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Griewank, Andreas (b. 1950 d. 2021)

Author ID: griewank.andreas Recent zbMATH articles by "Griewank, Andreas"
Published as: Griewank, Andreas; Griewank, A.; Griewank, A. O.
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

23 single-authored
24 Walther, Andrea
9 Bosse, Torsten
7 Lehmann, Lutz
7 Reddien, George W. jun.
6 Streubel, Tom
6 Toint, Philippe Louis
5 Bischof, Christian H.
5 Radons, Manuel
5 Vogel, Olaf
4 Corliss, George F.
4 Gauger, Nicolas R.
4 Hamdi, Adel
4 Leovey, Hernan
4 Schlenkrich, Sebastian
4 Utke, Jean
3 Faure, Christèle
3 Fiege, Sabrina
3 Hasenfelder, Richard
3 Özkaya, Emre
3 Rabier, Patrick J.
3 Strogies, Nikolai
2 Bernt, Jens-Uwe
2 Carle, Alan
2 Eneya, Levis Keliyasi
2 Engell, Sebastian
2 Günther, Stefanie
2 Hinze, Michael
2 Jansen, Karl
2 Korzec, Maciek D.
2 Kratzenstein, Claudia
2 Kulshreshtha, Kshitij
2 Leugering, Günter
2 Müller-Preussker, Michael
2 Naumann, Uwe
2 Osborne, Michael Robert
2 Rannacher, Rolf
2 Reich, Sebastian
2 Roulstone, Ian
2 Schulz, Volker H.
2 Slawig, Thomas
2 Sternberg, Julia
2 Stuart, Andrew M.
2 Ulbrich, Stefan
1 Alvarez, Felipe
1 Amaya, Jorge
1 Ammon, A.
1 Averick, Brett M.
1 Bär, G.
1 Benner, Peter
1 Berz, Martin
1 Best, André
1 Boeck, P.
1 Bollhöfer, Matthias
1 Burdakov, Oleg P.
1 Cartis, Coralia
1 Christianson, Bruce
1 Cosgrove, J. D. F.
1 El-Danaf, Talaat S. Aly
1 Enkhbat, Rentsen
1 Fischer, Jonathan
1 Forth, Shaun A.
1 Fruth, Manfred
1 Geitner, Uwe
1 Gompil, Battur
1 Guddat, Jürgen
1 Harbrecht, Helmut
1 Hascoet, Laurent
1 Hutschenreiter, Ulf
1 Jongen, Hubertus Th.
1 Juedes, David W.
1 Kaland, Lena
1 Kuo, Frances Y.
1 Kwong, Man Kam
1 Lamour, René
1 Leaf, Gary K.
1 Lotov, Alexander V.
1 Mitev, Christo
1 Monett, Dagmar
1 Moré, Jorge J.
1 Nemili, Anil
1 Nube, A.
1 Reese, Shawn
1 Restrepo, Juan Mario
1 Riehme, Jan
1 Schlagk, Daniel
1 Schmidt, Stephan
1 Sheng, Laihua
1 Shiriaev, Dmitri V.
1 Sloan, Ian Hugh
1 Stange, Peter
1 Tischendorf, Caren
1 Ulbrich, Michael
1 Vasilieva, Olga Olegovna
1 Weiß, Olga
1 Yuan, Ya-xiang
1 Zilberman, Marat
all top 5

Serials

15 Optimization Methods & Software
7 Mathematical Programming. Series A. Series B
5 SIAM Journal on Numerical Analysis
5 PAMM. Proceedings in Applied Mathematics and Mechanics
4 Numerische Mathematik
2 Applicable Analysis
2 Mathematics of Computation
2 ACM Transactions on Mathematical Software
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Optimization
2 Computational Optimization and Applications
2 SIAM Journal on Scientific Computing
2 Documenta Mathematica
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Oberwolfach Reports
2 ISNM. International Series of Numerical Mathematics
2 Afrika Matematika
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 IMA Journal of Numerical Analysis
1 Journal of the Australian Mathematical Society, Series B
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 BIT
1 Computing
1 Journal of Optimization Theory and Applications
1 Mathematical Programming
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 SIAM Review
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Revista Investigación Operacional
1 Mathematical Methods of Operations Research
1 Acta Numerica
1 Frontiers in Applied Mathematics
1 Optimization Letters
1 Revue Européenne de Mécanique Numérique
1 Mongolian Mathematical Journal

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 2,173 times in 1,492 Documents Cited by Year
Evaluating derivatives. Principles and techniques of algorithmic differentiation. 2nd ed. Zbl 1159.65026
Griewank, Andreas; Walther, Andrea
376
2008
Evaluating derivatives. Principles and techniques of algorithmic differentiation. Zbl 0958.65028
Griewank, Andreas
221
2000
Algorithm 755: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++. Zbl 0884.65015
Griewank, Andreas; Juedes, David; Utke, Jean
109
1996
Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation. Zbl 1137.65330
Griewank, Andreas; Walther, Andrea
77
2000
On automatic differentiation. Zbl 0696.65015
Griewank, Andreas
76
1989
Automatic differentiation of algorithms. Theory, implementation, and application. Proceedings of the first SIAM workshop, held in Beckenridge, CO, USA, January 6-8, 1991. Zbl 0747.00030
69
1991
The ”global” convergence of Broyden-like methods with a suitable line search. Zbl 0596.65034
Griewank, Andreas
64
1986
Local convergence analysis for partitioned quasi-Newton updates. Zbl 0505.65018
Griewank, A.; Toint, Ph. L.
59
1982
Characterization and computation of generalized turning points. Zbl 0536.65031
Griewank, A.; Reddien, G. W.
59
1984
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
54
1983
Generalized descent for global optimization. Zbl 0431.49036
Griewank, A. O.
50
1981
On solving nonlinear equations with simple singularities or nearly singular solutions. Zbl 0598.65026
Griewank, A.
46
1985
Partitioned variable metric updates for large structured optimization problems. Zbl 0482.65035
Griewank, A.; Toint, Ph. L.
40
1982
On the smoothness of convex envelopes. Zbl 0712.49010
Griewank, A.; Rabier, P. J.
40
1990
On stable piecewise linearization and generalized algorithmic differentiation. Zbl 1278.65021
Griewank, Andreas
39
2013
Approximate inverse preconditionings for sparse linear systems. Zbl 0762.65025
Cosgrove, J. D. F.; Díaz, J. C.; Griewank, A.
37
1992
The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces. Zbl 0627.65067
Griewank, Andreas
37
1987
Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Zbl 0857.00033
35
1996
On the unconstrained optimization of partially separable functions. Zbl 0563.90085
Griewank, A.; Toint, Ph. L.
30
1982
Starlike domains of convergence for Newton’s method at singularities. Zbl 0419.65034
Griewank, A. O.
29
1980
The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients. Zbl 0736.90068
Griewank, Andreas
27
1991
Evaluating higher derivative tensors by forward propagation of univariate Taylor series. Zbl 0952.65028
Griewank, Andreas; Utke, Jean; Walther, Andrea
24
2000
Analysis of Newton’s method at irregular singularities. Zbl 0525.65025
Griewank, A.; Osborne, M. R.
24
1983
Solving piecewise linear systems in ABS-normal form. Zbl 1308.90179
Griewank, Andreas; Bernt, Jens-Uwe; Radons, Manuel; Streubel, Tom
22
2015
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
21
2012
Automatic differentiation of algorithms. From simulation to optimization. Selected papers from the 3rd international conference, Nice, France, June 2000. Incl. 1 CD-ROM. Zbl 0983.68001
20
2002
A mathematical view of automatic differentiation. Zbl 1047.65012
Griewank, Andreas
19
2003
Some bounds on the complexity of gradients, Jacobians, and Hessians. Zbl 0968.90524
Griewank, Andreas
16
1993
Newton’s method for singular problems when the dimension of the null space is \(>1\). Zbl 0453.65032
Griewank, Andreas; Osborne, M. R.
15
1981
On constrained optimization by adjoint based quasi-Newton methods. Zbl 1065.90077
Griewank, Andreas; Walther, Andrea
14
2002
Reduced functions, gradients and Hessians from fixed-point iterations for state equations. Zbl 1005.65025
Griewank, Andreas; Faure, Christèle
14
2002
Computation of cusp singularities for operator equations and their discretizations. Zbl 0672.65031
Griewank, Andreas; Reddien, George W.
14
1989
Properties of an augmented Lagrangian for design optimization. Zbl 1225.90124
Hamdi, Adel; Griewank, Andreas
14
2010
Projected Hessian for preconditioning in one-step one-shot design optimization. Zbl 1108.90040
Griewank, Andreas
14
2006
First- and second-order optimality conditions for piecewise smooth objective functions. Zbl 1385.90026
Griewank, A.; Walther, A.
14
2016
On Lipschitz optimization based on gray-box piecewise linearization. Zbl 1350.49038
Griewank, Andreas; Walther, Andrea; Fiege, Sabrina; Bosse, Torsten
13
2016
High dimensional integration of kinks and jumps – smoothing by preintegration. Zbl 1460.65023
Griewank, Andreas; Kuo, Frances Y.; Leövey, Hernan; Sloan, Ian H.
13
2018
Broyden updating, the good and the bad! Zbl 1264.65078
Griewank, Andreas
13
2012
One-shot approaches to design optimzation. Zbl 1327.90300
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Schulz, Volker
13
2014
On the existence of convex decompositions of partially separable functions. Zbl 0561.65045
Griewank, A.; Toint, Ph. L.
12
1984
Reduced quasi-Newton method for simultaneous design and optimization. Zbl 1251.90364
Hamdi, Adel; Griewank, Andreas
12
2011
Direct gear tooth contact analysis for hypoid bevel gears. Zbl 1077.70002
Vogel, O.; Griewank, A.; Bär, G.
10
2002
Numerical experiments with partially separable optimization problems. Zbl 0531.65033
Griewank, A.; Toint, Ph. L.
10
1984
ODE solving via automatic differentiation and rational prediction. Zbl 0849.65049
Griewank, A.
10
1996
Trends in PDE constrained optimization. Zbl 1306.49001
9
2014
Efficient accurate numerical treatment of the modified Burgers’ equation. Zbl 1167.35470
Griewank, A.; El-Danaf, Talaat S.
9
2009
ADOL-C: automatic differentiation using operator overloading in C++. Zbl 1201.68161
Walther, Andrea; Griewank, Andreas; Vogel, Olaf
8
2003
The approximation of generalized turning points by projection methods with superconvergence to the critical parameter. Zbl 0596.65040
Griewank, A.; Reddien, G. W.
8
1986
Automatic directional differentiation of nonsmooth composite functions. Zbl 0839.65024
Griewank, Andreas
8
1995
Automated extension of fixed point PDE solvers for optimal design with bounded retardation. Zbl 1356.49060
Gauger, Nicolas; Griewank, Andreas; Hamdi, Adel; Kratzenstein, Claudia; Özkaya, Emre; Slawig, Thomas
8
2012
On the calculation of Jacobian matrices by the Markowitz rule. Zbl 0782.65027
Griewank, Andreas; Reese, Shawn
7
1991
Generic aspects of convexification with applications to thermodynamic equilibrium. Zbl 0785.58013
Rabier, P. J.; Griewank, A.
7
1992
Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. Zbl 1196.90130
Griewank, Andreas; Walther, Andrea; Korzec, Maciek
7
2007
Circumventing storage limitations in variational data assimilation studies. Zbl 0956.76078
Restrepo, Juan Mario; Leaf, Gary K.; Griewank, Andreas
6
1998
On the efficient update of rectangular LU-factorizations subject to low rank modifications. Zbl 1171.15309
Stange, Peter; Griewank, Andreas; Bollhöfer, Matthias
6
2007
Application of AD-based quasi-Newton methods to stiff ODEs. Zbl 1270.65035
Schlenkrich, Sebastian; Walther, Andrea; Griewank, Andreas
6
2006
On the local convergence of adjoint Broyden methods. Zbl 1185.90207
Schlenkrich, Sebastian; Griewank, Andreas; Walther, Andrea
6
2010
Computing large sparse Jacobian matrices using automatic differentiation. Zbl 0799.65018
Averick, Brett M.; Moré, Jorge J.; Bischof, Christian H.; Carle, Alan; Griewank, Andreas
6
1994
Relaxing kink qualifications and proving convergence rates in piecewise smooth optimization. Zbl 1410.90252
Griewank, Andreas; Walther, Andrea
6
2019
Accumulating Jacobians as chained sparse matrix products. Zbl 1023.90053
Griewank, Andreas; Naumann, Uwe
5
2003
Detecting Jacobian sparsity patterns by Bayesian probing. Zbl 1012.65040
Griewank, Andreas; Mitev, Christo
5
2002
Rates of convergence for secant methods on nonlinear problems in Hilbert space. Zbl 0607.65032
Griewank, Andreas
5
1986
Adaptive sequencing of primal, dual, and design steps in simulation based optimization. Zbl 1327.90301
Bosse, Torsten; Lehmann, Lutz; Griewank, Andreas
5
2014
Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. Zbl 1306.90150
Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten
5
2014
Advantages of binomial checkpointing for memory-reduced adjoint calculations. Zbl 1056.65064
Walther, Andrea; Griewank, Andreas
5
2004
Piggyback differentiation and optimization. Zbl 1062.65054
Griewank, Andreas; Faure, Christèle
5
2003
Characterizing and testing subdifferential regularity in piecewise smooth optimization. Zbl 1422.49016
Walther, Andrea; Griewank, Andreas
5
2019
Algorithmic differentiation for piecewise smooth functions: a case study for robust optimization. Zbl 1401.90168
Fiege, Sabrina; Walther, Andrea; Kulshreshtha, Kshitij; Griewank, Andreas
5
2018
Who invented the reverse mode of differentiation? Zbl 1293.65035
Griewank, Andreas
5
2012
On the numerical stability of algorithmic differentiation. Zbl 1238.65013
Griewank, Andreas; Kulshreshtha, Kshitij; Walther, Andrea
4
2012
Extension of fixed point PDE solvers for optimal design by one-shot method. With first applications to aerodynamic shape optimization. Zbl 1292.76058
Gauger, Nicolas R.; Griewank, Andreas; Riehme, Jan
4
2008
Reduction of storage requirement by checkpointing for time-dependent optimal control problems in ODEs. Zbl 1270.49041
Sternberg, Julia; Griewank, Andreas
4
2006
Optimal \(r\)-order of an adjoint Broyden method without the assumption of linearly independent steps. Zbl 1211.90291
Griewank, Andreas; Schlenkrich, Sebastian; Walther, Andrea
4
2008
The approximate solution of defining equations for generalized turning points. Zbl 0876.65030
Griewank, A.; Reddien, G. W.
4
1996
Parametric approach to optimal control. Zbl 1258.49048
Radwan, A.; Vasilieva, O.; Enkhbat, R.; Griewank, A.; Guddat, J.
4
2012
An algorithm for nonsmooth optimization by successive piecewise linearization. Zbl 1420.49015
Fiege, Sabrina; Walther, Andrea; Griewank, Andreas
4
2019
Representation and analysis of piecewise linear functions in abs-normal form. Zbl 1325.65087
Streubel, Tom; Griewank, Andreas; Radons, Manuel; Bernt, Jens-Uwe
4
2014
Quantifying retardation in simulation based optimization. Zbl 1311.49068
Griewank, Andreas; Hamdi, Adel; Özkaya, Emre
3
2013
Automatic evaluations of cross-derivatives. Zbl 1278.65022
Griewank, Andreas; Lehmann, Lutz; Leovey, Hernan; Zilberman, Marat
3
2014
A continuous framework for open pit mine planning. Zbl 1209.49007
Alvarez, Felipe; Amaya, Jorge; Griewank, Andreas; Strogies, Nikolai
3
2011
ADOL-F: Automatic differentiation of Fortran codes. Zbl 0866.65019
Shiriaev, Dmitri; Griewank, Andreas
3
1996
Yury G. Evtushenko – a tribute (on the occasion of his 65th birthday). Zbl 1073.01515
Burdakov, Oleg P.; Griewank, Andreas; Lotov, Alexander V.
3
2005
Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. Zbl 1401.65070
Griewank, Andreas; Hasenfelder, Richard; Radons, Manuel; Lehmann, Lutz; Streubel, Tom
3
2018
Quasi-Monte Carlo methods for lattice systems: a first look. Zbl 1360.81018
Jansen, K.; Leovey, H.; Ammon, A.; Griewank, A.; Müller-Preussker, M.
3
2014
Direct calculation of Newton steps without accumulating Jacobians. Zbl 0726.90080
Griewank, Andreas
3
1990
ADIFOR: Automatic differentiation in a source translator environment. Zbl 0925.68231
Bischof, Christian; Carle, Alan; Corliss, George; Griewank, Andreas
2
1992
On the iterative solution of differential and integral equations using secant updating techniques. Zbl 0615.65059
Griewank, Andreas
2
1987
Critical points of mixed fluids and their numerical treatment. Zbl 0635.76099
Griewank, A.; Rabier, P.
2
1987
Introduction to automatic differentiation. Zbl 1201.68160
Griewank, Andreas; Walther, Andrea
2
2003
The solution of boundary value problems by Broyden based secant methods. Zbl 0622.65061
Griewank, Andreas
2
1986
Index determination in DAEs using the library indexnet and the ADOL-C package for algorithmic differentiation. Zbl 1152.65457
Monett, Dagmar; Lamour, René; Griewank, Andreas
2
2008
A method for pointwise evaluation of polyconvex envelopes. Zbl 1260.49061
Eneya, Levis; Bosse, Torsten; Griewank, Andreas
2
2013
Piecewise linear secant approximation via algorithmic piecewise differentiation. Zbl 1408.90322
Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard
2
2018
Optimal design with bounded retardation for problems with non-separable adjoints. Zbl 1332.49034
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Kaland, Lena; Kratzenstein, Claudia; Lehmann, Lutz; Nemili, Anil; Özkaya, Emre; Slawig, Thomas
2
2014
Nonsmooth optimization by successive abs-linearization in function spaces. Zbl 1486.90193
Walther, Andrea; Weiß, Olga; Griewank, Andreas; Schmidt, Stephan
2
2022
Tools for the automatic differentiation of computer programs. Zbl 0900.65042
Bischof, Christian; Griewank, Andreas
1
1996
The approximation of simple singularities. Zbl 0569.65043
Griewank, A.; Reddien, G. W.
1
1985
Quadratically appended linear models for locating generalized turning points. Zbl 0541.65034
Griewank, A.
1
1984
Experiments with generalized midpoint and trapezoidal rules on two nonsmooth ODE’s. Zbl 1314.65092
Boeck, P.; Gompil, B.; Griewank, A.; Hasenfelder, R.; Strogies, N.
1
2013
The equivalence of strict convexity and injectivity of the gradient in bounded level sets. Zbl 0738.49012
Griewank, Andreas; Jongen, Hubertus Th.; Kwong, Man Kam
1
1991
Nonsmooth optimization by successive abs-linearization in function spaces. Zbl 1486.90193
Walther, Andrea; Weiß, Olga; Griewank, Andreas; Schmidt, Stephan
2
2022
Relaxing kink qualifications and proving convergence rates in piecewise smooth optimization. Zbl 1410.90252
Griewank, Andreas; Walther, Andrea
6
2019
Characterizing and testing subdifferential regularity in piecewise smooth optimization. Zbl 1422.49016
Walther, Andrea; Griewank, Andreas
5
2019
An algorithm for nonsmooth optimization by successive piecewise linearization. Zbl 1420.49015
Fiege, Sabrina; Walther, Andrea; Griewank, Andreas
4
2019
Finite convergence of an active signature method to local minima of piecewise linear functions. Zbl 1428.90177
Griewank, Andreas; Walther, Andrea
1
2019
High dimensional integration of kinks and jumps – smoothing by preintegration. Zbl 1460.65023
Griewank, Andreas; Kuo, Frances Y.; Leövey, Hernan; Sloan, Ian H.
13
2018
Algorithmic differentiation for piecewise smooth functions: a case study for robust optimization. Zbl 1401.90168
Fiege, Sabrina; Walther, Andrea; Kulshreshtha, Kshitij; Griewank, Andreas
5
2018
Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. Zbl 1401.65070
Griewank, Andreas; Hasenfelder, Richard; Radons, Manuel; Lehmann, Lutz; Streubel, Tom
3
2018
Piecewise linear secant approximation via algorithmic piecewise differentiation. Zbl 1408.90322
Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard
2
2018
First- and second-order optimality conditions for piecewise smooth objective functions. Zbl 1385.90026
Griewank, A.; Walther, A.
14
2016
On Lipschitz optimization based on gray-box piecewise linearization. Zbl 1350.49038
Griewank, Andreas; Walther, Andrea; Fiege, Sabrina; Bosse, Torsten
13
2016
Mathematical and algorithmic aspects of data assimilation in the geosciences. Abstracts from the workshop held October 2–8, 2016. Zbl 1390.00096
1
2016
Solving piecewise linear systems in ABS-normal form. Zbl 1308.90179
Griewank, Andreas; Bernt, Jens-Uwe; Radons, Manuel; Streubel, Tom
22
2015
An algorithm for pointwise evaluation of polyconvex envelopes. II: generalization and numerical results. Zbl 1309.90114
Bosse, T.; Eneya, L.; Griewank, A.
1
2015
One-shot approaches to design optimzation. Zbl 1327.90300
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Schulz, Volker
13
2014
Trends in PDE constrained optimization. Zbl 1306.49001
9
2014
Adaptive sequencing of primal, dual, and design steps in simulation based optimization. Zbl 1327.90301
Bosse, Torsten; Lehmann, Lutz; Griewank, Andreas
5
2014
Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. Zbl 1306.90150
Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten
5
2014
Representation and analysis of piecewise linear functions in abs-normal form. Zbl 1325.65087
Streubel, Tom; Griewank, Andreas; Radons, Manuel; Bernt, Jens-Uwe
4
2014
Automatic evaluations of cross-derivatives. Zbl 1278.65022
Griewank, Andreas; Lehmann, Lutz; Leovey, Hernan; Zilberman, Marat
3
2014
Quasi-Monte Carlo methods for lattice systems: a first look. Zbl 1360.81018
Jansen, K.; Leovey, H.; Ammon, A.; Griewank, A.; Müller-Preussker, M.
3
2014
Optimal design with bounded retardation for problems with non-separable adjoints. Zbl 1332.49034
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Kaland, Lena; Kratzenstein, Claudia; Lehmann, Lutz; Nemili, Anil; Özkaya, Emre; Slawig, Thomas
2
2014
On stable piecewise linearization and generalized algorithmic differentiation. Zbl 1278.65021
Griewank, Andreas
39
2013
Quantifying retardation in simulation based optimization. Zbl 1311.49068
Griewank, Andreas; Hamdi, Adel; Özkaya, Emre
3
2013
A method for pointwise evaluation of polyconvex envelopes. Zbl 1260.49061
Eneya, Levis; Bosse, Torsten; Griewank, Andreas
2
2013
Experiments with generalized midpoint and trapezoidal rules on two nonsmooth ODE’s. Zbl 1314.65092
Boeck, P.; Gompil, B.; Griewank, A.; Hasenfelder, R.; Strogies, N.
1
2013
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
21
2012
Broyden updating, the good and the bad! Zbl 1264.65078
Griewank, Andreas
13
2012
Automated extension of fixed point PDE solvers for optimal design with bounded retardation. Zbl 1356.49060
Gauger, Nicolas; Griewank, Andreas; Hamdi, Adel; Kratzenstein, Claudia; Özkaya, Emre; Slawig, Thomas
8
2012
Who invented the reverse mode of differentiation? Zbl 1293.65035
Griewank, Andreas
5
2012
On the numerical stability of algorithmic differentiation. Zbl 1238.65013
Griewank, Andreas; Kulshreshtha, Kshitij; Walther, Andrea
4
2012
Parametric approach to optimal control. Zbl 1258.49048
Radwan, A.; Vasilieva, O.; Enkhbat, R.; Griewank, A.; Guddat, J.
4
2012
Mathematical and algorithmic aspects of atmosphere-ocean data assimilation. Abstracts from the workshop held December 2–8, 2012. Zbl 1349.00174
1
2012
Reduced quasi-Newton method for simultaneous design and optimization. Zbl 1251.90364
Hamdi, Adel; Griewank, Andreas
12
2011
A continuous framework for open pit mine planning. Zbl 1209.49007
Alvarez, Felipe; Amaya, Jorge; Griewank, Andreas; Strogies, Nikolai
3
2011
Duality results for stationary problems of open pit mine planning in a continuous function framework. Zbl 1222.49051
Griewank, A.; Strogies, N.
1
2011
Properties of an augmented Lagrangian for design optimization. Zbl 1225.90124
Hamdi, Adel; Griewank, Andreas
14
2010
On the local convergence of adjoint Broyden methods. Zbl 1185.90207
Schlenkrich, Sebastian; Griewank, Andreas; Walther, Andrea
6
2010
Efficient accurate numerical treatment of the modified Burgers’ equation. Zbl 1167.35470
Griewank, A.; El-Danaf, Talaat S.
9
2009
Evaluating derivatives. Principles and techniques of algorithmic differentiation. 2nd ed. Zbl 1159.65026
Griewank, Andreas; Walther, Andrea
376
2008
Extension of fixed point PDE solvers for optimal design by one-shot method. With first applications to aerodynamic shape optimization. Zbl 1292.76058
Gauger, Nicolas R.; Griewank, Andreas; Riehme, Jan
4
2008
Optimal \(r\)-order of an adjoint Broyden method without the assumption of linearly independent steps. Zbl 1211.90291
Griewank, Andreas; Schlenkrich, Sebastian; Walther, Andrea
4
2008
Index determination in DAEs using the library indexnet and the ADOL-C package for algorithmic differentiation. Zbl 1152.65457
Monett, Dagmar; Lamour, René; Griewank, Andreas
2
2008
Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. Zbl 1196.90130
Griewank, Andreas; Walther, Andrea; Korzec, Maciek
7
2007
On the efficient update of rectangular LU-factorizations subject to low rank modifications. Zbl 1171.15309
Stange, Peter; Griewank, Andreas; Bollhöfer, Matthias
6
2007
Projected Hessian for preconditioning in one-step one-shot design optimization. Zbl 1108.90040
Griewank, Andreas
14
2006
Application of AD-based quasi-Newton methods to stiff ODEs. Zbl 1270.65035
Schlenkrich, Sebastian; Walther, Andrea; Griewank, Andreas
6
2006
Reduction of storage requirement by checkpointing for time-dependent optimal control problems in ODEs. Zbl 1270.49041
Sternberg, Julia; Griewank, Andreas
4
2006
Yury G. Evtushenko – a tribute (on the occasion of his 65th birthday). Zbl 1073.01515
Burdakov, Oleg P.; Griewank, Andreas; Lotov, Alexander V.
3
2005
Analysis and exploitation of Jacobian scarcity. Zbl 1065.65069
Griewank, Andreas; Vogel, Olaf
1
2005
Approximating Jacobians by the TR2 formula. Zbl 1391.90640
Griewank, Andreas; Korzec, Maciek
1
2005
Advantages of binomial checkpointing for memory-reduced adjoint calculations. Zbl 1056.65064
Walther, Andrea; Griewank, Andreas
5
2004
How up-to-date are low-rank updates? Zbl 1070.65042
Griewank, Andreas; Walther, Andrea
1
2004
A mathematical view of automatic differentiation. Zbl 1047.65012
Griewank, Andreas
19
2003
ADOL-C: automatic differentiation using operator overloading in C++. Zbl 1201.68161
Walther, Andrea; Griewank, Andreas; Vogel, Olaf
8
2003
Accumulating Jacobians as chained sparse matrix products. Zbl 1023.90053
Griewank, Andreas; Naumann, Uwe
5
2003
Piggyback differentiation and optimization. Zbl 1062.65054
Griewank, Andreas; Faure, Christèle
5
2003
Introduction to automatic differentiation. Zbl 1201.68160
Griewank, Andreas; Walther, Andrea
2
2003
Automatic differentiation of algorithms. From simulation to optimization. Selected papers from the 3rd international conference, Nice, France, June 2000. Incl. 1 CD-ROM. Zbl 0983.68001
20
2002
On constrained optimization by adjoint based quasi-Newton methods. Zbl 1065.90077
Griewank, Andreas; Walther, Andrea
14
2002
Reduced functions, gradients and Hessians from fixed-point iterations for state equations. Zbl 1005.65025
Griewank, Andreas; Faure, Christèle
14
2002
Direct gear tooth contact analysis for hypoid bevel gears. Zbl 1077.70002
Vogel, O.; Griewank, A.; Bär, G.
10
2002
Detecting Jacobian sparsity patterns by Bayesian probing. Zbl 1012.65040
Griewank, Andreas; Mitev, Christo
5
2002
Evaluating derivatives. Principles and techniques of algorithmic differentiation. Zbl 0958.65028
Griewank, Andreas
221
2000
Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation. Zbl 1137.65330
Griewank, Andreas; Walther, Andrea
77
2000
Evaluating higher derivative tensors by forward propagation of univariate Taylor series. Zbl 0952.65028
Griewank, Andreas; Utke, Jean; Walther, Andrea
24
2000
Circumventing storage limitations in variational data assimilation studies. Zbl 0956.76078
Restrepo, Juan Mario; Leaf, Gary K.; Griewank, Andreas
6
1998
Algorithm 755: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++. Zbl 0884.65015
Griewank, Andreas; Juedes, David; Utke, Jean
109
1996
Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Zbl 0857.00033
35
1996
ODE solving via automatic differentiation and rational prediction. Zbl 0849.65049
Griewank, A.
10
1996
The approximate solution of defining equations for generalized turning points. Zbl 0876.65030
Griewank, A.; Reddien, G. W.
4
1996
ADOL-F: Automatic differentiation of Fortran codes. Zbl 0866.65019
Shiriaev, Dmitri; Griewank, Andreas
3
1996
Tools for the automatic differentiation of computer programs. Zbl 0900.65042
Bischof, Christian; Griewank, Andreas
1
1996
Automatic computation of sparse Jacobians by applying the method of Newsam and Ramsdell. Zbl 0869.65013
Geitner, Uwe; Utke, Jean; Griewank, Andreas
1
1996
Automatic directional differentiation of nonsmooth composite functions. Zbl 0839.65024
Griewank, Andreas
8
1995
Computing large sparse Jacobian matrices using automatic differentiation. Zbl 0799.65018
Averick, Brett M.; Moré, Jorge J.; Bischof, Christian H.; Carle, Alan; Griewank, Andreas
6
1994
Some bounds on the complexity of gradients, Jacobians, and Hessians. Zbl 0968.90524
Griewank, Andreas
16
1993
Approximate inverse preconditionings for sparse linear systems. Zbl 0762.65025
Cosgrove, J. D. F.; Díaz, J. C.; Griewank, A.
37
1992
Generic aspects of convexification with applications to thermodynamic equilibrium. Zbl 0785.58013
Rabier, P. J.; Griewank, A.
7
1992
ADIFOR: Automatic differentiation in a source translator environment. Zbl 0925.68231
Bischof, Christian; Carle, Alan; Corliss, George; Griewank, Andreas
2
1992
Automatic differentiation of algorithms. Theory, implementation, and application. Proceedings of the first SIAM workshop, held in Beckenridge, CO, USA, January 6-8, 1991. Zbl 0747.00030
69
1991
The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients. Zbl 0736.90068
Griewank, Andreas
27
1991
On the calculation of Jacobian matrices by the Markowitz rule. Zbl 0782.65027
Griewank, Andreas; Reese, Shawn
7
1991
The equivalence of strict convexity and injectivity of the gradient in bounded level sets. Zbl 0738.49012
Griewank, Andreas; Jongen, Hubertus Th.; Kwong, Man Kam
1
1991
On the smoothness of convex envelopes. Zbl 0712.49010
Griewank, A.; Rabier, P. J.
40
1990
Direct calculation of Newton steps without accumulating Jacobians. Zbl 0726.90080
Griewank, Andreas
3
1990
On automatic differentiation. Zbl 0696.65015
Griewank, Andreas
76
1989
Computation of cusp singularities for operator equations and their discretizations. Zbl 0672.65031
Griewank, Andreas; Reddien, George W.
14
1989
The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces. Zbl 0627.65067
Griewank, Andreas
37
1987
On the iterative solution of differential and integral equations using secant updating techniques. Zbl 0615.65059
Griewank, Andreas
2
1987
Critical points of mixed fluids and their numerical treatment. Zbl 0635.76099
Griewank, A.; Rabier, P.
2
1987
The ”global” convergence of Broyden-like methods with a suitable line search. Zbl 0596.65034
Griewank, Andreas
64
1986
The approximation of generalized turning points by projection methods with superconvergence to the critical parameter. Zbl 0596.65040
Griewank, A.; Reddien, G. W.
8
1986
Rates of convergence for secant methods on nonlinear problems in Hilbert space. Zbl 0607.65032
Griewank, Andreas
5
1986
The solution of boundary value problems by Broyden based secant methods. Zbl 0622.65061
Griewank, Andreas
2
1986
On solving nonlinear equations with simple singularities or nearly singular solutions. Zbl 0598.65026
Griewank, A.
46
1985
The approximation of simple singularities. Zbl 0569.65043
Griewank, A.; Reddien, G. W.
1
1985
Characterization and computation of generalized turning points. Zbl 0536.65031
Griewank, A.; Reddien, G. W.
59
1984
On the existence of convex decompositions of partially separable functions. Zbl 0561.65045
Griewank, A.; Toint, Ph. L.
12
1984
Numerical experiments with partially separable optimization problems. Zbl 0531.65033
Griewank, A.; Toint, Ph. L.
10
1984
...and 10 more Documents
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Cited by 2,506 Authors

38 Griewank, Andreas
32 Walther, Andrea
22 Gauger, Nicolas R.
20 Yuan, Gonglin
18 Toint, Philippe Louis
15 Barton, Paul I.
14 Wei, Zengxin
12 Bischof, Christian H.
12 Charpentier, Isabelle
11 Bücker, H. Martin
11 Naumann, Uwe
10 Bock, Hans Georg
10 Khan, Kamil A.
9 Lukšan, Ladislav
8 Bangerth, Wolfgang
8 Bosse, Torsten
8 Diehl, Moritz Mathias
8 Hossain, Shahadat
8 Kimiaei, Morteza
8 Moret, Igor
8 Navon, Ionel Michael
8 Pelteret, Jean-Paul
8 Sandu, Adrian
8 Stechlinski, Peter G.
7 Arndt, Daniel
7 Heister, Timo
7 Heltai, Luca
7 Joshi, Mark S.
7 Selland Kleppe, Tore
7 Kronbichler, Martin
7 Maier, Matthias Sebastian
7 Müller, Jens-Dominik
7 Potier-Ferry, Michel
7 Röbenack, Klaus
7 Skaug, Hans Julius
7 Steihaug, Trond
7 Turcksin, Bruno
6 Attili, Basem S.
6 Auer, Ekaterina
6 Govaerts, Willy J. F.
6 Hascoet, Laurent
6 Izmailov, Alekseĭ F.
6 Korelc, Jože
6 Koutsawa, Yao
6 Leovey, Hernan
6 Li, Donghui
6 Li, Junxiang
6 Li, Pengyuan
6 Mäkinen, Raino A. E.
6 Martínez, José Mario
6 Nedialkov, Nedialko S.
6 Pryce, John D.
6 Quirynen, Rien
6 Rauh, Andreas
6 Rump, Siegfried Michael
6 Schlöder, Johannes P.
5 Barrio, Roberto
5 Biegler, Lorenz T.
5 Dussault, Jean-Pierre
5 Eriksson, Anders B.
5 Farrell, Patrick E.
5 Fehling, Marc
5 Fischer, Andreas
5 Gimeno, Joan
5 Günther, Stefanie
5 Hoppe, Ronald H. W.
5 Kostina, Ekaterina A.
5 Lamour, René
5 Lehmann, Lutz
5 Lu, Xiwen
5 Mannel, Florian
5 Menickelly, Matt
5 Nesterov, Yurii
5 Ober-Blöbaum, Sina
5 Özkaya, Emre
5 Radons, Manuel
5 Schmidt, Stephan
5 Schwetlick, Hubert
5 Spence, Alastair
5 Streubel, Tom
5 Toivanen, Jukka I.
5 Vlček, Jan
5 Wild, Stefan M.
4 Alexe, Mihai
4 Antil, Harbir
4 Asaithambi, Asai
4 Aschemann, Harald
4 Azagra, Daniel
4 Bidabadi, Narges
4 Caboussat, Alexandre
4 Cheng, Wanyou
4 Cochelin, Bruno
4 Coleman, Thomas F.
4 Constantine, Paul G.
4 Daya, El Mostafa
4 Esmaeili, Hamid
4 Fidkowski, Krzysztof J.
4 Giannakoglou, Kyriakos C.
4 Gower, Robert Mansel
4 Gratton, Serge
...and 2,406 more Authors
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Cited in 319 Serials

103 Optimization Methods & Software
68 Journal of Computational and Applied Mathematics
62 Journal of Computational Physics
50 Applied Mathematics and Computation
48 Computer Methods in Applied Mechanics and Engineering
48 Mathematical Programming. Series A. Series B
33 Computational Optimization and Applications
28 Numerical Algorithms
28 SIAM Journal on Scientific Computing
27 Computers and Fluids
25 Computing
23 Journal of Optimization Theory and Applications
22 Journal of Global Optimization
22 SIAM Journal on Optimization
21 Computers & Mathematics with Applications
17 Computer Physics Communications
16 International Journal for Numerical Methods in Fluids
16 BIT
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16 International Journal of Computer Mathematics
14 Applied Numerical Mathematics
13 Mathematics of Computation
13 International Journal for Numerical Methods in Engineering
12 Optimization
12 Computational Mechanics
12 Journal of Scientific Computing
12 Optimization and Engineering
11 Mathematics and Computers in Simulation
11 Applied Mathematical Modelling
9 Journal of Mathematical Analysis and Applications
9 Linear Algebra and its Applications
8 Theoretical Computer Science
8 European Journal of Operational Research
7 ACM Transactions on Mathematical Software
7 SIAM Journal on Numerical Analysis
7 Computational Statistics and Data Analysis
7 Computational Geosciences
7 Journal of Numerical Mathematics
7 Optimization Letters
7 Mathematical Programming Computation
6 Kybernetika
6 Numerical Functional Analysis and Optimization
6 Optimal Control Applications & Methods
6 Physica D
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Numerical Linear Algebra with Applications
6 Engineering Analysis with Boundary Elements
6 Statistics and Computing
5 International Journal of Control
5 Inverse Problems
5 Automatica
5 Journal of Symbolic Computation
5 Computers & Operations Research
5 Journal of Economic Dynamics & Control
5 Annals of Operations Research
5 Computational and Applied Mathematics
5 Computing and Visualization in Science
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5 Journal of Industrial and Management Optimization
5 Journal of Computational and Graphical Statistics
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of Fluid Mechanics
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4 Chaos, Solitons and Fractals
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4 Transactions of the American Mathematical Society
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4 SIAM Review
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4 International Journal of Applied Mathematics and Computer Science
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4 Acta Numerica
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 SIAM Journal on Imaging Sciences
3 Archive for Rational Mechanics and Analysis
3 Journal of Engineering Mathematics
3 Journal of Mathematical Biology
3 Journal of Mathematical Physics
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Bulletin of Mathematical Biology
3 Applied Mathematics and Optimization
3 Calcolo
3 Mathematical Programming
3 Computer Aided Geometric Design
3 Mathematical and Computer Modelling
3 SIAM Journal on Matrix Analysis and Applications
3 Journal of Integral Equations and Applications
3 Applications of Mathematics
3 Celestial Mechanics and Dynamical Astronomy
3 Calculus of Variations and Partial Differential Equations
3 Journal of Convex Analysis
3 Advances in Computational Mathematics
...and 219 more Serials
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Cited in 53 Fields

864 Numerical analysis (65-XX)
447 Operations research, mathematical programming (90-XX)
249 Calculus of variations and optimal control; optimization (49-XX)
165 Fluid mechanics (76-XX)
155 Computer science (68-XX)
122 Partial differential equations (35-XX)
96 Ordinary differential equations (34-XX)
90 Statistics (62-XX)
86 Mechanics of deformable solids (74-XX)
74 Systems theory; control (93-XX)
70 Dynamical systems and ergodic theory (37-XX)
44 Mechanics of particles and systems (70-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Real functions (26-XX)
35 Operator theory (47-XX)
35 Biology and other natural sciences (92-XX)
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24 Linear and multilinear algebra; matrix theory (15-XX)
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