Publications

  • M. Heene, A. P. Hinojosa, M. Obersteiner, H.-J. Bungartz, and D. Pflüger. EXAHD - An Exa-Scalable Two-Level Sparse Grid Approach for Higher- Dimensional Problems in Plasma Physics and Beyond. High Performance Computing in Science and Engineering'17, 2018.

  • M. Griebel and P. Oswald. Stable splittings of Hilbert spaces of functions of infinitely many variables. In: Journal of Complexity, 41:126–151, 2017,

  • M. Griebel and P. Oswald. Stochastic subspace correction in Hilbert space. Submitted to Constructive Approximation. 2017.

  • M. Obersteiner, A. P. Hinojosa, M. Heene, H.-J. Bungartz, and D. Pflüger. A Highly Scalable, Algorithm-based Fault-tolerant Solver for Gyrokinetic Plasma Simulations. In Proceedings of the 8th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems, ScalA ’17, pages 2:1–2:8, New York, NY, USA, 2017. ACM.

  • M. Heene, A. Parra Hinojosa, D. Pflüger, and H.-J. Bungartz. A Massively-Parallel, Fault-Tolerant Solver for High-Dimensional PDEs. In: Desprez F. et al. (eds) Euro-Par 2016: Parallel Processing Workshops. Euro-Par 2016. Lecture Notes in Computer Science, vol 10104, Springer 2017.

  • M. Heene and D. Pflüger. Scalable algorithms for the solution of higher-dimensional PDEs. In: Bungartz HJ., Neumann P., Nagel W. (eds) Software for Exascale Computing - SPPEXA 2013-2015. Lecture Notes in Computational Science and Engineering, vol 113. Springer, 2016.

  • A. Parra Hinojosa, B. Harding, M. Hegland, and H.-J. Bungartz. Handling Silent Data Corruption with the Sparse Grid Combination Technique. In: Bungartz HJ., Neumann P., Nagel W. (eds) Software for Exascale Computing - SPPEXA 2013-2015. Lecture Notes in Computational Science and Engineering, vol 113. Springer, 2016.

  • M. Heene, and D. Pflüger. Efficient and scalable distributed-memory hierarchization algorithms for the sparse grid combination technique. In: Advances in Parallel Computing, vol. 27, Parallel Computing: On the Road to Exascale, IOS Press, 2016.

  • P. Hupp, M. Heene, R. Jacob, and D. Pflüger. Global communication schemes for the numerical solution of high-dimensional PDEs. In Parallel Computing, 52, Elsevier, 2016.

  • B. Peherstorfer, C. Kowitz, D. Pflüger, and H.-J. Bungartz. Selected recent applications of sparse grids. Numerical Mathematics: Theory, Methods and Applications, 8(01), pp.47-77, 2015.

  • M. Griebel, A. Hullmann, and P. Oswald. Optimal scaling parameters for sparse grid discretizations. Numerical Linear Algebra with Applications, 22(1):76 - 100, 2015.

  • D. Pflüger, H.-J. Bungartz, M. Griebel, F. Jenko, T. Dannert, M. Heene, A. Parra Hinojosa, C. Kowitz, and P. Zaspel. EXAHD: An exa-scalable two-level sparse grid approach for higher-dimensional problems in plasma physics and beyond. EuroPar 2014, 2014.

  • M. Griebel and P. Oswald. Schwarz Iterative Methods: Infinite Space Splittings. Constructive Approximation, pp.1-19, 2014.

  • H. Doerk and F. Jenko. Towards optimal explicit time-stepping schemes for the gyrokinetic equations. Computer Physics Communications, 185(7):1938 - 1946, 2014.

  • M. Heene, C. Kowitz, and D. Pflüger. Load balancing for massively parallel computations with the sparse grid combination technique. In Parallel Computing: Accelerating Computational Science and Engineering (CSE), Volume 25 of Advances in Parallel Computing, p. 574 - 583. IOS Press, Amsterdam, March 2014.

  • P. Hupp, R. Jacob, M. Heene, D. Pflüger, and M. Hegland. Global communication schemes for the sparse grid combination technique. In Parallel Computing: Accelerating Computational Science and Engineering (CSE), Volume 25 of Advances in Parallel Computing, p. 564 - 573. IOS Press, Amsterdam, March 2014.

  • T. Dannert, A. Marek, and M. Rampp. Porting large hpc applications to gpu clusters: The codes gene and vertex. CoRR, abs/1310.1485, 2013.

  • C. Kowitz and M. Hegland. The sparse grid combination technique for computing eigenvalues in linear gyrokinetics. Procedia Computer Science, 18(0):449 - 458, 2013.

  • C. Kowitz, D. Pflüger, F. Jenko, and M. Hegland. The combination technique for the initial value problem in linear gyrokinetics. In Sparse Grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 205 - 222, Heidelberg, October 2012. Springer.