Research Foci
- Hardware-Oriented Numerics
- Krylov methods for modern hardware
- Communication aware methods
- Design of numerical software
CV
Academic Education
- Postdoc in the workgroup of Christian Engwer, University of Münster
- PhD Student in the Workgroup of Christian Engwer, Institute for Computational and Applied Mathematics, University of Münster
- academical studies (Mathematics, University of Muenster)
Positions
- Scientific Employee, University of Münster
- Apprenticeship as Computer specialist (Application development) at CADLine GmbH, Bad Oeynhausen
Teaching
- Praktikum: Introduction to Numerical Programming with Python [108410]
(in cooperation with Dr. Frank Wübbeling)
- Vorlesung: Numerics for partial differential equations I [104408]
(in cooperation with Prof. Dr. Christian Engwer) - Tutorial Numerics of Partial Differential Equations I [104415]
(in cooperation with Prof. Dr. Christian Engwer)
- Vorlesung: Numerical Analysis [108043]
(in cooperation with Prof. Dr. Christian Engwer) - Tutorial Numerical Analysis [108044]
(in cooperation with Prof. Dr. Christian Engwer)
- Praktikum: Introduction to Numerical Programming with Python [108410]
Project
- EXA-DUNE – SPP 1648 - Subproject: EXA-DUNE - Flexible PDE Solvers, Numerical Methods, and Applications ( – )
Subproject in DFG-Joint Project Hosted outside the University of Münster: DFG - Priority Programme | Project Number: EN 1042/2-2; OH 98/5-2
- EXA-DUNE – SPP 1648 - Subproject: EXA-DUNE - Flexible PDE Solvers, Numerical Methods, and Applications ( – )
Publications
Selection
- Bastian, P, Blatt, M, Dedner, A, Dreier, N, Engwer, C, Fritze, R, Gräser, C, Kempf, D, Klöfkorn, R, Ohlberger, M, and Sander, O. . “The DUNE Framework: Basic Concepts and Recent Developments.” Computers & Mathematics with Applications, № 81: 75–112. doi: 10.1016/j.camwa.2020.06.007.
- Dreier, Nils-Arne, and Engwer, Christian. . “Strategies for the vectorized Block Conjugate Gradients method.” contribution to the ENUMATH2019, Egmond aan Zee, The Netherlands
- Engwer Christian, Altenbernd Mirco, and Dreier Nils-Arne, Dominik Göddeke. . “A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application.” contribution to the 26th Euromicro International Conference on Parallel, Distributed and Network-based Processing, Cambridge, Vereinigtes Königreich doi: 10.1109/PDP2018.2018.00117.
Complete List
- Bastian, P, Blatt, M, Dedner, A, Dreier, N, Engwer, C, Fritze, R, Gräser, C, Kempf, D, Klöfkorn, R, Ohlberger, M, and Sander, O. . “The DUNE Framework: Basic Concepts and Recent Developments.” Computers & Mathematics with Applications, № 81: 75–112. doi: 10.1016/j.camwa.2020.06.007.
- Dreier, Nils-Arne, and Engwer, Christian. . “Strategies for the vectorized Block Conjugate Gradients method.” contribution to the ENUMATH2019, Egmond aan Zee, The Netherlands
- Dreier, Nils-Arne. . “Hardware-Oriented Krylov Methods for High-Performance Computing.” Dissertation thesis, WWU Münster. doi: 10.48550/arXiv.2104.02494.
- Bastian, P, Altenbernd, M, Dreier, N, Engwer, C, Fahlke, J, Fritze, R, Geveler, M, Göddeke, D, Iliev, O, Ippisch, O, Mohring, J, Müthing, S, Ohlberger, M, Ribbrock, D, Shegunov, N, and Turek, S. . “Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications.” in Software for Exascale Computing - SPPEXA 2016-2019, Vol. 136 of LNCSE, edited by Reiz Severin. Uekermann Benjamin Bungartz Hans-Joachim and Nagel Wolfgang E Neumann Philipp. Basel: Springer International Publishing. doi: 10.1007/978-3-030-47956-5_9.
- Altenbernd Mirco, Dreier Nils-Arne, and Engwer Christian, Göddeke Dominik. Forthcoming. “Towards local-failure local-recovery in PDE frameworks: the case of linear solvers.” contribution to the HPCSE 2019, Ostrava, Czech Republic
- Dreier, Nils-Arne, Engwer, Christian, and Hartmann, Dirk. . “Galerkin local maximum entropy method.” International Journal for Numerical Methods in Fluids doi: 10.1002/fld.4513.
- Engwer Christian, Altenbernd Mirco, and Dreier Nils-Arne, Dominik Göddeke. . “A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application.” contribution to the 26th Euromicro International Conference on Parallel, Distributed and Network-based Processing, Cambridge, Vereinigtes Königreich doi: 10.1109/PDP2018.2018.00117.
Scientific Talks
- Dreier, Nils-Arne : “Hardware-Oriented Block Krylov Methods”. Communications in NLA, Online, .
- Dreier, Nils-Arne; Engwer Christian : “Strategies for vectorized Block Conjugate Gradient methods”. 7th Applied Mathematics Symposium Münster, Advanced Solvers for modern Architectures 2019 , Münster, .
- Dreier, Nils-Arne; Engwer Christian : “Optimizing communication of Krylov subspace methods using blocking and pipelining techniques”. 19th Copper Mountain Conference On Multigrid Methods , Copper Mountain, CO, US, .
- Dreier, Nils-Arne; Engwer, Christian : “A high-level C++ approach to asynchrony and faults in MPI”. ECCOMAS ECCM-ECFD 2018, Glasgow, UK, .
- Dreier, Nils-Arne; Engwer Christian : “A high-level C++ approach to asynchrony and faults in MPI”. PDESoft, Bergen, NO, .
- Altenbernd, Mirco;Dreier, Nils-Arne; Engwer, Christian; Göddeke, Dominik : “A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application”. PDP 2018, Cambridge, UK, .