# 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} }

- Published 2010
DOI:10.1093/imanum/drp004

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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