en
Scientific article
English

Order Stars and Stiff Integrators

Published inJournal of computational and applied mathematics, vol. 125, no. 1-2, p. 93-105
Publication date2000
Abstract

Order stars, introduced in G. Wanner, E. Hairer, S.P. Nørsett (Order stars and stability theorems, BIT 18 (1978) 475–489), have become a fundamental tool for the understanding of order and stability properties of numerical methods for stiff differential equations. This survey retraces their discovery and their principal achievements. We also sketch some later extensions as well as recent developments and open problems.

Keywords
  • Stiff differential equations
  • Order stars
  • A-stability
Citation (ISO format)
HAIRER, Ernst, WANNER, Gerhard. Order Stars and Stiff Integrators. In: Journal of computational and applied mathematics, 2000, vol. 125, n° 1-2, p. 93–105. doi: 10.1016/S0377-0427(00)00461-1
Identifiers
ISSN of the journal0377-0427
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