Continuous Volterra-Runge-Kutta methods for integral equations with pure delay

@article{Baddour1993ContinuousVM,
  title={Continuous Volterra-Runge-Kutta methods for integral equations with pure delay},
  author={Natalie Baddour and Hermann Brunner},
  journal={Computing},
  year={1993},
  volume={50},
  pages={213-227}
}
In the following we give an analysis of the local superconvergence properties of piecewise polynomial collocation methods and related continuous Runge-Kutta-type methods for Volterra integral equations with constant delay. We show in particular that (in contrast to delay differential equations) collocation at the Gauss points does not lead to higher-order convergence and thusm-stage Gauss-Runge-Kutta methods for delay Volterra equations do not possess the orderp=2m. Diese Arbeit befaßt sich mit… CONTINUE READING

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