology. Zbl 1114.65110
Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F.
38
2006
Mathematics in facial surgery. Zbl 1137.00009
Deuflhard, Peter; Weiser, Martin; Zachow, Stefan
1
2006
Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019
Deuflhard, Peter; Weber, Marcus
40
2005
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051
Weiser, Martin; Schiela, Anton; Deuflhard, Peter
15
2005
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051
Deuflhard, Peter
144
2004
Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015
Deuflhard, Peter; Hochmuth, Reinhard
6
2004
Molecular conformation dynamics and computational drug design. Zbl 1134.92004
Deuflhard, Peter; Schütte, Christof
6
2004
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006
Hochmuth, Reinhard; Deuflhard, Peter
4
2004
Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001
Deuflhard, Peter; Hohmann, Andreas
30
2003
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304
Deuflhard, Peter
2
2003
Adaptive multigrid methods for the vectorial Maxwell eigenvalue problem for optical waveguide design. Zbl 1065.78020
Deuflhard, Peter; Schmidt, Frank; Friese, Tilmann; Zschiedrich, Lin
2
2003
On the thermoregulation in the human microvascular system. Zbl 1354.80005
Deuflhard, Peter; Hochmuth, Reinhard
1
2003
A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023
Deuflhard, Peter
1
2003
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar
65
2002
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, 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 1002.65001
Deuflhard, Peter; Hohmann, Andreas
3
2002
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324
Fischer, 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 1004.65074
Deuflhard, Peter; Bornemann, Folkmar
2
2002
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012
Schütte, Ch.; Huisinga, W.; Deuflhard, P.
29
2001
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008
Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch.
48
2000
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024
Deuflhard, Peter; Weiser, Martin; Seebass, Martin
4
2000
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145
Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P.
43
1999
Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136
Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
25
1999
Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067
Deuflhard, 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 0915.65053
Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar
34
1998
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135
Deuflhard, Peter; Weiser, Martin
10
1998
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K.
2
1998
Massively parallel linearly-implicit extrapolation algorithms as a powerful tool in process simulation. Zbl 0923.68064
Ehrig, R.; Nowak, U.; Deuflhard, P.
1
1998
Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123
Deuflhard, P.; Weiser, M.
1
1997
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter
79
1996
Dynamic dimension reduction in ODE models. Zbl 0865.65053
Deuflhard, P.; Heroth, J.
5
1996
Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078
Schmidt, 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 0818.65002
Deuflhard, Peter; Hohmann, Andreas
1
1995
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090
Deuflhard, Peter
23
1994
Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar
12
1994
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002
Schöpf, Rainer; Deuflhard, Peter
2
1994
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A.
21
1992
Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032
Deuflhard, Peter
16
1991
Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001
Deuflhard, Peter; Hohmann, Andreas
6
1991
Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027
Deuflhard, Peter; Freund, Roland; Walter, Artur
17
1990
Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111
Deuflhard, P.; Leinen, P.; Yserentant, H.
74
1989
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066
Deuflhard, P.; Wulkow, M.
14
1989
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083
Deuflhard, P.; Hairer, E.; Zugck, J.
56
1987
Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058
Deuflhard, P.; Fiedler, P.; Kunkel, P.
25
1987
Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078
Deuflhard, P.; Nowak, U.
21
1987
Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, P.; Fiedler, B.; Kunkel, P.
1
1987
Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047
Deuflhard, P.
79
1985
Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051
Nowak, U.; Deuflhard, P.
6
1985
Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049
Deuflhard, P.
8
1984
A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050
Bader, G.; Deuflhard, P.
76
1983
Order and stepsize control in extrapolation methods. Zbl 0543.65049
Deuflhard, P.
49
1983
Multiple shoothing techniques revisited. Zbl 0527.65059
Deuflhard, 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 0549.65054
Nowak, U.; Deuflhard, P.
1
1983
A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049
Deuflhard, P.; Apostolescu, V.
9
1980
On rank-deficient pseudoinverses. Zbl 0452.65019
Deuflhard, P.; Sautter, W.
6
1980
Kepler discretization in regular celestial mechanics. Zbl 0422.70019
Deuflhard, P.
3
1980
Recent advances in multiple shooting techniques. Zbl 0458.65068
Deuflhard, P.
2
1980
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, P.; Heindl, G.
121
1979
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012
Deuflhard, P.
51
1979
A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032
Deuflhard, P.
23
1979
Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059
Deuflhard, Peter
1
1979
An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066
Deuflhard, P.; Apostolescu, V.
5
1978
A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091
Deuflhard, P.
4
1977
A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques. Zbl 0335.65033
Deuflhard, P.; Pesch, H.-J.; Rentrop, P.
17
1976
On algorithms for the summation of certain special functions. Zbl 0331.65011
Deuflhard, P.
12
1976
A relaxation strategy for the modified Newton method. Zbl 0312.65042
Deuflhard, Peter
13
1975
A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Zbl 0313.65070
Deuflhard, P.
80
1974
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. Series A. Series B
10 Mathematical Biosciences
10 Mathematics and Computers in Simulation
10 Journal of Inverse and Ill-Posed Problems
10 Journal of Theoretical Biology
9 Bulletin of Mathematical Biology
9 International Journal for Numerical Methods in Engineering
9 Journal of Complexity
8 Journal of Mathematical Biology
8 Computational Mechanics
8 Numerical Methods for Partial Differential Equations
8 Applied Mathematical Modelling
8 Journal of Mathematical Chemistry
8 Chaos
8 Communications in Nonlinear Science and Numerical Simulation
8 SIAM Journal on Applied Dynamical Systems
7 Journal of Nonlinear Science
7 Numerical Linear Algebra with Applications
7 Advances in Computational Mathematics
7 Journal of Nonlinear Science and Applications
6 Inverse Problems
6 Celestial Mechanics and Dynamical Astronomy
6 ZAMM. 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
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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

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