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Deuflhard, Peter

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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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Documents Indexed: 110 Publications since 1974, including 22 Books
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

91 Publications have been cited 1,652 times in 1,278 Documents Cited by Year
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051
Deuflhard, Peter
134
2004
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, P.; Heindl, G.
116
1979
Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111
Deuflhard, P.; Leinen, P.; Yserentant, H.
71
1989
A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Zbl 0313.65070
Deuflhard, P.
71
1974
Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047
Deuflhard, P.
70
1985
A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050
Bader, G.; Deuflhard, P.
64
1983
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter
63
1996
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar
61
2002
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter
58
2011
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083
Deuflhard, P.; Hairer, E.; Zugck, J.
55
1987
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.
44
2000
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012
Deuflhard, P.
44
1979
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.
37
2006
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145
Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P.
36
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
Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019
Deuflhard, Peter; Weber, Marcus
33
2005
Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078
Schmidt, F.; Deuflhard, P.
31
1995
Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001
Deuflhard, Peter; Hohmann, Andreas
28
2003
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053
Deuflhard, Peter; Krause, Rolf; Ertel, Susanne
27
2008
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
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo
25
2007
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012
Schütte, Ch.; Huisinga, W.; Deuflhard, P.
25
2001
A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032
Deuflhard, P.
22
1979
Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058
Deuflhard, P.; Fiedler, P.; Kunkel, P.
22
1987
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A.
21
1992
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090
Deuflhard, Peter
21
1994
Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027
Deuflhard, Peter; Freund, Roland; Walter, Artur
17
1990
Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078
Deuflhard, P.; Nowak, U.
17
1987
Adaptive numerical solution of PDEs. Zbl 1268.65146
Deuflhard, Peter; Weiser, Martin
16
2012
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051
Weiser, Martin; Schiela, Anton; Deuflhard, Peter
15
2005
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.
15
1976
Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061
Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P.
15
2015
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003
Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael
13
2008
Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032
Deuflhard, Peter
13
1991
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066
Deuflhard, P.; Wulkow, M.
13
1989
A relaxation strategy for the modified Newton method. Zbl 0312.65042
Deuflhard, Peter
13
1975
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.
13
2002
Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067
Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof
12
1999
Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar
11
1994
On algorithms for the summation of certain special functions. Zbl 0331.65011
Deuflhard, P.
10
1976
A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049
Deuflhard, P.; Apostolescu, V.
9
1980
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135
Deuflhard, Peter; Weiser, Martin
9
1998
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
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328
Weiser, Martin; Deuflhard, Peter
7
2007
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.
7
2013
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
Molecular conformation dynamics and computational drug design. Zbl 1134.92004
Deuflhard, Peter; Schütte, Christof
6
2004
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
6
2010
Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001
Deuflhard, Peter; Hohmann, Andreas
6
1991
Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051
Nowak, U.; Deuflhard, P.
6
1985
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.
6
2011
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton
5
2009
An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066
Deuflhard, P.; Apostolescu, V.
5
1978
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006
Hochmuth, Reinhard; Deuflhard, Peter
4
2004
Dynamic dimension reduction in ODE models. Zbl 0865.65053
Deuflhard, P.; Heroth, J.
4
1996
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024
Deuflhard, Peter; Weiser, Martin; Seebass, Martin
4
2000
A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091
Deuflhard, P.
4
1977
A guide to numerical modelling in systems biology. Zbl 1325.92001
Deuflhard, Peter; Röblitz, Susanna
4
2015
The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357
Deuflhard, Peter
3
2018
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303
Deuflhard, Peter; Bornemann, Folkmar
3
2008
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324
Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank
3
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
Kepler discretization in regular celestial mechanics. Zbl 0422.70019
Deuflhard, P.
3
1980
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
3
2011
Numerical mathematics 3. Adaptive solutions of partial differential equations. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093
Deuflhard, Peter; Weiser, Martin
3
2011
On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008
Weiser, M.; Erdmann, B.; Deuflhard, P.
3
2010
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304
Deuflhard, Peter
2
2003
Recent advances in multiple shooting techniques. Zbl 0458.65068
Deuflhard, P.
2
1980
Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100
Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter
2
2007
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K.
2
1998
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002
Schöpf, Rainer; Deuflhard, Peter
2
1994
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
Adaptive multigrid methods for the vectorial Maxwell eigenvalue problem for optical waveguide design. Zbl 1065.78020
Deuflhard, Peter; Schmidt, Frank; Friese, Tilmann; Zschiedrich, Lin
1
2003
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
Deuflhard, Peter (ed.); Hermans, Jan (ed.); Leimkuhler, Benedict (ed.); Mark, Alan E. (ed.); Reich, Sebastian (ed.); Skeel, Robert D. (ed.)
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 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
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
1
2008
Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, P.; Fiedler, B.; Kunkel, P.
1
1987
Towards parameter identification for large chemical reaction systems. Zbl 0549.65054
Nowak, U.; Deuflhard, P.
1
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
Deuflhard, P. (ed.); Hairer, E. (ed.)
1
1983
On the thermoregulation in the human microvascular system. Zbl 1354.80005
Deuflhard, Peter; Hochmuth, Reinhard
1
2003
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, Peter; Schiela, Anton; Weiser, Martin
1
2012
A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023
Deuflhard, Peter
1
2003
Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar
1
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
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.
15
2015
A guide to numerical modelling in systems biology. Zbl 1325.92001
Deuflhard, Peter; Röblitz, Susanna
4
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.
7
2013
Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar
1
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
16
2012
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, Peter; Schiela, Anton; Weiser, Martin
1
2012
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter
58
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.
6
2011
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
3
2011
Numerical mathematics 3. Adaptive solutions of partial differential equations. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093
Deuflhard, Peter; Weiser, Martin
3
2011
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
6
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
5
2009
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053
Deuflhard, Peter; Krause, Rolf; Ertel, Susanne
27
2008
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003
Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael
13
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
1
2008
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo
25
2007
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328
Weiser, Martin; Deuflhard, Peter
7
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.
37
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
33
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
134
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
28
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
1
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
61
2002
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.
13
2002
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324
Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank
3
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
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.
25
2001
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008
Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch.
44
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.
36
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
12
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
Deuflhard, Peter; Hermans, Jan; Leimkuhler, Benedict; Mark, Alan E.; Reich, Sebastian; Skeel, Robert D.
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
9
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
63
1996
Dynamic dimension reduction in ODE models. Zbl 0865.65053
Deuflhard, P.; Heroth, J.
4
1996
Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078
Schmidt, F.; Deuflhard, P.
31
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
21
1994
Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar
11
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
13
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.
71
1989
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066
Deuflhard, P.; Wulkow, M.
13
1989
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083
Deuflhard, P.; Hairer, E.; Zugck, J.
55
1987
Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058
Deuflhard, P.; Fiedler, P.; Kunkel, P.
22
1987
Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078
Deuflhard, P.; Nowak, U.
17
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.
70
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.
64
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
Towards parameter identification for large chemical reaction systems. Zbl 0549.65054
Nowak, U.; Deuflhard, P.
1
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
Deuflhard, P.; Hairer, E.
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.
116
1979
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012
Deuflhard, P.
44
1979
A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032
Deuflhard, P.
22
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.
15
1976
On algorithms for the summation of certain special functions. Zbl 0331.65011
Deuflhard, P.
10
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.
71
1974
all top 5

Cited by 1,847 Authors

54 Argyros, Ioannis Konstantinos
25 Hilout, Saïd
24 Deuflhard, Peter
18 Schütte, Christof
15 Weiser, Martin
14 Froyland, Gary
14 Shampine, Lawrence Fred
14 Weber, Marcus
13 Wohlmuth, Barbara I.
12 Smooke, Mitchell D.
11 Hoppe, Ronald H. W.
11 Lang, Jens
11 Martínez, José Mario
11 Yamamoto, Tetsuro
10 Dellnitz, Michael
10 Kornhuber, Ralf
10 Schiela, Anton
9 George, Santhosh
9 Hairer, Ernst
9 Lubich, Christian
8 Bennett, Beth Anne V.
8 Fackeldey, Konstantin
8 Junge, Oliver
8 Koltai, Péter
8 Kunisch, Karl
8 Toint, Philippe L.
8 Ypma, Tjalling J.
7 Cai, Gang
7 Mehrmann, Volker
7 Rentrop, Peter
7 Tchelepi, Hamdi A.
6 Cartis, Coralia
6 Chan, Robert Peng Kong
6 Hu, Hongling
6 Huisinga, Wilhelm
6 Kamal, M. Anwar
6 Kloeden, Peter Eris
6 Pesch, Hans Josef
6 Rheinboldt, Werner C.
6 Wu, Xinyuan
5 Bao, Weizhu
5 Cătinaş, Emil
5 Cho, Yeol Je
5 Götschel, Sebastian
5 Gould, Nicholas Ian Mark
5 Grossmann, Christian
5 Huang, Qiumei
5 Klus, Stefan
5 Kunkel, Peter
5 Liu, Wen-Jie
5 Maas, Ulrich
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 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 Bittracher, Andreas
4 Chen, Chuanmiao
4 Gaspar, Francisco José
4 González-Tokman, Cecilia
4 Hamon, François P.
4 Huang, Yunqing
4 Jahnke, Tobias
4 Jin, Qinian
4 Kiehl, Martin
4 Klapproth, Corinna
4 Krause, Rolf H.
4 Luo, Xinlong
4 Maischak, Matthias
4 Majda, Andrew J.
4 Noé, Frank
4 Nowak, Ulrich
4 Padberg-Gehle, Kathrin
4 Pan, Kejia
4 Potra, Florian-Alexandru
4 Potschka, Andreas
4 Röblitz, Susanna
4 Rumpf, Martin
4 Seydel, Rüdiger U.
4 Shahzad, Naseer
4 Shehu, Yekini
4 Shen, Yunqiu
4 Strakoš, Zdeněk
4 Su, Chunmei
4 Vanden-Eijnden, Eric
4 Vohralík, Martin
4 Volkwein, Stefan
...and 1,747 more Authors
all top 5

Cited in 244 Serials

87 Journal of Computational and Applied Mathematics
74 Numerische Mathematik
59 Applied Numerical Mathematics
53 Journal of Computational Physics
43 Applied Mathematics and Computation
41 Computers & Mathematics with Applications
37 Computer Methods in Applied Mechanics and Engineering
35 Numerical Algorithms
34 Computing
24 Mathematics of Computation
23 Numerical Functional Analysis and Optimization
21 BIT
21 Journal of Optimization Theory and Applications
19 Computational Optimization and Applications
18 Journal of Scientific Computing
17 SIAM Journal on Scientific Computing
15 International Journal of Computer Mathematics
14 SIAM Journal on Numerical Analysis
12 Linear Algebra and its Applications
12 Optimization Methods & Software
12 Combustion Theory and Modelling
11 Journal of Mathematical Analysis and Applications
11 Mathematical Programming. Series A. Series B
11 SIAM Journal on Optimization
11 Journal of Applied Mathematics and Computing
10 Applied Mathematics Letters
10 Journal of Inverse and Ill-Posed Problems
10 Multiscale Modeling & Simulation
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Mathematical Biosciences
9 International Journal for Numerical Methods in Engineering
9 Mathematics and Computers in Simulation
9 Physica D
8 Journal of Mathematical Biology
8 Journal of Complexity
8 Numerical Methods for Partial Differential Equations
8 Applied Mathematical Modelling
8 Journal of Mathematical Chemistry
8 Chaos
8 SIAM Journal on Applied Dynamical Systems
7 Bulletin of Mathematical Biology
7 Computational Mechanics
7 Numerical Linear Algebra with Applications
7 Journal of Nonlinear Science and Applications
7 Journal of Theoretical Biology
6 Celestial Mechanics and Dynamical Astronomy
6 Journal of Nonlinear Science
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Communications in Nonlinear Science and Numerical Simulation
6 Journal of Computational Dynamics
5 Computers and Fluids
5 Computer Physics Communications
5 Inverse Problems
5 Journal of Statistical Physics
5 Japan Journal of Applied Mathematics
5 Applications of Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Optimization
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 Computational and Applied Mathematics
4 Advances in Computational Mathematics
4 Multibody System Dynamics
4 Computational Geosciences
4 Nonlinear Analysis. Real World Applications
4 GAMM-Mitteilungen
4 Nonlinear Analysis. Theory, Methods & Applications
3 International Journal for Numerical Methods in Fluids
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 Journal of Mathematical Sciences (New York)
3 International Journal of Computer Vision
3 ETNA. Electronic Transactions on Numerical Analysis
3 Engineering Analysis with Boundary Elements
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
3 Computing and Visualization in Science
3 Foundations of Computational 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 Mathematical Programming Computation
3 Science China. Mathematics
3 Statistics and Computing
3 S\(\vec{\text{e}}\)MA Journal
2 Journal of Engineering Mathematics
2 Journal of the Franklin Institute
2 Nonlinearity
2 Applied Mathematics and Optimization
2 Czechoslovak Mathematical Journal
2 Journal of Approximation Theory
2 Meccanica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 144 more Serials
all top 5

Cited in 45 Fields

903 Numerical analysis (65-XX)
248 Partial differential equations (35-XX)
211 Ordinary differential equations (34-XX)
135 Operator theory (47-XX)
130 Biology and other natural sciences (92-XX)
126 Calculus of variations and optimal control; optimization (49-XX)
101 Fluid mechanics (76-XX)
90 Operations research, mathematical programming (90-XX)
89 Dynamical systems and ergodic theory (37-XX)
81 Mechanics of deformable solids (74-XX)
80 Probability theory and stochastic processes (60-XX)
49 Classical thermodynamics, heat transfer (80-XX)
46 Optics, electromagnetic theory (78-XX)
38 Computer science (68-XX)
35 Statistical mechanics, structure of matter (82-XX)
26 Mechanics of particles and systems (70-XX)
25 Statistics (62-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
23 Systems theory; control (93-XX)
22 Integral equations (45-XX)
17 Approximations and expansions (41-XX)
15 Quantum theory (81-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 Functions of a complex variable (30-XX)
5 General and overarching topics; collections (00-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Combinatorics (05-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
4 Differential geometry (53-XX)
3 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
1 Mathematical logic and foundations (03-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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