Corpus ID: 145051633

Convergence of stationary radial basis function-schemes for evolution equations

@article{Baxter2019ConvergenceOS,
  title={Convergence of stationary radial basis function-schemes for evolution equations},
  author={Bradley John Charles Baxter and Raymond Brummelhuis},
  journal={arXiv: Numerical Analysis},
  year={2019}
}
We establish precise convergence rates for semi-discrete schemes based on Radial Basis Function interpolation, as well as approximate approximation results for such schemes. Our schemes use stationary interpolation on regular grids, with basis functions from a general class of functions generalizing one introduced earlier by M. Buhmann. Our results apply to parabolic equations such as the heat equation or Kolmogorov-Fokker-Planck equations associated to L\'evy processes, but also to certain… Expand

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