Publications

2023: 17.
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
2021: 16.
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; 15.
J. Hahne, B. S. Southworth and S. Friedhoff,Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT), 2021.; 14.
S. Friedhoff and B. S. Southworth, "On "optimal" $h$-independent convergence of parareal and multigrid-reduction-in-time using Runge-Kutta time integration", Numer. Linear Algebra Appl., vol. 28, no. 3, pp. Paper No. e2301, 30, 2021.
DOI: 10.1002/nla.2301; 13.
H. De Sterck, R. D. Falgout, S. Friedhoff, O. A. Krzysik and S. P. MacLachlan, "Optimizing multigrid reduction-in-time and parareal coarse-grid operators for linear advection", Numer. Linear Algebra Appl., vol. 28, no. 4, pp. Paper No. e2367, 22, 2021.
DOI: 10.1002/nla.2367; 12.
I. Kulchytska-Ruchka, S. Schöps, M. Hinze, S. Friedhoff and S. Ulbrich, "PASIROM: parallel simulation and robust optimization of electro-mechanical energy converters" in German success stories in industrial mathematics, Springer, Cham, 2021, pp. 135-140.
DOI: 10.1007/978-3-030-81455-7\_22; 11.
M. Sugiyama, J. B. Schroder, B. S. Southworth and S. Friedhoff,Weighted Relaxation for Multigrid Reduction in Time, 2021.
2020: 10.
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; 9.
H. De Sterck, S. Friedhoff, A. J. M. Howse and S. P. MacLachlan, "Convergence analysis for parallel-in-time solution of hyperbolic systems", Numer. Linear Algebra Appl., vol. 27, no. 1, pp. e2271, 31, 2020.
DOI: 10.1002/nla.2271
2019: 8.
S. Friedhoff, J. Hahne, I. Kulchytska-Ruchka and S. Schöps, "Exploring Parallel-in-Time Approaches for Eddy Current Problems" in Progress in Industrial Mathematics at ECMI 2018, Farago, Istvan and Izsak, Ferenc and Simon, Peter L., Eds. Springer International Publishing, 2019, pp. 373-379.
DOI: 10.1007/978-3-030-27550-1_47; 7.
S. Friedhoff, J. Hahne and S. Schöps, "Multigrid-reduction-in-time for Eddy Current problems", PAMM, vol. 19, no. 1, pp. e201900262, 2019.
DOI: 10.1002/pamm.201900262
2017: 6.
R. D. Falgout, S. Friedhoff, T. V. Kolev, S. P. MacLachlan, J. B. Schroder and S. Vandewalle, "Multigrid methods with space-time concurrency", Comput. Vis. Sci., vol. 18, no. 4-5, pp. 123-143, 2017.
DOI: 10.1007/s00791-017-0283-9
2016: 5.
A. Hessenthaler, S. Friedhoff, O. Röhrle and D. A. Nordsletten, "3D Fluid-Structure Interaction Experiment and Benchmark Results", PAMM, vol. 16, no. 1, pp. 451-452, 2016.
DOI: 10.1002/pamm.201610214
2015: 4.
S. Friedhoff and S. MacLachlan, "A generalized predictive analysis tool for multigrid methods", Numer. Linear Algebra Appl., vol. 22, no. 4, pp. 618-647, 2015.
DOI: 10.1002/nla.1977
2014: 3.
R. D. Falgout, S. Friedhoff, T. V. Kolev, S. MacLachlan and J. B. Schroder, "Parallel time integration with multigrid", PAMM, vol. 14, no. 1, pp. 951-952, 2014.
DOI: 10.1002/pamm.201410456
2013: 2.
S. Friedhoff, S. MacLachlan and C. Börgers, "Local Fourier analysis of space-time relaxation and multigrid schemes", SIAM J. Sci. Comput., vol. 35, no. 5, pp. S250-S276, 2013.
DOI: 10.1137/120881361
2011: 1.
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

Journal articles (refereed)

J. Hahne, B. S. Southworth, S. Friedhoff, Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT), eingereicht, 2021.

M. Sugiyama, J. B. Schroder, B. S. Southworth, S. Friedhoff, Weighted Relaxation for Multigrid Reduction in Time, eingereicht, 2021.

J. Hahne, S. Friedhoff, M. Bolten, PyMGRIT: A Python Package for the parallel-in-time method MGRIT, ACM Trans. Math. Softw. (TOMS), 47 (2), S. 1-22, 2021, doi:10.1145/3446979.

M. Bolten, S. Friedhoff, J. Hahne, S. Schöps, Parallel-in-Time Simulation of an Electrical Machine using MGRIT, Comput. Vis. Sci., 23(1-4):14, 2020, doi:10.1007/s00791-020-00333-2.

I. Kulchytska-Ruchka, S. Schöps, M. Hinze, S. Friedhoff, S. Ulbrich, PASIROM: Parallel Simulation and Robust Optimization of Electro-Mechanical Energy Converters, KoMSO Success Stories, Mathematics in Industry, Springer, 2021.

H. De Sterck, R.D. Falgout, S. Friedhoff, O.A. Krzysik, S.P. MacLachlan, Optimizing MGRIT and Parareal coarse-grid operators for linear advection, Numer. Linear Alg. Appl., 28(4), e2367, 2021, doi:10.1002/nla.2367.

S. Friedhoff, B.S. Southworth, On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration, Numer. Linear Alg. Appl. 28(3), e2301, 2021, doi:10.1002/nla.2301.

H. De Sterck, S. Friedhoff, A.J.M. Howse, S.P. MacLachlan, Convergence analysis for parallel-in-time solution of hyperbolic systems, Numer. Linear Alg. Appl. 27(1), e2271, 2020, doi:10.1002/nla.2271.

R.D. Falgout, S. Friedhoff, Tz.V. Kolev, S.P. MacLachlan, J.B. Schroder, S. Vandewalle, Multigrid methods with space-time concurrency, Comput. Vis. Sci., 18(4-5):123-143, 2017, doi:10.1007/s00791-017-0283-9.

S. Friedhoff, S. MacLachlan, A generalized predictive analysis tool for multigrid methods, Numer. Linear Alg. Appl., 22:618-647, 2015, doi:10.1002/nla.1977.

R.D. Falgout, S. Friedhoff, Tz. V. Kolev, S.P. MacLachlan, J.B. Schroder, Parallel time integration with multigrid, SIAM J. Sci. Comput., 36:C625-C661, 2014, doi:10.1137/130944230.

S. Friedhoff, S. MacLachlan, C. Börgers, Local Fourier analysis of space-time relaxation and multigrid schemes, SIAM J. Sci. Comput., 35:S250-276, 2013, doi:10.1137/120881361.

M. Bolten, S. Friedhoff, A. Frommer, M. Heming, K. Kahl, Algebraic multigrid methods for Laplacians of graphs, Linear Algebra Appl., 434(11):2225-2243, 2011, doi:10.1016/j.laa.2010.11.008.

Conference proceedings (refereed)

S. Friedhoff, J. Hahne, I. Kulchytska-Ruchka, S. Schöps, Exploring Parallel-in-Time approaches for eddy current problems, In: I. Faragó, F. Izsák, P.L. Simon (Eds.) Progress in Industrial Mathematics at ECMI, Springer, 2019.

Conference proceedings (not refereed)

S. Friedhoff, J. Hahne, S. Schöps, Multigrid-reduction-in-time for Eddy Current Problems, PAMM, 19:e201900262, 2019, doi:10.1002/pamm.201900262.

A. Hessenthaler, S. Friedhoff, O. Röhrle, D.A. Nordsletten, 3D Fluid-Structure Interaction experiment and benchmark results, PAMM, 16:451-452, 2016, doi:10.1002/pamm.201610214.

R. Falgout, S. Friedhoff, Tz. Kolev, S. MacLachlan, J.B. Schroder, Parallel time integration with multigrid, PAMM, 14:951-952, 2014, doi:10.1002/pamm.201410456.

Technical reports

S. Friedhoff, R. Falgout, T. Kolev, S. MacLachlan, J. Schroder, A multigrid-in-time algorithm for solving evolution equations in parallel, Lawrence Livermore National Laboratory, March 2013 (LLNL-CONF-606952), Student paper winner, Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado.

Dissertation

S. Friedhoff, Design and analysis of multigrid methods for parabolic problems, Tufts University, 2014 (ProQuest LLC, Ann Arbor, MI).