1. ExaFMM --An open source fast multipole method library aimed for Exascale systems Rio Yokota (KAUST), L. A. Barba (BU)

2. Features of ExaFMM For application scientists: Easy to use --simple interface, tutorials, support Many short examples For algorithm developers: Flexible framework for further experimentation Many alternative modules, controllable parameters For hackers: Detailed comments in source code Many unit tests, regression tests

3. Current features 1. Auto-tuning for heterogeneous architectures 2. Optimized kernels for both high & low accuracy 3. Periodic boundary conditions 4. Recursive multi-section partitioning/load balancing 5. Hierarchical MPI communication with overlapping

4. 1. Auto-tuning

5. 2. Optimized kernels Cartesian Taylor series O(p 6 ) Spherical harmonics O(p 4 ) Spherical harmonics + rotation O(p 3 ) Spherical harmonics + plane wave O(p 3 ) Laplace : G, ∇ G, ∇ G×, ∇∇ G Helmholtz : G Stokes : G

6. 3. Periodic boundary conditions

7. 4. Recursive multisection

8. 5. Hierarchical communication

9. Applications and Performance Benchmarks

10. Bio-molecular application

11. Turbulence application

12. Scalability on Kraken

13. Large GPU systems

14. Strong scaling (N=10 8 )

15. Weak scaling

16. Comparison with 2010 Gordon Bell

17. ExaFMM official release today Details & download: http://www.bu.edu/exafmm https://bitbucket.org/exafmm/exafmm/overview