Numerische Mathematik

, Volume 102, Issue 3, pp 367–381 | Cite as

A class of explicit multistep exponential integrators for semilinear problems

Article

Abstract

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.

Mathematics Subject Classifications (2000)

65J15 65M12 65L05 65M20 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Departamento de Matemática AplicadaUniversidad de ValladolidSpain

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