Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems
- 1 April 1982
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 2 (2) , 211-227
- https://doi.org/10.1093/imanum/2.2.211
Abstract
A general approach to the problem of deriving one step formulae for the approximate numerical integration of stiff systems of first order ordinary differential equations is discussed. An efficient class of integration methods is derived and their computational aspects are discussed in detail. Several sets of numerical results are presented and a comparison is made with the DIRK formulae of Alexander (1977).Keywords
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