## Heinkenschloss, Matthias

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 Author ID: heinkenschloss.matthias Published as: Heinkenschloss, Matthias; Heinkenschloss, M.
 Documents Indexed: 54 Publications since 1991 8 Contributions as Editor Reviewing Activity: 24 Reviews Co-Authors: 57 Co-Authors with 55 Joint Publications 2,271 Co-Co-Authors
all top 5

### Co-Authors

 7 single-authored 7 van Bloemen Waanders, Bart G. 6 Ridzal, Denis 5 Antil, Harbir 5 Hoppe, Ronald H. W. 4 Biegler, Lorenz T. 4 Ghattas, Omar N. 4 Sorensen, Danny C. 4 Ulbrich, Michael 4 Ulbrich, Stefan 3 Cliff, Eugene M. 3 Herty, Michael Matthias 3 Schulz, Volker H. 3 Shenoy, Ajit R. 3 Vicente, Luis Nunes 2 Antoulas, Athanasios C. 2 Benner, Peter 2 Collis, S. Scott 2 Ghayour, Kaveh 2 Herzog, Roland 2 Jando, Dörte 2 Kalise, Dante 2 Keyes, David Elliot 2 Kouri, Drew P. 2 Krämer, Boris 2 Leykekhman, Dmitriy 2 Nguyen, Hoang Q. 2 Saak, Jens 2 Sachs, Ekkehard W. 2 Sun, Kai 2 Takhtaganov, Timur 2 Trélat, Emmanuel 2 Weichelt, Heiko K. 2 Willcox, Karen E. 1 Bambach, Markus 1 Bartlett, Roscoe A. 1 Battermann, Astrid 1 Berggren, Martin 1 Biros, George 1 Dennis, John E. jun. 1 Glowinski, Roland 1 Gosea, Ion Victor 1 Gunzburger, Max D. 1 Hardesty, Sean 1 Karasözen, Bülent 1 Kelley, Carl T. 1 Laumen, Manfred 1 Lee, Hyesuk Kwon 1 Linsenmann, Christopher 1 Mallick, Bani K. 1 Marzouk, Youssef M. 1 Reis, Timo 1 Stadler, Georg 1 Standler, Georg 1 Tenorio, Luis 1 Tröltzsch, Fredi 1 Wixforth, Achim 1 Yücel, Hamdullah
all top 5

### Serials

 5 SIAM Journal on Scientific Computing 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Optimization 3 SIAM Journal on Control and Optimization 3 Oberwolfach Reports 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Mathematical Programming. Series A. Series B 2 Optimization Methods & Software 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Automatica 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Lecture Notes in Computational Science and Engineering 1 Computational Science & Engineering 1 Radon Series on Computational and Applied Mathematics
all top 5

### Fields

 40 Numerical analysis (65-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 22 Operations research, mathematical programming (90-XX) 12 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 8 General and overarching topics; collections (00-XX) 8 Systems theory; control (93-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

53 Publications have been cited 720 times in 548 Documents Cited by Year
Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. Zbl 1216.76015
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai
2008
Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption. Zbl 0945.49023
Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan
1999
A trust-region algorithm with adaptive stochastic collocation for PDE optimization under uncertainty. Zbl 1275.49047
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G.
2013
Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137
Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N.
1998
Analysis of inexact trust-region SQP algorithms. Zbl 1035.90104
Heinkenschloss, Matthias; Vicente, Luis N.
2001
A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. Zbl 1075.65091
Heinkenschloss, Matthias
2005
Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1218.49036
Heinkenschloss, Matthias; Leykekhman, Dmitriy
2010
Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty. Zbl 1312.49033
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G.
2014
Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1253.49018
Leykekhman, Dmitriy; Heinkenschloss, Matthias
2012
Balanced truncation model reduction for systems with inhomogeneous initial conditions. Zbl 1216.93018
Heinkenschloss, M.; Reis, T.; Antoulas, A. C.
2011
Large-scale PDE-constrained optimization. Zbl 1021.00015
2003
Optimal control of unsteady compressible viscous flows. Zbl 1025.76045
Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan
2002
Fast algorithms for nonsmooth compact fixed-point problems. Zbl 0763.65040
Heinkenschloss, M.; Kelley, C. T.; Tran, H. T.
1992
Real-time PDE-constrained optimization. Zbl 1117.49004
2007
Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500
Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart
2003
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W.
2011
A matrix-free trust-region SQP method for equality constrained optimization. Zbl 1316.90064
Heinkenschloss, Matthias; Ridzal, Denis
2014
Global convergence of trust-region interior-point algorithms for infinite-dimensional nonconvex minimization subject to pointwise bounds. Zbl 1111.90368
Ulbrich, Michael; Ulbrich, Stefan; Heinkenschloss, Matthias
1999
Formulation and analysis of a sequential quadratic programming method for the optimal Dirichlet boundary control of Navier-Stokes flow. Zbl 0924.76021
Heinkenschloss, Matthias
1998
Preconditioners for Karush-Kuhn-Tucker matrices arising in the optimal control of distributed systems. Zbl 0909.49015
Battermann, A.; Heinkenschloss, M.
1998
Airfoil design by an all-at-once method. Zbl 0940.76084
Shenoy, A.; Heinkenschloss, M.; Cliff, E. M.
1998
Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002
2011
Solution of elliptic partial differential equations by an optimization-based domain decomposition method. Zbl 1023.65126
Gunzburger, Max D.; Heinkenschloss, Matthias; Lee, Hyesuk Kwon
2000
Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023
Heinkenschloss, Matthias; Tröltzsch, Fredi
1999
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
2010
Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076
Yücel, H.; Heinkenschloss, M.; Karasözen, B.
2013
Neumann-Neumann domain decomposition preconditioners for linear-quadratic elliptic optimal control problems. Zbl 1120.49025
Heinkenschloss, Matthias; Nguyen, Hoang
2006
An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations. Zbl 1346.65017
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
2016
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C.
2014
A spatial domain decomposition method for parabolic optimal control problems. Zbl 1117.65099
Heinkenschloss, Matthias; Herty, Michael
2007
Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems. Zbl 1121.49031
Bartlett, Roscoe A.; Heinkenschloss, Matthias; Ridzal, Denis; van Bloemen Waanders, Bart G.
2006
Mesh independence for nonlinear least squares problems with norm constraints. Zbl 0771.65030
Heinkenschloss, Matthias
1993
On the solution of a two ball trust region subproblem. Zbl 0819.90067
Heinkenschloss, M.
1994
Projected sequential quadratic programming methods. Zbl 0861.49025
Heinkenschloss, Matthias
1996
An optimal control problem for flows with discontinuities. Zbl 0891.49018
Cliff, E. M.; Heinkenschloss, M.; Shenoy, A. R.
1997
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim
2012
The numerical solution of a control problem governed by a phase field model. Zbl 0891.49017
Heinkenschloss, Matthias
1997
An interface between optimization and application for the numerical solution of optimal control problems. Zbl 0961.65061
Heinkenschloss, Matthias; Vicente, Luís N.
1999
Numerical solution of optimal control problems governed by the compressible Navier–Stokes equations. Zbl 1024.49027
Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan
2002
Balancing Neumann-Neumann methods for elliptic optimal control problems. Zbl 1066.65072
Heinkenschloss, Matthias; Nguyen, Hoang
2005
Conditional-value-at-risk estimation via reduced-order models. Zbl 1405.35263
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur; Willcox, Karen
2018
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C.
2008
An inexact trust-region SQP method with applications to PDE-constrained optimizaton. Zbl 1157.65385
Heinkenschloss, M.; Ridzal, D.
2008
A method for model identification and parameter estimation. Zbl 1334.65187
Bambach, M.; Heinkenschloss, M.; Herty, M.
2013
Reduced order modeling for time-dependent optimization problems with initial value controls. Zbl 1386.49041
Heinkenschloss, Matthias; Jando, Dörte
2018
Parallel solution of optimal-control problems by time-domain decomposition. Zbl 0911.65053
Berggren, Martin; Heinkenschloss, Matthias
1997
Adjoint-based methods in aerodynamic design optimization. Zbl 0988.76083
Cliff, Eugene M.; Heinkenschloss, Matthias; Shenoy, Ajit R.
1998
Adaptive reduced-order model construction for conditional value-at-risk estimation. Zbl 1443.62152
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur
2020
Integration of sequential quadratic programming and domain decomposition methods for nonlinear optimal control problems. Zbl 1140.65333
Heinkenschloss, Matthias; Ridzal, Denis
2008
Shape optimization of shell structure acoustics. Zbl 1362.74022
Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias
2017
Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method. Zbl 1462.76142
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
2020
A trust region method for norm constrained problems. Zbl 0912.90255
Heinkenschloss, Matthias
1998
Numerical solution of a constrained control problem for a phase field model. Zbl 0809.49026
Heinkenschloss, M.; Sachs, E. W.
1994
Adaptive reduced-order model construction for conditional value-at-risk estimation. Zbl 1443.62152
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur
2020
Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method. Zbl 1462.76142
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
2020
Conditional-value-at-risk estimation via reduced-order models. Zbl 1405.35263
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur; Willcox, Karen
2018
Reduced order modeling for time-dependent optimization problems with initial value controls. Zbl 1386.49041
Heinkenschloss, Matthias; Jando, Dörte
2018
Shape optimization of shell structure acoustics. Zbl 1362.74022
Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias
2017
An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations. Zbl 1346.65017
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
2016
Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty. Zbl 1312.49033
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G.
2014
A matrix-free trust-region SQP method for equality constrained optimization. Zbl 1316.90064
Heinkenschloss, Matthias; Ridzal, Denis
2014
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C.
2014
A trust-region algorithm with adaptive stochastic collocation for PDE optimization under uncertainty. Zbl 1275.49047
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G.
2013
Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076
Yücel, H.; Heinkenschloss, M.; Karasözen, B.
2013
A method for model identification and parameter estimation. Zbl 1334.65187
Bambach, M.; Heinkenschloss, M.; Herty, M.
2013
Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1253.49018
Leykekhman, Dmitriy; Heinkenschloss, Matthias
2012
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim
2012
Balanced truncation model reduction for systems with inhomogeneous initial conditions. Zbl 1216.93018
Heinkenschloss, M.; Reis, T.; Antoulas, A. C.
2011
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W.
2011
Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002
2011
Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1218.49036
Heinkenschloss, Matthias; Leykekhman, Dmitriy
2010
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
2010
Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. Zbl 1216.76015
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai
2008
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C.
2008
An inexact trust-region SQP method with applications to PDE-constrained optimizaton. Zbl 1157.65385
Heinkenschloss, M.; Ridzal, D.
2008
Integration of sequential quadratic programming and domain decomposition methods for nonlinear optimal control problems. Zbl 1140.65333
Heinkenschloss, Matthias; Ridzal, Denis
2008
Real-time PDE-constrained optimization. Zbl 1117.49004
2007
A spatial domain decomposition method for parabolic optimal control problems. Zbl 1117.65099
Heinkenschloss, Matthias; Herty, Michael
2007
Neumann-Neumann domain decomposition preconditioners for linear-quadratic elliptic optimal control problems. Zbl 1120.49025
Heinkenschloss, Matthias; Nguyen, Hoang
2006
Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems. Zbl 1121.49031
Bartlett, Roscoe A.; Heinkenschloss, Matthias; Ridzal, Denis; van Bloemen Waanders, Bart G.
2006
A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. Zbl 1075.65091
Heinkenschloss, Matthias
2005
Balancing Neumann-Neumann methods for elliptic optimal control problems. Zbl 1066.65072
Heinkenschloss, Matthias; Nguyen, Hoang
2005
Large-scale PDE-constrained optimization. Zbl 1021.00015
2003
Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500
Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart
2003
Optimal control of unsteady compressible viscous flows. Zbl 1025.76045
Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan
2002
Numerical solution of optimal control problems governed by the compressible Navier–Stokes equations. Zbl 1024.49027
Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan
2002
Analysis of inexact trust-region SQP algorithms. Zbl 1035.90104
Heinkenschloss, Matthias; Vicente, Luis N.
2001
Solution of elliptic partial differential equations by an optimization-based domain decomposition method. Zbl 1023.65126
Gunzburger, Max D.; Heinkenschloss, Matthias; Lee, Hyesuk Kwon
2000
Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption. Zbl 0945.49023
Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan
1999
Global convergence of trust-region interior-point algorithms for infinite-dimensional nonconvex minimization subject to pointwise bounds. Zbl 1111.90368
Ulbrich, Michael; Ulbrich, Stefan; Heinkenschloss, Matthias
1999
Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023
Heinkenschloss, Matthias; Tröltzsch, Fredi
1999
An interface between optimization and application for the numerical solution of optimal control problems. Zbl 0961.65061
Heinkenschloss, Matthias; Vicente, Luís N.
1999
Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137
Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N.
1998
Formulation and analysis of a sequential quadratic programming method for the optimal Dirichlet boundary control of Navier-Stokes flow. Zbl 0924.76021
Heinkenschloss, Matthias
1998
Preconditioners for Karush-Kuhn-Tucker matrices arising in the optimal control of distributed systems. Zbl 0909.49015
Battermann, A.; Heinkenschloss, M.
1998
Airfoil design by an all-at-once method. Zbl 0940.76084
Shenoy, A.; Heinkenschloss, M.; Cliff, E. M.
1998
Adjoint-based methods in aerodynamic design optimization. Zbl 0988.76083
Cliff, Eugene M.; Heinkenschloss, Matthias; Shenoy, Ajit R.
1998
A trust region method for norm constrained problems. Zbl 0912.90255
Heinkenschloss, Matthias
1998
An optimal control problem for flows with discontinuities. Zbl 0891.49018
Cliff, E. M.; Heinkenschloss, M.; Shenoy, A. R.
1997
The numerical solution of a control problem governed by a phase field model. Zbl 0891.49017
Heinkenschloss, Matthias
1997
Parallel solution of optimal-control problems by time-domain decomposition. Zbl 0911.65053
Berggren, Martin; Heinkenschloss, Matthias
1997
Projected sequential quadratic programming methods. Zbl 0861.49025
Heinkenschloss, Matthias
1996
On the solution of a two ball trust region subproblem. Zbl 0819.90067
Heinkenschloss, M.
1994
Numerical solution of a constrained control problem for a phase field model. Zbl 0809.49026
Heinkenschloss, M.; Sachs, E. W.
1994
Mesh independence for nonlinear least squares problems with norm constraints. Zbl 0771.65030
Heinkenschloss, Matthias
1993
Fast algorithms for nonsmooth compact fixed-point problems. Zbl 0763.65040
Heinkenschloss, M.; Kelley, C. T.; Tran, H. T.
1992
all top 5

### Cited by 856 Authors

 24 Benner, Peter 17 Heinkenschloss, Matthias 12 Karasözen, Bülent 11 Kouri, Drew P. 11 Kunisch, Karl 9 Saak, Jens 9 Yücel, Hamdullah 8 Gugercin, Serkan 8 Stoll, Martin 7 Chen, Xiaojun 7 Ghattas, Omar N. 7 Volkwein, Stefan 6 Bellavia, Stefania 6 Morini, Benedetta 6 Surowiec, Thomas 6 Ulbrich, Stefan 6 Uzunca, Murat 5 Antil, Harbir 5 Beattie, Christopher A. 5 Gauger, Nicolas R. 5 Hintermüller, Michael 5 Kürschner, Patrick 5 Singler, John R. 5 Tröltzsch, Fredi 5 Vicente, Luis Nunes 5 Zhang, Yangwen 5 Zhou, Zhaojie 5 Zhu, Detong 4 Biros, George 4 Bochev, Pavel B. 4 Cai, Xiao-Chuan 4 Chen, Peng 4 Choi, Youngsoo 4 Curtis, Frank E. 4 De los Reyes, Juan Carlos 4 Gondzio, Jacek 4 Götschel, Sebastian 4 Hoppe, Ronald H. W. 4 Hu, Weiwei 4 Jiang, Yaolin 4 Kelley, Carl T. 4 Manzoni, Andrea 4 Navon, Ionel Michael 4 Schiela, Anton 4 Toint, Philippe L. 4 Ulbrich, Michael 4 Vandewalle, Stefan G. 4 Walther, Andrea 4 Weiser, Martin 4 Willcox, Karen E. 3 Abdelwahed, Mohamed 3 Airiau, Christophe 3 Akman, Tuğba 3 Allendes, Alejandro 3 Antoulas, Athanasios C. 3 Biegler, Lorenz T. 3 Breiten, Tobias 3 Buchot, Jean-Marie 3 Bui-Thanh, Tan 3 Bujanović, Zvonimir 3 Carlberg, Kevin T. 3 Davatzikos, Christos 3 D’Elia, Marta 3 Farahi, Mohammad Hadi 3 Ge, Liang 3 Geiersbach, Caroline 3 Gholami, Amir 3 Ghomanjani, Fateme 3 Haber, Eldad 3 Hager, William W. 3 Hassine, Maatoug 3 Heiland, Jan 3 Henrion, René 3 Herty, Michael Matthias 3 Jbilou, Khalide 3 Kanzow, Christian 3 Kawahara, Mutsuto 3 Koko, Jonas 3 Küçükseyhan, Tuğba 3 Kwok, Felix 3 Leugering, Günter 3 Maksimov, Vyacheslav Ivanovich 3 Mang, Andreas 3 Moroşanu, Costică 3 Nocedal, Jorge 3 Orban, Dominique 3 Otárola, Enrique 3 Pagani, Stefano 3 Pearson, John W. 3 Porcelli, Margherita 3 Potschka, Andreas 3 Qi, Liqun 3 Quarteroni, Alfio M. 3 Ridzal, Denis 3 Salahi, Maziar 3 Saunders, Michael A. 3 Stadler, Georg 3 Uddin, Mohammad Monir 3 Valkonen, Tuomo 3 Wang, Xiao ...and 756 more Authors
all top 5

### Cited in 140 Serials

 32 SIAM Journal on Scientific Computing 27 Journal of Computational and Applied Mathematics 25 Computational Optimization and Applications 23 Computer Methods in Applied Mechanics and Engineering 22 Optimization Methods & Software 18 Journal of Computational Physics 18 Mathematical Programming. Series A. Series B 15 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 15 Journal of Optimization Theory and Applications 13 SIAM Journal on Control and Optimization 13 Applied Numerical Mathematics 13 SIAM Journal on Optimization 12 Journal of Scientific Computing 10 SIAM/ASA Journal on Uncertainty Quantification 9 Computers and Fluids 8 Systems & Control Letters 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Numerical Functional Analysis and Optimization 7 Optimization and Engineering 6 International Journal for Numerical Methods in Engineering 6 SIAM Journal on Numerical Analysis 6 Numerical Algorithms 6 Advances in Computational Mathematics 5 Numerische Mathematik 5 International Journal of Computer Mathematics 4 Automatica 4 Mathematics and Computers in Simulation 4 SIAM Journal on Matrix Analysis and Applications 4 Numerical Linear Algebra with Applications 3 Inverse Problems 3 Calcolo 3 Optimal Control Applications & Methods 3 Numerical Methods for Partial Differential Equations 3 Journal of Global Optimization 3 Linear Algebra and its Applications 3 Journal of Mathematical Imaging and Vision 3 Computational and Applied Mathematics 3 Computing and Visualization in Science 3 International Journal of Computational Fluid Dynamics 3 Acta Numerica 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GAMM-Mitteilungen 3 Inverse Problems and Imaging 3 Numerical Algebra, Control and Optimization 2 International Journal of Control 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 BIT 2 Computing 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asia-Pacific Journal of Operational Research 2 Applied Mathematics Letters 2 Physics of Fluids 2 Turkish Journal of Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematical Problems in Engineering 2 Mathematical and Computer Modelling of Dynamical Systems 2 Acta Mathematica Sinica. English Series 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 Optimization Letters 2 Communications in Computational Physics 2 SIAM Journal on Imaging Sciences 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Transport Theory and Statistical Physics 1 ACM Transactions on Mathematical Software 1 Information Sciences 1 Journal of Differential Equations 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Bulletin of the Iranian Mathematical Society 1 Optimization 1 Journal of Complexity 1 Computational Mechanics 1 COMPEL 1 Journal of Economic Dynamics & Control 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 International Journal of Robust and Nonlinear Control 1 Continuum Mechanics and Thermodynamics ...and 40 more Serials
all top 5

### Cited in 32 Fields

 340 Numerical analysis (65-XX) 247 Calculus of variations and optimal control; optimization (49-XX) 171 Operations research, mathematical programming (90-XX) 125 Partial differential equations (35-XX) 86 Systems theory; control (93-XX) 83 Fluid mechanics (76-XX) 21 Mechanics of deformable solids (74-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Computer science (68-XX) 17 Biology and other natural sciences (92-XX) 15 Probability theory and stochastic processes (60-XX) 14 Statistics (62-XX) 12 Information and communication theory, circuits (94-XX) 7 Optics, electromagnetic theory (78-XX) 6 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 6 Geophysics (86-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)