Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation

@inproceedings{McLean2010MaximumnormEA,
  title={Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation},
  author={William McLean and Vidar Thom{\'e}e},
  year={2010}
}
In a previous paper, McLean & Thomee (2009, J. Integr. Equ. Appl. (to appear)), we studied three numerical methods for the discretization in time of a fractional-order evolution equation in a Banach space framework. Each of the methods applied a quadrature rule to a contour integral representation of the solution in the complex plane, where for each quadrature point an elliptic boundary-value problem had to be solved to determine the value of the integrand. The first two methods involved the… CONTINUE READING

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