TY - JOUR
T1 - D-Convergence of One-Leg Methods for Stiff Delay Differential Equations
AU - Huang , Cheng-Ming
AU - Li , Shou-Fu
AU - Fu , Hong-Yuan
AU - Chen , Guang-Nan
JO - Journal of Computational Mathematics
VL - 6
SP - 601
EP - 606
PY - 2001
DA - 2001/12
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9012.html
KW - Nonlinear delay differential equations
KW - One-leg methods
KW - D-convergence
AB - <p style="text-align: justify;">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.</p>