Acta Numerica 1993: Volume 2

Acta Numerica is an annual publication containing invited survey papers by leading researchers in a number of areas.

Arieh Iserles (Edited by)

9780521443562, Cambridge University Press

Hardback, published 30 April 1993

334 pages
25.5 x 18.1 x 2.9 cm, 0.66 kg

Review of the hardback: 'Acta Numerica is a fine achievement and I think we can expect to see it for many years to come. It sets itself laudable and important goals and has, to a large extent, achieve them. I believe that the volumes are of enormous benefit to our subject … The editorial board should be applauded for having the vision and drive necessary to create and sustain such a high quality publication … No mathematics library is complete without this annual publication, and I urge everyone working in numerical mathematics and scientific computing to read it.' Andrew Stuart, SIAM Review

Continuing the tradition established with the 1992 volume, 1993's Acta Numerica presents six invited papers on a broad range of topics from numerical analysis. Papers treat each topic at a level intelligible by any numerical analyst from graduate student to professional. Highlights include advances in numerical techniques such as finite elements and multigrid methods, stability analysis for initial value problems, graphical problems such as path following and multivariate splines, and a lengthy paper on parallel methods in linear algebra. This volume will be an essential reference for any practising numerical analyst.

1. Continuation and path following Eugene L. Allgower and Kurt Georg
2. Multivariate piecewise polynomials C. De Boor
3. Parallel numerical linear algebra James W. Demmel, Michael T. Heath and Henk A. van der Vorst
4. Linear stability analysis in the numerical solution of initial value problems J. L. M. van Dorsselaer, J. F. B. M. Kraaijevanger and M. N. Spijker
5. Finite element solution of the Navier–Stokes equations Michael Fortin
6. Old and new convergence proofs for multigrid methods Harry Yserentant.

Subject Areas: Numerical analysis [PBKS]