My research is focused on the development and implementation of massive-scale parallel and adaptive algorithms, particularly for high-dimensional time-dependent partial differential equations. I am also interested in communication avoiding algorithms for numerical linear algebra.

• I am one of the main developer of HAParaNDA, a framework for high-dimensional parallel numerical dynamics
• Numerical Quantum Dynamics
• Projects within UPMARC

Refereed publications

• Data structures and algorithms for high-dimensional structured adaptive mesh refinement. Magnus Grandin. In Advances in Engineering Software, volume 82, pp 75-86, 2015. (DOI).
• Stable difference methods for block-oriented adaptive grids. Anna Nissen, Katharina Kormann, Magnus Grandin, and Kristoffer Virta. In Journal of Scientific Computing, volume 65, pp 486-511, 2015. (DOI).
• Communication-efficient algorithms for numerical quantum dynamics. Magnus Gustafsson, Katharina Kormann, and Sverker Holmgren. In Applied Parallel and Scientific Computing: Part II, volume 7134 of Lecture Notes in Computer Science, pp 368-378, Springer-Verlag, Berlin, 2012. (DOI).
• An implementation framework for solving high-dimensional PDEs on massively parallel computers. Magnus Gustafsson and Sverker Holmgren. In Numerical Mathematics and Advanced Applications: 2009, pp 417-424, Springer-Verlag, Berlin, 2010. (DOI).

Other papers and reports

• Adaptive Solvers for High-Dimensional PDE Problems on Clusters of Multicore Processors. Magnus Grandin. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 1199, Acta Universitatis Upsaliensis, Uppsala, 2014. (fulltext, preview image).
• Parallel data structures and algorithms for high-dimensional structured adaptive mesh refinement. Magnus Grandin and Sverker Holmgren. Technical report / Department of Information Technology, Uppsala University nr 2014-020, 2014. (External link).
• Data structures and algorithms for high-dimensional structured adaptive mesh refinement. Magnus Grandin. Technical report / Department of Information Technology, Uppsala University nr 2014-019, 2014. (External link).
• Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors. Magnus Gustafsson. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2012-003, Uppsala University, 2012. (fulltext).
• Numerical evaluation of the Communication-Avoiding Lanczos algorithm. Magnus Gustafsson, James Demmel, and Sverker Holmgren. Technical report / Department of Information Technology, Uppsala University nr 2012-001, 2012. (External link).
• Stable difference methods for block-structured adaptive grids. Magnus Gustafsson, Anna Nissen, and Katharina Kormann. Technical report / Department of Information Technology, Uppsala University nr 2011-022, 2011. (External link).
• Efficient implementation of a high-dimensional PDE-solver on multicore processors. Magnus Gustafsson and Sverker Holmgren. In Proc. 2nd Swedish Workshop on Multi-Core Computing, pp 64-66, Department of Information Technology, Uppsala University, Uppsala, Sweden, 2009.

Presentations

• M. Gustafsson: Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors, Licentiate seminar, Uppsala, March 2012.
• M. Gustafsson, K. Kormann, S. Holmgren: Communication-efficient Krylov methods for exponential integration in quantum dynamics, PARA 2010, Reykjavík, June 2010.
• M. Gustafsson, K. Kormann, S. Holmgren: Parallel Lanczos-based exponential integrators for quantum dynamics, CMCIM 2010, Copper Mountain, April 2010.
• M. Gustafsson, S. Holmgren: Multicore-tailored implementation of s-step methods for high-dimensional PDEs, SIAM PP 2010, Seattle, February 2010.
• M. Gustafsson, S. Holmgren: Optimizing high-dimensional stencil operators for multicore processors, MCC 2009, Uppsala, November 2009.
• M. Gustafsson, S. Holmgren: An implementation framework for solving high-dimensional PDEs on massively parallel computers, ENUMATH 2009, Uppsala, June 2009.

Posters

• M. Gustafsson, A. Nissen, K. Kormann: High-Dimensional Adaptive Grids for Time-Dependent PDEs, SIAM CSE, Reno, March 2011.

• Programming of Parallel Computers (Spring 2009, Spring 2011, Spring 2012)
• Scientific Computing I (Spring 2009, Spring 2010)