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Stability and error of the variable two-step BDF for semilinear parabolic problems - MaRDI portal

Stability and error of the variable two-step BDF for semilinear parabolic problems (Q2574324)

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Stability and error of the variable two-step BDF for semilinear parabolic problems
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    Stability and error of the variable two-step BDF for semilinear parabolic problems (English)
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    21 November 2005
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    The temporal discretization of a moderate semilinear parabolic problem in an abstract setting by the backward differentiation formula with variable step sizes is analyzed. Solvability of original and time-discrete problem is proved. The author derives stability and optimal smooth data error estimates.
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    semilinear parabolic problem
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    time discretization
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    stability
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    error estimates
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    nonuniform grid
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