Edit Profile (opens in new tab) Haasdonk, Bernard Co-Author Distance Author ID: haasdonk.bernard Published as: Haasdonk, Bernard; Haasdonk, B. Documents Indexed: 85 Publications since 2001, including 1 Book and 18 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 82 Co-Authors with 83 Joint Publications 2,352 Co-Co-Authors all top 5 Co-Authors 3 single-authored 18 Santin, Gabriele 17 Ohlberger, Mario 10 Buchfink, Patrick 10 Wenzel, Tizian 10 Wittwar, Dominik 9 Fehr, Jörg 4 Bhatt, Ashish 4 Schindler, Felix 3 Dihlmann, Markus A. 3 Drohmann, Martin 3 Glas, Silke 3 Herkert, Robin 3 Kaulmann, Sven 3 Martini, Immanuel 3 Rettberg, Johannes 3 Rozza, Gianluigi 3 Salomon, Julien 3 Wohlmuth, Barbara I. 2 Alla, Alessandro 2 Barth, Andrea 2 Eberhard, Peter 2 Grunert, Dennis 2 Hamzi, Boumediene 2 Jung, Nadine 2 Kleikamp, Hendrik 2 Kröner, Dietmar 2 Lohmann, Boris 2 Redeker, Magnus 2 Rohde, Christian 1 Afkham, Babak Maboudi 1 Albrecht, Felix 1 Amsallem, David 1 Beck, Andrea D. 1 Brauchler, Alexander 1 Brencher, Lukas 1 Brünnette, Tim 1 Burkhardt, Hans 1 Burkovska, Olena 1 Carlberg, Kevin T. 1 Ehring, Tobias 1 Farhat, Charbel H. 1 Fischer, Michael J. 1 Flemisch, Bernd 1 Franzelin, Fabian 1 Fritzen, Felix 1 Garmatter, Dominik 1 Gavrilenko, Pavel 1 Harrach, Bastian 1 Helmig, Rainer 1 Hesthaven, Jan S. 1 Iliev, Oleg P. 1 Karajan, Nils 1 Karvonen, Toni 1 Köppel, Markus 1 Köppl, Tobias 1 Kröker, Ilja 1 Kurz, Marius 1 Lie, Knut-Andreas 1 Maier, Ingo 1 Nowak, Wolfgang 1 Oladyshkin, Sergey 1 Patera, Anthony T. 1 Pekalska, Elzbieta 1 Pflüger, Dirk 1 Röhrle, Oliver 1 Ruiner, Thomas 1 Rumpf, Martin 1 Ryckelynck, David 1 Schmidt, Alfred 1 Schmitt, Syn 1 Schöps, Sebastian 1 Shuva, Shahnewaz 1 Siebert, Kunibert G. 1 Sorensen, Danny C. 1 Toktaliev, Pavel 1 Unger, Benjamin 1 Urban, Karsten 1 Waldherr, Steffen 1 Wieland, Bernhard 1 Winkle, Daniel 1 Youssef, Maha 1 Ziegler, Pascal all top 5 Serials 6 Mathematical and Computer Modelling of Dynamical Systems 5 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 3 International Journal for Numerical Methods in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems 1 BIT 1 Computing 1 Journal of Approximation Theory 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Physica D 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Journal of Scientific Computing 1 Machine Learning 1 Computational Optimization and Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical & Computational Applications 1 Computational Geosciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Mechanica Sinica 1 IUTAM Bookseries 1 International Journal of Computing Science and Mathematics 1 SIAM Journal on Financial Mathematics 1 Dolomites Research Notes on Approximation 1 SIAM/ASA Journal on Uncertainty Quantification 1 Berichte aus der Informatik all top 5 Fields 53 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 13 Systems theory; control (93-XX) 10 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 904 times in 532 Documents Cited by ▼ Year ▼ Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177 Haasdonk, Bernard; Ohlberger, Mario 163 2008 Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation. Zbl 1259.65133 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 100 2012 A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. Zbl 1302.65221 Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario 60 2011 Convergence rates of the POD-greedy method. Zbl 1277.65074 Haasdonk, Bernard 60 2013 Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. Zbl 1230.37110 Haasdonk, Bernard; Ohlberger, Mario 45 2011 A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127 Wirtz, D.; Sorensen, D. C.; Haasdonk, B. 37 2014 The localized reduced basis multiscale method. Zbl 1278.65172 Albrecht, Felix; Haasdonk, Bernard; Kaulmann, Sven; Ohlberger, Mario 25 2012 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413 Haasdonk, B.; Ohlberger, M.; Rozza, G. 25 2008 Convergence rate of the data-independent \(P\)-greedy algorithm in kernel-based approximation. Zbl 1370.94401 Santin, Gabriele; Haasdonk, Bernard 24 2017 A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. Zbl 1269.65127 Kaulmann, Sven; Ohlberger, Mario; Haasdonk, Bernard 22 2011 Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems. Zbl 1319.49046 Dihlmann, Markus A.; Haasdonk, Bernard 20 2015 Surrogate modeling of multiscale models using kernel methods. Zbl 1352.65144 Wirtz, D.; Karajan, N.; Haasdonk, B. 20 2015 Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021 Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard 19 2015 Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100 Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard 19 2013 Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058 Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian 15 2019 A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems. Zbl 1282.65166 Maier, I.; Haasdonk, B. 15 2014 A reduced basis method for parametrized variational inequalities. Zbl 1261.65069 Haasdonk, B.; Salomon, J.; Wohlmuth, B. 15 2012 Adaptive reduced basis methods for nonlinear convection-diffusion equations. Zbl 1246.76124 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 14 2011 Reduced basis methods for pricing options with the Black-Scholes and Heston models. Zbl 1335.91099 Burkovska, O.; Haasdonk, B.; Salomon, J.; Wohlmuth, B. 13 2015 Greedy-based approximation of frequency-weighted Gramian matrices for model reduction in multibody dynamics. Zbl 1331.70003 Fehr, Jörg; Fischer, Michael; Haasdonk, Bernard; Eberhard, Peter 12 2013 A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. Zbl 1458.65018 Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard 12 2021 Adaptive basis enrichment for the reduced basis method applied to finite volume schemes. Zbl 1422.65207 Haasdonk, Bernard; Ohlberger, Mario 10 2008 A reduced basis method for the simulation of American options. Zbl 1269.91086 Haasdonk, B.; Salomon, J.; Wohlmuth, B. 10 2013 An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem. Zbl 1390.80017 Fritzen, Felix; Haasdonk, Bernard; Ryckelynck, David; Schöps, Sebastian 9 2018 Reduced basis approximation of large scale parametric algebraic Riccati equations. Zbl 1396.49030 Schmidt, Andreas; Haasdonk, Bernard 8 2018 Greedy kernel approximation for sparse surrogate modeling. Zbl 1416.65059 Haasdonk, Bernard; Santin, Gabriele 8 2018 A reduced basis Landweber method for nonlinear inverse problems. Zbl 1382.65362 Garmatter, Dominik; Haasdonk, Bernard; Harrach, Bastian 8 2016 Invariant kernel functions for pattern analysis and machine learning. Zbl 1470.68113 Haasdonk, Bernard; Burkhardt, Hans 8 2007 Reduced basis method for explicit finite volume approximations of nonlinear conservation laws. Zbl 1407.76084 Haasdonk, Bernard; Ohlberger, Mario 8 2009 A reduced basis Kalman filter for parametrized partial differential equations. Zbl 1346.35245 Dihlmann, Markus; Haasdonk, Bernard 7 2016 The localized reduced basis multiscale method for two-phase flows in porous media. Zbl 1352.76057 Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-a.; Ohlberger, M. 7 2015 Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem. Zbl 1523.34046 Haasdonk, B.; Hamzi, B.; Santin, G.; Wittwar, D. 7 2021 Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. Zbl 07188452 Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard 6 2020 Kernel methods for surrogate modeling. Zbl 07445319 Santin, Gabriele; Haasdonk, Bernard 6 2021 A POD-EIM reduced two-scale model for crystal growth. Zbl 1336.82015 Redeker, Magnus; Haasdonk, Bernard 5 2015 Reduced basis method for quadratically nonlinear transport equations. Zbl 1189.65225 Jung, N.; Haasdonk, B.; Kröner, Dietmar B. 5 2009 Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116 Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi 4 2018 Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102 Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian 4 2001 Data-driven time parallelism via forecasting. Zbl 07099294 Carlberg, Kevin; Brencher, Lukas; Haasdonk, Bernard; Barth, Andrea 4 2019 Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems. Zbl 1256.93030 Wirtz, D.; Haasdonk, B. 4 2012 Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. Zbl 07673289 Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard 4 2023 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation. Zbl 06861108 Alla, Alessandro; Schmidt, Andreas; Haasdonk, Bernard 3 2017 A-posteriori error estimation for second order mechanical systems. Zbl 1345.70051 Ruiner, Thomas; Fehr, Jörg; Haasdonk, Bernard; Eberhard, Peter 3 2012 Greedy algorithms for matrix-valued kernels. Zbl 07136698 Wittwar, Dominik; Haasdonk, Bernard 3 2018 Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Zbl 1441.49031 Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas 3 2020 Model order reduction and error estimation with an application to the parameter-dependent eddy current equation. Zbl 1303.93052 Jung, Nadine; Patera, Anthony T.; Haasdonk, Bernard; Lohmann, Boris 2 2011 Output error bounds for the Dirichlet-Neumann reduced basis method. Zbl 1328.65262 Martini, Immanuel; Haasdonk, Bernard 2 2015 Transformation knowledge in pattern analysis with kernel methods: distance and integration kernels. Zbl 1123.68104 Haasdonk, Bernard 2 2006 Reduced basis method for finite volume approximation of evolution equations on parametrized geometries. Zbl 1171.65422 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 2 2009 Greedy kernel methods for accelerating implicit integrators for parametric ODEs. Zbl 07136774 Brünnette, Tim; Santin, Gabriele; Haasdonk, Bernard 2 2018 Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. Zbl 1485.65024 Santin, Gabriele; Karvonen, Toni; Haasdonk, Bernard 2 2022 Indefinite kernel discriminant analysis. Zbl 1436.62256 Haasdonk, Bernard; Pȩkalska, Elżbieta 2 2010 Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy. Zbl 07678815 Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard 2 2023 A POD-EIM reduced two-scale model for precipitation in porous media. Zbl 1348.93064 Redeker, M.; Haasdonk, B. 1 2016 Guest editorial: Special issue on “Model order reduction of parameterized problems”. Zbl 1298.00140 1 2011 Special issue on model reduction. Zbl 1351.65001 1 2015 Model order reduction of an elastic body under large rigid motion. Zbl 1425.74453 Bhatt, Ashish; Fehr, Jörg; Haasdonk, Bernard 1 2018 Greedy kernel methods for center manifold approximation. Zbl 1485.37072 Haasdonk, Bernard; Hamzi, Boumediene; Santin, Gabriele; Wittwar, Dominik 1 2020 A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. Zbl 1516.65087 Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian 1 2023 A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. Zbl 1501.76062 Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha 1 2022 A posteriori error estimation in model order reduction of elastic multibody systems with large rigid motion. Zbl 1425.74452 Bhatt, Ashish; Fehr, Jörg; Grunert, Dennis; Haasdonk, Bernard 1 2020 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038 Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. Zbl 07673289 Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard 4 2023 Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy. Zbl 07678815 Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard 2 2023 A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. Zbl 1516.65087 Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian 1 2023 Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. Zbl 1485.65024 Santin, Gabriele; Karvonen, Toni; Haasdonk, Bernard 2 2022 A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. Zbl 1501.76062 Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha 1 2022 A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. Zbl 1458.65018 Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard 12 2021 Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem. Zbl 1523.34046 Haasdonk, B.; Hamzi, B.; Santin, G.; Wittwar, D. 7 2021 Kernel methods for surrogate modeling. Zbl 07445319 Santin, Gabriele; Haasdonk, Bernard 6 2021 Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. Zbl 07188452 Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard 6 2020 Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Zbl 1441.49031 Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas 3 2020 Greedy kernel methods for center manifold approximation. Zbl 1485.37072 Haasdonk, Bernard; Hamzi, Boumediene; Santin, Gabriele; Wittwar, Dominik 1 2020 A posteriori error estimation in model order reduction of elastic multibody systems with large rigid motion. Zbl 1425.74452 Bhatt, Ashish; Fehr, Jörg; Grunert, Dennis; Haasdonk, Bernard 1 2020 Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058 Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian 15 2019 Data-driven time parallelism via forecasting. Zbl 07099294 Carlberg, Kevin; Brencher, Lukas; Haasdonk, Bernard; Barth, Andrea 4 2019 An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem. Zbl 1390.80017 Fritzen, Felix; Haasdonk, Bernard; Ryckelynck, David; Schöps, Sebastian 9 2018 Reduced basis approximation of large scale parametric algebraic Riccati equations. Zbl 1396.49030 Schmidt, Andreas; Haasdonk, Bernard 8 2018 Greedy kernel approximation for sparse surrogate modeling. Zbl 1416.65059 Haasdonk, Bernard; Santin, Gabriele 8 2018 Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116 Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi 4 2018 Greedy algorithms for matrix-valued kernels. Zbl 07136698 Wittwar, Dominik; Haasdonk, Bernard 3 2018 Greedy kernel methods for accelerating implicit integrators for parametric ODEs. Zbl 07136774 Brünnette, Tim; Santin, Gabriele; Haasdonk, Bernard 2 2018 Model order reduction of an elastic body under large rigid motion. Zbl 1425.74453 Bhatt, Ashish; Fehr, Jörg; Haasdonk, Bernard 1 2018 Convergence rate of the data-independent \(P\)-greedy algorithm in kernel-based approximation. Zbl 1370.94401 Santin, Gabriele; Haasdonk, Bernard 24 2017 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation. Zbl 06861108 Alla, Alessandro; Schmidt, Andreas; Haasdonk, Bernard 3 2017 A reduced basis Landweber method for nonlinear inverse problems. Zbl 1382.65362 Garmatter, Dominik; Haasdonk, Bernard; Harrach, Bastian 8 2016 A reduced basis Kalman filter for parametrized partial differential equations. Zbl 1346.35245 Dihlmann, Markus; Haasdonk, Bernard 7 2016 A POD-EIM reduced two-scale model for precipitation in porous media. Zbl 1348.93064 Redeker, M.; Haasdonk, B. 1 2016 Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems. Zbl 1319.49046 Dihlmann, Markus A.; Haasdonk, Bernard 20 2015 Surrogate modeling of multiscale models using kernel methods. Zbl 1352.65144 Wirtz, D.; Karajan, N.; Haasdonk, B. 20 2015 Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021 Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard 19 2015 Reduced basis methods for pricing options with the Black-Scholes and Heston models. Zbl 1335.91099 Burkovska, O.; Haasdonk, B.; Salomon, J.; Wohlmuth, B. 13 2015 The localized reduced basis multiscale method for two-phase flows in porous media. Zbl 1352.76057 Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-a.; Ohlberger, M. 7 2015 A POD-EIM reduced two-scale model for crystal growth. Zbl 1336.82015 Redeker, Magnus; Haasdonk, Bernard 5 2015 Output error bounds for the Dirichlet-Neumann reduced basis method. Zbl 1328.65262 Martini, Immanuel; Haasdonk, Bernard 2 2015 Special issue on model reduction. Zbl 1351.65001 1 2015 A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127 Wirtz, D.; Sorensen, D. C.; Haasdonk, B. 37 2014 A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems. Zbl 1282.65166 Maier, I.; Haasdonk, B. 15 2014 Convergence rates of the POD-greedy method. Zbl 1277.65074 Haasdonk, Bernard 60 2013 Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100 Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard 19 2013 Greedy-based approximation of frequency-weighted Gramian matrices for model reduction in multibody dynamics. Zbl 1331.70003 Fehr, Jörg; Fischer, Michael; Haasdonk, Bernard; Eberhard, Peter 12 2013 A reduced basis method for the simulation of American options. Zbl 1269.91086 Haasdonk, B.; Salomon, J.; Wohlmuth, B. 10 2013 Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation. Zbl 1259.65133 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 100 2012 The localized reduced basis multiscale method. Zbl 1278.65172 Albrecht, Felix; Haasdonk, Bernard; Kaulmann, Sven; Ohlberger, Mario 25 2012 A reduced basis method for parametrized variational inequalities. Zbl 1261.65069 Haasdonk, B.; Salomon, J.; Wohlmuth, B. 15 2012 Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems. Zbl 1256.93030 Wirtz, D.; Haasdonk, B. 4 2012 A-posteriori error estimation for second order mechanical systems. Zbl 1345.70051 Ruiner, Thomas; Fehr, Jörg; Haasdonk, Bernard; Eberhard, Peter 3 2012 A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. Zbl 1302.65221 Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario 60 2011 Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. Zbl 1230.37110 Haasdonk, Bernard; Ohlberger, Mario 45 2011 A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. Zbl 1269.65127 Kaulmann, Sven; Ohlberger, Mario; Haasdonk, Bernard 22 2011 Adaptive reduced basis methods for nonlinear convection-diffusion equations. Zbl 1246.76124 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 14 2011 Model order reduction and error estimation with an application to the parameter-dependent eddy current equation. Zbl 1303.93052 Jung, Nadine; Patera, Anthony T.; Haasdonk, Bernard; Lohmann, Boris 2 2011 Guest editorial: Special issue on “Model order reduction of parameterized problems”. Zbl 1298.00140 1 2011 Indefinite kernel discriminant analysis. Zbl 1436.62256 Haasdonk, Bernard; Pȩkalska, Elżbieta 2 2010 Reduced basis method for explicit finite volume approximations of nonlinear conservation laws. Zbl 1407.76084 Haasdonk, Bernard; Ohlberger, Mario 8 2009 Reduced basis method for quadratically nonlinear transport equations. Zbl 1189.65225 Jung, N.; Haasdonk, B.; Kröner, Dietmar B. 5 2009 Reduced basis method for finite volume approximation of evolution equations on parametrized geometries. Zbl 1171.65422 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 2 2009 Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177 Haasdonk, Bernard; Ohlberger, Mario 163 2008 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413 Haasdonk, B.; Ohlberger, M.; Rozza, G. 25 2008 Adaptive basis enrichment for the reduced basis method applied to finite volume schemes. Zbl 1422.65207 Haasdonk, Bernard; Ohlberger, Mario 10 2008 Invariant kernel functions for pattern analysis and machine learning. Zbl 1470.68113 Haasdonk, Bernard; Burkhardt, Hans 8 2007 Transformation knowledge in pattern analysis with kernel methods: distance and integration kernels. Zbl 1123.68104 Haasdonk, Bernard 2 2006 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038 Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102 Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian 4 2001 all cited Publications top 5 cited Publications all top 5 Cited by 880 Authors 39 Haasdonk, Bernard 34 Rozza, Gianluigi 25 Ohlberger, Mario 22 Patera, Anthony T. 21 Quarteroni, Alfio M. 18 Manzoni, Andrea 16 Benner, Peter 15 Carlberg, Kevin T. 12 Feng, Lihong 12 Rave, Stephan David 11 Urban, Karsten 10 Efendiev, Yalchin R. 10 Peherstorfer, Benjamin 10 Santin, Gabriele 10 Willcox, Karen E. 9 Hesthaven, Jan S. 9 Knezevic, David J. 9 Maday, Yvon 9 Taddei, Tommaso 9 Volkwein, Stefan 8 Amsallem, David 8 Chen, Yanlai 8 Choi, Youngsoo 8 Schindler, Felix 8 Smetana, Kathrin 8 Stabile, Giovanni 7 Chung, Tsz Shun Eric 7 Glau, Kathrin 7 Huynh, Dinh Bao Phuong 7 Nguyen, Ngoc Cuong 6 Chaturantabut, Saifon 6 Chen, Peng 6 Eberhard, Peter 6 Fehr, Jörg 6 Grepl, Martin A. 6 Gugercin, Serkan 6 Oladyshkin, Sergey 6 Veroy, Karen 6 Wenzel, Tizian 6 Yano, Masayuki 5 Alla, Alessandro 5 Farhat, Charbel H. 5 Hamzi, Boumediene 5 Iapichino, Laura 5 Iliescu, Traian 5 Narayan, Akil C. 5 Nowak, Wolfgang 5 Pagani, Stefano 5 Perracchione, Emma 5 Zahr, Matthew J. 4 Antil, Harbir 4 Bader, Eduard 4 Ballarin, Francesco 4 Bordas, Stéphane Pierre Alain 4 Cheung, Siu Wun 4 Grundel, Sara M. 4 Holzwarth, Philip 4 Karatzas, Efthymios N. 4 Keil, Tim 4 Kröker, Ilja 4 Owhadi, Houman 4 Peitz, Sebastian 4 Son, Nguyen Thanh 4 Stykel, Tatjana 4 Wittwar, Dominik 3 Benaceur, Amina 3 Boyaval, Sébastien 3 Buhr, Andreas 3 Calo, Victor Manuel 3 Chellappa, Sridhar 3 Cicci, Ludovica 3 De Marchi, Stefano 3 Dede’, Luca 3 Dihlmann, Markus A. 3 Eftang, Jens L. 3 Engwer, Christian 3 Fresca, Stefania 3 Galvis, Juan 3 Gaß, Maximilian 3 Glas, Silke 3 Grunert, Dennis 3 Hess, Martin Wilfried 3 Himpe, Christian 3 Hinze, Michael 3 Hoang, Khac Chi 3 Iollo, Angelo 3 Kerfriden, Pierre 3 Lass, Oliver 3 Leung, Wingtat 3 Li, Suzhou 3 Marchetti, Francesco 3 Martini, Immanuel 3 Marzouk, Youssef M. 3 Mehrmann, Volker 3 Mola, Andrea 3 Navon, Ionel Michael 3 Pacciarini, Paolo 3 Pagliantini, Cecilia 3 Peng, Liqian 3 Pulch, Roland ...and 780 more Authors all top 5 Cited in 112 Serials 63 Computer Methods in Applied Mechanics and Engineering 52 Journal of Computational Physics 40 SIAM Journal on Scientific Computing 29 Advances in Computational Mathematics 25 International Journal for Numerical Methods in Engineering 20 Journal of Scientific Computing 14 Mathematical and Computer Modelling of Dynamical Systems 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Journal of Computational and Applied Mathematics 10 SIAM/ASA Journal on Uncertainty Quantification 9 Computational Geosciences 8 Computers & Mathematics with Applications 7 Computers and Fluids 7 Computational Mechanics 6 Applied Mathematics and Computation 6 Physica D 6 Applied Numerical Mathematics 6 Multiscale Modeling & Simulation 5 Acta Numerica 4 Mathematics and Computers in Simulation 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Computational Physics 4 SIAM Journal on Financial Mathematics 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Control and Optimization 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 2 Mathematics of Computation 2 BIT 2 Journal of Approximation Theory 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Systems & Control Letters 2 Constructive Approximation 2 SIAM Journal on Matrix Analysis and Applications 2 Machine Learning 2 Applied Mathematical Modelling 2 SIAM Review 2 Computational Optimization and Applications 2 Applied and Computational Harmonic Analysis 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Finance and Stochastics 2 Computing and Visualization in Science 2 International Journal of Computational Fluid Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Archives of Computational Methods in Engineering 2 Journal of Machine Learning Research (JMLR) 2 Oberwolfach Reports 2 Communications in Applied and Industrial Mathematics 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Nuclear Physics. B 1 Physica A 1 Chaos, Solitons and Fractals 1 Automatica 1 Calcolo 1 Computing 1 Journal of Statistical Planning and Inference 1 Bulletin of the Iranian Mathematical Society 1 Optimization 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Neural Computation 1 International Journal of Computer Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 International Journal of Computer Vision 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical Problems in Engineering 1 Multibody System Dynamics 1 Taiwanese Journal of Mathematics 1 Mathematical & Computational Applications 1 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Quantitative Finance 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Quantum Information Processing 1 Thai Journal of Mathematics 1 International Journal of Computational Methods 1 Engineering Optimization 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Acta Mechanica Sinica 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics ...and 12 more Serials all top 5 Cited in 35 Fields 404 Numerical analysis (65-XX) 155 Partial differential equations (35-XX) 116 Fluid mechanics (76-XX) 66 Systems theory; control (93-XX) 55 Computer science (68-XX) 55 Mechanics of deformable solids (74-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 36 Statistics (62-XX) 32 Approximations and expansions (41-XX) 26 Probability theory and stochastic processes (60-XX) 25 Operations research, mathematical programming (90-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Optics, electromagnetic theory (78-XX) 20 Biology and other natural sciences (92-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Geophysics (86-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year