Convolution quadrature time discretization of fractional diffusion-wave equations

@article{Cuesta2006ConvolutionQT,
  title={Convolution quadrature time discretization of fractional diffusion-wave equations},
  author={Eduardo Cuesta and Christian Lubich and Cesar Palencia},
  journal={Math. Comput.},
  year={2006},
  volume={75},
  pages={673-696}
}
We propose and study a numerical method for time discretization of linear and semilinear integro-partial differential equations that are intermediate between diffusion and wave equations, or are subdiffusive. The method uses convolution quadrature based on the second-order backward differentiation formula. Second-order error bounds of the time discretization and regularity estimates for the solution are shown in a unified way under weak assumptions on the data in a Banach space framework… CONTINUE READING
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Convolution quadrature revisited, BIT

  • Ch. Lubich
  • 2004
2 Excerpts

A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces, Appl

  • E. Cuesta, C. Palencia
  • Numer. Math
  • 2003
1 Excerpt

Lubich and A . Schädle , Fast convolution for nonreflecting boundary conditions

  • I. H. Sloan Lubich, V. Thomée
  • SIAM J . Sci . Comp .
  • 2002

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