Edit Profile (opens in new tab) Bolten, Matthias Co-Author Distance Author ID: bolten.matthias Published as: Bolten, Matthias; Bolten, M. External Links: MGP · ORCID · Wikidata · ResearchGate Documents Indexed: 34 Publications since 2008, including 4 Additional arXiv Preprints 1 Contribution as Editor Software Indexed: 2 Packages Co-Authors: 61 Co-Authors with 34 Joint Publications 1,444 Co-Co-Authors all top 5 Co-Authors 1 single-authored 6 Donatelli, Marco 6 Furci, Isabella 5 Gottschalk, Hanno 5 Speck, Robert 4 Ferrari, Paola 4 Hahn, Camilla 4 Kahl, Karsten 3 Emmett, Matthew 3 Friedhoff, Stephanie 3 Huckle, Thomas Kilian 3 Klamroth, Kathrin 3 Ruprecht, Daniel 3 Tanil Doganay, Onur 2 Ekström, Sven-Erik 2 Frommer, Andreas 2 Hahne, Jens 2 Krause, Rolf H. 2 Kravvaritis, Christos D. 2 Minion, Michael L. 2 Moser, Dieter 2 Schmitz, Sebastian 2 Serra-Capizzano, Stefano 2 Sokolović, Sonja 1 Backhaus, Jan O. 1 Brandt, Achi E. 1 Brannick, James J. 1 Claus, Lisa 1 De Sterck, Hans 1 de Sturler, Eric 1 Ehrhardt, Matthias 1 Engel, Benedikt 1 Frey, Christian M. M. 1 Fujii, Akihiro 1 Günther, Michael 1 Hahne, Jan 1 Heming, Matthias 1 Jaksch, Peter 1 Jäschke, Jens 1 Kilmer, Misha Elena 1 Kressner, Daniel 1 Liefke, Alexander 1 Livshits, Irene 1 Luft, Daniel 1 Macedo, Francisco 1 MacLachlan, Scott P. 1 Mäde, Lucas 1 Marciniak, Vincent 1 Nakajima, Kengo 1 Parks, Michael L. 1 Reese, Marco 1 Rittich, Hannah 1 Saadi, Mohamed 1 Schöps, Sebastian 1 Schultes, Johanna 1 Schulz, Volker H. 1 Steiner, Johannes 1 Stiglmayr, Michael 1 Thiess, Alexander 1 Yavneh, Irad 1 Yoda, Ryo 1 Zeller, Rudolf all top 5 Serials 6 SIAM Journal on Scientific Computing 5 Linear Algebra and its Applications 4 ETNA. Electronic Transactions on Numerical Analysis 3 Numerical Linear Algebra with Applications 2 BIT 2 Computing and Visualization in Science 1 Computer Methods in Applied Mechanics and Engineering 1 ACM Transactions on Mathematical Software 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics all top 5 Fields 30 Numerical analysis (65-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 186 times in 134 Documents Cited by ▼ Year ▼ A multi-level spectral deferred correction method. Zbl 1326.65138 Speck, Robert; Ruprecht, Daniel; Emmett, Matthew; Minion, Michael; Bolten, Matthias; Krause, Rolf 37 2015 Interweaving PFASST and parallel multigrid. Zbl 1325.65193 Minion, M. L.; Speck, R.; Bolten, M.; Emmett, M.; Ruprecht, D. 30 2015 A multigrid perspective on the parallel full approximation scheme in space and time. Zbl 1463.65278 Bolten, Matthias; Moser, Dieter; Speck, Robert 23 2017 Fourier analysis of periodic stencils in multigrid methods. Zbl 1402.65175 Bolten, M.; Rittich, H. 13 2018 Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems. Zbl 1513.65344 Bolten, Matthias; Moser, Dieter; Speck, Robert 10 2018 Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices. Zbl 1323.65119 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas; Kravvaritis, Christos 9 2015 Minimal failure probability for ceramic design via shape control. Zbl 1322.49070 Bolten, Matthias; Gottschalk, Hanno; Schmitz, Sebastian 8 2015 Numerical shape optimization to decrease failure probability of ceramic structures. Zbl 07704833 Bolten, Matthias; Gottschalk, Hanno; Hahn, Camilla; Saadi, Mohamed 7 2019 Algebraic multigrid methods for Laplacians of graphs. Zbl 1217.65063 Bolten, Matthias; Friedhoff, Stephanie; Frommer, Andreas; Heming, Matthias; Kahl, Karsten 5 2011 Algorithm 1016. PyMGRIT: a python package for the parallel-in-time method MGRIT. Zbl 07467979 Hahne, Jens; Friedhoff, Stephanie; Bolten, Matthias 5 2021 A bootstrap algebraic multilevel method for Markov chains. Zbl 1269.65033 Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira 4 2011 Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices. Zbl 1312.65205 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas 4 2015 Parallel-in-time simulation of an electrical machine using MGRIT. Zbl 07704918 Bolten, Matthias; Friedhoff, Stephanie; Hahne, Jens; Schöps, Sebastian 4 2020 A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems. Zbl 1508.65025 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 4 2022 Symbol based convergence analysis in multigrid methods for saddle point problems. Zbl 1516.65148 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 3 2023 Nonoverlapping block smoothers for the Stokes equations. Zbl 1538.65453 Claus, Lisa; Bolten, Matthias 3 2021 Using composite finite elements for shape optimization with a stochastic objective functional. Zbl 1469.65162 Bolten, Matthias; Hahn, Camilla 2 2019 GivEn – shape optimization for gas turbines in volatile energy networks. Zbl 1477.76074 Backhaus, Jan; Bolten, Matthias; Tanil Doganay, Onur; Ehrhardt, Matthias; Engel, Benedikt; Frey, Christian; Gottschalk, Hanno; Günther, Michael; Hahn, Camilla; Jäschke, Jens; Jaksch, Peter; Klamroth, Kathrin; Liefke, Alexander; Luft, Daniel; Mäde, Lucas; Marciniak, Vincent; Reese, Marco; Schultes, Johanna; Schulz, Volker; Schmitz, Sebastian; Steiner, Johannes; Stiglmayr, Michael 2 2021 Sparse matrix approximations for multigrid methods. Zbl 1338.65120 Bolten, Matthias; Huckle, Thomas K.; Kravvaritis, Christos D. 2 2016 Multigrid methods for tensor structured Markov chains with low rank approximation. Zbl 1382.65028 Bolten, Matthias; Kahl, Karsten; Sokolović, Sonja 2 2016 Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices. Zbl 1493.15035 Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 2 2022 A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. Zbl 1516.15005 Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 2 2023 Tracing locally Pareto-optimal points by numerical integration. Zbl 1477.90095 Bolten, Matthias; Doganay, Onur Tanil; Gottschalk, Hanno; Klamroth, Kathrin 1 2021 Hierarchical grid coarsening for the solution of the Poisson equation in free space. Zbl 1175.35035 Bolten, Matthias 1 2008 Symbol based convergence analysis in block multigrid methods with applications for Stokes problems. Zbl 1526.65007 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 1 2023 Multigrid methods combined with low-rank approximation for tensor-structured Markov chains. Zbl 1401.65031 Bolten, Matthias; Kahl, Karsten; Kressner, Daniel; Macedo, Francisco; Sokolović, Sonja 1 2018 Krylov subspace recycling for evolving structures. Zbl 1507.74351 Bolten, M.; de Sturler, E.; Hahn, C.; Parks, M. L. 1 2022 Symbol based convergence analysis in multigrid methods for saddle point problems. Zbl 1516.65148 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 3 2023 A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. Zbl 1516.15005 Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 2 2023 Symbol based convergence analysis in block multigrid methods with applications for Stokes problems. Zbl 1526.65007 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 1 2023 A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems. Zbl 1508.65025 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 4 2022 Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices. Zbl 1493.15035 Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 2 2022 Krylov subspace recycling for evolving structures. Zbl 1507.74351 Bolten, M.; de Sturler, E.; Hahn, C.; Parks, M. L. 1 2022 Algorithm 1016. PyMGRIT: a python package for the parallel-in-time method MGRIT. Zbl 07467979 Hahne, Jens; Friedhoff, Stephanie; Bolten, Matthias 5 2021 Nonoverlapping block smoothers for the Stokes equations. Zbl 1538.65453 Claus, Lisa; Bolten, Matthias 3 2021 GivEn – shape optimization for gas turbines in volatile energy networks. Zbl 1477.76074 Backhaus, Jan; Bolten, Matthias; Tanil Doganay, Onur; Ehrhardt, Matthias; Engel, Benedikt; Frey, Christian; Gottschalk, Hanno; Günther, Michael; Hahn, Camilla; Jäschke, Jens; Jaksch, Peter; Klamroth, Kathrin; Liefke, Alexander; Luft, Daniel; Mäde, Lucas; Marciniak, Vincent; Reese, Marco; Schultes, Johanna; Schulz, Volker; Schmitz, Sebastian; Steiner, Johannes; Stiglmayr, Michael 2 2021 Tracing locally Pareto-optimal points by numerical integration. Zbl 1477.90095 Bolten, Matthias; Doganay, Onur Tanil; Gottschalk, Hanno; Klamroth, Kathrin 1 2021 Parallel-in-time simulation of an electrical machine using MGRIT. Zbl 07704918 Bolten, Matthias; Friedhoff, Stephanie; Hahne, Jens; Schöps, Sebastian 4 2020 Numerical shape optimization to decrease failure probability of ceramic structures. Zbl 07704833 Bolten, Matthias; Gottschalk, Hanno; Hahn, Camilla; Saadi, Mohamed 7 2019 Using composite finite elements for shape optimization with a stochastic objective functional. Zbl 1469.65162 Bolten, Matthias; Hahn, Camilla 2 2019 Fourier analysis of periodic stencils in multigrid methods. Zbl 1402.65175 Bolten, M.; Rittich, H. 13 2018 Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems. Zbl 1513.65344 Bolten, Matthias; Moser, Dieter; Speck, Robert 10 2018 Multigrid methods combined with low-rank approximation for tensor-structured Markov chains. Zbl 1401.65031 Bolten, Matthias; Kahl, Karsten; Kressner, Daniel; Macedo, Francisco; Sokolović, Sonja 1 2018 A multigrid perspective on the parallel full approximation scheme in space and time. Zbl 1463.65278 Bolten, Matthias; Moser, Dieter; Speck, Robert 23 2017 Sparse matrix approximations for multigrid methods. Zbl 1338.65120 Bolten, Matthias; Huckle, Thomas K.; Kravvaritis, Christos D. 2 2016 Multigrid methods for tensor structured Markov chains with low rank approximation. Zbl 1382.65028 Bolten, Matthias; Kahl, Karsten; Sokolović, Sonja 2 2016 A multi-level spectral deferred correction method. Zbl 1326.65138 Speck, Robert; Ruprecht, Daniel; Emmett, Matthew; Minion, Michael; Bolten, Matthias; Krause, Rolf 37 2015 Interweaving PFASST and parallel multigrid. Zbl 1325.65193 Minion, M. L.; Speck, R.; Bolten, M.; Emmett, M.; Ruprecht, D. 30 2015 Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices. Zbl 1323.65119 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas; Kravvaritis, Christos 9 2015 Minimal failure probability for ceramic design via shape control. Zbl 1322.49070 Bolten, Matthias; Gottschalk, Hanno; Schmitz, Sebastian 8 2015 Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices. Zbl 1312.65205 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas 4 2015 Algebraic multigrid methods for Laplacians of graphs. Zbl 1217.65063 Bolten, Matthias; Friedhoff, Stephanie; Frommer, Andreas; Heming, Matthias; Kahl, Karsten 5 2011 A bootstrap algebraic multilevel method for Markov chains. Zbl 1269.65033 Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira 4 2011 Hierarchical grid coarsening for the solution of the Poisson equation in free space. Zbl 1175.35035 Bolten, Matthias 1 2008 all cited Publications top 5 cited Publications all top 5 Cited by 231 Authors 16 Bolten, Matthias 15 Speck, Robert 11 He, Yunhui 10 Minion, Michael L. 8 Serra-Capizzano, Stefano 7 Donatelli, Marco 7 Gottschalk, Hanno 7 Schroder, Jacob B. 6 Friedhoff, Stephanie 6 Ruprecht, Daniel 5 Falgout, Robert D. 5 Gander, Martin Jakob 5 Hahn, Camilla 5 Klamroth, Kathrin 5 Krause, Rolf H. 5 MacLachlan, Scott P. 4 Chen, Minghua 4 Furci, Isabella 4 Neytcheva, Maya G. 4 Stiglmayr, Michael 4 Wu, Shulin 3 Christlieb, Andrew J. 3 Crockatt, Michael M. 3 De Sterck, Hans 3 Dravins, Ivo 3 Ehrhardt, Matthias 3 Emmett, Matthew 3 Ferrari, Paola 3 Götschel, Sebastian 3 Günther, Michael 3 Hahne, Jens 3 Hamon, François P. 3 Hu, Xiaozhe 3 Jäschke, Jens 3 Kahl, Karsten 3 Liu, Jun 3 Schultes, Johanna 3 Southworth, Ben S. 2 Bell, John B. 2 Brown, Jed 2 Charina, Maria 2 Day, Marcus S. 2 Dehghan Takht Fooladi, Mehdi 2 Ekström, Sven-Erik 2 Garrett, C. Kristopher 2 Gaspar, Francisco José 2 Hauck, Cory D. 2 Huckle, Thomas Kilian 2 Jacob, Birgit 2 Kravvaritis, Christos D. 2 Li, Shishun 2 Manteuffel, Thomas A. 2 Micalizzi, Lorenzo 2 Moghaderi, Hamid 2 Moser, Dieter 2 Notay, Yvan 2 Olson, Luke N. 2 Ong, Benjamin W. 2 Reese, Marco 2 Rodrigo, Carmen 2 Romani, Lucia 2 Saadi, Mohamed 2 Schöbel, Ruth 2 Schöps, Sebastian 2 Schreiber, Martin 2 Shao, Xinping 2 Sokolović, Sonja 2 Stiller, Jörg 2 Tanil Doganay, Onur 2 Torlo, Davide 2 Turati, Valentina 2 Vandewalle, Stefan G. 2 Weiser, Martin 2 Zhou, Tao 2 Zikatanov, Ludmil T. 1 Adler, James H. 1 An, Chengtao 1 Axelsson, Axel Owe Holger 1 Backhaus, Jan O. 1 Badia, Santiago 1 Beck, Tilmann 1 Beik, Fatemeh Panjeh Ali 1 Benedusi, Pietro 1 Bienz, Amanda 1 Biros, George 1 Bochev, M. A. 1 Bogoya, Manuel 1 Bourgault, Yves 1 Buvoli, Tommaso 1 Cai, Xiao-Chuan 1 Čaklović, Gayatri 1 Cao, Rongjun 1 Carrascosa, Carlos 1 Causley, Mathew 1 Chaudhry, Jehanzeb Hameed 1 Chen, Rongliang 1 Cheng, Tianpei 1 Collins, Joseph B. 1 Cowen, Lenore J. 1 Danieli, Federico ...and 131 more Authors all top 5 Cited in 38 Serials 25 SIAM Journal on Scientific Computing 15 Numerical Linear Algebra with Applications 12 Journal of Computational Physics 9 Computing and Visualization in Science 5 Computers & Mathematics with Applications 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Scientific Computing 5 Linear Algebra and its Applications 4 ETNA. Electronic Transactions on Numerical Analysis 4 Communications in Applied Mathematics and Computational Science 3 BIT 3 Combustion Theory and Modelling 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Optimization and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Computational Mechanics 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Global Optimization 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Mathematical Communications 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Mathematics in Industry 1 Journal of Applied Analysis and Computation 1 Cogent Mathematics & Statistics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 24 Fields 123 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Fluid mechanics (76-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 7 Operations research, mathematical programming (90-XX) 6 Probability theory and stochastic processes (60-XX) 5 Combinatorics (05-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.