We propose a spectral collocation method based on the Chebyshev–Gauss–Lobatto points for linear Volterra integro-differential equations with vanishing delays. We derive an - version a-priori error estimate in the -norm that is completely explicit in the local time steps and the local polynomial degrees. Numerical experiments are provided to confirm the theoretical results.
"An $h$-$p$ version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays." J. Integral Equations Applications 32 (1) 101 - 128, Spring 2020. https://doi.org/10.1216/JIE.2020.32.101