Edit Profile (opens in new tab) Griewank, Andreas Compute Distance To: Compute Author ID: griewank.andreas Published as: Griewank, Andreas; Griewank, A.; Griewank, A. O. more...less External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 118 Publications since 1980, including 2 Books 8 Contributions as Editor Biographic References: 1 Publication Co-Authors: 95 Co-Authors with 103 Joint Publications 2,198 Co-Co-Authors all top 5 Co-Authors 23 single-authored 24 Walther, Andrea 9 Bosse, Torsten 7 Reddien, George W. jun. 6 Lehmann, Lutz 6 Toint, Philippe L. 5 Bischof, Christian H. 5 Streubel, Tom 5 Vogel, Olaf 4 Corliss, George F. 4 Gauger, Nicolas R. 4 Hamdi, Adel 4 Radons, Manuel 4 Schlenkrich, Sebastian 4 Utke, Jean 3 Faure, Christèle 3 Fiege, Sabrina 3 Hasenfelder, Richard 3 Leovey, Hernan 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 Korzec, Maciek D. 2 Kratzenstein, Claudia 2 Kulshreshtha, Kshitij 2 Leugering, Günter 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 Jansen, Karl 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 Müller-Preussker, Michael 1 Nemili, Anil 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 all top 5 Fields 86 Numerical analysis (65-XX) 43 Operations research, mathematical programming (90-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 16 Computer science (68-XX) 9 Ordinary differential equations (34-XX) 8 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 4 Real functions (26-XX) 4 Fluid mechanics (76-XX) 4 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 1,832 times in 1,260 Documents Cited by ▼ Year ▼ Evaluating derivatives. Principles and techniques of algorithmic differentiation. 2nd ed. Zbl 1159.65026Griewank, Andreas; Walther, Andrea 308 2008 Evaluating derivatives. Principles and techniques of algorithmic differentiation. Zbl 0958.65028Griewank, Andreas 184 2000 Algorithm 755: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++. Zbl 0884.65015Griewank, Andreas; Juedes, David; Utke, Jean 98 1996 Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation. Zbl 1137.65330Griewank, Andreas; Walther, Andrea 66 2000 The ”global” convergence of Broyden-like methods with a suitable line search. Zbl 0596.65034Griewank, Andreas 59 1986 Characterization and computation of generalized turning points. Zbl 0536.65031Griewank, A.; Reddien, G. W. 59 1984 Local convergence analysis for partitioned quasi-Newton updates. Zbl 0505.65018Griewank, A.; Toint, Ph. L. 55 1982 The calculation of Hopf points by a direct method. Zbl 0521.65070Griewank, A.; Reddien, G. 50 1983 Generalized descent for global optimization. Zbl 0431.49036Griewank, A. O. 46 1981 On solving nonlinear equations with simple singularities or nearly singular solutions. Zbl 0598.65026Griewank, A. 44 1985 Partitioned variable metric updates for large structured optimization problems. Zbl 0482.65035Griewank, A.; Toint, Ph. L. 40 1982 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 40 1991 On automatic differentiation. Zbl 0696.65015Griewank, Andreas 37 1989 On stable piecewise linearization and generalized algorithmic differentiation. Zbl 1278.65021Griewank, Andreas 36 2013 On the smoothness of convex envelopes. Zbl 0712.49010Griewank, A.; Rabier, P. J. 36 1990 Approximate inverse preconditionings for sparse linear systems. Zbl 0762.65025Cosgrove, J. D. F.; Díaz, J. C.; Griewank, A. 34 1992 The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces. Zbl 0627.65067Griewank, Andreas 34 1987 Starlike domains of convergence for Newton’s method at singularities. Zbl 0419.65034Griewank, A. O. 28 1980 The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients. Zbl 0736.90068Griewank, Andreas 26 1991 On the unconstrained optimization of partially separable functions. Zbl 0563.90085Griewank, A.; Toint, Ph. L. 24 1982 Evaluating higher derivative tensors by forward propagation of univariate Taylor series. Zbl 0952.65028Griewank, Andreas; Utke, Jean; Walther, Andrea 22 2000 Analysis of Newton’s method at irregular singularities. Zbl 0525.65025Griewank, A.; Osborne, M. R. 22 1983 Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Zbl 0857.00033 21 1996 Solving piecewise linear systems in ABS-normal form. Zbl 1308.90179Griewank, Andreas; Bernt, Jens-Uwe; Radons, Manuel; Streubel, Tom 19 2015 Some bounds on the complexity of gradients, Jacobians, and Hessians. Zbl 0968.90524Griewank, Andreas 16 1993 A mathematical view of automatic differentiation. Zbl 1047.65012Griewank, Andreas 15 2003 Computation of cusp singularities for operator equations and their discretizations. Zbl 0672.65031Griewank, Andreas; Reddien, George W. 14 1989 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 14 2002 On Lipschitz optimization based on gray-box piecewise linearization. Zbl 1350.49038Griewank, Andreas; Walther, Andrea; Fiege, Sabrina; Bosse, Torsten 13 2016 On constrained optimization by adjoint based quasi-Newton methods. Zbl 1065.90077Griewank, Andreas; Walther, Andrea 13 2002 First- and second-order optimality conditions for piecewise smooth objective functions. Zbl 1385.90026Griewank, A.; Walther, A. 13 2016 Newton’s method for singular problems when the dimension of the null space is \(>1\). Zbl 0453.65032Griewank, Andreas; Osborne, M. R. 13 1981 One-shot approaches to design optimzation. Zbl 1327.90300Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Schulz, Volker 12 2014 Broyden updating, the good and the bad! Zbl 1264.65078Griewank, Andreas 12 2012 Reduced functions, gradients and Hessians from fixed-point iterations for state equations. Zbl 1005.65025Griewank, Andreas; Faure, Christèle 11 2002 Reduced quasi-Newton method for simultaneous design and optimization. Zbl 1251.90364Hamdi, Adel; Griewank, Andreas 11 2011 Properties of an augmented Lagrangian for design optimization. Zbl 1225.90124Hamdi, Adel; Griewank, Andreas 11 2010 On the existence of convex decompositions of partially separable functions. Zbl 0561.65045Griewank, A.; Toint, Ph. L. 10 1984 Projected Hessian for preconditioning in one-step one-shot design optimization. Zbl 1108.90040Griewank, Andreas 10 2006 Numerical experiments with partially separable optimization problems. Zbl 0531.65033Griewank, A.; Toint, Ph. L. 10 1984 Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001 10 2012 Direct gear tooth contact analysis for hypoid bevel gears. Zbl 1077.70002Vogel, O.; Griewank, A.; Bär, G. 9 2002 ODE solving via automatic differentiation and rational prediction. Zbl 0849.65049Griewank, A. 9 1996 Efficient accurate numerical treatment of the modified Burgers’ equation. Zbl 1167.35470Griewank, A.; El-Danaf, Talaat S. 9 2009 High dimensional integration of kinks and jumps – smoothing by preintegration. Zbl 1460.65023Griewank, Andreas; Kuo, Frances Y.; Leövey, Hernan; Sloan, Ian H. 8 2018 The approximation of generalized turning points by projection methods with superconvergence to the critical parameter. Zbl 0596.65040Griewank, A.; Reddien, G. W. 8 1986 Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. Zbl 1196.90130Griewank, Andreas; Walther, Andrea; Korzec, Maciek 7 2007 On the calculation of Jacobian matrices by the Markowitz rule. Zbl 0782.65027Griewank, Andreas; Reese, Shawn 7 1991 Generic aspects of convexification with applications to thermodynamic equilibrium. Zbl 0785.58013Rabier, P. J.; Griewank, A. 7 1992 On the local convergence of adjoint Broyden methods. Zbl 1185.90207Schlenkrich, Sebastian; Griewank, Andreas; Walther, Andrea 6 2010 Automatic directional differentiation of nonsmooth composite functions. Zbl 0839.65024Griewank, Andreas 6 1995 Circumventing storage limitations in variational data assimilation studies. Zbl 0956.76078Restrepo, Juan Mario; Leaf, Gary K.; Griewank, Andreas 6 1998 Computing large sparse Jacobian matrices using automatic differentiation. Zbl 0799.65018Averick, Brett M.; Moré, Jorge J.; Bischof, Christian H.; Carle, Alan; Griewank, Andreas 6 1994 Trends in PDE constrained optimization. Zbl 1306.49001 6 2014 Advantages of binomial checkpointing for memory-reduced adjoint calculations. Zbl 1056.65064Walther, Andrea; Griewank, Andreas 5 2004 Detecting Jacobian sparsity patterns by Bayesian probing. Zbl 1012.65040Griewank, Andreas; Mitev, Christo 5 2002 On the efficient update of rectangular LU-factorizations subject to low rank modifications. Zbl 1171.15309Stange, Peter; Griewank, Andreas; Bollhöfer, Matthias 5 2007 ADOL-C: automatic differentiation using operator overloading in C++. Zbl 1201.68161Walther, Andrea; Griewank, Andreas; Vogel, Olaf 5 2003 Relaxing kink qualifications and proving convergence rates in piecewise smooth optimization. Zbl 1410.90252Griewank, Andreas; Walther, Andrea 5 2019 Automated extension of fixed point PDE solvers for optimal design with bounded retardation. Zbl 1356.49060Gauger, Nicolas; Griewank, Andreas; Hamdi, Adel; Kratzenstein, Claudia; Özkaya, Emre; Slawig, Thomas 5 2012 Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. Zbl 1306.90150Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten 5 2014 Application of AD-based quasi-Newton methods to stiff ODEs. Zbl 1270.65035Schlenkrich, Sebastian; Walther, Andrea; Griewank, Andreas 5 2006 Optimal \(r\)-order of an adjoint Broyden method without the assumption of linearly independent steps. Zbl 1211.90291Griewank, Andreas; Schlenkrich, Sebastian; Walther, Andrea 4 2008 Characterizing and testing subdifferential regularity in piecewise smooth optimization. Zbl 1422.49016Walther, Andrea; Griewank, Andreas 4 2019 The approximate solution of defining equations for generalized turning points. Zbl 0876.65030Griewank, A.; Reddien, G. W. 4 1996 Extension of fixed point PDE solvers for optimal design by one-shot method. With first applications to aerodynamic shape optimization. Zbl 1292.76058Gauger, Nicolas R.; Griewank, Andreas; Riehme, Jan 4 2008 Adaptive sequencing of primal, dual, and design steps in simulation based optimization. Zbl 1327.90301Bosse, Torsten; Lehmann, Lutz; Griewank, Andreas 4 2014 Who invented the reverse mode of differentiation? Zbl 1293.65035Griewank, Andreas 4 2012 On the numerical stability of algorithmic differentiation. Zbl 1238.65013Griewank, Andreas; Kulshreshtha, Kshitij; Walther, Andrea 4 2012 Piggyback differentiation and optimization. Zbl 1062.65054Griewank, Andreas; Faure, Christèle 3 2003 Accumulating Jacobians as chained sparse matrix products. Zbl 1023.90053Griewank, Andreas; Naumann, Uwe 3 2003 Quasi-Monte Carlo methods for lattice systems: a first look. Zbl 1360.81018Jansen, K.; Leovey, H.; Ammon, A.; Griewank, A.; Müller-Preussker, M. 3 2014 Representation and analysis of piecewise linear functions in abs-normal form. Zbl 1325.65087Streubel, Tom; Griewank, Andreas; Radons, Manuel; Bernt, Jens-Uwe 3 2014 ADOL-F: Automatic differentiation of Fortran codes. Zbl 0866.65019Shiriaev, Dmitri; Griewank, Andreas 3 1996 Algorithmic differentiation for piecewise smooth functions: a case study for robust optimization. Zbl 1401.90168Fiege, Sabrina; Walther, Andrea; Kulshreshtha, Kshitij; Griewank, Andreas 3 2018 Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. Zbl 1401.65070Griewank, Andreas; Hasenfelder, Richard; Radons, Manuel; Lehmann, Lutz; Streubel, Tom 3 2018 Yury G. Evtushenko – a tribute (on the occasion of his 65th birthday). Zbl 1073.01515Burdakov, Oleg P.; Griewank, Andreas; Lotov, Alexander V. 3 2005 Direct calculation of Newton steps without accumulating Jacobians. Zbl 0726.90080Griewank, Andreas 3 1990 Rates of convergence for secant methods on nonlinear problems in Hilbert space. Zbl 0607.65032Griewank, Andreas 3 1986 Parametric approach to optimal control. Zbl 1258.49048Radwan, A.; Vasilieva, O.; Enkhbat, R.; Griewank, A.; Guddat, J. 3 2012 Reduction of storage requirement by checkpointing for time-dependent optimal control problems in ODEs. Zbl 1270.49041Sternberg, Julia; Griewank, Andreas 3 2006 Automatic evaluations of cross-derivatives. Zbl 1278.65022Griewank, Andreas; Lehmann, Lutz; Leovey, Hernan; Zilberman, Marat 3 2014 An algorithm for nonsmooth optimization by successive piecewise linearization. Zbl 1420.49015Fiege, Sabrina; Walther, Andrea; Griewank, Andreas 2 2019 The solution of boundary value problems by Broyden based secant methods. Zbl 0622.65061Griewank, Andreas 2 1986 Optimal design with bounded retardation for problems with non-separable adjoints. Zbl 1332.49034Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Kaland, Lena; Kratzenstein, Claudia; Lehmann, Lutz; Nemili, Anil; Özkaya, Emre; Slawig, Thomas 2 2014 ADIFOR: Automatic differentiation in a source translator environment. Zbl 0925.68231Bischof, Christian; Carle, Alan; Corliss, George; Griewank, Andreas 2 1992 Piecewise linear secant approximation via algorithmic piecewise differentiation. Zbl 1408.90322Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard 2 2018 Index determination in DAEs using the library indexnet and the ADOL-C package for algorithmic differentiation. Zbl 1152.65457Monett, Dagmar; Lamour, René; Griewank, Andreas 2 2008 Introduction to automatic differentiation. Zbl 1201.68160Griewank, Andreas; Walther, Andrea 2 2003 A continuous framework for open pit mine planning. Zbl 1209.49007Alvarez, Felipe; Amaya, Jorge; Griewank, Andreas; Strogies, Nikolai 2 2011 A method for pointwise evaluation of polyconvex envelopes. Zbl 1260.49061Eneya, Levis; Bosse, Torsten; Griewank, Andreas 2 2013 Critical points of mixed fluids and their numerical treatment. Zbl 0635.76099Griewank, A.; Rabier, P. 2 1987 Quantifying retardation in simulation based optimization. Zbl 1311.49068Griewank, Andreas; Hamdi, Adel; Özkaya, Emre 2 2013 Tools for the automatic differentiation of computer programs. Zbl 0900.65042Bischof, Christian; Griewank, Andreas 1 1996 Approximating Jacobians by the TR2 formula. Zbl 1391.90640Griewank, Andreas; Korzec, Maciek 1 2005 Nonsmooth optimization by successive abs-linearization in function spaces. Zbl 1486.90193Walther, Andrea; Weiß, Olga; Griewank, Andreas; Schmidt, Stephan 1 2022 Mathematical and algorithmic aspects of data assimilation in the geosciences. Abstracts from the workshop held October 2–8, 2016. Zbl 1390.00096 1 2016 Mathematical and algorithmic aspects of atmosphere-ocean data assimilation. Abstracts from the workshop held December 2–8, 2012. Zbl 1349.00174 1 2012 Finite convergence of an active signature method to local minima of piecewise linear functions. Zbl 1428.90177Griewank, Andreas; Walther, Andrea 1 2019 Automatic computation of sparse Jacobians by applying the method of Newsam and Ramsdell. Zbl 0869.65013Geitner, Uwe; Utke, Jean; Griewank, Andreas 1 1996 Nonsmooth optimization by successive abs-linearization in function spaces. Zbl 1486.90193Walther, Andrea; Weiß, Olga; Griewank, Andreas; Schmidt, Stephan 1 2022 Relaxing kink qualifications and proving convergence rates in piecewise smooth optimization. Zbl 1410.90252Griewank, Andreas; Walther, Andrea 5 2019 Characterizing and testing subdifferential regularity in piecewise smooth optimization. Zbl 1422.49016Walther, Andrea; Griewank, Andreas 4 2019 An algorithm for nonsmooth optimization by successive piecewise linearization. Zbl 1420.49015Fiege, Sabrina; Walther, Andrea; Griewank, Andreas 2 2019 Finite convergence of an active signature method to local minima of piecewise linear functions. Zbl 1428.90177Griewank, Andreas; Walther, Andrea 1 2019 High dimensional integration of kinks and jumps – smoothing by preintegration. Zbl 1460.65023Griewank, Andreas; Kuo, Frances Y.; Leövey, Hernan; Sloan, Ian H. 8 2018 Algorithmic differentiation for piecewise smooth functions: a case study for robust optimization. Zbl 1401.90168Fiege, Sabrina; Walther, Andrea; Kulshreshtha, Kshitij; Griewank, Andreas 3 2018 Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. Zbl 1401.65070Griewank, Andreas; Hasenfelder, Richard; Radons, Manuel; Lehmann, Lutz; Streubel, Tom 3 2018 Piecewise linear secant approximation via algorithmic piecewise differentiation. Zbl 1408.90322Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard 2 2018 On Lipschitz optimization based on gray-box piecewise linearization. Zbl 1350.49038Griewank, Andreas; Walther, Andrea; Fiege, Sabrina; Bosse, Torsten 13 2016 First- and second-order optimality conditions for piecewise smooth objective functions. Zbl 1385.90026Griewank, A.; Walther, A. 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 1308.90179Griewank, Andreas; Bernt, Jens-Uwe; Radons, Manuel; Streubel, Tom 19 2015 An algorithm for pointwise evaluation of polyconvex envelopes. II: generalization and numerical results. Zbl 1309.90114Bosse, T.; Eneya, L.; Griewank, A. 1 2015 One-shot approaches to design optimzation. Zbl 1327.90300Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Schulz, Volker 12 2014 Trends in PDE constrained optimization. Zbl 1306.49001 6 2014 Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. Zbl 1306.90150Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten 5 2014 Adaptive sequencing of primal, dual, and design steps in simulation based optimization. Zbl 1327.90301Bosse, Torsten; Lehmann, Lutz; Griewank, Andreas 4 2014 Quasi-Monte Carlo methods for lattice systems: a first look. Zbl 1360.81018Jansen, K.; Leovey, H.; Ammon, A.; Griewank, A.; Müller-Preussker, M. 3 2014 Representation and analysis of piecewise linear functions in abs-normal form. Zbl 1325.65087Streubel, Tom; Griewank, Andreas; Radons, Manuel; Bernt, Jens-Uwe 3 2014 Automatic evaluations of cross-derivatives. Zbl 1278.65022Griewank, Andreas; Lehmann, Lutz; Leovey, Hernan; Zilberman, Marat 3 2014 Optimal design with bounded retardation for problems with non-separable adjoints. Zbl 1332.49034Bosse, 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 1278.65021Griewank, Andreas 36 2013 A method for pointwise evaluation of polyconvex envelopes. Zbl 1260.49061Eneya, Levis; Bosse, Torsten; Griewank, Andreas 2 2013 Quantifying retardation in simulation based optimization. Zbl 1311.49068Griewank, Andreas; Hamdi, Adel; Özkaya, Emre 2 2013 Experiments with generalized midpoint and trapezoidal rules on two nonsmooth ODE’s. Zbl 1314.65092Boeck, P.; Gompil, B.; Griewank, A.; Hasenfelder, R.; Strogies, N. 1 2013 Broyden updating, the good and the bad! Zbl 1264.65078Griewank, Andreas 12 2012 Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001 10 2012 Automated extension of fixed point PDE solvers for optimal design with bounded retardation. Zbl 1356.49060Gauger, Nicolas; Griewank, Andreas; Hamdi, Adel; Kratzenstein, Claudia; Özkaya, Emre; Slawig, Thomas 5 2012 Who invented the reverse mode of differentiation? Zbl 1293.65035Griewank, Andreas 4 2012 On the numerical stability of algorithmic differentiation. Zbl 1238.65013Griewank, Andreas; Kulshreshtha, Kshitij; Walther, Andrea 4 2012 Parametric approach to optimal control. Zbl 1258.49048Radwan, A.; Vasilieva, O.; Enkhbat, R.; Griewank, A.; Guddat, J. 3 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 1251.90364Hamdi, Adel; Griewank, Andreas 11 2011 A continuous framework for open pit mine planning. Zbl 1209.49007Alvarez, Felipe; Amaya, Jorge; Griewank, Andreas; Strogies, Nikolai 2 2011 Duality results for stationary problems of open pit mine planning in a continuous function framework. Zbl 1222.49051Griewank, A.; Strogies, N. 1 2011 Properties of an augmented Lagrangian for design optimization. Zbl 1225.90124Hamdi, Adel; Griewank, Andreas 11 2010 On the local convergence of adjoint Broyden methods. Zbl 1185.90207Schlenkrich, Sebastian; Griewank, Andreas; Walther, Andrea 6 2010 Efficient accurate numerical treatment of the modified Burgers’ equation. Zbl 1167.35470Griewank, A.; El-Danaf, Talaat S. 9 2009 Evaluating derivatives. Principles and techniques of algorithmic differentiation. 2nd ed. Zbl 1159.65026Griewank, Andreas; Walther, Andrea 308 2008 Optimal \(r\)-order of an adjoint Broyden method without the assumption of linearly independent steps. Zbl 1211.90291Griewank, Andreas; Schlenkrich, Sebastian; Walther, Andrea 4 2008 Extension of fixed point PDE solvers for optimal design by one-shot method. With first applications to aerodynamic shape optimization. Zbl 1292.76058Gauger, Nicolas R.; Griewank, Andreas; Riehme, Jan 4 2008 Index determination in DAEs using the library indexnet and the ADOL-C package for algorithmic differentiation. Zbl 1152.65457Monett, Dagmar; Lamour, René; Griewank, Andreas 2 2008 Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. Zbl 1196.90130Griewank, Andreas; Walther, Andrea; Korzec, Maciek 7 2007 On the efficient update of rectangular LU-factorizations subject to low rank modifications. Zbl 1171.15309Stange, Peter; Griewank, Andreas; Bollhöfer, Matthias 5 2007 Projected Hessian for preconditioning in one-step one-shot design optimization. Zbl 1108.90040Griewank, Andreas 10 2006 Application of AD-based quasi-Newton methods to stiff ODEs. Zbl 1270.65035Schlenkrich, Sebastian; Walther, Andrea; Griewank, Andreas 5 2006 Reduction of storage requirement by checkpointing for time-dependent optimal control problems in ODEs. Zbl 1270.49041Sternberg, Julia; Griewank, Andreas 3 2006 Yury G. Evtushenko – a tribute (on the occasion of his 65th birthday). Zbl 1073.01515Burdakov, Oleg P.; Griewank, Andreas; Lotov, Alexander V. 3 2005 Approximating Jacobians by the TR2 formula. Zbl 1391.90640Griewank, Andreas; Korzec, Maciek 1 2005 Analysis and exploitation of Jacobian scarcity. Zbl 1065.65069Griewank, Andreas; Vogel, Olaf 1 2005 Advantages of binomial checkpointing for memory-reduced adjoint calculations. Zbl 1056.65064Walther, Andrea; Griewank, Andreas 5 2004 A mathematical view of automatic differentiation. Zbl 1047.65012Griewank, Andreas 15 2003 ADOL-C: automatic differentiation using operator overloading in C++. Zbl 1201.68161Walther, Andrea; Griewank, Andreas; Vogel, Olaf 5 2003 Piggyback differentiation and optimization. Zbl 1062.65054Griewank, Andreas; Faure, Christèle 3 2003 Accumulating Jacobians as chained sparse matrix products. Zbl 1023.90053Griewank, Andreas; Naumann, Uwe 3 2003 Introduction to automatic differentiation. Zbl 1201.68160Griewank, 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 14 2002 On constrained optimization by adjoint based quasi-Newton methods. Zbl 1065.90077Griewank, Andreas; Walther, Andrea 13 2002 Reduced functions, gradients and Hessians from fixed-point iterations for state equations. Zbl 1005.65025Griewank, Andreas; Faure, Christèle 11 2002 Direct gear tooth contact analysis for hypoid bevel gears. Zbl 1077.70002Vogel, O.; Griewank, A.; Bär, G. 9 2002 Detecting Jacobian sparsity patterns by Bayesian probing. Zbl 1012.65040Griewank, Andreas; Mitev, Christo 5 2002 Evaluating derivatives. Principles and techniques of algorithmic differentiation. Zbl 0958.65028Griewank, Andreas 184 2000 Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation. Zbl 1137.65330Griewank, Andreas; Walther, Andrea 66 2000 Evaluating higher derivative tensors by forward propagation of univariate Taylor series. Zbl 0952.65028Griewank, Andreas; Utke, Jean; Walther, Andrea 22 2000 Circumventing storage limitations in variational data assimilation studies. Zbl 0956.76078Restrepo, 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 0884.65015Griewank, Andreas; Juedes, David; Utke, Jean 98 1996 Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Zbl 0857.00033 21 1996 ODE solving via automatic differentiation and rational prediction. Zbl 0849.65049Griewank, A. 9 1996 The approximate solution of defining equations for generalized turning points. Zbl 0876.65030Griewank, A.; Reddien, G. W. 4 1996 ADOL-F: Automatic differentiation of Fortran codes. Zbl 0866.65019Shiriaev, Dmitri; Griewank, Andreas 3 1996 Tools for the automatic differentiation of computer programs. Zbl 0900.65042Bischof, Christian; Griewank, Andreas 1 1996 Automatic computation of sparse Jacobians by applying the method of Newsam and Ramsdell. Zbl 0869.65013Geitner, Uwe; Utke, Jean; Griewank, Andreas 1 1996 Automatic directional differentiation of nonsmooth composite functions. Zbl 0839.65024Griewank, Andreas 6 1995 Computing large sparse Jacobian matrices using automatic differentiation. Zbl 0799.65018Averick, 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 0968.90524Griewank, Andreas 16 1993 Approximate inverse preconditionings for sparse linear systems. Zbl 0762.65025Cosgrove, J. D. F.; Díaz, J. C.; Griewank, A. 34 1992 Generic aspects of convexification with applications to thermodynamic equilibrium. Zbl 0785.58013Rabier, P. J.; Griewank, A. 7 1992 ADIFOR: Automatic differentiation in a source translator environment. Zbl 0925.68231Bischof, 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 40 1991 The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients. Zbl 0736.90068Griewank, Andreas 26 1991 On the calculation of Jacobian matrices by the Markowitz rule. Zbl 0782.65027Griewank, Andreas; Reese, Shawn 7 1991 The equivalence of strict convexity and injectivity of the gradient in bounded level sets. Zbl 0738.49012Griewank, Andreas; Jongen, Hubertus Th.; Kwong, Man Kam 1 1991 On the smoothness of convex envelopes. Zbl 0712.49010Griewank, A.; Rabier, P. J. 36 1990 Direct calculation of Newton steps without accumulating Jacobians. Zbl 0726.90080Griewank, Andreas 3 1990 On automatic differentiation. Zbl 0696.65015Griewank, Andreas 37 1989 Computation of cusp singularities for operator equations and their discretizations. Zbl 0672.65031Griewank, Andreas; Reddien, George W. 14 1989 The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces. Zbl 0627.65067Griewank, Andreas 34 1987 Critical points of mixed fluids and their numerical treatment. Zbl 0635.76099Griewank, A.; Rabier, P. 2 1987 The ”global” convergence of Broyden-like methods with a suitable line search. Zbl 0596.65034Griewank, Andreas 59 1986 The approximation of generalized turning points by projection methods with superconvergence to the critical parameter. Zbl 0596.65040Griewank, A.; Reddien, G. W. 8 1986 Rates of convergence for secant methods on nonlinear problems in Hilbert space. Zbl 0607.65032Griewank, Andreas 3 1986 The solution of boundary value problems by Broyden based secant methods. Zbl 0622.65061Griewank, Andreas 2 1986 On solving nonlinear equations with simple singularities or nearly singular solutions. Zbl 0598.65026Griewank, A. 44 1985 Characterization and computation of generalized turning points. Zbl 0536.65031Griewank, A.; Reddien, G. W. 59 1984 On the existence of convex decompositions of partially separable functions. Zbl 0561.65045Griewank, A.; Toint, Ph. L. 10 1984 Numerical experiments with partially separable optimization problems. Zbl 0531.65033Griewank, A.; Toint, Ph. L. 10 1984 The calculation of Hopf points by a direct method. Zbl 0521.65070Griewank, A.; Reddien, G. 50 1983 Analysis of Newton’s method at irregular singularities. Zbl 0525.65025Griewank, A.; Osborne, M. R. 22 1983 Local convergence analysis for partitioned quasi-Newton updates. Zbl 0505.65018Griewank, A.; Toint, Ph. L. 55 1982 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,081 Authors 36 Griewank, Andreas 32 Walther, Andrea 19 Yuan, Gonglin 18 Gauger, Nicolas R. 14 Barton, Paul I. 14 Toint, Philippe L. 14 Wei, Zengxin 12 Charpentier, Isabelle 11 Bischof, Christian H. 10 Bücker, H. Martin 9 Khan, Kamil A. 8 Bock, Hans Georg 8 Hossain, Shahadat 8 Kimiaei, Morteza 8 Lukšan, Ladislav 8 Moret, Igor 8 Naumann, Uwe 8 Navon, Ionel Michael 8 Stechlinski, Peter G. 7 Bangerth, Wolfgang 7 Diehl, Moritz Mathias 7 Selland Kleppe, Tore 7 Pelteret, Jean-Paul 7 Skaug, Hans Julius 6 Arndt, Daniel 6 Attili, Basem S. 6 Bosse, Torsten 6 Govaerts, Willy J. F. 6 Heister, Timo 6 Heltai, Luca 6 Izmailov, Alekseĭ F. 6 Joshi, Mark S. 6 Koutsawa, Yao 6 Kronbichler, Martin 6 Leovey, Hernan 6 Li, Donghui 6 Maier, Matthias Sebastian 6 Mäkinen, Raino A. E. 6 Martínez, José Mario 6 Müller, Jens-Dominik 6 Röbenack, Klaus 6 Rump, Siegfried Michael 6 Sandu, Adrian 6 Steihaug, Trond 6 Turcksin, Bruno 5 Dussault, Jean-Pierre 5 Eriksson, Anders B. 5 Fischer, Andreas 5 Hoppe, Ronald H. 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