An A Posteriori-A Priori Analysis of Multiscale Operator Splitting

@article{Estep2008AnAP,
  title={An A Posteriori-A Priori Analysis of Multiscale Operator Splitting},
  author={Donald J. Estep and Victor Ginting and David L. Ropp and John N. Shadid and Simon Tavener},
  journal={SIAM J. Numerical Analysis},
  year={2008},
  volume={46},
  pages={1116-1146}
}
In this paper, we analyze a multiscale operator splitting method for solving systems of ordinary differential equations such as those that result upon space discretization of a reactiondiffusion equation. Our goal is to analyze and accurately estimate the error of the numerical solution, including the effects of any instabilities that can result from multiscale operator splitting. We present both an a priori error analysis and a new type of hybrid a priori–a posteriori error analysis for an… CONTINUE READING

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