The Society for the Foundations of Computational Mathematics supports and promotes fundamental research in computational mathematics and its applications, interpreted in the broadest sense. It fosters interaction among mathematics, computer science and other areas of computational science through its conferences, workshops and publications. As part of this endeavour to promote research across a wide spectrum of subjects concerned with computation, the Society brings together leading researchers working in diverse fields. Major conferences of the Society have been held in Park City (1995), Rio de Janeiro (1997), Oxford (1999), Minneapolis (2002), Santander (2005), Hong Kong (2008), and Budapest (2011). The next conference is expected to be held in 2014. More information about FoCM is available at its website http://focmsociety. org.

The conference in Budapest on July 4 – 14, 2011, was attended by some 450 scientists. FoCM conferences follow a set pattern: mornings are devoted to plenary talks, while in the afternoon the conference divides into a number of workshops, each devoted to a different theme within the broad theme of foundations of computational mathematics. This structure allows for a very high standard of presentation, while affording endless opportunities for cross-fertilization and communication across subject boundaries. Workshops at the Budapest conference were held in the following nineteen fields:

1. – Approximation theory

2. – Asymptotic analysis and high oscillation

3. – Computational algebraic geometry

4. – Computational dynamics

5. – Computational harmonic analysis, image and signal processing

6. – Computational number theory

7. – Continuous optimization

8. – Flocking, swarming, and control of distributed systems

9. – Foundations of numerical PDEs

10. – Geometric integration and computational mechanics

11. – Information-based complexity

12. – Learning theory

13. – Multiresolution and adaptivity in numerical PDEs

14. – Numerical linear algebra

15. – Random matrix theory, computations & applications

16. – Real-number complexity

17. – Special functions and orthogonal polynomials

18. – Stochastic computation

19. – Symbolic analysis