Abstract
ESIRK methods (Effective order Singly-Implicit Runge–Kutta methods) have been shown to be efficient for the numerical solution of stiff differential equations. In this paper, we consider a new implementation of these methods with a variable order strategy. We show that the efficiency of the ESIRK method for stiff problems is improved by using the proposed variable order schemes.
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Chen, D. Variable-Order ESIRK Methods for Stiff Differential Equations. Numerical Algorithms 31, 103–114 (2002). https://doi.org/10.1023/A:1021156206196
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DOI: https://doi.org/10.1023/A:1021156206196