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• W2045494841 abstract "We analyze the stability properties of W-methods applied to the parabolic initial value problem u′+Au=Bu. We work in an abstract Banach space setting, assuming that A is the generator of an analytic semigroup and that B is relatively bounded with respect to A. Since W-methods treat the term with A implicitly, whereas the term involving B is discretized in an explicit way, they can be regarded as splitting methods. As an application of our stability results, convergence for nonsmooth initial data is shown. Moreover, the layout of a geometric theory for discretizations of semilinear parabolic problems u′+Au=f(u) is presented." @default.
• W2045494841 created "2016-06-24" @default.
• W2045494841 creator A5047834422 @default.
• W2045494841 date "2002-08-01" @default.
• W2045494841 modified "2023-09-26" @default.
• W2045494841 title "Stability of W-methods with applications to operator splitting and to geometric theory" @default.
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• W2045494841 doi "https://doi.org/10.1016/s0168-9274(01)00160-x" @default.
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