On the Design of a Variable Order, Variable Step Diagonally Implicit Runge-Kutta Algorithm
- 1 August 1980
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 26 (1) , 87-91
- https://doi.org/10.1093/imamat/26.1.87
Abstract
A class of variable order/variable step diagonally implicit Runge-Kutta formulae suitable for the numerical integration of stiff systems of O.D.E.s is given. Numerical results indicate that an algorithm based on these formulae is generally superior to algorithms based on fixed order formulae.Keywords
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