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Order stars and stiff integrators

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
125
Identifiers
DOI: 10.1016/s0377-0427(00)00461-1
Keywords
  • Stiff Differential Equations
  • Order Stars
  • A-Stability
Disciplines
  • Mathematics

Abstract

Abstract Order stars, introduced in G. Wanner, E. Hairer, S.P. N ørsett (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 and describe some recent developments.

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