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E-raamat: Foundations of Computational Mathematics, Santander 2005

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Edited by (University of Oxford), Edited by (Technion - Israel Institute of Technology, Haifa), Edited by (Universidad de Cantabria, Spain), Edited by (Cornell University, New York)
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Surveys and summaries of latest research in numerical analysis, optimization, computer algebra and scientific computing.

This volume is a collection of articles based on the plenary talks presented at the 2005 meeting in Santander of the Society for the Foundations of Computational Mathematics. The talks were given by some of the foremost world authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness and fertility of interactions between seemingly unrelated branches of pure and applied mathematics. As a result this volume will be of interest to researchers in the field of computational mathematics and also to non-experts who wish to gain some insight into the state of the art in this active and significant field.

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Surveys and summaries of latest research in numerical analysis, optimization, computer algebra and scientific computing.
1. Fokker-Planck equations, diluted polymers and sparse finite element methods Endre Suli
2. Low-volume hyperbolic 3-manifolds Robert Meyerhoff
3. Algorithms in topical algebraic geometry Bernd Sturmfels
4. Estimates on the probability distribution of condition numbers of special data Luis Pardo
5. Long-time energy conservation of numerical integrators Ernst Hairer
6. Greedy approximations Vladimir Temlyakov
7. Noether's theorem for smooth, finite difference and finite element models E. L. Mansfield
8. Numerical integration in hundreds of dimensions: the lattice side of the story Ian Sloan
9. Computational homology in dynamical systems Konstantin Mischaikow
10. Numerical methods for high(er)-dimensional problems Michael Griebel
11. Nonsmooth optimization and eigenvalues Adrian Lewis
12. The cost of accurate numerical linear algebra Jim Demmel.


Luis Pardo is a Professor at the Universidad de Cantabria, Santander, Spain. Allan Pinkus holds the Margaret Mosnefelder Harris Chair in Mathematics at the Technicon Israel Institute of Technology. Endre Süli is a Professor of Numerical Analyis at Oxford University Computing Laboratory and a Fellow of Linacre College. Mile Todd is a Leon C. Welch Professor at the School of Operations Research and Industrial Engineering, Cornell University.
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