Edit Profile (opens in new tab) Heinkenschloss, Matthias Co-Author Distance Author ID: heinkenschloss.matthias Published as: Heinkenschloss, Matthias; Heinkenschloss, M. Documents Indexed: 59 Publications since 1991, including 2 Additional arXiv Preprints 7 Contributions as Editor Reviewing Activity: 24 Reviews Co-Authors: 59 Co-Authors with 59 Joint Publications 2,776 Co-Co-Authors all top 5 Co-Authors 7 single-authored 6 Ridzal, Denis 6 van Bloemen Waanders, Bart G. 5 Antil, Harbir 5 Hoppe, Ronald H. W. 4 Biegler, Lorenz T. 4 Diaz, Alejandro N. 4 Ghattas, Omar N. 4 Sorensen, Danny C. 4 Ulbrich, Michael 4 Ulbrich, Stefan 3 Antoulas, Athanasios C. 3 Cliff, Eugene M. 3 Herty, Michael Matthias 3 Schulz, Volker H. 3 Shenoy, Ajit R. 3 Vicente, Luis Nunes 2 Benner, Peter 2 Choi, Youngsoo 2 Collis, S. Scott 2 Ghayour, Kaveh 2 Gosea, Ion Victor 2 Jando, Dörte 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 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 Gunzburger, Max D. 1 Hardesty, Sean 1 Herzog, Roland 1 Kalise, Dante 1 Karasözen, Bülent 1 Kelley, Carl T. 1 Laumen, Manfred 1 Lee, Hyesuk Kwon 1 Linsenmann, Christopher 1 Magruder, Caleb C. 1 Mallick, Bani K. 1 Marzouk, Youssef M. 1 Reis, Timo 1 Stadler, Georg 1 Tenorio, Luis 1 Trélat, Emmanuel 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 Advances in Computational Mathematics 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 41 Numerical analysis (65-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 22 Operations research, mathematical programming (90-XX) 13 Fluid mechanics (76-XX) 12 Partial differential equations (35-XX) 9 Systems theory; control (93-XX) 7 General and overarching topics; collections (00-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 913 times in 670 Documents Cited by ▼ Year ▼ 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. 58 2013 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 53 2008 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. 42 2014 A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. Zbl 1075.65091 Heinkenschloss, Matthias 41 2005 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 40 1999 Analysis of inexact trust-region SQP algorithms. Zbl 1035.90104 Heinkenschloss, Matthias; Vicente, Luis N. 38 2001 Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137 Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N. 37 1998 Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1218.49036 Heinkenschloss, Matthias; Leykekhman, Dmitriy 31 2010 Balanced truncation model reduction for systems with inhomogeneous initial conditions. Zbl 1216.93018 Heinkenschloss, M.; Reis, T.; Antoulas, A. C. 30 2011 Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1253.49018 Leykekhman, Dmitriy; Heinkenschloss, Matthias 29 2012 Large-scale PDE-constrained optimization. Zbl 1021.00015 28 2003 Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002 27 2011 Real-time PDE-constrained optimization. Zbl 1117.49004 24 2007 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. 23 2011 Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500 Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart 22 2003 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. 22 2010 Airfoil design by an all-at-once method. Zbl 0940.76084 Shenoy, A.; Heinkenschloss, M.; Cliff, E. M. 19 1998 Optimal control of unsteady compressible viscous flows. Zbl 1025.76045 Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan 19 2002 A matrix-free trust-region SQP method for equality constrained optimization. Zbl 1316.90064 Heinkenschloss, Matthias; Ridzal, Denis 19 2014 Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076 Yücel, H.; Heinkenschloss, M.; Karasözen, B. 19 2013 Fast algorithms for nonsmooth compact fixed-point problems. Zbl 0763.65040 Heinkenschloss, M.; Kelley, C. T.; Tran, H. T. 18 1992 Preconditioners for Karush-Kuhn-Tucker matrices arising in the optimal control of distributed systems. Zbl 0909.49015 Battermann, A.; Heinkenschloss, M. 17 1998 Solution of elliptic partial differential equations by an optimization-based domain decomposition method. Zbl 1023.65126 Gunzburger, Max D.; Heinkenschloss, Matthias; Lee, Hyesuk Kwon 17 2000 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 17 1999 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. 16 2014 Neumann-Neumann domain decomposition preconditioners for linear-quadratic elliptic optimal control problems. Zbl 1120.49025 Heinkenschloss, Matthias; Nguyen, Hoang 15 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. 15 2016 Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023 Heinkenschloss, Matthias; Tröltzsch, Fredi 14 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 14 1998 A spatial domain decomposition method for parabolic optimal control problems. Zbl 1117.65099 Heinkenschloss, Matthias; Herty, Michael 13 2007 Mesh independence for nonlinear least squares problems with norm constraints. Zbl 0771.65030 Heinkenschloss, Matthias 12 1993 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. 10 2006 Projected sequential quadratic programming methods. Zbl 0861.49025 Heinkenschloss, Matthias 10 1996 On the solution of a two ball trust region subproblem. Zbl 0819.90067 Heinkenschloss, M. 10 1994 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 9 2012 An optimal control problem for flows with discontinuities. Zbl 0891.49018 Cliff, E. M.; Heinkenschloss, M.; Shenoy, A. R. 8 1997 Adaptive reduced-order model construction for conditional value-at-risk estimation. Zbl 1443.62152 Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur 8 2020 Conditional-value-at-risk estimation via reduced-order models. Zbl 1405.35263 Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur; Willcox, Karen 8 2018 The numerical solution of a control problem governed by a phase field model. Zbl 0891.49017 Heinkenschloss, Matthias 7 1997 An interface between optimization and application for the numerical solution of optimal control problems. Zbl 0961.65061 Heinkenschloss, Matthias; Vicente, Luís N. 6 1999 Balancing Neumann-Neumann methods for elliptic optimal control problems. Zbl 1066.65072 Heinkenschloss, Matthias; Nguyen, Hoang 6 2005 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 6 2002 Parallel solution of optimal-control problems by time-domain decomposition. Zbl 0911.65053 Berggren, Martin; Heinkenschloss, Matthias 4 1997 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445 Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 4 2008 An inexact trust-region SQP method with applications to PDE-constrained optimizaton. Zbl 1157.65385 Heinkenschloss, M.; Ridzal, D. 4 2008 Shape optimization of shell structure acoustics. Zbl 1362.74022 Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias 4 2017 A method for model identification and parameter estimation. Zbl 1334.65187 Bambach, M.; Heinkenschloss, M.; Herty, M. 4 2013 Integration of sequential quadratic programming and domain decomposition methods for nonlinear optimal control problems. Zbl 1140.65333 Heinkenschloss, Matthias; Ridzal, Denis 3 2008 Adjoint-based methods in aerodynamic design optimization. Zbl 0988.76083 Cliff, Eugene M.; Heinkenschloss, Matthias; Shenoy, Ajit R. 3 1998 Reduced order modeling for time-dependent optimization problems with initial value controls. Zbl 1386.49041 Heinkenschloss, Matthias; Jando, Dörte 3 2018 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. 2 2020 A trust region method for norm constrained problems. Zbl 0912.90255 Heinkenschloss, Matthias 1 1998 Numerical solution of a constrained control problem for a phase field model. Zbl 0809.49026 Heinkenschloss, M.; Sachs, E. W. 1 1994 Data-driven model reduction for a class of semi-explicit DAEs using the Loewner framework. Zbl 1453.65199 Antoulas, Athanasios C.; Gosea, Ion Victor; Heinkenschloss, Matthias 1 2020 Towards data-driven model reduction of the Navier-Stokes equations using the Loewner framework. Zbl 1505.76073 Diaz, Alejandro N.; Heinkenschloss, Matthias 1 2022 Reduced order model Hessian approximations in Newton methods for optimal control. Zbl 1504.93041 Heinkenschloss, Matthias; Magruder, Caleb 1 2022 Towards data-driven model reduction of the Navier-Stokes equations using the Loewner framework. Zbl 1505.76073 Diaz, Alejandro N.; Heinkenschloss, Matthias 1 2022 Reduced order model Hessian approximations in Newton methods for optimal control. Zbl 1504.93041 Heinkenschloss, Matthias; Magruder, Caleb 1 2022 Adaptive reduced-order model construction for conditional value-at-risk estimation. Zbl 1443.62152 Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur 8 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. 2 2020 Data-driven model reduction for a class of semi-explicit DAEs using the Loewner framework. Zbl 1453.65199 Antoulas, Athanasios C.; Gosea, Ion Victor; Heinkenschloss, Matthias 1 2020 Conditional-value-at-risk estimation via reduced-order models. Zbl 1405.35263 Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur; Willcox, Karen 8 2018 Reduced order modeling for time-dependent optimization problems with initial value controls. Zbl 1386.49041 Heinkenschloss, Matthias; Jando, Dörte 3 2018 Shape optimization of shell structure acoustics. Zbl 1362.74022 Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias 4 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. 15 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. 42 2014 A matrix-free trust-region SQP method for equality constrained optimization. Zbl 1316.90064 Heinkenschloss, Matthias; Ridzal, Denis 19 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. 16 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. 58 2013 Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. Zbl 1267.65076 Yücel, H.; Heinkenschloss, M.; Karasözen, B. 19 2013 A method for model identification and parameter estimation. Zbl 1334.65187 Bambach, M.; Heinkenschloss, M.; Herty, M. 4 2013 Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1253.49018 Leykekhman, Dmitriy; Heinkenschloss, Matthias 29 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 9 2012 Balanced truncation model reduction for systems with inhomogeneous initial conditions. Zbl 1216.93018 Heinkenschloss, M.; Reis, T.; Antoulas, A. C. 30 2011 Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002 27 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. 23 2011 Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems. Zbl 1218.49036 Heinkenschloss, Matthias; Leykekhman, Dmitriy 31 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. 22 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 53 2008 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445 Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 4 2008 An inexact trust-region SQP method with applications to PDE-constrained optimizaton. Zbl 1157.65385 Heinkenschloss, M.; Ridzal, D. 4 2008 Integration of sequential quadratic programming and domain decomposition methods for nonlinear optimal control problems. Zbl 1140.65333 Heinkenschloss, Matthias; Ridzal, Denis 3 2008 Real-time PDE-constrained optimization. Zbl 1117.49004 24 2007 A spatial domain decomposition method for parabolic optimal control problems. Zbl 1117.65099 Heinkenschloss, Matthias; Herty, Michael 13 2007 Neumann-Neumann domain decomposition preconditioners for linear-quadratic elliptic optimal control problems. Zbl 1120.49025 Heinkenschloss, Matthias; Nguyen, Hoang 15 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. 10 2006 A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. Zbl 1075.65091 Heinkenschloss, Matthias 41 2005 Balancing Neumann-Neumann methods for elliptic optimal control problems. Zbl 1066.65072 Heinkenschloss, Matthias; Nguyen, Hoang 6 2005 Large-scale PDE-constrained optimization. Zbl 1021.00015 28 2003 Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500 Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart 22 2003 Optimal control of unsteady compressible viscous flows. Zbl 1025.76045 Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan 19 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 6 2002 Analysis of inexact trust-region SQP algorithms. Zbl 1035.90104 Heinkenschloss, Matthias; Vicente, Luis N. 38 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 17 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 40 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 17 1999 Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023 Heinkenschloss, Matthias; Tröltzsch, Fredi 14 1999 An interface between optimization and application for the numerical solution of optimal control problems. Zbl 0961.65061 Heinkenschloss, Matthias; Vicente, Luís N. 6 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. 37 1998 Airfoil design by an all-at-once method. Zbl 0940.76084 Shenoy, A.; Heinkenschloss, M.; Cliff, E. M. 19 1998 Preconditioners for Karush-Kuhn-Tucker matrices arising in the optimal control of distributed systems. Zbl 0909.49015 Battermann, A.; Heinkenschloss, M. 17 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 14 1998 Adjoint-based methods in aerodynamic design optimization. Zbl 0988.76083 Cliff, Eugene M.; Heinkenschloss, Matthias; Shenoy, Ajit R. 3 1998 A trust region method for norm constrained problems. Zbl 0912.90255 Heinkenschloss, Matthias 1 1998 An optimal control problem for flows with discontinuities. Zbl 0891.49018 Cliff, E. M.; Heinkenschloss, M.; Shenoy, A. R. 8 1997 The numerical solution of a control problem governed by a phase field model. Zbl 0891.49017 Heinkenschloss, Matthias 7 1997 Parallel solution of optimal-control problems by time-domain decomposition. Zbl 0911.65053 Berggren, Martin; Heinkenschloss, Matthias 4 1997 Projected sequential quadratic programming methods. Zbl 0861.49025 Heinkenschloss, Matthias 10 1996 On the solution of a two ball trust region subproblem. Zbl 0819.90067 Heinkenschloss, M. 10 1994 Numerical solution of a constrained control problem for a phase field model. Zbl 0809.49026 Heinkenschloss, M.; Sachs, E. W. 1 1994 Mesh independence for nonlinear least squares problems with norm constraints. Zbl 0771.65030 Heinkenschloss, Matthias 12 1993 Fast algorithms for nonsmooth compact fixed-point problems. Zbl 0763.65040 Heinkenschloss, M.; Kelley, C. T.; Tran, H. T. 18 1992 all cited Publications top 5 cited Publications all top 5 Cited by 1,055 Authors 28 Benner, Peter 20 Heinkenschloss, Matthias 16 Kouri, Drew P. 12 Karasözen, Bülent 11 Kunisch, Karl 11 Yücel, Hamdullah 10 Gugercin, Serkan 10 Saak, Jens 9 Antil, Harbir 9 Ghattas, Omar N. 9 Stoll, Martin 9 Surowiec, Thomas 7 Beattie, Christopher A. 7 Chen, Xiaojun 7 Choi, Youngsoo 7 Gauger, Nicolas R. 7 Hintermüller, Michael 7 Volkwein, Stefan 6 Bellavia, Stefania 6 Bochev, Pavel B. 6 Chen, Peng 6 Hassine, Maatoug 6 Heiland, Jan 6 Morini, Benedetta 6 Ulbrich, Michael 6 Ulbrich, Stefan 6 Uzunca, Murat 5 D’Elia, Marta 5 Geiersbach, Caroline 5 Hoppe, Ronald H. W. 5 Hu, Weiwei 5 Jiang, Yaolin 5 Khan, Akhtar Ali 5 Kürschner, Patrick 5 Liu, Jun 5 Manzoni, Andrea 5 Milz, Johannes 5 Ridzal, Denis 5 Sama, Miguel 5 Schiela, Anton 5 Singler, John R. 5 Toint, Philippe Louis 5 Tröltzsch, Fredi 5 Vandewalle, Stefan G. 5 Vicente, Luis Nunes 5 Willcox, Karen E. 5 Zahr, Matthew J. 5 Zhang, Yangwen 5 Zhou, Zhaojie 5 Zhu, Detong 4 Antoulas, Athanasios C. 4 Biros, George 4 Breiten, Tobias 4 Bui-Thanh, Tan 4 Cai, Xiao-Chuan 4 Curtis, Frank E. 4 De los Reyes, Juan Carlos 4 Gondzio, Jacek 4 Götschel, Sebastian 4 Günther, Stefanie 4 Gunzburger, Max D. 4 Jadamba, Baasansuren 4 Kelley, Carl T. 4 Koko, Jonas 4 Mang, Andreas 4 Martínez, José Mario 4 Mehrmann, Volker 4 Navon, Ionel Michael 4 Peherstorfer, Benjamin 4 Pontes Duff, Igor 4 Porcelli, Margherita 4 Quarteroni, Alfio M. 4 Uddin, Mohammad Monir 4 Walther, Andrea 4 Weiser, Martin 3 Abdelwahed, Mohamed 3 Airiau, Christophe 3 Akman, Tuğba 3 Allendes, Alejandro 3 Aquino, Wilkins 3 Bänsch, Eberhard 3 Biegler, Lorenz T. 3 Buchot, Jean-Marie 3 Bujanović, Zvonimir 3 Carlberg, Kevin T. 3 Davatzikos, Christos 3 Farahi, Mohammad Hadi 3 Farhat, Charbel H. 3 Freitag, Melina A. 3 Ge, Liang 3 Gholami, Amir 3 Ghomanjani, Fateme 3 Gosea, Ion Victor 3 Goyal, Pawan 3 Haber, Eldad 3 Hager, William W. 3 Henrion, René 3 Herty, Michael Matthias 3 Jbilou, Khalide 3 Kaltenbacher, Barbara ...and 955 more Authors all top 5 Cited in 151 Serials 36 SIAM Journal on Scientific Computing 33 Journal of Computational and Applied Mathematics 30 Journal of Computational Physics 28 Computer Methods in Applied Mechanics and Engineering 27 Computational Optimization and Applications 24 Optimization Methods & Software 20 Mathematical Programming. Series A. Series B 18 SIAM Journal on Optimization 17 SIAM/ASA Journal on Uncertainty Quantification 16 Applied Mathematics and Computation 16 Journal of Scientific Computing 15 Computers & Mathematics with Applications 15 Journal of Optimization Theory and Applications 15 SIAM Journal on Control and Optimization 14 Applied Numerical Mathematics 9 Computers and Fluids 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Numerical Functional Analysis and Optimization 8 Systems & Control Letters 8 Numerical Algorithms 8 Advances in Computational Mathematics 8 Optimization and Engineering 7 International Journal for Numerical Methods in Engineering 6 SIAM Journal on Numerical Analysis 6 Numerical Methods for Partial Differential Equations 5 Inverse Problems 5 Applied Mathematics and Optimization 5 Mathematics and Computers in Simulation 5 Numerische Mathematik 5 SIAM Journal on Matrix Analysis and Applications 5 International Journal of Computer Mathematics 5 Computing and Visualization in Science 5 Acta Numerica 5 Numerical Algebra, Control and Optimization 4 International Journal of Control 4 Mathematics of Computation 4 Automatica 4 Optimal Control Applications & Methods 4 Linear Algebra and its Applications 4 Numerical Linear Algebra with Applications 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 Journal of Global Optimization 3 Journal of Mathematical Imaging and Vision 3 Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 Mathematical Problems in Engineering 3 International Journal of Computational Fluid Dynamics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GAMM-Mitteilungen 3 Optimization Letters 3 Inverse Problems and Imaging 3 SIAM Journal on Imaging Sciences 2 Computer Physics Communications 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 BIT 2 Computing 2 Acta Mathematicae Applicatae Sinica. English Series 2 Optimization 2 Asia-Pacific Journal of Operational Research 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 MCSS. Mathematics of Control, Signals, and Systems 2 Physics of Fluids 2 Turkish Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Mathematical and Computer Modelling of Dynamical Systems 2 Acta Mathematica Sinica. English Series 2 Computational Geosciences 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 SIAM Journal on Applied Dynamical Systems 2 Oberwolfach Reports 2 Communications in Computational Physics 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 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 Journal of Complexity 1 Information and Computation 1 Computational Mechanics 1 COMPEL 1 Journal of Economic Dynamics & Control 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 ...and 51 more Serials all top 5 Cited in 32 Fields 415 Numerical analysis (65-XX) 296 Calculus of variations and optimal control; optimization (49-XX) 202 Operations research, mathematical programming (90-XX) 162 Partial differential equations (35-XX) 113 Systems theory; control (93-XX) 103 Fluid mechanics (76-XX) 30 Mechanics of deformable solids (74-XX) 28 Computer science (68-XX) 27 Statistics (62-XX) 26 Probability theory and stochastic processes (60-XX) 25 Biology and other natural sciences (92-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 14 Information and communication theory, circuits (94-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 7 Optics, electromagnetic theory (78-XX) 7 Geophysics (86-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 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 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year