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- W2007657466 abstract "In this paper we study the convergence behaviour and geometric properties of Strang splitting applied to semilinear evolution equations. We work in an abstract Banach space setting that allows us to analyse a certain class of parabolic equations and their spatial discretisations. For this class of problems, Strang splitting is shown to be stable and second-order convergent. Moreover, it is shown that exponential operator splitting methods and in particular the method of Strang will preserve positivity in certain situations. A numerical illustration of the convergence behaviour is included." @default.
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- W2007657466 date "2012-10-01" @default.
- W2007657466 modified "2023-09-25" @default.
- W2007657466 title "A second-order positivity preserving scheme for semilinear parabolic problems" @default.
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- W2007657466 doi "https://doi.org/10.1016/j.apnum.2012.06.003" @default.
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