Foundations of Computational Mathematics, Santander 2005

doi:10.1017/CBO9780511721571

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Antippa, Adel F. and Dubois, Daniel M. 2007. Incursive discretization, system bifurcation, and energy conservation. Journal of Mathematical Physics, Vol. 48, Issue. 1,

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Edited by Luis M. Pardo, Universidad de Cantabria, Spain, Allan Pinkus, Technion - Israel Institute of Technology, Haifa, Endre Suli, University of Oxford, Michael J. Todd, Cornell University, New York

Publisher:: Cambridge University Press
Online publication date:: May 2010
Print publication year:: 2006
Online ISBN:: 9780511721571
DOI:: https://doi.org/10.1017/CBO9780511721571

Subjects:: Mathematics (general), Mathematics, Computer Science, Numerical Analysis and Computational Science, Scientific Computing, Scientific Software
Series:: London Mathematical Society Lecture Note Series (331)

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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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Foundations of Computational Mathematics, Santander 2005

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

1 - Non Universal Polynomial Equation Solving
pp 1-35

2 - Toward Accurate Polynomial Evaluation in Rounded Arithmetic
pp 36-105

3 - Sparse Grids for Higher Dimensional Problems
pp 106-161

4 - Long-time Energy Conservation
pp 162-180

5 - Dispersive Properties of Numerical Schemes for NSE
pp 181-207

6 - Eigenvalues and Nonsmooth Optimization
pp 208-229

7 - Discrete Noether Theorems
pp 230-254

8 - Hyperbolic 3-Manifolds and Their Computational Aspect
pp 255-273

9 - Smoothed Analysis of Algorithms and Heuristics
pp 274-342

10 - High-dimensional Transport-dominated Diffusion Problems
pp 343-370

11 - Greedy Approximations
pp 371-394

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Foundations of Computational Mathematics, Santander 2005

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