科研之友
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摘要
In this paper, we propose a multistep Legendre-Gauss spectral collocation method for nonlinear second-kind Volterra integral equations (VIEs) with vanishing variable delays. This method is easy to implement and possesses high-order accuracy. We also provide a rigorous convergence analysis of the hp-version of the multistep spectral collocation method under L-2-norm. Numerical results confirm the theoretical predictions.
