Foundations of Computational Mathematics, Budapest 2011

Preface List of contributors 1. The state of the art in Smale's 7th problem C. Beltran 2. The shape of data Gunnar Carlsson 3. Upwinding in finite element systems of differential forms S. H. Christiansen 4. On the complexity of computing quadrature formulas for SDEs S. Dereich, T. Muller-Gronbach and K. Ritter 5. The quantum walk of F. Riesz F. A. Grunbaum and L. Velazquez 6. Modulated Fourier expansions for continuous and discrete oscillatory systems E. Hairer and Ch. Lubich 7. The dual role of convection in 3D Navier-Stokes equations T. Y. Hou, Z. Shi and S. Wang 8. Algebraic and differential invariants Evelyne Hubert 9. Through the kaleidoscope: symmetries, groups and Chebyshev-approximations from a computational point of view H. Munthe-Kaas, M. Nome and B. N. Ryland 10. Sage: creating a viable free open source alternative to Magma, Maple, Mathematica and MATLAB W. Stein.