Peter Deuflhard - Author Profile

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Deuflhard, Peter (b. 1944 d. 2019)

Author ID:	deuflhard.peter
Published as:	Deuflhard, Peter; Deuflhard, P.; Deuffhard, Peter; Deuffhard, P. more...less
Homepage:	https://www.zib.de/deuflhard/
External Links:	MGP · Wikidata · Google Scholar · dblp · GND · IdRef

Documents Indexed:	107 Publications since 1974, including 18 Books
	4 Contributions as Editor
Co-Authors:	96 Co-Authors with 86 Joint Publications
	2,809 Co-Co-Authors

all top 5

Co-Authors

23	single-authored
13	Weiser, Martin
7	Hohmann, Andreas
7	Schütte, Christof
6	Bornemann, Folkmar A.
6	Nowak, Ulrich
5	Erdmann, Bodo
5	Schiela, Anton
4	Huisinga, Wilhelm
4	Klapproth, Corinna
3	Fischer, Alexander
3	Hochmuth, Reinhard
3	Röblitz, Susanna
3	Schmidt, Frank W.
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	Roitzsch, Rainer
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	Lines, Glenn Terje
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	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
8	De Gruyter Lehrbuch
4	SIAM Journal on Numerical Analysis
4	IMPACT of Computing in Science and Engineering
3	Computing
3	Linear Algebra and its Applications
3	Computing and Visualization in Science
3	Journal of Theoretical Biology
3	De Gruyter Studium
2	SIAM Journal on Scientific Computing
2	Progress in Scientific Computing
2	Springer Series in Computational Mathematics
2	Texts in Applied Mathematics
2	De Gruyter Textbook
1	Computers & Mathematics with Applications
1	Inverse Problems
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Journal of Computational Physics
1	Mathematical Methods in the Applied Sciences
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	BIT
1	International Journal for Numerical Methods in Engineering
1	SIAM Journal on Control and Optimization
1	Applied Numerical Mathematics
1	Surveys on Mathematics for Industry
1	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1	Celestial Mechanics
1	Nova Acta Leopoldina. Neue Folge
1	SIAM Review
1	Notices of the American Mathematical Society
1	East-West Journal of Numerical Mathematics
1	Documenta Mathematica
1	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1	Vietnam Journal of Mathematics
1	Optimization Methods & Software
1	Communications in Nonlinear Science and Numerical Simulation
1	Multiscale Modeling & Simulation
1	Acta Numerica
1	Lecture Notes in Computational Science and Engineering
1	Texts in Computational Science and Engineering
1	PAMM. Proceedings in Applied Mathematics and Mechanics
1	Numerical Mathematics: Theory, Methods and Applications
1	EMS Series in Industrial and Applied Mathematics

all top 5

Fields

88	Numerical analysis (65-XX)
30	Biology and other natural sciences (92-XX)
24	Ordinary differential equations (34-XX)
20	Partial differential equations (35-XX)
11	General and overarching topics; collections (00-XX)
10	Statistics (62-XX)
10	Classical thermodynamics, heat transfer (80-XX)
9	Operator theory (47-XX)
8	Mechanics of deformable solids (74-XX)
6	Statistical mechanics, structure of matter (82-XX)
5	Probability theory and stochastic processes (60-XX)
4	Dynamical systems and ergodic theory (37-XX)
4	Calculus of variations and optimal control; optimization (49-XX)
4	Computer science (68-XX)
3	History and biography (01-XX)
3	Mechanics of particles and systems (70-XX)
3	Optics, electromagnetic theory (78-XX)
3	Quantum theory (81-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Operations research, mathematical programming (90-XX)
2	Systems theory; control (93-XX)
1	Difference and functional equations (39-XX)
1	Sequences, series, summability (40-XX)
1	Approximations and expansions (41-XX)
1	Functional analysis (46-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

97 Publications have been cited 2,196 times in 1,697 Documents	Cited by ▼	Year ▼
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051 Deuflhard, Peter	224	2004
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028 Deuflhard, P.; Heindl, G.	124	1979
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043 Deuflhard, Peter	117	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.	93	1974
The cascadic multigrid method for elliptic problems. Zbl 0873.65107 Bornemann, Folkmar A.; Deuflhard, Peter	90	1996
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071 Deuflhard, Peter; Bornemann, Folkmar	87	2002
Recent progress in extrapolation methods for ordinary differential equations. Zbl 0602.65047 Deuflhard, P.	84	1985
A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Zbl 0522.65050 Bader, G.; Deuflhard, P.	82	1983
Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111 Deuflhard, P.; Leinen, P.; Yserentant, H.	78	1989
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012 Deuflhard, P.	60	1979
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083 Deuflhard, P.; Hairer, E.; Zugck, J.	57	1987
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008 Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch.	55	2000
Order and stepsize control in extrapolation methods. Zbl 0543.65049 Deuflhard, P.	53	1983
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145 Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P.	51	1999
Robust Perron cluster analysis in conformation dynamics. Zbl 1070.15019 Deuflhard, Peter; Weber, Marcus	48	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.	44	2006
Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001 Deuflhard, Peter; Hohmann, Andreas	37	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	36	1998
Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. Zbl 0821.65078 Schmidt, F.; Deuflhard, P.	35	1995
A contact-stabilized Newmark method for dynamical contact problems. Zbl 1169.74053 Deuflhard, Peter; Krause, Rolf; Ertel, Susanne	34	2008
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007 Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo	32	2007
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012 Schütte, Ch.; Huisinga, W.; Deuflhard, P.	31	2001
Optimal control for a tuberculosis model with undetected cases in Cameroon. Zbl 1333.92061 Moualeu, D. P.; Weiser, M.; Ehrig, R.; Deuflhard, P.	28	2015
A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032 Deuflhard, P.	27	1979
Efficient numerical pathfollowing beyond critical points. Zbl 0632.65058 Deuflhard, P.; Fiedler, P.; Kunkel, P.	25	1987
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090 Deuflhard, Peter	25	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	25	1999
Adaptive numerical solution of PDEs. Zbl 1268.65146 Deuflhard, Peter; Weiser, Martin	24	2012
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056 Deuflhard, Peter; Potra, Florian A.	23	1992
Extrapolation integrators for quasilinear implicit ODEs. Zbl 0617.65078 Deuflhard, P.; Nowak, U.	22	1987
Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032 Deuflhard, Peter	19	1991
A relaxation strategy for the modified Newton method. Zbl 0312.65042 Deuflhard, Peter	18	1975
Computation of essential molecular dynamics by subdivision techniques. Zbl 0966.81067 Deuflhard, Peter; Dellnitz, Michael; Junge, Oliver; Schütte, Christof	18	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.	17	1976
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003 Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael	17	2008
Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080 Deuflhard, Peter; Bornemann, Folkmar	17	1994
Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027 Deuflhard, Peter; Freund, Roland; Walter, Artur	17	1990
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051 Weiser, Martin; Schiela, Anton; Deuflhard, Peter	17	2005
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066 Deuflhard, P.; Wulkow, M.	16	1989
A complex mathematical model of the human menstrual cycle. Zbl 1455.92021 Reinecke, Isabel; Deuflhard, Peter	16	2007
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076 Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.	13	2002
On algorithms for the summation of certain special functions. Zbl 0331.65011 Deuflhard, P.	12	1976
Adaptive finite element simulation of ventricular fibrillation dynamics. Zbl 1512.92001 Deuflhard, Peter; Erdmann, Bodo; Roitzsch, Rainer; Lines, Glenn Terje	11	2009
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135 Deuflhard, Peter; Weiser, Martin	11	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.	11	2013
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328 Weiser, Martin; Deuflhard, Peter	9	2007
A study of the Gauss-Newton algorithm for the solution of nonlinear least squares problems. Zbl 0443.65049 Deuflhard, P.; Apostolescu, V.	9	1980
Molecular conformation dynamics and computational drug design. Zbl 1134.92004 Deuflhard, Peter; Schütte, Christof	9	2004
Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001 Deuflhard, Peter; Hohmann, Andreas	9	1991
Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015 Deuflhard, Peter; Hochmuth, Reinhard	8	2004
Computation of periodic solutions of nonlinear ODEs. Zbl 0567.65049 Deuflhard, P.	8	1984
Multiple shoothing techniques revisited. Zbl 0527.65059 Deuflhard, P.; Bader, G.	8	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.	8	2011
Consistency results on Newmark methods for dynamical contact problems. Zbl 1283.74045 Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter	7	2010
A perturbation result for dynamical contact problems. Zbl 1201.74153 Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton	6	2009
On rank-deficient pseudoinverses. Zbl 0452.65019 Deuflhard, P.; Sautter, W.	6	1980
Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059 Deuflhard, Peter	6	1979
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303 Deuflhard, Peter; Bornemann, Folkmar	6	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	6	2002
Numerical identification of selected rate constants in large chemical reaction systems. Zbl 0551.65051 Nowak, U.; Deuflhard, P.	6	1985
An underrelaxed Gauss-Newton method for equality constrained nonlinear least squares problems. Zbl 0374.90066 Deuflhard, P.; Apostolescu, V.	5	1978
Recent advances in multiple shooting techniques. Zbl 0458.65068 Deuflhard, P.	5	1980
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024 Deuflhard, Peter; Weiser, Martin; Seebass, Martin	5	2000
Dynamic dimension reduction in ODE models. Zbl 0865.65053 Deuflhard, P.; Heroth, J.	5	1996
A summation technique for minimal solutions of linear homogeneous difference equations. Zbl 0348.65091 Deuflhard, P.	5	1977
A guide to numerical modelling in systems biology. Zbl 1325.92001 Deuflhard, Peter; Röblitz, Susanna	5	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	5	1995
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
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	4	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	4	2002
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304 Deuflhard, Peter	4	2003
A short history of Newton’s method. Zbl 1279.01015 Deuflhard, Peter	3	2012
Adaptive timestep control for the contact-stabilized Newmark method. Zbl 1391.74277 Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter	3	2011
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
Kepler discretization in regular celestial mechanics. Zbl 0422.70019 Deuflhard, P.	3	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	3	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	3	1999
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002 Schöpf, Rainer; Deuflhard, Peter	3	1994
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006 Hochmuth, Reinhard; Deuflhard, Peter	3	2004
The grand four: affine invariant globalizations of Newton’s method. Zbl 06996357 Deuflhard, Peter	3	2018
Stable computation of probability densities for metastable dynamical systems. Zbl 1142.65100 Weber, Marcus; Kube, Susanna; Walter, Lionel; Deuflhard, Peter	2	2007
Local inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0911.65123 Deuflhard, P.; Weiser, M.	2	1997
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
Towards an efficient numerical simulation of complex 3D knee joint motion. Zbl 1388.74108 Sander, Oliver; Klapproth, Corinna; Youett, Jonathan; Kornhuber, Ralf; Deuflhard, Peter	2	2013
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. 4th revised and augmented ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1273.65001 Deuflhard, Peter; Bornemann, Folkmar	2	2013
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
Mathematics in facial surgery. Zbl 1137.00009 Deuflhard, Peter; Weiser, Martin; Zachow, Stefan	1	2006
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 pathfollowing beyond critical points in ODE models. Zbl 0617.65094 Deuflhard, P.; Fiedler, B.; Kunkel, P.	1	1987
MATHEON – Mathematics for key technologies. Zbl 1287.00001	1	2014
Towards parameter identification for large chemical reaction systems. Zbl 0549.65054 Nowak, U.; Deuflhard, P.	1	1983
Uniqueness theorems for stiff ODE initial value problems. Zbl 0699.65060 Deuflhard, P.	1	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	1	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	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.	28	2015
A guide to numerical modelling in systems biology. Zbl 1325.92001 Deuflhard, Peter; Röblitz, Susanna	5	2015
MATHEON – Mathematics for key technologies. Zbl 1287.00001	1	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.	11	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	2	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
Adaptive numerical solution of PDEs. Zbl 1268.65146 Deuflhard, Peter; Weiser, Martin	24	2012
A short history of Newton’s method. Zbl 1279.01015 Deuflhard, Peter	3	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	117	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
Adaptive finite element simulation of ventricular fibrillation dynamics. Zbl 1512.92001 Deuflhard, Peter; Erdmann, Bodo; Roitzsch, Rainer; Lines, Glenn Terje	11	2009
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	34	2008
Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003 Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael	17	2008
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. (Numerische Mathematik 2. Gewöhnliche Differentialgleichungen.) Zbl 1167.65303 Deuflhard, Peter; Bornemann, Folkmar	6	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	4	2008
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007 Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo	32	2007
A complex mathematical model of the human menstrual cycle. Zbl 1455.92021 Reinecke, Isabel; Deuflhard, Peter	16	2007
Inexact central path following algorithms for optimal control problems. Zbl 1151.65328 Weiser, Martin; Deuflhard, Peter	9	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.	44	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	48	2005
Asymptotic mesh independence of Newton’s method revisited. Zbl 1081.65051 Weiser, Martin; Schiela, Anton; Deuflhard, Peter	17	2005
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051 Deuflhard, Peter	224	2004
Molecular conformation dynamics and computational drug design. Zbl 1134.92004 Deuflhard, Peter; Schütte, Christof	9	2004
Multiscale analysis of thermoregulation in the human microvascular system. Zbl 1062.92015 Deuflhard, Peter; Hochmuth, Reinhard	8	2004
Multiscale analysis for the bio-heat transfer equation – the nonisolated case. Zbl 1063.80006 Hochmuth, Reinhard; Deuflhard, Peter	3	2004
Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001 Deuflhard, Peter; Hohmann, Andreas	37	2003
From molecular dynamics to conformation dynamics in drug design. Zbl 1132.92304 Deuflhard, Peter	4	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	87	2002
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076 Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.	13	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	6	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	4	2002
Hierarchical uncoupling-coupling of metastable conformations. Zbl 1138.92324 Fischer, Alexander; Schütte, Christof; Deuffhard, Peter; Cordes, Frank	3	2002
Transfer operator approach to conformational dynamics in biomolecular systems. Zbl 0996.92012 Schütte, Ch.; Huisinga, W.; Deuflhard, P.	31	2001
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains. Zbl 0963.65008 Deuflhard, P.; Huisinga, W.; Fischer, A.; Schütte, Ch.	55	2000
A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning. Zbl 0964.92024 Deuflhard, Peter; Weiser, Martin; Seebass, Martin	5	2000
A direct approach to conformational dynamics based on hybrid Monte Carlo. Zbl 0933.65145 Schütte, Ch.; Fischer, A.; Huisinga, W.; Deuflhard, P.	51	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	18	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	3	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	36	1998
Global inexact Newton multilevel FEM for nonlinear elliptic problems. Zbl 0926.65135 Deuflhard, Peter; Weiser, Martin	11	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.	2	1997
The cascadic multigrid method for elliptic problems. Zbl 0873.65107 Bornemann, Folkmar A.; Deuflhard, Peter	90	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.	35	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	5	1995
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results. Zbl 0817.65090 Deuflhard, Peter	25	1994
Numerical mathematics. II: Integration of ordinary differential equations. (Numerische Mathematik. II: Integration gewöhnlicher Differentialgleichungen.) Zbl 0856.65080 Deuflhard, Peter; Bornemann, Folkmar	17	1994
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002 Schöpf, Rainer; Deuflhard, Peter	3	1994
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056 Deuflhard, Peter; Potra, Florian A.	23	1992
Global inexact Newton methods for very large scale nonlinear problems. Zbl 0745.65032 Deuflhard, Peter	19	1991
Numerische Mathematik. Eine algorithmisch orientierte Einführung. (Numerical mathematics. An algorithmically oriented introduction). Zbl 0734.65001 Deuflhard, Peter; Hohmann, Andreas	9	1991
Fast secant methods for the iterative solution of large nonsymmetric linear systems. Zbl 0729.65027 Deuflhard, Peter; Freund, Roland; Walter, Artur	17	1990
Uniqueness theorems for stiff ODE initial value problems. Zbl 0699.65060 Deuflhard, P.	1	1990
Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111 Deuflhard, P.; Leinen, P.; Yserentant, H.	78	1989
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Zbl 0711.65066 Deuflhard, P.; Wulkow, M.	16	1989
One-step and extrapolation methods for differential-algebraic systems. Zbl 0635.65083 Deuflhard, P.; Hairer, E.; Zugck, J.	57	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.	22	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.	84	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.	82	1983
Order and stepsize control in extrapolation methods. Zbl 0543.65049 Deuflhard, P.	53	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	3	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
Recent advances in multiple shooting techniques. Zbl 0458.65068 Deuflhard, P.	5	1980
Kepler discretization in regular celestial mechanics. Zbl 0422.70019 Deuflhard, P.	3	1980
Affine invariant convergence theorems for Newton’s method and extensions to related methods. Zbl 0395.65028 Deuflhard, P.; Heindl, G.	124	1979
A study of extrapolation methods based on multistep schemes without parasitic solutions. Zbl 0406.70012 Deuflhard, P.	60	1979
A stepsize control for continuation methods and its special application to multiple shooting techniques. Zbl 0428.65032 Deuflhard, P.	27	1979
Nonlinear equation solvers in boundary value problem codes. Zbl 0459.65059 Deuflhard, Peter	6	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.	5	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	18	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.	93	1974

all cited Publications top 5 cited Publications

all top 5

Cited by 2,556 Authors

59	Argyros, Ioannis Konstantinos
27	Deuflhard, Peter
27	Hilout, Saïd
26	Schütte, Christof
19	Weiser, Martin
18	Hoppe, Ronald H. W.
17	Smooke, Mitchell D.
16	Schiela, Anton
16	Weber, Marcus
15	Froyland, Gary
15	Shampine, Lawrence Fred
14	Wohlmuth, Barbara I.
12	Pan, Kejia
11	Dellnitz, Michael
11	Fackeldey, Konstantin
11	Lang, Jens
11	Martínez, José Mario
11	Yamamoto, Tetsuro
10	Bennett, Beth Anne V.
10	George, Santhosh
10	Kornhuber, Ralf
10	Krause, Rolf H.
10	Lubich, Christian
10	Tchelepi, Hamdi A.
9	Hairer, Ernst
9	Hamon, François P.
9	Koltai, Péter
9	Toint, Philippe Louis
9	Xu, Fei
8	Gould, Nicholas Ian Mark
8	Hu, Hongling
8	Huang, Qiumei
8	Junge, Oliver
8	Kunisch, Karl
8	Mehrmann, Volker
8	Selgrade, James F.
8	Wick, Thomas
8	Ypma, Tjalling J.
7	Cai, Gang
7	Klus, Stefan
7	Rentrop, Peter
7	Röblitz, Susanna
7	Wu, Xinyuan
7	Zhao, Xiaofei
6	Amrein, Mario
6	Augustin, Christoph M.
6	Bittracher, Andreas
6	Cartis, Coralia
6	Chan, Robert Peng Kong
6	Chen, Chuanmiao
6	Dolejší, Vít
6	Huisinga, Wilhelm
6	Ikhile, Monday Ndidi Oziegbe
6	Kamal, M. Anwar
6	Kloeden, Peter Eris
6	Kunkel, Peter
6	Luo, Xinlong
6	Maas, Ulrich
6	Ober-Blöbaum, Sina
6	Pesch, Hans Josef
6	Plank, Gernot
6	Praetorius, Dirk
6	Rheinboldt, Werner C.
6	Senosiain, M. J.
6	Su, Chunmei
6	Wihler, Thomas Pascal
6	Wu, Qingbiao
6	Zou, Qingsong
5	Bao, Weizhu
5	Cătinaş, Emil
5	Cho, Yeol Je
5	Erdmann, Bodo
5	Ferreira, Orizon Pereira
5	Giovangigli, Vincent
5	Götschel, Sebastian
5	Grossmann, Christian
5	He, Dongdong
5	Kiehl, Martin
5	Kirkland, Stephen J.
5	Langer, Ulrich
5	Li, Chenliang
5	Linsenmann, Christopher
5	Noé, Frank
5	Potschka, Andreas
5	Renard, Yves
5	Rumpf, Martin
5	Scacchi, Simone
5	Schmidt, Frank W.
5	Schöps, Sebastian
5	Simeon, Bernd
5	Stephan, Ernst Peter
5	Strehmel, Karl
5	Syed, Khalid Saifullah
5	Ulbrich, Stefan
5	Weiner, Rüdiger
5	Yserentant, Harry
5	Ziessler, Adrian
4	Arnold, Martin
4	Ascher, Uri M.
4	Bacuta, Constantin
...and 2,456 more Authors

all top 5

Cited in 300 Serials

101	Journal of Computational and Applied Mathematics
82	Journal of Computational Physics
76	Numerische Mathematik
67	Applied Numerical Mathematics
57	Applied Mathematics and Computation
56	Computer Methods in Applied Mechanics and Engineering
51	Computers & Mathematics with Applications
45	Numerical Algorithms
34	Computing
29	SIAM Journal on Scientific Computing
27	Mathematics of Computation
25	BIT
23	Journal of Optimization Theory and Applications
23	Numerical Functional Analysis and Optimization
22	Journal of Scientific Computing
22	Computational Optimization and Applications
19	Combustion Theory and Modelling
18	SIAM Journal on Numerical Analysis
17	International Journal for Numerical Methods in Engineering
16	Mathematical Biosciences
16	International Journal of Computer Mathematics
16	SIAM Journal on Optimization
15	Linear Algebra and its Applications
15	Optimization Methods & Software
15	Journal of Applied Mathematics and Computing
15	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13	Mathematics and Computers in Simulation
13	Physica D
13	Applied Mathematics Letters
13	Multiscale Modeling & Simulation
13	Journal of Theoretical Biology
12	Journal of Mathematical Analysis and Applications
12	Applied Mathematical Modelling
12	Mathematical Programming. Series A. Series B
12	Numerical Linear Algebra with Applications
12	Communications in Nonlinear Science and Numerical Simulation
11	Computer Physics Communications
11	Journal of Complexity
11	Numerical Methods for Partial Differential Equations
11	Journal of Inverse and Ill-Posed Problems
11	Computing and Visualization in Science
11	Chaos
10	Bulletin of Mathematical Biology
10	Computational Mechanics
9	Inverse Problems
9	Journal of Mathematical Chemistry
8	Journal of Mathematical Biology
8	Journal of Nonlinear Science
8	SIAM Journal on Applied Dynamical Systems
7	Computers and Fluids
7	Celestial Mechanics and Dynamical Astronomy
7	Computational and Applied Mathematics
7	Advances in Computational Mathematics
7	Journal of Nonlinear Science and Applications
6	Mathematical Methods in the Applied Sciences
6	Optimal Control Applications & Methods
6	Optimization
6	Engineering Analysis with Boundary Elements
6	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6	Computational Geosciences
6	Journal of Numerical Mathematics
6	Journal of Computational Dynamics
5	Journal of Statistical Physics
5	Japan Journal of Applied Mathematics
5	Applications of Mathematics
5	Applied and Computational Harmonic Analysis
5	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5	Computational Methods in Applied Mathematics
4	International Journal for Numerical Methods in Fluids
4	Journal of Fluid Mechanics
4	Calcolo
4	Science in China. Series A
4	Proceedings of the National Academy of Sciences of the United States of America
4	Communications in Numerical Methods in Engineering
4	Journal of Mathematical Sciences (New York)
4	International Journal of Computer Vision
4	Mathematical Problems in Engineering
4	Multibody System Dynamics
4	Nonlinear Analysis. Real World Applications
4	GAMM-Mitteilungen
4	Communications in Computational Physics
4	Statistics and Computing
4	S\(\vec{\text{e}}\)MA Journal
4	Nonlinear Analysis. Theory, Methods & Applications
3	Journal of Engineering Mathematics
3	Automatica
3	Journal of Approximation Theory
3	SIAM Journal on Control and Optimization
3	Journal of Computational Mathematics
3	Journal of Integral Equations and Applications
3	Japan Journal of Industrial and Applied Mathematics
3	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3	SIAM Review
3	Journal of Dynamics and Differential Equations
3	ETNA. Electronic Transactions on Numerical Analysis
3	Journal of Difference Equations and Applications
3	Journal of Inequalities and Applications
3	Mathematical and Computer Modelling of Dynamical Systems
3	Optimization and Engineering
3	Foundations of Computational Mathematics
...and 200 more Serials

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Cited in 49 Fields

1,171	Numerical analysis (65-XX)
338	Partial differential equations (35-XX)
244	Ordinary differential equations (34-XX)
191	Biology and other natural sciences (92-XX)
181	Calculus of variations and optimal control; optimization (49-XX)
162	Operator theory (47-XX)
145	Fluid mechanics (76-XX)
130	Operations research, mathematical programming (90-XX)
123	Mechanics of deformable solids (74-XX)
112	Dynamical systems and ergodic theory (37-XX)
110	Probability theory and stochastic processes (60-XX)
68	Classical thermodynamics, heat transfer (80-XX)
61	Optics, electromagnetic theory (78-XX)
51	Computer science (68-XX)
47	Statistical mechanics, structure of matter (82-XX)
45	Statistics (62-XX)
42	Systems theory; control (93-XX)
38	Mechanics of particles and systems (70-XX)
31	Linear and multilinear algebra; matrix theory (15-XX)
28	Integral equations (45-XX)
24	Quantum theory (81-XX)
23	Approximations and expansions (41-XX)
17	Global analysis, analysis on manifolds (58-XX)
15	Information and communication theory, circuits (94-XX)
13	Geophysics (86-XX)
11	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10	Special functions (33-XX)
10	Difference and functional equations (39-XX)
7	General and overarching topics; collections (00-XX)
7	General topology (54-XX)
6	Combinatorics (05-XX)
6	Real functions (26-XX)
6	Functions of a complex variable (30-XX)
6	Harmonic analysis on Euclidean spaces (42-XX)
5	Functional analysis (46-XX)
5	Relativity and gravitational theory (83-XX)
4	Differential geometry (53-XX)
3	History and biography (01-XX)
3	Astronomy and astrophysics (85-XX)
2	Field theory and polynomials (12-XX)
2	Integral transforms, operational calculus (44-XX)
1	Mathematical logic and foundations (03-XX)
1	Commutative algebra (13-XX)
1	Algebraic geometry (14-XX)
1	Group theory and generalizations (20-XX)
1	Potential theory (31-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Convex and discrete geometry (52-XX)
1	Mathematics education (97-XX)

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