@Article{JCM-19-6, author = {Huang, Cheng-Ming and Shou-Fu, Li and Hong-Yuan, Fu and Guang-Nan, Chen}, title = {D-Convergence of One-Leg Methods for Stiff Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {6}, pages = {601--606}, abstract = {
This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the error analysis of one-leg methods applied nonlinear stiff DDEs. It is proved that an A-stable one-leg method with a simple linear interpolation is D-convergent of order $p$, if it is consistent of order $p$ in the classical sense.
}, issn = {1991-7139}, doi = {https://doi.org/2001-JCM-9012}, url = {https://global-sci.com/article/85515/d-convergence-of-one-leg-methods-for-stiff-delay-differential-equations} }