Foundations of Computational Mathematics, Budapest 2011 [Paperback]

A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.This volume brings together articles based on the plenary talks at the Foundations of Computational Mathematics 2011 meeting in Budapest. The articles, which reflect the breadth of research within computational mathematics, will appeal to researchers in related areas and non-experts who wish to gain insight into this significant field.This volume brings together articles based on the plenary talks at the Foundations of Computational Mathematics 2011 meeting in Budapest. The articles, which reflect the breadth of research within computational mathematics, will appeal to researchers in related areas and non-experts who wish to gain insight into this significant field.The Foundations of Computational Mathematics meetings are a platform for cross-fertilisation between numerical analysis, mathematics and computer science. This volume is a collection of articles based on plenary presentations, given at the 2011 meeting, by some of the world's foremost authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness 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.Preface; List of contributors; 1. The state of the art in Smale's 7th problem C. Beltr?n; 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. M?ller-Gronbach and K. Ritter; 5. The quantum walk of F. Riesz F. A. Gr?nbaum and L. Vel?zquez; 6. Modulated Fourier expansions for continuous and discrete oscillatory systelcØ