Generalized convolution quadrature for the fractional integral and fractional diffusion equations

  title={Generalized convolution quadrature for the fractional integral and fractional diffusion equations},
  author={Jing Guo and Mar{\'i}a L{\'o}pez-Fern{\'a}ndez},
We consider the application of the generalized Convolution Quadrature (gCQ) of the first order to approximate fractional integrals and associated fractional diffusion equations. The gCQ is a generalization of Lubich's Convolution Quadrature (CQ) which allows for variable steps. In this paper we analyze the application of the gCQ to fractional integrals, with a focus on the low regularity case. It is well known that in this situation the original CQ presents an order reduction close to the… 



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