Min forskning riktar sig mot utveckling och implementation av storskaliga adaptiva algoritmer, framförallt för högdimensionella tidsberoende partiella differentialekvationer. Jag är även intresserad av kommunikationsminimerande algoritmer för numerisk linjär algebra.

• HAParaNDA, ett adaptivt parallellt ramverk för högdimensionella tidsberoende PDE-problem
• Numerisk kvantdynamik
• Projekt inom UPMARC

Granskade publikationer

• Data structures and algorithms for high-dimensional structured adaptive mesh refinement. Magnus Grandin. I Advances in Engineering Software, volym 82, pp 75-86, 2015. (DOI).
• Stable difference methods for block-oriented adaptive grids. Anna Nissen, Katharina Kormann, Magnus Grandin och Kristoffer Virta. I Journal of Scientific Computing, volym 65, pp 486-511, 2015. (DOI).
• Communication-efficient algorithms for numerical quantum dynamics. Magnus Gustafsson, Katharina Kormann och Sverker Holmgren. I Applied Parallel and Scientific Computing: Part II, volym 7134 av 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 och Sverker Holmgren. I Numerical Mathematics and Advanced Applications: 2009, pp 417-424, Springer-Verlag, Berlin, 2010. (DOI).

Andra artiklar och rapporter

• Adaptive Solvers for High-Dimensional PDE Problems on Clusters of Multicore Processors. Magnus Grandin. Doktorsavhandling, 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 och Sverker Holmgren. Technical report / Department of Information Technology, Uppsala University nr 2014-020, 2014. (Extern länk).
• 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. (Extern länk).
• Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors. Magnus Gustafsson. Licentiatavhandling, 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 och Sverker Holmgren. Technical report / Department of Information Technology, Uppsala University nr 2012-001, 2012. (Extern länk).
• Stable difference methods for block-structured adaptive grids. Magnus Gustafsson, Anna Nissen och Katharina Kormann. Technical report / Department of Information Technology, Uppsala University nr 2011-022, 2011. (Extern länk).
• Efficient implementation of a high-dimensional PDE-solver on multicore processors. Magnus Gustafsson och Sverker Holmgren. I Proc. 2nd Swedish Workshop on Multi-Core Computing, pp 64-66, Department of Information Technology, Uppsala University, Uppsala, Sweden, 2009.

Presentationer

• 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.

Postrar

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

Kurser jag har undervisat:

• Programmering av Parallelldatorer (VT 2009, VT 2011, VT 2012)
• Beräkningsvetenskap I (VT 2009, VT 2010)