Numerical approximation of linear parabolic evolution equations revisited
<|reference_start|>Numerical approximation of linear parabolic evolution equations revisited: We obtain rates of convergence of numerical approximations of linear parabolic evolution equations. Our estimates extend known results like Theorem 3.5 in \cite{thomee} to more general equations and accommodate more advanced numerical approximation techniques. As an example, we consider parabolic equations on surfaces, and surface finite element approximations.<|reference_end|>
@article{auestad2024numerical,
    title={Numerical approximation of linear parabolic evolution equations
  revisited},
    author={{O}yvind Stormark Auestad},
    journal={arXiv preprint arXiv:2406.02796},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.02796},
    primaryClass={math.NA cs.NA}
}