, Volume 102, Issue 3, pp 367-381
Date: 05 Dec 2005

A class of explicit multistep exponential integrators for semilinear problems

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A class of explicit multistep exponential methods for abstract semilinear equations is introduced and analyzed. It is shown that the k-step method achieves order k, for appropriate starting values, which can be computed by auxiliary routines or by one strategy proposed in the paper. Together with some implementation issues, numerical illustrations are also provided.