The exponential trapezoidal method for semilinear integro-differential equations
<|reference_start|>The exponential trapezoidal method for semilinear integro-differential equations: The exponential trapezoidal rule is proposed and analyzed for the numerical integration of semilinear integro-differential equations. Although the method is implicit, the numerical solution is easily obtained by standard fixed-point iteration, making its implementation straightforward. Second-order convergence in time is shown in an abstract Hilbert space framework under reasonable assumptions on the problem. Numerical experiments illustrate the proven order of convergence.<|reference_end|>
@article{ostermann2024the,
    title={The exponential trapezoidal method for semilinear integro-differential
  equations},
    author={Alexander Ostermann and Nasrin Vaisi},
    journal={arXiv preprint arXiv:2403.05900},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.05900},
    primaryClass={math.NA cs.NA}
}