Fakultät für Mathematik und Naturwissenschaften

M. Bolten, M. Donatelli, P. Ferrari and I. Furci, "A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems" , SIAM J. Matrix Anal. Appl., vol. 43, no. 1, pp. 405-438, 2022.
R. Yoda, M. Bolten, K. Nakajima and A. Fujii, "Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time" in Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, 2022. pp. 41-51.
M. Bolten, E. D. Sturler and C. Hahn, "Krylov Subspace Recycling for Evolving Structures" , Comput. Methods Appl. Mech. Engrg., vol. 391, pp. 114222, 2022.
M. Bolten, S. Ekström, I. Furci and S. Serra-Capizzano, "Toeplitz Momentary Symbols: definition, results, and limitations in the spectral analysis of structured matrices" , Linear Algebra Appl., vol. 651, pp. 51-82, 2022.
R. Yoda, M. Bolten, K. Nakajima and A. Fujii, "Acceleration of optimized coarse-grid operators by spatial redistribution for multigrid reduction in time" in Computational Science - ICCS 2022, Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Eds. Cham: Springer International Publishing, 2022. pp. 214-221.
J. Hahne, S. Friedhoff and M. Bolten, "Algorithm 1016: PyMGRIT: a Python package for the parallel-in-time method MGRIT" , ACM Trans. Math. Software, vol. 47, no. 2, pp. Art. 19, 22, 2021.
J. Stapmanns, J. Hahne, M. Helias, M. Bolten, M. Diesmann and D. Dahmen, "Event-based update of synapses in voltage-based learning rules" , Front. Neuroinform., vol. 15, pp. 15, 2021.
J. Backhaus, M. Bolten, O. T. Doganay, M. Ehrhardt, B. Engel, C. Frey, H. Gottschalk, M. Günther, C. Hahn, J. Jäschke, P. Jaksch, K. Klamroth, A. Liefke, D. Luft, L. Mäde, V. Marciniak, M. Reese, J. Schultes and V. Schulz, "GivEn - Shape Optimization for Gas Turbines in Volatile Energy Networks" in Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, S. Göttlich and M. Herty and A. Milde, Eds. Cham: Springer, 2021.
L. Claus and M. Bolten, "Non-overlapping block smoothers for the Stokes equations" , Num. Lin. Alg. Appl., vol. 28, no. 6, pp. e2389, 2021.
N. Haussmann, M. Zang, R. Mease, M. Clemens, B. Schmuelling and M. Bolten, "Towards real-time magnetic dosimetry simulations for inductive charging systems" , COMPEL, 2021.
M. Bolten, O. T. Doganay, H. Gottschalk and K. Klamroth, "Tracing locally Pareto optimal points by numerical integration" , SIAM J. Control Optim., vol. 59, no. 5, pp. 3302-3328, 2021.
C. Lengauer, S. Apel, M. Bolten, S. Chiba, U. Rüde, J. Teich, A. Größlinger, F. Hannig, H. Köstler, L. Claus, A. Grebhahn, S. Groth, S. Kronawitter, S. Kuckuk, H. Rittich, C. Schmitt and J. Schmitt, "ExaStencils: Advanced Multigrid Solver Generation" in Software for Exascale Computing - SPPEXA 2016-2019, H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Eds. Cham: Springer, 2020. pp. 405-452.
M. Kawai, A. Ida, H. Matsuba, K. Nakajima and M. Bolten, "Multiplicative Schwartz-Type Block Multi-Color Gauss-Seidel Smoother for Algebraic Multigrid Methods" in Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, New York: ACM, 2020. pp. 217-226.
M. Bolten, S. Friedhoff, J. Hahne and S. Schöps, "Parallel-in-time simulation of an electrical machine using MGRIT" , Comput. Vis. Sci., vol. 23, no. 1-4, pp. Paper No. 14, 14, 2020.
M. Bolten and C. Hahn, "Using composite finite elements for shape optimization with a stochastic objective functional" in Progress in Industrial Mathematics at ECMI 2018, I. Farago and F. Izsak and P. L. Simon, Eds. Cham: Springer, 2019. pp. 515-520.
M. Bolten and J. Hahne, "An SDE-waveform relaxation method with application in distributed neural network simulations" , PAMM, vol. 19, pp. e201900373, 2019.
M. Bolten, H. Gottschalk, C. Hahn and M. Saadi, "Numerical shape optimization to decrease failure probability of ceramic structures" , Comput. Vis. Sci., vol. 21, pp. 1-10, 2019.
M. Bolten and L. Claus, "Local Fourier Analysis of multigrid methods for the Stokes problem" , PAMM, vol. 19, pp. e201900394, 2019.
M. Bolten, D. Moser and R. Speck, "Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems" , Numer. Lin. Alg. Appl., vol. 25, no. 6, pp. e2208, 2018.
M. Bolten and H. Rittich, "Fourier analysis of periodic stencils in multigrid methods" , SIAM J. Sci. Comput., vol. 40, no. 3, pp. A1642-A1668, 2018.
M. Bolten, K. Kahl, D. Kressner, F. Macedo and S. Sokolović, "Multigrid methods combined with low-rank approximation for tensor-structured Markov chains" , Electron. Trans. Numer. Anal., vol. 48, pp. 348-361, 2018.
M. Bolten, D. Moser and R. Speck, "A multigrid perspective on the parallel full approximation scheme in space and time" , Numer. Lin. Alg. Appl., vol. 24, no. 6, pp. e2110, 2017.
M. Bolten, F. Franchetti, P. H. Kelly, C. Lengauer and M. Mohr, "Algebraic description and automatic generation of multigrid methods in SPIRAL" , CCPE, vol. 29, no. 17, pp. e4105, 2017.
J. Hahne, D. Dahmen, J. Schuecker, A. Frommer, M. Bolten, M. Helias and M. Diesmann, "Integration of continuous-time dynamics in a spiking neural network simulator" , Front. Neuroinform., vol. 11, pp. 00034, 2017.
S. E. Sayed, M. Bolten and D. Pleiter, "Parallel I/O architecture modelling based on file system counters" in High Performance Computing. ISC High Performance 2016, M. Taufer and B. Mohr and J. Kunkel, Eds. Springer, 2017. pp. 627-637.
A. Grebhahn, C. Engwer, M. Bolten and S. Apel, "Variability of stencil computations for porous media applications" , CCPE, vol. 29, no. 17, pp. e4119, 2017.
S. E. Sayed, M. Bolten and D. Pleiter, "Using file system counters in modelling parallel I/O architectures" , ACM SIGOPS OSR, vol. 50, no. 2, pp. 37-46, 2016.
M. Bolten, T. Huckle and C. Kravvaritis, "Sparse matrix approximations and the convergence of multigrid methods" , Linear Algebra Appl., vol. 502, pp. 58-76, 2016.
S. E. Sayed, M. Bolten, D. Pleiter and W. Frings, "Parallel I/O characterisation based on server- side performance counters" in 2016 1st Joint International Workshop on Parallel Data Storage and data Intensive Scalable Computing Systems (PDSW-DISCS), 2016. pp. 7-12.
M. Bolten, K. Kahl and S. Sokolović, "Multigrid methods for Tensor structured Markov chains with low rank approximation" , SIAM J. Sci. Comput., vol. 38, no. 2, pp. A649-A667, 2016.
J. Hahne, M. Helias, S. Kunkel, J. Igarashi, I. Kitayama, B. Wylie, M. Bolten, A. Frommer and M. Diesmann, "Including Gap Junctions into Distributed Neuronal Network Simulations" in Brain-Inspired Computing. BrainComp 2015, K. Amunts and L. Grandinetti and T. Lippert and N. Petkov, Eds. Springer, 2016. pp. 43-57.
M. Bolten and O. Letterer, "Increasing arithmetic intensity in multigrid methods on GPUs using block smoothers" in PPAM 2015, Part I, R. Wyrzykowski and E. Deelman and J. Dongarra and K. Karczewski and J. Kitowski and K. Wiatr, Eds. Springer, 2016. pp. 515-525.
R. Speck, D. Ruprecht, M. Emmett, M. Minion, M. Bolten and R. Krause, "A multi-level spectral deferred correction method" , BIT, vol. 55, pp. 843-867, 2015.
J. Hahne, M. Helias, S. Kunkel, J. Igarashi, M. Bolten, A. Frommer and M. Diesmann, "A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations" , Front. Neuroinform., vol. 9, pp. 00022, 2015.
M. Bolten, M. Donatelli and T. Huckle, "Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices" , Electron. Trans. Numer. Anal., vol. 44, pp. 25-52, 2015.
M. Bolten, M. Donatelli, T. Huckle and C. Kravvaritis, "Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices" , BIT, vol. 55, pp. 341-366, 2015.
M. L. Minion, R. Speck, M. Bolten, M. Emmett and D. Ruprecht, "Interweaving PFASST and parallel multigrid" , SIAM J. Sci. Comput., vol. 37, no. 5, pp. S244-S263, 2015.
M. Bolten, H. Gottschalk and S. Schmitz, "Minimal failure probability for ceramic design via shape control" , J. Optim. Theory Appl., vol. 166, pp. 983-1001, 2015.
R. Speck, D. Ruprecht, M. Emmett, M. Bolten and R. Krause, "A space-time parallel solver for the three-dimensional heat equation" in Parallel Computing: Accelerating Computational Science and Engineering (CSE), M. Bader and A. Bode and H.-J. Bungartz and M. Gerndt and G.R. Joubert and F. Peters, Eds. IOS Press, 2014. pp. 263-272.
M. Bolten, "Evaluation of a multigrid solver for 3-level Toeplitz and circulant matrices on Blue Gene/Q" in Proceedings of the NIC Symposium 2014, K. Binder and G. MÜnster and M. Kremer, Eds. Jülich, 2014. pp. 345-352.
C. Lengauer, S. Apel, M. Bolten, A. Größlinger, F. Hannig, U. Rüde, J. Teich, A. Grebhahn, S. Kronawitter, S. Kuckuk, H. Rittich and C. Schmitt, "ExaStencils: Advanced stencil-code engineering" in Euro-Par 2014: Parallel Processing Workshops - Euro-Par 2014 International Workshops, Porto, Portugal, August 25-26, 2014, Revised Selected Papers, Part II, Springer, 2014. pp. 553-564.
A. Arnold, M. Bolten, H. Dachsel, F. Fahrenberger, F. Gähler, R. Halver, F. Heber, M. Hofmann, C. Holm, J. Iseringhausen, I. Kabadshow, O. Lenz, M. Pippig, D. Potts and G. Sutmann, "Comparison of Scalable Fast Methods for Long-Range Interactions" , Phys. Rev. E, vol. 88, pp. 063308, 2013.
D. Ruprecht, R. Speck, M. Emmett, M. Bolten and R. Krause, "Extreme- scale space-time parallelism" in 2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC), Denver, CO, USA, 2013.
M. Bolten, N. Bozovic and A. Frommer, "Preconditioning of Krylov subspace methods using recycling in Lattice QCD Computations" , PAMM, vol. 13, pp. 413-414, 2013.
M. Bolten and K. Kahl, "Using block smoothers in multigrid methods" , PAMM, vol. 12, pp. 645-646, 2012.
K. Samiei, B. Peters, M. Bolten and A. Frommer, "Assessment of the potentials of implicit integration methods in discrete element modelling of granular matter" , Comput. Chem. Eng., vol. 49, pp. 183-193, 2012.
A. Thiess, R. Zeller, M. Bolten, P. H. Dederichs and S. Blügel, "Massively parallel density functional calculations for thousands of atoms: KKRnano" , Phys. Rev. B, vol. 85, pp. 235103, 2012.
M. Bolten, A. Brandt, J. Brannick, A. Frommer, K. Kahl and I. Livshits, "A bootstrap algebraic multilevel method for Markov chains" , SIAM J. Sci. Comput., vol. 33, no. 6, pp. 3425-3446, 2011.
M. Bolten, S. Friedhoff, A. Frommer, M. Heming and K. Kahl, "Algebraic multigrid methods for Laplacians of graphs" , Linear Algebra Appl., vol. 434, no. 11, pp. 2225-2243, 2011.
M. Bolten, D. Brinkers, U. Rüde and M. Stürmer, "Implementation of multigrid on QPACE" in 2011 IEEE International Conference on Cluster Computing (CLUSTER), Los Alamitos, CA, USA: IEEE Computer Society, 2011. pp. 371-377.
M. Bolten, "Multigrid methods for long-range interactions" in Fast methods for long-range interactions in complex systems, G. Sutmann and P. Gibbon and Th. Lippert, Eds. Jülich: Forschungszentrum Jülich, 2011. pp. 115-130.
M. Bolten, A. Thiess, I. Yavneh and R. Zeller, "Preconditioning systems arising from the KKR Green function method using block-circulant matrices" , Linear Algebra Appl., vol. 436, no. 2, pp. 436-446, 2011.
K. Samiei, B. Peters, M. Bolten and A. Frommer, "An implicit approach to predict the dynamics of granular media" , PAMM, vol. 10, no. 1, pp. 55-56, 2010.
M. Bolten, "Highly scalable multigrid algorithm for particle simulation" , PAMM, vol. 10, no. 1, pp. 643-644, 2010.
G. Sutmann, L. Westphal and M. Bolten, "Particle Based Simulations of Complex Systems with {MP2C}: Hydrodynamics and Electrostatics" , AIP Cong. Proc., vol. 1281, pp. 1768-1772, 2010.
M. Bolten, "Hierarchical grid coarsening for the solution of the Poisson equation in free space" , Electron. Trans. Numer. Anal., vol. 29, pp. 70-80, 2008.
M. Bolten and G. Sutmann, "NFFT-based extension of a particle simulation method using multigrid" , PAMM, vol. 7, no. 1, pp. 2140005-2140006, 2008.
M. Bolten and G. Sutmann, "A highly accurate and optimal method to calculate long range interactions" in Proceedings of the workshop ``From computational biophysics to systems biology'', J. Meinke and O. Zimmermann and S. Mohanty and U.H.E. Hansmann, Eds. Jülich: John von Neumann Institute for Computing, 2006. pp. 189-192.
M. Bolten, N. Papenberg, B. Fischer, P. Adamidis, R. Rabenseifner and H. Berger, "Parallelisierung eines Nichtlinearen Registrierungsalgorithmus zur Verarbeitung sehr großer Volumen-Daten" in Bildverarbeitung für die Medizin 2005, H. Meinzer and H. Handels and A. Horsch and T. Tolxdorff, Eds. Springer, 2005. pp. 360-364.

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