Publications

66.

R. Yoda, M. Bolten, K. Nakajima and A. Fujii, "Coarse-grid operator optimization in multigrid reduction in time for time-dependent Stokes and Oseen problems", Jpn. J. Ind. Appl. Math., 2024.

DOI: 10.1007/s13160-024-00652-8

65.

M. Bolten, O. T. Doganay, H. Gottschalk and K. Klamroth, "Non-convex shape optimization by dissipative Hamiltonian flows", Eng. Optim., pp. 1—20, 2024.

DOI: 10.1080/0305215X.2024.2304135

64.

M. Bolten, M. E. Kilmer and S. MacLachlan, "Multigrid preconditioning for regularized least-squares problems", SIAM J. Sci. Comput., vol. 46, no. 5, pp. s271—s295, 2024.

DOI: 10.1137/23M1583417

63.

M. Bolten, S. -. Ekström, I. Furci and S. Serra-Capizzano, "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", Electron. Trans. Numer. Anal., vol. 58, pp. 136--163, 2023.

DOI: 10.1553/etna_vol58s136

62.

M. Bolten, M. Donatelli, P. Ferrari and I. Furci, "Symbol based convergence analysis in block multigrid methods with applications for Stokes problems", Appl. Numer. Math., vol. 193, pp. 109-130, 2023.

DOI: 10.1016/j.apnum.2023.07.016

61.

M. Bolten, M. Donatelli, P. Ferrari and I. Furci, "Symbol based convergence analysis in multigrid methods for saddle point problems", Linear Algebra Appl., vol. 671, pp. 67--108, 2023.

DOI: 10.1016/j.laa.2023.04.016

60.

M. Bolten, S. Friedhoff and J. Hahne, "Task graph-based performance analysis of parallel-in-time methods", Parallel Comput., vol. 118, pp. 103050, 2023.

DOI: 10.1016/j.parco.2023.103050

59.

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.

DOI: 10.1137/21M1390554

58.

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.

DOI: 10.1007/978-3-031-08754-7_29

57.

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.

DOI: 10.1145/3492805.3492810

56.

M. Bolten, E. D. Sturler and C. Hahn, "Krylov Subspace Recycling for Evolving Structures", Comput. Methods Appl. Mech. Engrg., vol. 391, pp. 114222, 2022.

DOI: 10.1016/j.cma.2021.114222

55.

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.

DOI: 10.1016/j.laa.2022.06.017

54.

L. Claus and M. Bolten, "Non-overlapping block smoothers for the Stokes equations", Num. Lin. Alg. Appl., vol. 28, no. 6, pp. e2389, 2021.

DOI: 10.1002/nla.2389

53.

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.

DOI: 10.1108/COMPEL-03-2021-0084

52.

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.

DOI: 10.1137/20M1341106

51.

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.

DOI: 10.1007/978-3-030-62732-4_4

50.

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.

DOI: 10.1145/3446979

49.

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.

DOI: 10.3389/fninf.2021.609147

48.

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.

DOI: 10.1007/978-3-030-47956-5_14

47.

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.

DOI: 10.1145/3368474.3368481

46.

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.

DOI: 10.1007/s00791-020-00333-2

45.

M. Bolten and J. Hahne, "An SDE-waveform relaxation method with application in distributed neural network simulations", PAMM, vol. 19, pp. e201900373, 2019.

DOI: 10.1002/pamm.201900373

44.

M. Bolten and L. Claus, "Local Fourier Analysis of multigrid methods for the Stokes problem", PAMM, vol. 19, pp. e201900394, 2019.

DOI: 10.1002/pamm.201900394

43.

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.

DOI: 10.1007/s00791-019-00315-z

42.

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.

DOI: 10.1007/978-3-030-27550-1_65

41.

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.

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40.

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.

DOI: 10.1002/nla.2208

39.

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.

DOI: 10.1137/16M1073959

38.

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.

DOI: 10.1002/nla.2110

37.

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.

DOI: 10.1002/cpe.4105

36.

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.

DOI: 10.3389/fninf.2017.00034

35.

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.

DOI: 10.1007/978-3-319-46079-6_43

34.

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.

DOI: 10.1002/cpe.4119

33.

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.

DOI: 10.1016/j.laa.2015.11.008

32.

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.

DOI: 10.1145/3041710.3041716

31.

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.

DOI: 10.1007/978-3-319-50862-7_4

30.

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.

DOI: 10.1109/PDSW-DISCS.2016.006

29.

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.

DOI: 10.1007/978-3-319-32149-3_48

28.

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.

DOI: 10.1137/140994447

27.

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.

DOI: 10.1007/s10543-014-0517-x

26.

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.

DOI: 10.3389/fninf.2015.00022

25.

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.

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24.

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.

DOI: 10.1007/s10543-014-0512-2

23.

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.

DOI: 10.1137/14097536X

22.

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.

DOI: 10.1007/s10957-014-0621-8

21.

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.

DOI: 10.3233/978-1-61499-381-0-263

20.

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.

19.

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.

DOI: 10.1007/978-3-319-14313-2_47

18.

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.

DOI: 10.1103/PhysRevE.88.063308

17.

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.

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16.

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.

DOI: 10.1002/pamm.201310202

15.

M. Bolten and K. Kahl, "Using block smoothers in multigrid methods", PAMM, vol. 12, pp. 645-646, 2012.

DOI: 10.1002/pamm.201210311

14.

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.

DOI: 10.1016/j.compchemeng.2012.10.009

13.

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.

DOI: 10.1103/PhysRevB.85.235103

12.

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.

DOI: 10.1137/100791816

11.

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.

DOI: 10.1016/j.laa.2010.11.008

10.

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.

DOI: 10.1109/CLUSTER.2011.48

9.

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.

8.

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, Jan. 2011.

DOI: 10.1016/j.laa.2011.05.019

7.

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, Dec. 2010.

DOI: 10.1002/pamm.201010020

6.

M. Bolten, "Highly scalable multigrid algorithm for particle simulation", PAMM, vol. 10, no. 1, pp. 643-644, Dec. 2010.

DOI: 10.1002/pamm.201010314

5.

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.

DOI: 10.1063/1.3498216

4.

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.

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3.

M. Bolten and G. Sutmann, "NFFT-based extension of a particle simulation method using multigrid", PAMM, vol. 7, no. 1, pp. 2140005-2140006, Dec. 2008.

DOI: 10.1002/pamm.200700223

2.

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.

1.

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.

DOI: 10.1007/3-540-26431-0_74