Resumen de Block boundary value methods for delay differential equation

Chengjian Zhang, Hao Chen

• In this paper, a class of block boundary value methods (BBVMs) for the initial value problems of delay differential equations are suggested. It is proven under the classical Lipschitz condition that a BBVM is convergent of order p if it is consistent of order p. Several linear stability criteria for the BBVMs are derived. Numerical experiments further confirm the convergence and the effectiveness of the methods.