On the strong stability of operator-difference schemes in time-integral norms (Q2723228)

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scientific article; zbMATH DE number 1614306
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On the strong stability of operator-difference schemes in time-integral norms
scientific article; zbMATH DE number 1614306

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    1 August 2001
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    operator-difference scheme
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    strong stability
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    evolution equations
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    error bounds
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    operator perturbation
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    Hilbert spaces
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    time-integral norms
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    On the strong stability of operator-difference schemes in time-integral norms (English)
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    The paper deals with the construction of stability estimates for two-level operator-difference schemes in Hilbert spaces in the case of perturbed operators, right-hand side and of the initial condition. A priori estimates of the error are obtained in time-integral norms under some natural assumptions on the perturbations of the operators.
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