% % This file was created by the TYPO3 extension % publications % --- Timezone: CEST % Creation date: 2024-03-29 % Creation time: 08:39:30 % --- Number of references % 115 % @Techreport { FasiGaudreaultLundSchweitzer2024, author = {Fasi, Massimiliano and Gaudreault, St{\'e}phane and Lund, Kathryn and Schweitzer, Marcel}, title = {Challenges in computing matrix functions}, year = {2024}, file_url = {https://arxiv.org/abs/2401.16132} } @Techreport { FrommerRamirezHidalgoSchweitzerTsolakis2024, author = {Frommer, Andreas and Ramirez-Hidalgo, Gustavo and Schweitzer, Marcel and Tsolakis, Manuel}, title = {Polynomial preconditioning for the action of the matrix square root and inverse square root}, year = {2024}, file_url = {https://arxiv.org/abs/2401.06684} } @Article { ArslanReltonSchweitzer2023, author = {Arslan, Bahar and Relton, Samuel D. and Schweitzer, Marcel}, title = {Structured level-2 condition numbers of matrix functions}, year = {2024}, DOI = {10.13001/ela.2024.7905}, journal = {Electron. J. Linear Algebra}, volume = {40}, pages = {28-47} } @Techreport { PalittaSchweitzerSimoncini2023, author = {Palitta, Davide and Schweitzer, Marcel and Simoncini, Valeria}, title = {Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions}, year = {2023}, DOI = {10.48550/arXiv.2306.06481} } @Article { LundSchweitzer2023, author = {Lund, Kathryn and Schweitzer, Marcel}, title = {The Frechet derivative of the tensor t-function}, year = {2023}, DOI = {10.1007/s10092-023-00527-3}, journal = {Calcolo}, volume = {60} } @Article { art:BOLT23c, author = {Bolten, Matthias and Friedhoff, S. and Hahne, J.}, title = {Task graph-based performance analysis of parallel-in-time methods}, year = {2023}, DOI = {10.1016/j.parco.2023.103050}, journal = {Parallel Comput.}, volume = {118}, pages = {103050} } @Article { MR4582119, author = {Bolten, Matthias and Donatelli, Marco and Ferrari, Paola and Furci, Isabella}, title = {Symbol based convergence analysis in multigrid methods for saddle point problems}, year = {2023}, DOI = {10.1016/j.laa.2023.04.016}, journal = {Linear Algebra Appl.}, volume = {671}, pages = {67--108} } @Article { art:BOLT23b, author = {Bolten, Matthias and Donatelli, M. and Ferrari, P. and Furci, I.}, title = {Symbol based convergence analysis in block multigrid methods with applications for Stokes problems}, year = {2023}, DOI = {10.1016/j.apnum.2023.07.016}, journal = {Appl. Numer. Math.}, volume = {193}, pages = {109-130} } @Techreport { PalittaSchweitzerSimoncini2023b, author = {Palitta, Davide and Schweitzer, Marcel and Simoncini, Valeria}, title = {Sketched and truncated polynomial Krylov methods: Matrix Equations}, year = {2023}, DOI = {10.48550/arXiv.2311.16019} } @Article { art:BOLT23, author = {Bolten, Matthias and Ekstr{\{\dq}o}m, S.-E. and Furci, I. and Serra-Capizzano, S.}, title = {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}, year = {2023}, DOI = {10.1553/etna_vol58s136}, journal = {Electron. Trans. Numer. Anal.}, volume = {58}, pages = {136--163} } @Article { Schweitzer2023b, author = {Schweitzer, Marcel}, title = {Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds}, year = {2023}, DOI = {10.1137/23M1556708}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {44}, pages = {1321-1348}, number = {3} } @Article { FrommerKahlSchweitzerTsolakis2022, author = {Frommer, Andreas and Kahl, Karsten and Schweitzer, Marcel and Tsolakis, Manuel}, title = {Krylov subspace restarting for matrix Laplace transforms}, year = {2023}, DOI = {10.1137/22M1499674}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {44}, pages = {693-717}, number = {2} } @Article { BotchevKnizhnermanSchweitzer2022, author = {Botchev, M. A. and Knizhnerman, L. A. and Schweitzer, M.}, title = {Krylov subspace residual and restarting for certain second order differential equations}, year = {2023}, DOI = {10.1137/22M1503300}, journal = {SIAM J. Sci. Comput.}, pages = {S223-S253} } @Article { Schweitzer2023, author = {Schweitzer, Marcel}, title = {Integral representations for higher-order Frechet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number}, year = {2023}, DOI = {10.1016/j.laa.2022.10.005}, journal = {Linear Algebra Appl.}, volume = {656}, pages = {247-276} } @Techreport { FrommerRinelliSchweitzer2023, author = {Frommer, Andreas and Rinelli, Michele and Schweitzer, Marcel}, title = {Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices}, year = {2023}, DOI = {10.48550/arXiv.2308.07722} } @Article { GuettelSchweitzer2022, author = {G{\{\dq}u}ttel, Stefan and Schweitzer, Marcel}, title = {Randomized sketching for Krylov approximations of large-scale matrix functions}, year = {2023}, DOI = {10.1137/22M1518062}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {44}, pages = {1073-1095} } @Article { Schweitzer2022a, author = {Schweitzer, Marcel}, title = {Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian}, year = {2022}, DOI = {10.1553/etna_vol55s438}, journal = {Electron. Trans. Numer. Anal.}, volume = {55}, pages = {438-454} } @Article { art:BOLT22a, author = {Bolten, Matthias and Ekstr{\{\dq}o}m, S.-E. and Furci, I. and Serra-Capizzano, S.}, title = {Toeplitz Momentary Symbols: definition, results, and limitations in the spectral analysis of structured matrices}, year = {2022}, DOI = {10.1016/j.laa.2022.06.017}, journal = {Linear Algebra Appl.}, volume = {651}, pages = {51-82} } @Article { art:BOLT21a, author = {Bolten, Matthias and Sturler, E. De and Hahn, C.}, title = {Krylov Subspace Recycling for Evolving Structures}, year = {2022}, DOI = {10.1016/j.cma.2021.114222}, journal = {Comput. Methods Appl. Mech. Engrg.}, volume = {391}, pages = {114222} } @Inproceedings { inp:YODA22, author = {Yoda, R. and Bolten, Matthias and Nakajima, K. and Fujii, A.}, title = {Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time}, year = {2022}, DOI = {10.1145/3492805.3492810}, booktitle = {Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region}, pages = {41-51} } @Inproceedings { inp:YODA22a, author = {Yoda, R. and Bolten, Matthias and Nakajima, K. and Fujii, A.}, title = {Acceleration of optimized coarse-grid operators by spatial redistribution for multigrid reduction in time}, year = {2022}, DOI = {10.1007/978-3-031-08754-7_29}, booktitle = {Computational Science - ICCS 2022}, publisher = {Springer International Publishing}, address = {Cham}, editor = {Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A.}, pages = {214-221} } @Article { MR4389580, author = {Bolten, Matthias and Donatelli, Marco and Ferrari, Paola and Furci, Isabella}, title = {A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems}, year = {2022}, issn = {0895-4798}, DOI = {10.1137/21M1390554}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {43}, pages = {405-438}, number = {1} } @Article { MR4284081, author = {Donatelli, Marco and Ferrari, Paola and Furci, Isabella and Serra-Capizzano, Stefano and Sesana, Debora}, title = {Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications}, year = {2021}, issn = {1070-5325}, DOI = {10.1002/nla.2356}, journal = {Numer. Linear Algebra Appl.}, volume = {28}, pages = {Paper No. e2356, 20}, number = {4} } @Misc { MSugiyama_etal_2021, author = {Sugiyama, M. and Schroder, J. B. and Southworth, B. S. and Friedhoff, S.}, title = {Weighted Relaxation for Multigrid Reduction in Time}, year = {2021}, DOI = {10.48550/arXiV.2107.02290} } @Article { art:BOLT21, author = {Bolten, Matthias and Doganay, O. T. and Gottschalk, H. and Klamroth, K.}, title = {Tracing locally Pareto optimal points by numerical integration}, year = {2021}, DOI = {10.1137/20M1341106}, journal = {SIAM J. Control Optim.}, volume = {59}, pages = {3302-3328}, number = {5} } @Article { art:HAUS21, author = {Haussmann, N. and Zang, M. and Mease, R. and Clemens, M. and Schmuelling, B. and Bolten, Matthias}, title = {Towards real-time magnetic dosimetry simulations for inductive charging systems}, year = {2021}, DOI = {10.1108/COMPEL-03-2021-0084}, journal = {COMPEL} } @Incollection { KulchytskaRuchka_etal_2021, author = {Kulchytska-Ruchka, I. and Sch{\{\dq}o}ps, S. and Hinze, M. and Friedhoff, S. and Ulbrich, S.}, title = {PASIROM: parallel simulation and robust optimization of electro-mechanical energy converters}, year = {2021}, DOI = {10.1007/978-3-030-81455-7\_22}, booktitle = {German success stories in industrial mathematics}, volume = {35}, publisher = {Springer, Cham}, series = {Math. Ind.}, pages = {135-140} } @Article { DeSterck_etal_2021, author = {De Sterck, H. and Falgout, R. D. and Friedhoff, S. and Krzysik, O. A. and MacLachlan, S. P.}, title = {Optimizing multigrid reduction-in-time and parareal coarse-grid operators for linear advection}, year = {2021}, DOI = {10.1002/nla.2367}, journal = {Numer. Linear Algebra Appl.}, volume = {28}, pages = {Paper No. e2367, 22}, number = {4} } @Article { SFriedhoff_BSSouthworth_2021, author = {Friedhoff, S. and Southworth, B. S.}, title = {On {\dq}optimal{\dq} $h$-independent convergence of parareal and multigrid-reduction-in-time using Runge-Kutta time integration}, year = {2021}, DOI = {10.1002/nla.2301}, journal = {Numer. Linear Algebra Appl.}, volume = {28}, pages = {Paper No. e2301, 30}, number = {3} } @Article { art:CLAU21, author = {Claus, L. and Bolten, Matthias}, title = {Non-overlapping block smoothers for the Stokes equations}, year = {2021}, DOI = {10.1002/nla.2389}, journal = {Num. Lin. Alg. Appl.}, volume = {28}, pages = {e2389}, number = {6} } @Article { MR4284784, author = {Ferrari, Paola and Furci, Isabella and Serra-Capizzano, Stefano}, title = {Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences}, year = {2021}, DOI = {10.13001/ela.2021.5775}, journal = {Electron. J. Linear Algebra}, volume = {37}, pages = {370-386} } @Inproceedings { art:BACK21, author = {Backhaus, J. and Bolten, Matthias and Doganay, O. T. and Ehrhardt, M. and Engel, B. and Frey, Ch. and Gottschalk, H. and G{\{\dq}u}nther, M. and Hahn, C. and J{\{\dq}a}schke, J. and Jaksch, P. and Klamroth, K. and Liefke, A. and Luft, D. and M{\{\dq}a}de, L. and Marciniak, V. and Reese, M. and Schultes, J. and Schulz, V.}, title = {GivEn - Shape Optimization for Gas Turbines in Volatile Energy Networks}, year = {2021}, DOI = {10.1007/978-3-030-62732-4_4}, booktitle = {Mathematical Modeling, Simulation and Optimization for Power Engineering and Management}, volume = {34}, publisher = {Springer}, address = {Cham}, series = {Mathematics in Industry}, editor = {S. G{\{\dq}o}ttlich and M. Herty and A. Milde} } @Article { BeckermannCortinovisKressnerSchweitzer2021, author = {Beckermann, Bernhard and Cortinovis, Alice and Kressner, Daniel and Schweitzer, Marcel}, title = {Low-rank updates of matrix functions II: Rational Krylov methods}, year = {2021}, DOI = {10.1137/20M1362553}, journal = {SIAM J. Numer. Anal.}, volume = {59}, pages = {1325-1347}, number = {3} } @Article { FrommerSchimmelSchweitzer2021, author = {Frommer, Andreas and Schimmel, Claudia and Schweitzer, Marcel}, title = {Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions}, year = {2021}, DOI = {10.1137/20M1364461}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {42}, pages = {1290-1318}, number = {3} } @Article { GuettelSchweitzer2021, author = {G{\{\dq}u}ttel, Stefan and Schweitzer, Marcel}, title = {A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices}, year = {2021}, DOI = {10.1137/20M1351072}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {42}, pages = {83-107}, number = {1} } @Article { JHahne_etal_2021, author = {Hahne, J. and Friedhoff, S. and Bolten, Matthias}, title = {Algorithm 1016: PyMGRIT: a Python package for the parallel-in-time method MGRIT}, year = {2021}, DOI = {10.1145/3446979}, journal = {ACM Trans. Math. Software}, volume = {47}, pages = {Art. 19, 22}, number = {2} } @Article { MR4309801, author = {Ferrari, Paola and Garoni, Carlo and Serra-Capizzano, Stefano}, title = {Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation}, year = {2021}, DOI = {10.1007/s10915-021-01567-z}, journal = {J. Sci. Comput.}, volume = {89}, pages = {Paper No. 20, 21}, number = {1} } @Article { MR4184088, author = {Ferrari, Paola and Serra-Capizzano, Stefano}, title = {Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning}, year = {2021}, DOI = {10.1002/nla.2332}, journal = {Numer. Linear Algebra Appl.}, volume = {28}, pages = {Paper No. e2332, 16}, number = {1} } @Article { KandolfKoskelaReltonSchweitzer2021, author = {Kandolf, Peter and Koskela, Antti and Relton, Samuel D. and Schweitzer, Marcel}, title = {Computing low-rank approximations of the Frechet derivative of a matrix function using Krylov subspace methods}, year = {2021}, issn = {1070-5325}, DOI = {10.1002/nla.2401}, journal = {Numer. Linear Algebra Appl.}, volume = {28}, pages = {e2401, 31}, number = {6} } @Article { art:STAP21, author = {Stapmanns, J. and Hahne, J. and Helias, M. and Bolten, Matthias and Diesmann, M. and Dahmen, D.}, title = {Event-based update of synapses in voltage-based learning rules}, year = {2021}, DOI = {10.3389/fninf.2021.609147}, journal = {Front. Neuroinform.}, volume = {15}, pages = {15} } @Misc { JHahne_etal_2021, author = {Hahne, J. and Southworth, B. S. and Friedhoff, S.}, title = {Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT)}, year = {2021}, DOI = {10.48550/arXiV.2107.09596} } @Inproceedings { inp:KAWA20, author = {Kawai, M. and Ida, A. and Matsuba, H. and Nakajima, K. and Bolten, Matthias}, title = {Multiplicative Schwartz-Type Block Multi-Color Gauss-Seidel Smoother for Algebraic Multigrid Methods}, year = {2020}, DOI = {10.1145/3368474.3368481}, booktitle = {Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region}, publisher = {ACM}, address = {New York}, pages = {217-226} } @Article { MR4188673, author = {Durastante, Fabio and Furci, Isabella}, title = {Spectral analysis of saddle-point matrices from optimization problems with elliptic PDE constraints}, year = {2020}, DOI = {10.13001/ela.2020.5151}, journal = {Electron. J. Linear Algebra}, volume = {36}, pages = {773-798} } @Article { MBolten_etal_2020, author = {Bolten, Matthias and Friedhoff, S. and Hahne, J. and Sch{\{\dq}o}ps, S.}, title = {Parallel-in-time simulation of an electrical machine using MGRIT}, year = {2020}, DOI = {10.1007/s00791-020-00333-2}, journal = {Comput. Vis. Sci.}, volume = {23}, pages = {Paper No. 14, 14}, number = {1-4} } @Article { FRTBS, author = {Ferrari, P. and Serra-Capizzano, S.}, title = {Multigrid for $\mathbb{Q}_{k}$ Finite Element Matrices using a (block) Toeplitz symbol approach}, year = {2020}, DOI = {10.3390/math8010005}, journal = {Mathematics}, volume = {8}, pages = {Paper No. 5}, number = {1} } @Inproceedings { inp:LENG20, author = {Lengauer, C. and Apel, S. and Bolten, Matthias and Chiba, S. and R{\{\dq}u}de, U. and Teich, J. and Gr{\{\dq}o}{\{\dq}s}linger, A. and Hannig, F. and K{\{\dq}o}stler, H. and Claus, L. and Grebhahn, A. and Groth, S. and Kronawitter, S. and Kuckuk, S. and Rittich, H. and Schmitt, C. and Schmitt, J.}, title = {ExaStencils: Advanced Multigrid Solver Generation}, year = {2020}, DOI = {10.1007/978-3-030-47956-5_14}, booktitle = {Software for Exascale Computing - SPPEXA 2016-2019}, volume = {136}, publisher = {Springer}, address = {Cham}, series = {LNCS}, editor = {H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel}, pages = {405-452} } @Article { DeSterck_etal_2020, author = {De Sterck, H. and Friedhoff, S. and Howse, A. J. M. and MacLachlan, S. P.}, title = {Convergence analysis for parallel-in-time solution of hyperbolic systems}, year = {2020}, DOI = {10.1002/nla.2271}, journal = {Numer. Linear Algebra Appl.}, volume = {27}, pages = {e2271, 31}, number = {1} } @Inproceedings { Friedhoff_2019, author = {Friedhoff, S. and Hahne, J. and Kulchytska-Ruchka, I. and Sch{\{\dq}o}ps, S.}, title = {Exploring Parallel-in-Time Approaches for Eddy Current Problems}, year = {2019}, DOI = {10.1007/978-3-030-27550-1_47}, booktitle = {Progress in Industrial Mathematics at ECMI 2018}, volume = {30}, publisher = {Springer International Publishing}, series = {The European Consortium for Mathematics in Industry}, editor = {Farago, Istvan and Izsak, Ferenc and Simon, Peter L.}, pages = {373-379} } @Article { art:BOLT19b, author = {Bolten, Matthias and Claus, L.}, title = {Local Fourier Analysis of multigrid methods for the Stokes problem}, year = {2019}, DOI = {10.1002/pamm.201900394}, journal = {PAMM}, volume = {19}, pages = {e201900394} } @Article { SFriedhoff_etal_2019a, author = {Friedhoff, S. and Hahne, J. and Sch{\{\dq}o}ps, S.}, title = {Multigrid-reduction-in-time for Eddy Current problems}, year = {2019}, DOI = {10.1002/pamm.201900262}, journal = {PAMM}, volume = {19}, pages = {e201900262}, number = {1} } @Article { art:BOLT19, author = {Bolten, Matthias and Gottschalk, H. and Hahn, C. and Saadi, M.}, title = {Numerical shape optimization to decrease failure probability of ceramic structures}, year = {2019}, DOI = {10.1007/s00791-019-00315-z}, journal = {Comput. Vis. Sci.}, volume = {21}, pages = {1-10} } @Article { MR4002720, author = {Ferrari, Paola and Furci, Isabella and Hon, Sean and Mursaleen, Mohammad Ayman and Serra-Capizzano, Stefano}, title = {The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures}, year = {2019}, issn = {0895-4798}, DOI = {10.1137/18M1207399}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {40}, pages = {1066-1086}, number = {3} } @Inproceedings { inp:BOLT19, author = {Bolten, Matthias and Hahn, C.}, title = {Using composite finite elements for shape optimization with a stochastic objective functional}, year = {2019}, DOI = {10.1007/978-3-030-27550-1_65}, booktitle = {Progress in Industrial Mathematics at ECMI 2018}, volume = {30}, publisher = {Springer}, address = {Cham}, series = {Mathematics in Industry}, editor = {I. Farago and F. Izsak and P. L. Simon}, pages = {515-520} } @Article { art:BOLT19a, author = {Bolten, Matthias and Hahne, J.}, title = {An SDE-waveform relaxation method with application in distributed neural network simulations}, year = {2019}, DOI = {10.1002/pamm.201900373}, journal = {PAMM}, volume = {19}, pages = {e201900373} } @Article { BeckermannKressnerSchweitzer2018, author = {Beckermann, Bernhard and Kressner, Daniel and Schweitzer, Marcel}, title = {Low-rank updates of matrix functions}, year = {2018}, DOI = {10.1137/17M1140108}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {39}, pages = {539-565}, number = {1} } @Article { MR3859143, author = {Dumbser, M. and Fambri, F. and Furci, I. and Mazza, M. and Serra-Capizzano, S. and Tavelli, M.}, title = {Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results}, year = {2018}, issn = {1070-5325}, DOI = {10.1002/nla.2151}, journal = {Numer. Linear Algebra Appl.}, volume = {25}, pages = {e2151, 31}, number = {5} } @Article { FrommerSchimmelSchweitzer2018b, author = {Frommer, Andreas and Schimmel, Claudia and Schweitzer, Marcel}, title = {Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices}, year = {2018}, DOI = {10.1553/etna_vol48s362}, journal = {Electron. Trans. Numer. Anal.}, volume = {48}, pages = {362-372} } @Article { art:BOLT18b, author = {Bolten, Matthias and Kahl, K. and Kressner, D. and Macedo, F. and Sokolovi{\c}, S.}, title = {Multigrid methods combined with low-rank approximation for tensor-structured Markov chains}, year = {2018}, journal = {Electron. Trans. Numer. Anal.}, volume = {48}, pages = {348-361}, file_url = {http://etna.mcs.kent.edu/vol.48.2018/pp348-361.dir/pp348-361.pdf} } @Article { FrommerSchimmelSchweitzer2018a, author = {Frommer, Andreas and Schimmel, Claudia and Schweitzer, Marcel}, title = {Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices}, year = {2018}, DOI = {10.1002/nla.2131}, journal = {Numer. Linear Algebra Appl.}, volume = {25}, pages = {e2131, 17}, number = {4} } @Article { art:BOLT18, author = {Bolten, Matthias and Rittich, H.}, title = {Fourier analysis of periodic stencils in multigrid methods}, year = {2018}, DOI = {10.1137/16M1073959}, journal = {SIAM J. Sci. Comput.}, volume = {40}, pages = {A1642-A1668}, number = {3} } @Article { art:BOLT18a, author = {Bolten, Matthias and Moser, D. and Speck, R.}, title = {Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems}, year = {2018}, DOI = {10.1002/nla.2208}, journal = {Numer. Lin. Alg. Appl.}, volume = {25}, pages = {e2208}, number = {6} } @Article { MR3859168, author = {Ekstr{\{\dq}o}m, Sven-Erik and Furci, Isabella and Garoni, Carlo and Manni, Carla and Serra-Capizzano, Stefano and Speleers, Hendrik}, title = {Are the eigenvalues of the B-spline isogeometric analysis approximation of $-\Delta u=\lambda u$ known in almost closed form?}, year = {2018}, issn = {1070-5325}, DOI = {10.1002/nla.2198}, journal = {Numer. Linear Algebra Appl.}, volume = {25}, pages = {e2198, 34}, number = {5} } @Article { MR3816229, author = {Ahmad, Fayyaz and Al-Aidarous, Eman Salem and Alrehaili, Dina Abdullah and Ekstr{\{\dq}o}m, Sven-Erik and Furci, Isabella and Serra-Capizzano, Stefano}, title = {Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?}, year = {2018}, issn = {1017-1398}, DOI = {10.1007/s11075-017-0404-z}, journal = {Numer. Algorithms}, volume = {78}, pages = {867-893}, number = {3} } @Article { MR3882977, author = {Ekstr{\{\dq}o}m, Sven-Erik and Furci, Isabella and Serra-Capizzano, Stefano}, title = {Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices}, year = {2018}, issn = {0006-3835}, DOI = {10.1007/s10543-018-0715-z}, journal = {BIT}, volume = {58}, pages = {937-968}, number = {4} } @Inproceedings { inp:ELSA17, author = {Sayed, S. El and Bolten, Matthias and Pleiter, D.}, title = {Parallel I/O architecture modelling based on file system counters}, year = {2017}, DOI = {10.1007/978-3-319-46079-6_43}, booktitle = {High Performance Computing. ISC High Performance 2016}, volume = {9945}, publisher = {Springer}, series = {LNCS}, editor = {M. Taufer and B. Mohr and J. Kunkel}, pages = {627-637} } @Article { art:GREB17, author = {Grebhahn, A. and Engwer, C. and Bolten, Matthias and Apel, S.}, title = {Variability of stencil computations for porous media applications}, year = {2017}, DOI = {10.1002/cpe.4119}, journal = {CCPE}, volume = {29}, pages = {e4119}, number = {17} } @Article { FrommerLundSchweitzerSzyld2017, author = {Frommer, Andreas and Lund, Kathryn and Schweitzer, Marcel and Szyld, Daniel B.}, title = {The Radau-Lanczos method for matrix functions}, year = {2017}, DOI = {10.1137/16M1072565}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {38}, pages = {710-732}, number = {3} } @Article { RDFalgout_etal_2017, author = {Falgout, R. D. and Friedhoff, S. and Kolev, Tz. V. and MacLachlan, S. P. and Schroder, J. B. and Vandewalle, S.}, title = {Multigrid methods with space-time concurrency}, year = {2017}, DOI = {10.1007/s00791-017-0283-9}, journal = {Comput. Vis. Sci.}, volume = {18}, pages = {123-143}, number = {4-5} } @Article { art:HAHN17, author = {Hahne, J. and Dahmen, D. and Schuecker, J. and Frommer, A. and Bolten, Matthias and Helias, M. and Diesmann, M.}, title = {Integration of continuous-time dynamics in a spiking neural network simulator}, year = {2017}, DOI = {10.3389/fninf.2017.00034}, journal = {Front. Neuroinform.}, volume = {11}, pages = {00034} } @Article { art:BOLT17a, author = {Bolten, Matthias and Franchetti, F. and Kelly, P. H. and Lengauer, C. and Mohr, M.}, title = {Algebraic description and automatic generation of multigrid methods in SPIRAL}, year = {2017}, DOI = {10.1002/cpe.4105}, journal = {CCPE}, volume = {29}, pages = {e4105}, number = {17} } @Article { Schweitzer2017, author = {Schweitzer, Marcel}, title = {A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching}, year = {2017}, DOI = {10.1007/s11075-016-0239-z}, journal = {Numer. Algorithms}, volume = {76}, pages = {1-31}, number = {1} } @Article { art:BOLT17, author = {Bolten, Matthias and Moser, D. and Speck, R.}, title = {A multigrid perspective on the parallel full approximation scheme in space and time}, year = {2017}, DOI = {10.1002/nla.2110}, journal = {Numer. Lin. Alg. Appl.}, volume = {24}, pages = {e2110}, number = {6} } @Article { art:BOLT16, author = {Bolten, Matthias and Kahl, K. and Sokolovi{\c}, S.}, title = {Multigrid methods for Tensor structured Markov chains with low rank approximation}, year = {2016}, DOI = {10.1137/140994447}, journal = {SIAM J. Sci. Comput.}, volume = {38}, pages = {A649-A667}, number = {2} } @Article { art:ELSA16, author = {Sayed, S. El and Bolten, Matthias and Pleiter, D.}, title = {Using file system counters in modelling parallel I/O architectures}, year = {2016}, DOI = {10.1145/3041710.3041716}, journal = {ACM SIGOPS OSR}, volume = {50}, pages = {37-46}, number = {2} } @Article { art:BOLT16a, author = {Bolten, Matthias and Huckle, T. and Kravvaritis, C.}, title = {Sparse matrix approximations and the convergence of multigrid methods}, year = {2016}, DOI = {10.1016/j.laa.2015.11.008}, journal = {Linear Algebra Appl.}, volume = {502}, pages = {58-76} } @Phdthesis { Schweitzer2016c, author = {Schweitzer, Marcel}, title = {Restarting and error estimation in polynomial and extended Krylov subspace methods for the approximation of matrix functions}, year = {2016}, school = {Bergische Universit{\{\dq}a}t Wuppertal, Fakult{\{\dq}a}t f{\{\dq}u}r Mathematik und Naturwissenschaften}, file_url = {http://elpub.bib.uni-wuppertal.de/servlets/DocumentServlet?id=5590} } @Inproceedings { inp:ELSA16, author = {Sayed, S. El and Bolten, Matthias and Pleiter, D. and Frings, W.}, title = {Parallel I/O characterisation based on server- side performance counters}, year = {2016}, DOI = {10.1109/PDSW-DISCS.2016.006}, booktitle = {2016 1st Joint International Workshop on Parallel Data Storage and data Intensive Scalable Computing Systems (PDSW-DISCS)}, pages = {7-12} } @Article { AHessenthaler_etal_2016, author = {Hessenthaler, A. and Friedhoff, S. and R{\{\dq}o}hrle, O. and Nordsletten, D. A.}, title = {3D Fluid-Structure Interaction Experiment and Benchmark Results}, year = {2016}, DOI = {10.1002/pamm.201610214}, journal = {PAMM}, volume = {16}, pages = {451-452}, number = {1} } @Article { Schweitzer2016b, author = {Schweitzer, Marcel}, title = {Monotone convergence of the extended Krylov subspace method for Laplace-Stieltjes functions of Hermitian positive definite matrices}, year = {2016}, DOI = {10.1016/j.laa.2016.06.041}, journal = {Linear Algebra Appl.}, volume = {507}, pages = {486-498} } @Inproceedings { inp:BOLT16, author = {Bolten, Matthias and Letterer, O.}, title = {Increasing arithmetic intensity in multigrid methods on GPUs using block smoothers}, year = {2016}, DOI = {10.1007/978-3-319-32149-3_48}, booktitle = {PPAM 2015, Part I}, volume = {9573}, publisher = {Springer}, series = {LNCS}, editor = {R. Wyrzykowski and E. Deelman and J. Dongarra and K. Karczewski and J. Kitowski and K. Wiatr}, pages = {515-525} } @Inproceedings { inp:HAHN16, author = {Hahne, J. and Helias, M. and Kunkel, S. and Igarashi, J. and Kitayama, I. and Wylie, B. and Bolten, Matthias and Frommer, A. and Diesmann, M.}, title = {Including Gap Junctions into Distributed Neuronal Network Simulations}, year = {2016}, DOI = {10.1007/978-3-319-50862-7_4}, booktitle = {Brain-Inspired Computing. BrainComp 2015}, volume = {10087}, publisher = {Springer}, series = {LNCS}, editor = {K. Amunts and L. Grandinetti and T. Lippert and N. Petkov}, pages = {43-57} } @Article { FrommerSchweitzer2016, author = {Frommer, Andreas and Schweitzer, Marcel}, title = {Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions}, year = {2016}, DOI = {10.1007/s10543-015-0596-3}, journal = {BIT}, volume = {56}, pages = {865-892}, number = {3} } @Article { Schweitzer2016a, author = {Schweitzer, Marcel}, title = {Any finite convergence curve is possible in the initial iterations of restarted FOM}, year = {2016}, journal = {Electron. Trans. Numer. Anal.}, volume = {45}, pages = {133-145}, file_url = {https://etna.math.kent.edu/volumes/2011-2020/vol45/abstract.php?vol=45{\\&}pages=133-145} } @Article { art:BOLT15, author = {Bolten, Matthias and Gottschalk, H. and Schmitz, S.}, title = {Minimal failure probability for ceramic design via shape control}, year = {2015}, DOI = {10.1007/s10957-014-0621-8}, journal = {J. Optim. Theory Appl.}, volume = {166}, pages = {983-1001} } @Article { art:MINI15, author = {Minion, M. L. and Speck, R. and Bolten, Matthias and Emmett, M. and Ruprecht, D.}, title = {Interweaving PFASST and parallel multigrid}, year = {2015}, DOI = {10.1137/14097536X}, journal = {SIAM J. Sci. Comput.}, volume = {37}, pages = {S244-S263}, number = {5} } @Article { art:BOLT15a, author = {Bolten, Matthias and Donatelli, M. and Huckle, T. and Kravvaritis, C.}, title = {Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices}, year = {2015}, DOI = {10.1007/s10543-014-0512-2}, journal = {BIT}, volume = {55}, pages = {341-366} } @Article { art:BOLT15b, author = {Bolten, Matthias and Donatelli, M. and Huckle, T.}, title = {Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices}, year = {2015}, journal = {Electron. Trans. Numer. Anal.}, volume = {44}, pages = {25-52}, file_url = {http://etna.mcs.kent.edu/vol.44.2015/pp25-52.dir/pp25-52.pdf} } @Article { art:SPEC15, author = {Speck, R. and Ruprecht, D. and Emmett, M. and Minion, M. and Bolten, Matthias and Krause, R.}, title = {A multi-level spectral deferred correction method}, year = {2015}, DOI = {10.1007/s10543-014-0517-x}, journal = {BIT}, volume = {55}, pages = {843-867} } @Article { SFriedhoff_SMachLachlan_2015, author = {Friedhoff, S. and MacLachlan, S.}, title = {A generalized predictive analysis tool for multigrid methods}, year = {2015}, DOI = {10.1002/nla.1977}, journal = {Numer. Linear Algebra Appl.}, volume = {22}, pages = {618-647}, number = {4} } @Article { art:HAHN15, author = {Hahne, J. and Helias, M. and Kunkel, S. and Igarashi, J. and Bolten, Matthias and Frommer, A. and Diesmann, M.}, title = {A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations}, year = {2015}, DOI = {10.3389/fninf.2015.00022}, journal = {Front. Neuroinform.}, volume = {9}, pages = {00022} } @Inproceedings { inp:SPEC13, author = {Speck, R. and Ruprecht, D. and Emmett, M. and Bolten, Matthias and Krause, R.}, title = {A space-time parallel solver for the three-dimensional heat equation}, year = {2014}, DOI = {10.3233/978-1-61499-381-0-263}, booktitle = {Parallel Computing: Accelerating Computational Science and Engineering (CSE)}, volume = {25}, publisher = {IOS Press}, series = {Advances in Parallel Computing 25}, editor = {M. Bader and A. Bode and H.-J. Bungartz and M. Gerndt and G.R. Joubert and F. Peters}, pages = {263-272} } @Article { FrommerGuettelSchweitzer2014b, author = {Frommer, Andreas and G{\{\dq}u}ttel, Stefan and Schweitzer, Marcel}, title = {Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices}, year = {2014}, DOI = {10.1137/140973463}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {35}, pages = {1602-1624}, number = {4} } @Article { FrommerGuettelSchweitzer2014a, author = {Frommer, Andreas and G{\{\dq}u}ttel, Stefan and Schweitzer, Marcel}, title = {Efficient and stable Arnoldi restarts for matrix functions based on quadrature}, year = {2014}, DOI = {10.1137/13093491X}, journal = {SIAM J. Matrix Anal. Appl.}, volume = {35}, pages = {661-683}, number = {2} } @Inproceedings { inp:BOLT14, author = {Bolten, Matthias}, title = {Evaluation of a multigrid solver for 3-level Toeplitz and circulant matrices on Blue Gene/Q}, year = {2014}, organization = {John-von-Neumann Institute for Computing}, booktitle = {Proceedings of the NIC Symposium 2014}, volume = {47}, address = {J{\{\dq}u}lich}, series = {NIC series}, editor = {K. Binder and G. M{\{\dq}U}nster and M. Kremer}, pages = {345-352} } @Inproceedings { inp:LENG14, author = {Lengauer, C. and Apel, S. and Bolten, Matthias and Gr{\{\dq}o}{\{\dq}s}linger, A. and Hannig, F. and R{\{\dq}u}de, U. and Teich, J. and Grebhahn, A. and Kronawitter, S. and Kuckuk, S. and Rittich, H. and Schmitt, C.}, title = {ExaStencils: Advanced stencil-code engineering}, year = {2014}, DOI = {10.1007/978-3-319-14313-2_47}, booktitle = {Euro-Par 2014: Parallel Processing Workshops - Euro-Par 2014 International Workshops, Porto, Portugal, August 25-26, 2014, Revised Selected Papers, Part II}, volume = {8806}, publisher = {Springer}, series = {LNCS}, pages = {553-564} } @Article { RDFalgout_etal_2014a, author = {Falgout, R. D. and Friedhoff, S. and Kolev, Tz. V. and MacLachlan, S. and Schroder, J. B.}, title = {Parallel time integration with multigrid}, year = {2014}, DOI = {10.1002/pamm.201410456}, journal = {PAMM}, volume = {14}, pages = {951-952}, number = {1} } @Article { art:ARNO13, author = {Arnold, A. and Bolten, Matthias and Dachsel, H. and Fahrenberger, F. and G{\{\dq}a}hler, F. and Halver, R. and Heber, F. and Hofmann, M. and Holm, C. and Iseringhausen, J. and Kabadshow, I. and Lenz, O. and Pippig, M. and Potts, D. and Sutmann, G.}, title = {Comparison of Scalable Fast Methods for Long-Range Interactions}, year = {2013}, DOI = {10.1103/PhysRevE.88.063308}, journal = {Phys. Rev. E}, volume = {88}, pages = {063308} } @Inproceedings { inp:RUPR13, author = {Ruprecht, D. and Speck, R. and Emmett, M. and Bolten, Matthias and Krause, R.}, title = {Extreme- scale space-time parallelism}, year = {2013}, booktitle = {2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC), Denver, CO, USA}, file_url = {http://sc13.supercomputing.org/sites/default/files/PostersArchive/post148.html} } @Article { SFriedhoff_etal_2013, author = {Friedhoff, S. and MacLachlan, S. and B{\{\dq}o}rgers, C.}, title = {Local Fourier analysis of space-time relaxation and multigrid schemes}, year = {2013}, DOI = {10.1137/120881361}, journal = {SIAM J. Sci. Comput.}, volume = {35}, pages = {S250-S276}, number = {5} } @Article { art:BOLT13, author = {Bolten, Matthias and Bozovic, N. and Frommer, A.}, title = {Preconditioning of Krylov subspace methods using recycling in Lattice QCD Computations}, year = {2013}, DOI = {10.1002/pamm.201310202}, journal = {PAMM}, volume = {13}, pages = {413-414} } @Article { art:BOLT12, author = {Bolten, Matthias and Kahl, K.}, title = {Using block smoothers in multigrid methods}, year = {2012}, DOI = {10.1002/pamm.201210311}, journal = {PAMM}, volume = {12}, pages = {645-646} } @Article { art:SAMI12, author = {Samiei, K. and Peters, B. and Bolten, Matthias and Frommer, A.}, title = {Assessment of the potentials of implicit integration methods in discrete element modelling of granular matter}, year = {2012}, DOI = {10.1016/j.compchemeng.2012.10.009}, journal = {Comput. Chem. Eng.}, volume = {49}, pages = {183-193} } @Article { art:THIE12, author = {Thiess, A. and Zeller, R. and Bolten, Matthias and Dederichs, P. H. and Bl{\{\dq}u}gel, S.}, title = {Massively parallel density functional calculations for thousands of atoms: KKRnano}, year = {2012}, DOI = {10.1103/PhysRevB.85.235103}, journal = {Phys. Rev. B}, volume = {85}, pages = {235103} } @Article { art:BOLT11a, author = {Bolten, Matthias and Brandt, A. and Brannick, J. and Frommer, A. and Kahl, K. and Livshits, I.}, title = {A bootstrap algebraic multilevel method for Markov chains}, year = {2011}, DOI = {10.1137/100791816}, journal = {SIAM J. Sci. Comput.}, volume = {33}, pages = {3425-3446}, number = {6} } @Article { MBolten_etal_2011, author = {Bolten, Matthias and Friedhoff, S. and Frommer, A. and Heming, M. and Kahl, K.}, title = {Algebraic multigrid methods for Laplacians of graphs}, year = {2011}, DOI = {10.1016/j.laa.2010.11.008}, journal = {Linear Algebra Appl.}, volume = {434}, pages = {2225-2243}, number = {11} } @Inproceedings { inp:BOLT11d, author = {Bolten, Matthias and Brinkers, D. and R{\{\dq}u}de, U. and St{\{\dq}u}rmer, M.}, title = {Implementation of multigrid on QPACE}, year = {2011}, DOI = {10.1109/CLUSTER.2011.48}, booktitle = {2011 IEEE International Conference on Cluster Computing (CLUSTER)}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, pages = {371-377} } @Inproceedings { inp:BOLT11, author = {Bolten, Matthias}, title = {Multigrid methods for long-range interactions}, year = {2011}, organization = {Forschungszentrum J{\{\dq}u}lich}, booktitle = {Fast methods for long-range interactions in complex systems}, volume = {6}, publisher = {Forschungszentrum J{\{\dq}u}lich}, address = {J{\{\dq}u}lich}, series = {IAS Series}, editor = {G. Sutmann and P. Gibbon and Th. Lippert}, pages = {115-130} } @Article { art:BOLT11b, author = {Bolten, Matthias and Thiess, A. and Yavneh, I. and Zeller, R.}, title = {Preconditioning systems arising from the KKR Green function method using block-circulant matrices}, year = {2011}, month = {January}, DOI = {10.1016/j.laa.2011.05.019}, journal = {Linear Algebra Appl.}, volume = {436}, pages = {436-446}, number = {2} } @Article { art:SAMI10, author = {Samiei, K. and Peters, B. and Bolten, Matthias and Frommer, A.}, title = {An implicit approach to predict the dynamics of granular media}, year = {2010}, month = {December}, DOI = {10.1002/pamm.201010020}, journal = {PAMM}, volume = {10}, pages = {55-56}, number = {1} } @Article { art:BOLT10, author = {Bolten, Matthias}, title = {Highly scalable multigrid algorithm for particle simulation}, year = {2010}, month = {December}, DOI = {10.1002/pamm.201010314}, journal = {PAMM}, volume = {10}, pages = {643-644}, number = {1} } @Article { art:SUTM10, author = {Sutmann, G. and Westphal, L. and Bolten, Matthias}, title = {Particle Based Simulations of Complex Systems with {MP2C}: Hydrodynamics and Electrostatics}, year = {2010}, DOI = {10.1063/1.3498216}, journal = {AIP Cong. Proc.}, volume = {1281}, pages = {1768-1772} } @Article { art:BOLT08, author = {Bolten, Matthias}, title = {Hierarchical grid coarsening for the solution of the Poisson equation in free space}, year = {2008}, journal = {Electron. Trans. Numer. Anal.}, volume = {29}, pages = {70-80}, file_url = {http://etna.mcs.kent.edu/vol.29.2007-2008/pp70-80.dir/pp70-80.pdf} } @Article { art:BOLT07, author = {Bolten, Matthias and Sutmann, G.}, title = {NFFT-based extension of a particle simulation method using multigrid}, year = {2008}, month = {December}, DOI = {10.1002/pamm.200700223}, journal = {PAMM}, volume = {7}, pages = {2140005-2140006}, number = {1} } @Inproceedings { inp:BOLT06, author = {Bolten, Matthias and Sutmann, G.}, title = {A highly accurate and optimal method to calculate long range interactions}, year = {2006}, booktitle = {Proceedings of the workshop ``From computational biophysics to systems biology''}, volume = {34}, publisher = {John von Neumann Institute for Computing}, address = {J{\{\dq}u}lich}, series = {NIC Series}, editor = {J. Meinke and O. Zimmermann and S. Mohanty and U.H.E. Hansmann}, pages = {189-192} } @Inproceedings { inp:BOLT05, author = {Bolten, Matthias and Papenberg, N. and Fischer, B. and Adamidis, P. and Rabenseifner, R. and Berger, H.}, title = {Parallelisierung eines Nichtlinearen Registrierungsalgorithmus zur Verarbeitung sehr gro{\{\dq}s}er Volumen-Daten}, year = {2005}, DOI = {10.1007/3-540-26431-0_74}, booktitle = {Bildverarbeitung f{\{\dq}u}r die Medizin 2005}, publisher = {Springer}, series = {Informatik Aktuell}, editor = {H. Meinzer and H. Handels and A. Horsch and T. Tolxdorff}, pages = {360-364} }