Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051
Deuflhard, Peter |
|
2004
|
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, P.; Heindl, G. |
|
1979
|
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms.
Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter |
|
2011
|
A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Zbl 0313.65070
Deuflhard, P. |
|
1974
|
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter |
|
1996
|
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar |
|
2002
|
Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047
Deuflhard, P. |
|
1985
|
A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050
Bader, G.; Deuflhard, P. |
|
1983
|
Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111
Deuflhard, P.; Leinen, P.; Yserentant, H. |
|
1989
|
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012
Deuflhard, P. |
|
1979
|
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083
Deuflhard, P.; Hairer, E.; Zugck, J. |
|
1987
|
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008
Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch. |
|
2000
|
Order and stepsize control in extrapolation methods. Zbl 0543.65049
Deuflhard, P. |
|
1983
|
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145
Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P. |
|
1999
|
Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019
Deuflhard, Peter; Weber, Marcus |
|
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. |
|
2006
|
Numerical analysis in modern scientific computing. An introduction.
2nd revised ed. Zbl 1025.65001
Deuflhard, Peter; Hohmann, Andreas |
|
2003
|
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 |
|
1998
|
Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078
Schmidt, F.; Deuflhard, P. |
|
1995
|
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053
Deuflhard, Peter; Krause, Rolf; Ertel, Susanne |
|
2008
|
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo |
|
2007
|
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012
Schütte, Ch.; Huisinga, W.; Deuflhard, P. |
|
2001
|
Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061
Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P. |
|
2015
|
A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032
Deuflhard, P. |
|
1979
|
Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058
Deuflhard, P.; Fiedler, P.; Kunkel, P. |
|
1987
|
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090
Deuflhard, Peter |
|
1994
|
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 |
|
1999
|
Adaptive numerical solution of PDEs. Zbl 1268.65146
Deuflhard, Peter; Weiser, Martin |
|
2012
|
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A. |
|
1992
|
Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078
Deuflhard, P.; Nowak, U. |
|
1987
|
Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032
Deuflhard, Peter |
|
1991
|
A relaxation strategy for the modified Newton method. Zbl 0312.65042
Deuflhard, Peter |
|
1975
|
Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067
Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof |
|
1999
|
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. |
|
1976
|
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003
Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael |
|
2008
|
Numerical mathematics. II: Integration of ordinary differential equations.
(Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar |
|
1994
|
Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027
Deuflhard, Peter; Freund, Roland; Walter, Artur |
|
1990
|
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051
Weiser, Martin; Schiela, Anton; Deuflhard, Peter |
|
2005
|
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066
Deuflhard, P.; Wulkow, M. |
|
1989
|
A complex mathematical model of the human menstrual cycle. Zbl 1455.92021
Reinecke, Isabel; Deuflhard, Peter |
|
2007
|
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N. |
|
2002
|
On algorithms for the summation of certain special functions. Zbl 0331.65011
Deuflhard, P. |
|
1976
|
Adaptive finite element simulation of ventricular fibrillation dynamics. Zbl 1512.92001
Deuflhard, Peter; Erdmann, Bodo; Roitzsch, Rainer; Lines, Glenn Terje |
|
2009
|
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135
Deuflhard, Peter; Weiser, Martin |
|
1998
|
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. |
|
2013
|
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328
Weiser, Martin; Deuflhard, Peter |
|
2007
|
A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049
Deuflhard, P.; Apostolescu, V. |
|
1980
|
Molecular conformation dynamics and computational drug design. Zbl 1134.92004
Deuflhard, Peter; Schütte, Christof |
|
2004
|
Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001
Deuflhard, Peter; Hohmann, Andreas |
|
1991
|
Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015
Deuflhard, Peter; Hochmuth, Reinhard |
|
2004
|
Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049
Deuflhard, P. |
|
1984
|
Multiple shoothing techniques revisited. Zbl 0527.65059
Deuflhard, P.; Bader, G. |
|
1983
|
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. |
|
2011
|
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter |
|
2010
|
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton |
|
2009
|
On rank-deficient pseudoinverses. Zbl 0452.65019
Deuflhard, P.; Sautter, W. |
|
1980
|
Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059
Deuflhard, Peter |
|
1979
|
Numerical mathematics 2. Ordinary differential equations.
3rd revised ed.
(Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303
Deuflhard, Peter; Bornemann, Folkmar |
|
2008
|
Numerical mathematics. 2: Ordinary differential equations.
2., vollst. überarb. u. erweit. Aufl.
(Numerische Mathematik. 2: Gewöhnliche Differentialgleichungen.) Zbl 1004.65074
Deuflhard, Peter; Bornemann, Folkmar |
|
2002
|
Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051
Nowak, U.; Deuflhard, P. |
|
1985
|
An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066
Deuflhard, P.; Apostolescu, V. |
|
1978
|
Recent advances in multiple shooting techniques. Zbl 0458.65068
Deuflhard, P. |
|
1980
|
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024
Deuflhard, Peter; Weiser, Martin; Seebass, Martin |
|
2000
|
Dynamic dimension reduction in ODE models. Zbl 0865.65053
Deuflhard, P.; Heroth, J. |
|
1996
|
A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091
Deuflhard, P. |
|
1977
|
A guide to numerical modelling in systems biology. Zbl 1325.92001
Deuflhard, Peter; Röblitz, Susanna |
|
2015
|
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 |
|
1995
|
Numerical mathematics 3. Adaptive solutions of partial differential equations.
(Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093
Deuflhard, Peter; Weiser, Martin |
|
2011
|
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 |
|
2008
|
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 |
|
2002
|
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304
Deuflhard, Peter |
|
2003
|
A short history of Newton’s method. Zbl 1279.01015
Deuflhard, Peter |
|
2012
|
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter |
|
2011
|
On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008
Weiser, M.; Erdmann, B.; Deuflhard, P. |
|
2010
|
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324
Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank |
|
2002
|
Kepler discretization in regular celestial mechanics. Zbl 0422.70019
Deuflhard, P. |
|
1980
|
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
|
|
1983
|
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
|
|
1999
|
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002
Schöpf, Rainer; Deuflhard, Peter |
|
1994
|
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006
Hochmuth, Reinhard; Deuflhard, Peter |
|
2004
|
The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357
Deuflhard, Peter |
|
2018
|
Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100
Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter |
|
2007
|
Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123
Deuflhard, P.; Weiser, M. |
|
1997
|
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K. |
|
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 |
|
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 |
|
2013
|
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, Peter; Schiela, Anton; Weiser, Martin |
|
2012
|
Numerical mathematics 2. Ordinary differential equations.
4th revised and augmented ed.
(Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar |
|
2013
|
On the thermoregulation in the human microvascular system. Zbl 1354.80005
Deuflhard, Peter; Hochmuth, Reinhard |
|
2003
|
A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023
Deuflhard, Peter |
|
2003
|
Mathematics in facial surgery. Zbl 1137.00009
Deuflhard, Peter; Weiser, Martin; Zachow, Stefan |
|
2006
|
Massively parallel linearly-implicit extrapolation algorithms as a powerful tool in process simulation. Zbl 0923.68064
Ehrig, R.; Nowak, U.; Deuflhard, P. |
|
1998
|
Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, P.; Fiedler, B.; Kunkel, P. |
|
1987
|
MATHEON – Mathematics for key technologies. Zbl 1287.00001
|
|
2014
|
Towards parameter identification for large chemical reaction systems. Zbl 0549.65054
Nowak, U.; Deuflhard, P. |
|
1983
|
Uniqueness theorems for stiff ODE initial value problems. Zbl 0699.65060
Deuflhard, P. |
|
1990
|
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 |
|
2019
|
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 |
|
2019
|
The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357
Deuflhard, Peter |
|
2018
|
Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061
Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P. |
|
2015
|
A guide to numerical modelling in systems biology. Zbl 1325.92001
Deuflhard, Peter; Röblitz, Susanna |
|
2015
|
MATHEON – Mathematics for key technologies. Zbl 1287.00001
|
|
2014
|
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. |
|
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 |
|
2013
|
Numerical mathematics 2. Ordinary differential equations.
4th revised and augmented ed.
(Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar |
|
2013
|
Adaptive numerical solution of PDEs. Zbl 1268.65146
Deuflhard, Peter; Weiser, Martin |
|
2012
|
A short history of Newton’s method. Zbl 1279.01015
Deuflhard, Peter |
|
2012
|
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, Peter; Schiela, Anton; Weiser, Martin |
|
2012
|
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms.
Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter |
|
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. |
|
2011
|
Numerical mathematics 3. Adaptive solutions of partial differential equations.
(Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) Zbl 1230.65093
Deuflhard, Peter; Weiser, Martin |
|
2011
|
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter |
|
2011
|
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter |
|
2010
|
On efficiency and accuracy in cardioelectric simulation. Zbl 1308.92008
Weiser, M.; Erdmann, B.; Deuflhard, P. |
|
2010
|
Adaptive finite element simulation of ventricular fibrillation dynamics. Zbl 1512.92001
Deuflhard, Peter; Erdmann, Bodo; Roitzsch, Rainer; Lines, Glenn Terje |
|
2009
|
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton |
|
2009
|
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053
Deuflhard, Peter; Krause, Rolf; Ertel, Susanne |
|
2008
|
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003
Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael |
|
2008
|
Numerical mathematics 2. Ordinary differential equations.
3rd revised ed.
(Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303
Deuflhard, Peter; Bornemann, Folkmar |
|
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 |
|
2008
|
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo |
|
2007
|
A complex mathematical model of the human menstrual cycle. Zbl 1455.92021
Reinecke, Isabel; Deuflhard, Peter |
|
2007
|
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328
Weiser, Martin; Deuflhard, Peter |
|
2007
|
Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100
Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter |
|
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. |
|
2006
|
Mathematics in facial surgery. Zbl 1137.00009
Deuflhard, Peter; Weiser, Martin; Zachow, Stefan |
|
2006
|
Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019
Deuflhard, Peter; Weber, Marcus |
|
2005
|
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051
Weiser, Martin; Schiela, Anton; Deuflhard, Peter |
|
2005
|
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051
Deuflhard, Peter |
|
2004
|
Molecular conformation dynamics and computational drug design. Zbl 1134.92004
Deuflhard, Peter; Schütte, Christof |
|
2004
|
Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015
Deuflhard, Peter; Hochmuth, Reinhard |
|
2004
|
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006
Hochmuth, Reinhard; Deuflhard, Peter |
|
2004
|
Numerical analysis in modern scientific computing. An introduction.
2nd revised ed. Zbl 1025.65001
Deuflhard, Peter; Hohmann, Andreas |
|
2003
|
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304
Deuflhard, Peter |
|
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 |
|
2003
|
On the thermoregulation in the human microvascular system. Zbl 1354.80005
Deuflhard, Peter; Hochmuth, Reinhard |
|
2003
|
A comparison of related concepts in computational chemistry and mathematics. Zbl 1205.00023
Deuflhard, Peter |
|
2003
|
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar |
|
2002
|
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N. |
|
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 |
|
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 |
|
2002
|
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324
Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank |
|
2002
|
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012
Schütte, Ch.; Huisinga, W.; Deuflhard, P. |
|
2001
|
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008
Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch. |
|
2000
|
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024
Deuflhard, Peter; Weiser, Martin; Seebass, Martin |
|
2000
|
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145
Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P. |
|
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 |
|
1999
|
Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067
Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof |
|
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
|
|
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 |
|
1998
|
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135
Deuflhard, Peter; Weiser, Martin |
|
1998
|
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K. |
|
1998
|
Massively parallel linearly-implicit extrapolation algorithms as a powerful tool in process simulation. Zbl 0923.68064
Ehrig, R.; Nowak, U.; Deuflhard, P. |
|
1998
|
Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123
Deuflhard, P.; Weiser, M. |
|
1997
|
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter |
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1996
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Dynamic dimension reduction in ODE models. Zbl 0865.65053
Deuflhard, P.; Heroth, J. |
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1996
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Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078
Schmidt, F.; Deuflhard, P. |
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1995
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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 |
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1995
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Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090
Deuflhard, Peter |
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1994
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Numerical mathematics. II: Integration of ordinary differential equations.
(Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar |
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1994
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OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002
Schöpf, Rainer; Deuflhard, Peter |
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1994
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Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A. |
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1992
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Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032
Deuflhard, Peter |
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1991
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Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001
Deuflhard, Peter; Hohmann, Andreas |
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1991
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Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027
Deuflhard, Peter; Freund, Roland; Walter, Artur |
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1990
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Uniqueness theorems for stiff ODE initial value problems. Zbl 0699.65060
Deuflhard, P. |
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1990
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Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111
Deuflhard, P.; Leinen, P.; Yserentant, H. |
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1989
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Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066
Deuflhard, P.; Wulkow, M. |
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1989
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One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083
Deuflhard, P.; Hairer, E.; Zugck, J. |
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1987
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Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058
Deuflhard, P.; Fiedler, P.; Kunkel, P. |
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1987
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Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078
Deuflhard, P.; Nowak, U. |
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1987
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Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, P.; Fiedler, B.; Kunkel, P. |
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1987
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Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047
Deuflhard, P. |
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1985
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Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051
Nowak, U.; Deuflhard, P. |
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1985
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Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049
Deuflhard, P. |
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1984
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A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050
Bader, G.; Deuflhard, P. |
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1983
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Order and stepsize control in extrapolation methods. Zbl 0543.65049
Deuflhard, P. |
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1983
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Multiple shoothing techniques revisited. Zbl 0527.65059
Deuflhard, P.; Bader, G. |
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1983
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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
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1983
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Towards parameter identification for large chemical reaction systems. Zbl 0549.65054
Nowak, U.; Deuflhard, P. |
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1983
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A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049
Deuflhard, P.; Apostolescu, V. |
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1980
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On rank-deficient pseudoinverses. Zbl 0452.65019
Deuflhard, P.; Sautter, W. |
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1980
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Recent advances in multiple shooting techniques. Zbl 0458.65068
Deuflhard, P. |
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1980
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Kepler discretization in regular celestial mechanics. Zbl 0422.70019
Deuflhard, P. |
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1980
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Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028
Deuflhard, P.; Heindl, G. |
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1979
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A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012
Deuflhard, P. |
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1979
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A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032
Deuflhard, P. |
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1979
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Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059
Deuflhard, Peter |
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1979
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An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066
Deuflhard, P.; Apostolescu, V. |
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1978
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A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091
Deuflhard, P. |
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1977
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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. |
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1976
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On algorithms for the summation of certain special functions. Zbl 0331.65011
Deuflhard, P. |
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1976
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A relaxation strategy for the modified Newton method. Zbl 0312.65042
Deuflhard, Peter |
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1975
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A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Zbl 0313.65070
Deuflhard, P. |
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1974
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