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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.
Table of contents:
1. Non universal polynomial equation solving C. Beltr´an and L. M. Pardo; 2. Toward accurate polynomial evaluation in rounded arithmetic James Demmel, Ioana Dumitriu and Olga Holtz; 3. Sparse grids for higher dimensional problems Michael Griebel; 4. Long-time energy conservation Liviu I. Ignat and Enrique Zuazua; 5. Dispersive properties of numerical schemes for NSE Ernst Hairer; 6. Eigenvalues and nonsmooth optimization Adrian Lewis; 7. Discrete noether theorems E. L. Mansfield; 8. Hyperbolic 3-manifolds and their computational aspects G. Robert Meyerhoff ; 9. Smoothed analysis of algorithms and heuristics A. Spielman and Shang-Hua Teng; 10. High-dimensional transport-dominated diffusion problems Endre S¨uli; 11. Greedy approximations V. N. Temlyakov.
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.
Table of contents:
1. Non universal polynomial equation solving C. Beltr´an and L. M. Pardo; 2. Toward accurate polynomial evaluation in rounded arithmetic James Demmel, Ioana Dumitriu and Olga Holtz; 3. Sparse grids for higher dimensional problems Michael Griebel; 4. Long-time energy conservation Liviu I. Ignat and Enrique Zuazua; 5. Dispersive properties of numerical schemes for NSE Ernst Hairer; 6. Eigenvalues and nonsmooth optimization Adrian Lewis; 7. Discrete noether theorems E. L. Mansfield; 8. Hyperbolic 3-manifolds and their computational aspects G. Robert Meyerhoff ; 9. Smoothed analysis of algorithms and heuristics A. Spielman and Shang-Hua Teng; 10. High-dimensional transport-dominated diffusion problems Endre S¨uli; 11. Greedy approximations V. N. Temlyakov.