D-convergence of one-leg methods for stiff delay differential equations Academic Article uri icon

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.

author list (cited authors)

  • Huang, C. M., Li, S. F., Fu, H. Y., & Chen, G. N.

publication date

  • November 2001