Two-step General Linear Methods for Retarded Functional Differential Equations
arXiv:0901.46091 citationsh-index: 1
Originality Synthesis-oriented
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Provides higher-order numerical methods for solving retarded functional differential equations, which are important in various applications but often suffer from order reduction.
The paper develops explicit two-step general linear methods up to order five for retarded functional differential equations, achieving high uniform stage order to avoid order reduction in mildly stiff problems.
This paper presents a class of Two-Step General Linear Methods for the numerical solution of Retarded Functional Differential Equations. Explicit methods up to order five are constructed. To avoid order reduction for mildly stiff problems the uniform stage order of the methods is chosen to be close to uniform order.