From classical numerical mathematics to scientific computing
type: Item
instance of: scholarly article
title: From classical numerical mathematics to scientific computing
zbMATH Open document ID: 0905.65003
author: Wolfgang Hackbusch
published in: Documenta Mathematica
publication date: 1998-08-24T00:00:00Z
full work available at URL: https://eudml.org/doc/226565
full work available at URL: Hackbusch.MAN.html
review text: The author discusses the ways in which the evolution of computer hardware impacts the evolution of numerical mathematics. We are doing ever more elaborate and detailed computations, and this requires efficient local error estimation as well as the ability to do local adaptation of grids and algorithms. The increasing size of the computational problems also pushes us toward the development of algorithms which scale nearly linearly. In some respects these trends are compatible with the use of parallel computers, but we must beware of difficulties with load balancing.
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 1194149
zbMATH Keywords: scientific computing
zbMATH Keywords: adaptivity
zbMATH Keywords: evolution of computer hardware
zbMATH Keywords: evolution of numerical mathematics
zbMATH Keywords: efficient local error estimation
zbMATH Keywords: algorithms
zbMATH Keywords: parallel computers
zbMATH Keywords: load balancing
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
Recommended article: Q5393793
Recommended article: Q3151400
Recommended article: Q3606105
Recommended article: Calcolo numerico: Tradizioni secolari e tecniche recenti
Recommended article: Introduction to numerical analysis and scientific computing
Recommended article: Numerical Analysis and Scientific Computation
Recommended article: Numerical computation in science and engineering
Recommended article: Classical Numerical Analysis
description: scientific article; zbMATH DE number 1194149